List the angles of triangle DEF in order from smallest to largest measure if DE = 7, EF = 9, and DF = 3.


∠D, ∠E, ∠F


∠E, ∠F, ∠D


∠F, ∠E, ∠D


∠D, ∠F, ∠E

Answers

Answer 1
The angles in order from smallest to largest would be ∠E, ∠F, ∠D.

∠D is opposite side EF.  ∠E is opposite side DF.  ∠F is opposite side DE.  The sides that are the smallest correspond with the smallest angles, and the sides that are the largest correspond with the largest angles.
Answer 2
Answer: The order from smallest to largest is <E, <F, <D

First, you should draw a picture of triangle DEF and label all of the sides. Then, you will have an idea of what the triangle looks like and the relative size of the angles.

You can also look at the side opposite of the angle. The larger the opposite side, the larger the angle.


Related Questions

Describe one way that concepts about similarity could be used in real life

Answers

1. Personality in Twins. This is an example of similarity. Suppose a mother gave birth twins a few years ago, so they grow up together and given that they have the same DNA they are similar but not equal. They have similar eyes, noses, lips, ears etc, but their mother can recognize them because even though they are similar they are not the same person. So maybe you want to be a friend of one of them, then you will choose the one you feel more comfortable to talk with. 

2. Cars. Suppose you like a specific type of brand car. Then there are many cars of this brand. You want to buy one of that car, so you decide to go to a concessionaire. One concessionaire has that car and its cost is $2000. Another one has the same car, it is a similar one, same color, same year, but at a price of $1900, so obviously you choose the less expensive.

Answer with explanation:

Uses of Similarity in Real Life:

1. When you will look,at the technology, personal Computers or Laptops produced by the same company,they all appear Similar.

2. When you will look at the bricks,which are used on the walls,on the roads, whether it is in the shape of a cube, Three dimensional Pentagon,or Hexagon,all of them are Similar.

→Similarity is also used for creating Electrical equipment ,Bulbs,Tube light,fans of different kinds.

So, There are Thousand of places on earth in which Concept of Similarity is used by Humans.Just Wrote few of them.

A cone shaped cup has a radius of 4 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inches for the cup? Use 3.14 for π.


25.12 in³

12.28 in³

100.48 in³

6.14 in³

Answers

Volume of a cone can be found finding the area of the base of the cone, times the height of the cone, divided by 3. Or, V = [tex] \frac{ \pi r^{2} h}{3} [/tex]

Substituting into the formula: V = [tex] \frac{ \pi 4^{2} 6}{3} [/tex] = 32(3.14) = 100.48

What is the product of 5the square root of 3. • 4the square root of 15.? Simplify if possible. 60the square root of 5. 20the square root of 5. 60the square root of 15. 20the square root of 15.

Answers

Correct Answer: [tex]60 \sqrt{5} [/tex]

We are to find:

[tex]5 \sqrt{3} *4 \sqrt{15} [/tex]

Multiplying and simplifying the radicals, we get:

[tex]20 \sqrt{45} \\ \\ =20 \sqrt{9*5} \\ \\ =20*3 \sqrt{5} \\ \\ =60 \sqrt{5} [/tex]
The answer to that is 60√5

Miss Monett gave 1 cup of red paint to each of her 20 students how many quarts of red paint does she give out

Answers

8 pints are in a quart. 
So, 2 cups are in a pint. 
So, 16 cups in a gallon 
4 cups for each quart. 
Your answer is 5 quarts. 
Hope that helped! :D 
~Izzy~ 

Answer: 5 Quarts

  Hope this helped :>

Question 2: A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches? A. 4π square inches B. 8π square inches C. 16π square inches D. 32π square inches Part B A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches? A. 4π square inches B. 12π square inches C. 36π square inches D. 40π square inches

really important please answer correctly

Answers

Answers:
_______________________________________________________
Part A)  The correct answer is:  [C]:  " 16 [tex] \pi [/tex] square inches " .
_______________________________________________________
Part B)  The correct answer is:  [C]:  " 36 [tex] \pi [/tex] square inches " .
_______________________________________________________
Note:

_______________________________________________________
Part A)
_______________________________________________________
The formula for the area, "A", of a circle:

