Answers
Related Questions
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
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
write 4bc/16b in simplest form
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Find the two numbers whose sum is 29 and whose difference is 15
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SOLVE FOR X PLEASE :D
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[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]
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
Answer: D
Step-by-step explanation:
Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5
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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
Which property is demonstrated below
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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
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
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°
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
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
Express 18.48 ( 48 bar) in the form of p/q where p and q are integers and q is not equal to 0.
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100x=1848.48. (1)
x=18.48. (2)
subtract 2 from 1
99x=1830.00
x=1830/99
We have to express [tex] 18.\bar{48} [/tex] in the form of [tex] \frac{p}{q} [/tex] where p and q are integers and q is not equal to zero.
Let x = [tex] 18.\bar{48} [/tex]
Multiplying the given equation by 100, we get
[tex] 100x = 1848.48484848... [/tex]
[tex] 100x = 1830+ 18.48484848... [/tex]
[tex] 100x = 1830+ 18