  A = [tex] \pi * r^2 [/tex]  ; 

    in which:
           
             " A = area of the circle" ; 
             " r = radius of the circle" ; 

            Note:  radius, "r" =  d / 2 ;  in which: "d" is the diameter of the circle ; 
 
            Given:  " d = 8 in " ;   " r = (8 in) / 2 = 4 in " ;
_________________________________________________
     A = [tex] \pi [/tex] * (4 in)² = [tex] \pi [/tex] * 4² * (in)² ;

                                                      [tex] \pi [/tex] * (4*4) * (in²) ; 

                                                      = [tex] \pi [/tex] *  16 * in²
________________________________________________________
   →   which is:  Answer choice:  [C]:  " 16 [tex] \pi [/tex] square inches " .
________________________________________________________
Part B)
________________________________________________________
      We now have a circular frame with a thickness of "2 inches" 
surrounding the original circle.  This adds "4 inches" to the diameter of that of the original circle in "Part A" —
    {Note: "2 inches on one side of the circle" ; PLUS "2 inches on the other side of the circle" ; equals "4 inches".}.

The diameter, "d", of this "new circle" ;
    =  "8 inches (that of the previous circle)" , PLUS "4 inches" , equals "12 inches" . 

  →  d = 12 in. ; 

The radius , "r" :   

   →  r = d/2 = 12 in / 2 = 6 in. 

    → r = 6 in.

The area, "A" of a circle:
______________________________________________________
   A = [tex] \pi [/tex] * r²  ; 

      = [tex] \pi [/tex] * (6 in)²  ;
 
      = [tex] \pi [/tex] * (6²) * (in²) ;

      [tex] \pi [/tex] * (6*6) * (in²) ; 

      [tex] \pi [/tex] * (36) * (in²) ; 
_______________________________________________________
   which is:  Answer choice:  [C]:  " 36 [tex] \pi [/tex] square inches " .
_______________________________________________________

ILL GIVE BRAINLIST TO FIRST PERSON!!! Which of these is a primary economic activity? A) tourism B) farming C) healthcare D) construction

Answers

farming c because farming is where we get all our resources well mostly all

Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5

Answers

The angle required will be given by:
x=52/5π-5*2π=2/5π
the positive angle less than one revolution around the unit circle that os co-terminal with angle of 52/5π is 2/5π

A regular decagon is mapped onto itsslf everytime it is rotated by how many degrees

Answers

Answer:

36° is correct.

Step-by-step explanation:

The degree of rotational symmetry is equal to 360° divided by the number of sides of a regular polygon

360° ÷ 10 = 36°

Answer:

A regular decagon is mapped onto itself every time it is rotated by 36°

Step-by-step explanation:

A regular decagon means a polygon with 10 sides and all sides are equal.

Refer the given figure, if we rotate by 36° we will get same decagon.

So a regular decagon is mapped onto itself every time it is rotated by 36°

Which property is demonstrated below

Answers

[tex]Answer first\\ 5^3 \ is\ a\ power\\ 125^2\ is\ a\ power\\ (5^3)^2 \ is \ a\ power\ of \ power[/tex]

An 80 ft guy wire is attached to a pole. The angle of elevation from the wire to the top of the pole is 48. How tall is the pole?

Answers

height = 80 x sin(48)

height = 59.45 feet   Round answer as needed.

1. Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping. (a) What is the exact volume of the sink? Show your work. (3 points) (b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points) (c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work. (6 points)

Answers

Step 1
Find the volume of a sink
Volume sink=(4/6)*pi*r³ (half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³

(a) What is the exact volume of the sink? 
the answer part a) is (2000/3)*pi in³  (2093.33 in³)

(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it?

volume of a conical cup=pi*r²*h/3
diameter=8 in--------------> r=4 in
h=6 in
volume of a conical cup=pi*4²*6/3-----------> 32*pi in³

if one cup---------------------> 32*pi in³
  X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(32*pi)------------> 20.83----------> 21 cups

the answer part b) is 21 cups


(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it?

volume of a cylindrical cup=pi*r²*h
diameter=4 in--------------> r=2 in
h=6 in
volume of a cylindrical cup=pi*2²*6-----------> 24*pi in³

if one cup---------------------> 24*pi in³
  X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(24*pi)------------> 27.77----------> 28 cups

the answer part c) is 28 cups

Find the two numbers whose sum is 29 and whose difference is 15

Answers

22 and 7, 22-7 is 15, and 22+7 is 29

WHAT IS 2 400 000 written as a standard form?

Answers

24 x 10^5
Hope this helps

At the beginning of the spelling bee there were 60 participants. One-third of the participants were eliminated during the first round. One-fourth of the remaining participants were eliminate during the second round. One-sixth of the remaining participants were eliminated during the third round. How many participants were still cmpeting at the beginning of the fourth round?

Answers

Participants = 60
.
First round:
1/3 of 60 = 20
or
60 x 1/3
= 60/3
= 20
60 - 20 = 40
There are 20 participants that are eliminated on the first sound and 40 participants to move on to the second sound.
.
Participants = 40
Second round:
1/4 of 40 = 10
or
40 x 1/4
= 40/4
= 10
40 - 10 = 30
There are 10 participants that are eliminated on the second round and 30 participants that is moving on to the next round.
.
Participants = 30
Third round:
1/6 of 30 = 5
or
30 x 1/6
= 30/6
= 5
30 - 5 = 25
There are 5 participants that are eliminated on the third round and 25 participants to move on to the fourth round.
:)

By subtracting the eliminated participants in each round from the original number, it is determined that 25 participants were still competing at the beginning of the fourth round.

To find out how many participants were still competing at the beginning of the fourth round of the spelling bee, we need to perform some calculations based on the given percentages of participants eliminated in each round.

In the first round, one-third of the 60 participants were eliminated. This is 60 / 3 = 20 participants eliminated. So, 60 - 20 = 40 participants remained after the first round.In the second round, one-fourth of the remaining participants were eliminated. This is 40 / 4 = 10 participants eliminated. So, 40 - 10 = 30 participants remained after the second round.In the third round, one-sixth of the remaining participants were eliminated. This is 30 / 6 = 5 participants eliminated. So, 30 - 5 = 25 participants remained.

Therefore, 25 participants were still competing at the beginning of the fourth round.

write 4bc/16b in simplest form

Answers

[tex]\frac{4bc}{16b}\\\\\frac{4}{16}*\frac{b^{1}}{b^{1}}*\frac{c^{1}}{c^{0}}\\\\\frac{1}{4}*b^{1-1}*c^{1-0}\\\\\frac{1*b^{0}*c^{1}}{4}\\\\\frac{c}{4}[/tex]

SOLVE FOR X PLEASE :D

Answers

Hello,

[tex] \dfrac{10x-2}{8x} = \dfrac{5x+3}{7x} \\\\ x \neq 0\\\\ \dfrac{10x-2}{8} = \dfrac{5x+3}{7} \\\\ 70x-14=40x+24\\\\ 30x=38\\\\ x= \dfrac{19}{15} [/tex]

Is it possible to take a cross section of a tetrahedron and get an octagon? Why or why not?
A.) Yes, because an octagon has eight sides, which is twice the number of faces on a tetrahedron.
B.) Yes, because a tetrahedron is symmetric about its center.
C.) No, because the only cross section that can result from a tetrahedron is a triangle.
D.) No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.

Answer: D.) No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.

Answers

Answer: The correct answer is Choice D.

A tetrahedron is another name for a triangular prism. When you look at a tetrahedron it only has 4 different sides. If you take a cross section, the largest number of sides that you could have would be 4. There is no way to get an 8 sided octagon.

Option (D) No, it is not possible to take a cross section of a tetrahedron and get an octagon because the number of sides on the resulting shape cannot exceed the number of faces on the solid. A tetrahedron, having only four faces, cannot have a cross section with eight sides like an octagon.

The question asks if it is possible to take a cross section of a tetrahedron and get an octagon. A tetrahedron is composed of four triangular faces, six edges, and four vertices. It is the simplest of all the ordinary convex polyhedra and the only one with fewer than 5 faces. The provided options suggest various reasons why an octagon could or could not result from a cross section of a tetrahedron. The correct answer is D: No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.

A cross section that intersects a solid will typically not have more sides than the number of faces of the solid itself. Since a tetrahedron has only four faces, any cross-section made through it cannot naturally have more than four sides, thus it cannot result in an octagon, which has eight sides. The concept of symmetry or the fact that an octagon has twice as many sides as a tetrahedron does not relate to the possibility of such a cross section.

bracelet costs $8. Simone is also buying a necklace for her mother for $18. She believes that her total will be $98. Which expression could be used to estimate the reasonableness of Simone’s total? 8 × $8 + $10 8 × $8 + $18 10 × $8 + $20 10 × $10 + $10

Answers

she wrong is 26
 i hope i helps

For this case what we should do is write the expression step by step.
 "She believes that her total will be $ 98"
 To get to this we have:
 10 × $ 8 + $ 20
 Rewriting:
 10 × $ 8 + $ 20
 $ 80 + $ 20
 $ 100
 Rate approximately equal to $ 98 with an extra $ 2.
 Answer:
 An expression that could be used to estimate the reasonableness of Simone's total is:
 10 × $ 8 + $ 20

divide. and simplify 4/7÷8/3

Answers

(4/7)/(8/3)=(4/7)*(3/8)=3/14

find the geometric mean of the pair of numbers 36 and 4

Answers

Final answer:

The geometric mean of the pair of numbers 36 and 4 is calculated by getting the square root of the product of the two numbers, which gives us the geometric mean as 12.

Explanation:

To find the geometric mean of the pair of numbers 36 and 4, we use the formula for the geometric mean of two positive numbers, which is the square root of the product of the two numbers.

When we multiply 36 and 4 we get 144. So, the geometric mean of 36 and 4 is the square root of 144, which equals 12.

Therefore, the geometric mean of the numbers 36 and 4 is 12.

Learn more about Geometric Mean here:

https://brainly.com/question/29199001

#SPJ12

You have a camera with a 16 mp resolution. how many pixels are represented by that resolution? 16 16 million 16,000 16 billion

Answers

MP equals megapixels. 1 megapixel equals 1 million pixels, so 16 MP is equal to 16 million megapixels. The more megapixels an image has, the clearer the picture will be when enlarged.

ANSWER: 16 million

Hope this helps! :)

A sphere is dilated by a scale factor of 1.5 to create a new sphere. How does the volume of the new sphere compare with the volume of the original sphere?
A) The volume of the new sphere is 1.5 times the volume of the original sphere.
 
B) The volume of the new sphere is 3.0 times the volume of the original sphere. 
C) The volume of the new sphere is 1.52 times the volume of the original sphere. 
D) The volume of the new sphere is 1.53 times the volume of the original sphere.


Answers

Hmm, I am pretty sure the answer is A.

Answer: D


Step-by-step explanation:


7. Simplify the product using the distributive property.

(5h - 3)(3h + 7)

(A). 15h^2 - 44h + 21
(B). 15h^2 - 26h - 21
(C). 15h^2 + 44h + 21
(D). 15h^2 + 26h - 21

8. Simplify the product using a table. ***I will add a picture of the table***

(5h + 4)(3h + 6)

(A). 15h^2 + 42h + 24
(B). 15h^2 - 42h + 24
(C). 15h^2 + 18h - 24
(D). 15h^2 - 18h - 24

9. Simplify using a table. ***I will also add a picture of this table***

(-4m + 6)(3m + 2)

(A). -12m^2 + 10m + 12
(B). -12m^2 - 10m - 12
(C). -12m^2 + 26m + 12
(D). -12m^2 - 26m - 12

10. Simplify the product using FOIL.

(4x - 4)(3x - 4)

(A). 12x^2 - 28x + 16
(B). 12x^2 - 4x - 16
(C). 12x^2 + 4x - 16
(D). 12x^2 + 28x + 16

11. A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V= πr^2h for the volume of a cylinder.

(A). 80πx^3 + 144πx^2 + 84πx + 16π
(B). 20πx^2 + 26πx + 8π
(C). 80πx^3 + 144πx^2 + 84πx - 16π
(D). 400πx^4 + 1040πx^3 + 996πx^2 + 416πx + 64π

12. A sphere had a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S= 4πr^2 for surface area of a sphere.

(A). 16πx^2 + 80πx + 100π
(B). 16πx^2 + 40πx + 100π
(C). 100πx^2 + 80πx + 16π
(D). 100πx^2 + 100π

Answers

7.) (5h-3)(3h+7)
15h² + 35h - 9h - 21
15h² + 26h -21
D

8.) A (see picture)

9.) A (see picture)

10.) (4x-4)(3x-4)
12x² - 16x - 12x +16
12x² - 28x +16
A

11.) π(4x+2)²(5x+4)
π(16x² + 16x + 4)(5x+4)
π(80x³ + 64x² + 80x² + 64x +20x +16)
π(80x³ +144x² + 84x + 16)
80πx³ +144πx² + 84πx + 16π
A

12.) 4π(2x+5)²
4π(4x² + 20x + 25)
16πx² + 80πx +100π
A

maria is planning a triangular garden she wants to build a fence around the garden to keep out the rabbits. the length of one side of the garden is 29 feet. if the angles of this side are 65 and 44 find the length of the fence needed to enclose the garden

Answers

Approximately 85.323 feet of fence is needed to enclose the garden.

To find the length of the fence needed to enclose Maria's triangular garden, we can use the Law of Sines since we know one side length and its opposite angle.

The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant:

[tex]\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \][/tex]

Where:

- a, b, c are the side lengths of the triangle.

- A, B, C are the angles of the triangle.

Given that one side length is 29 feet and its opposite angle is 65°, let's denote the other two angles as B  and C . Since the sum of angles in a triangle is 180°, we can find angle C as 180° - 65° - 44° = 71°.

Now, we can use the Law of Sines to find the lengths of the other two sides:

[tex]\[ \frac{29}{\sin(65°)} = \frac{b}{\sin(44°)} \][/tex]

Solving for b:

[tex]\[ b = 29 \times \frac{\sin(44°)}{\sin(65°)} \][/tex]

b ≈ [tex]24.438 \text{ feet} \][/tex]

Similarly, we can find the length of side c  using the same formula:

[tex]\[ \frac{29}{\sin(65°)} = \frac{c}{\sin(71°)} \][/tex]

[tex]\[ c = 29 \times \frac{\sin(71°)}{\sin(65°)} \][/tex]

c ≈ [tex]31.885 \text{ feet} \][/tex]

Finally, to find the total length of the fence needed, we sum up the lengths of all three sides:

[tex]\[ \text{Total fence length} = 29 + 24.438 + 31.885 \][/tex]

[tex]\[ \text{Total fence length}[/tex] ≈ [tex]85.323 \text{ feet} \][/tex]

So, approximately 85.323 feet of fence is needed to enclose the garden.

Please help me I have 2 questions.

Answers

1) You know that the area (A) of a regular polygon can be computed from the apothem (h) and the perimeter (P) by
.. A = (1/2)*h*P
You also know that a regular pentagon's perimeter (P) is 5 times the length of one side (s).
.. 37.2 m^2 = (1/2)*(3.2 m)*(5s)
.. 37.2 m^2 = (8 m)*s
.. (37.2 m^2)/(8 m) = s = 4.65 m

The length of one side is 4.65 m.


2) There are several ways you can figure this, all giving the same result.
a) The side length will be (12 cm)*√2, and the area is the square of that:
.. A = ((12 cm)*√2)^2 = 144 cm^2 * 2 = 288 cm^2

b) The area is half the product of the diagonal lengths.
.. A = (1/2)*(2*12 cm)^2 = (1/2)*576 cm^2 = 288 cm^2

c) The area is 4 times the area of the right triangle with sides of 12 cm.
.. A = 4*(1/2)*(12 cm)^2 = 2*144 cm^2 = 288 cm^2

d) The area is 4 times the area of one triangle with central angle 90°.
.. A = 4*(1/2)*(12 cm)^2*sin(90°) = 2*144 cm^2*1 = 288 cm^2

The area of the square is 288 cm^2.

What is the value of x?

sin(x+22)°=cos(2x−7)°

Remember to show all of you work for credit!





Given cosx=1213 and sinx=513 .

What is ratio for ​ tan x ​ ?

leave answer as a fraction in simplest form

Remember to show all of you work for credit!

Answers

Q1: Given sin(x+22)° = cos(2x−7)°

Using the concept of Right triangles and Trigonometric ratios, we can use a formula given as follows :-

If, sin(A) = cos(B). Then we must have A + B = 90 degrees.

We have sin(x+22)° = cos(2x−7)°

Then it must be true that (x+22)° + (2x−7)° = 90 degrees.

(x + 22) + (2x - 7) = 90

3x + 15 = 90

3x + 15 - 15 = 90 - 15

3x = 75

[tex] \frac{3x}{3} =\frac{75}{3} \\\\x = 25 \;degrees [/tex]

Hence, x = 25 degrees is the final answer.


Q2: Given cos(x) = 1213 and sin(x) = 513.

It says to find ratio of tan(x).

Using the concepts of Trigonometric ratios, We can the formula that relates all three functions i.e. sin(x), cos(x), and tan(x).

tan(x) = [tex] \frac{sin(x)}{cos(x)} [/tex]

We can plug the given values in the formula.

[tex] tan(x) = \frac{513}{1213} [/tex] is the final answer.

(20 Pts) What is the value of h when the function is converted to vertex form? Note: Vertex form is p(x)=a(x−h)^2+k . p(x)=x^2−14x+29

Answers

a=1 and the x-coefficient is -14. The value of h is -(-14)/(2*1) = 7.

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?




112√ in.

211−−√ in.

11−−√ in.

1111−−√ in


What is the exact value of sin 45° ?

Enter your answer, as a simplified fraction, in the box.

$$


What is the area of a regular hexagon with a side length of 4 m?

Enter your answer in the box.

Round only your final answer to the nearest hundredth.







In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Enter your answer in the box.


cm

Answers

Part A)In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

we know that
cos 45°=√2/2
[he length of the hypotenuse]=11/cos 45-----------> 11/(√2/2)----> (11*2)/√2
=22/√2-------> 11√2 in

the answer Part A) is 11√2 in

Part B) What is the exact value of sin 45° ?

we know that
sin 45°=11/(11√2)-------> 1/√2---------> (1/√2)*(√2/√2)-----> √2/2
the answer part b) is √2/2

Part C)
What is the area of a regular hexagon with a side length of 4 m?

we know that

In case of a regular hexagon  each of the six triangles that are formed by connecting its center with all six vertices is an equilateral triangle with a side equaled to 4 m.
The area of this hexagon is six times greater than the area of such a triangle

In an equilateral triangle with a side d 
the altitude h can be calculate from the Pythagorean Theorem as
h²=d²−(d/2)²=(3/4)d²
Therefore, 
h=d√3/2

Area of such a triangle is
A=d*h/2------------> d²*√3/4
From this the area of the regular hexagon with a side d is
S=6*A----------> d²3√3/2
for d=4 m
S=4²3√3/2------> 24√3 m²------------> 41.57 m²

the answer Part C) is 41.57 m²

Part D) In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
[he length of the hypotenuse]=5/sin 30--------> 5/(1/2)---------> 10 cm

the answer part D) is 10 cm

Answer:

In a 45°-45°-90° triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

I took the test and this is the correct answer:

11√ 2 inches

Step-by-step explanation:

how do i graph and shade this linear inequality?

4x + 5y < 20
x - 2y <6

Answers

You change the equation into "graphable" equations
y<-4/5x+4
y>1/2x-3
A graphing calculator can show you. The basic idea is that you graph the line that you would have if it were an equality, then you shade above or below (or left or right) according to the x and y values that satisfy the inequality. The symbol used does not include the "or equal to" case, so the line is graphed as a dashed line.

Lindsey’s college will cost her a total of $6,000 a year for the next four years. She is also
foregoing making $26,000 a year at the local mall. However, she will be able to make
about $8,000 a year while going to school. What is her total investment in education?
$24,000
$26,000
$72,000
$96,000

Karam anticipates spending $8,400 a year for the next five years on his college education. He will also forgo making $12,000 a year during this time. How much will he invest in his education?

$42,000
$102,000
$60,000
$12,000

Answers

1. 24,000 bc 6000*4

2. 42000 bc 8400*5

Her total investment in education is $96,000, the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Total= $6,000

At local mall=$26,000

Now,

To find the total investment in education, we need to consider both the direct costs and the opportunity costs of going to college. The direct costs are the expenses that Lindsey has to pay for her education, such as tuition, fees, books, etc. The opportunity costs are the income that Lindsey could have earned if she did not go to college, such as working at the local mall.

The direct costs of going to college are $6,000 a year for four years, which is $24,000 in total.

The opportunity costs of going to college are $26,000 a year minus $8,000 a year for four years, which is $18,000 a year or $72,000 in total. This is because Lindsey could have earned $26,000 a year at the mall, but she is only earning $8,000 a year while going to school.

The total investment in education is the sum of the direct costs and the opportunity costs, which is

$24,000 + $72,000

= $96,000.

Therefore, by algebra the answer will be $96,000.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Other Questions
discuss how anatomy and embryology are used to support the theory of evolution With a quarter-turn flick of the wrist, a student sets the frisbee rotating at 570 rpm . what is the magnitude of the torque, assumed constant, that the student applies? Ewing Marion Kauffman built his successful pharmaceutical company around targeting a _____ the larger pharmaceutical companies avoided because of its distance from their officescompanycountrymarketproduct A lunar exploration vehicle was created by a research team. It weighs 3,000 kg on the earth. It needs an acceleration of 10 m/s2 on the moon. In order to have the same acceleration, what will be the net force acting on the vehicle on the earth? What is Mary's motivation for exploring the many rooms of Misselthwaite manorA. SHE WANTS TO GET AWAY FROM MARTHA B. SHE IS CURIOUS ABOUT HER NEW SURROUNDINGS C. SHE WANTS TO CAUSE TROUBLE D. SHE IS BORED BECAUSE ITS RAINING OUTSIDE For the reaction represented by the equation pb(no3)2 + 2ki pbi2 + 2kno3, how many moles of lead(ii) iodide are produced from 300. g of potassium iodide and an excess of pb(no3)2?a. 11.0 mol selected:b. 1.81 molc. 3.61 mold. 0.904 mol please can some one help with this question?Which line from "Totally like whatever,you know?"represents the poet's ability to apply proper use of syntax?A.Even when those sentences aren't like questions?you know?B.That we've just gotten to the point where it's just,like...whatever!C.Where are the limbs out on which we once walked?D.Have they been,like,chopped down with the rest of the rainforest? Woman's bane or wolf's bane is another term for which poison? Scenes of urban squalor, bars, and cluttered alleys would most likely be painted by When the heterozygous genotypes results in a phenotype where both alleles are fully and separately expressed Sandra can type 180 words in 3 minutes. At this rate, how many words can she type in 5 minutes? _____MInutes(FREE ANSWER> I WILL MARK BRAINLIEST AND RATE AND SAY THANKS) An otr asks a client with impaired balance to dust and polish a bookshelf in standing position without upper-extremity support. the otr notes no loss of balance during reaching and bending tasks. how would the otr appropriately grade the activity to provide the just-right challenge? ***WILL GIVE MEDAL TO WHOEVER HELPS***Question:Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If the bracelets are represented by x and the necklaces are represented by y, which of the following systems of equations can be used to calculate the number of bracelets and necklaces sold?Answer choices:x + y = 23, 3x + 2y = 55 x + y = 55, 3x + 2y = 23 x + y = 23, 2x + 3y = 55 x + y = 55, 2x + 3y = 23, which of the following must be true?check ALL that apply, Calculate the density of SO3 gas at STP. Show all work. In the seventeenth century after a period of relative autonomy, __________ returned to direct spanish rule. Please help asap!!! 16 points ): Which child is more likely to develop asthma? select one:a. a child who lives in a cityb. a child who lives on a farmc. a child who experienced a vaginal deliveryd. a child who is second-born in the family? How can you identify a nonsense poem? What should you look for? Your answer should be 2-3 sentences. Difference between video game laser and projectile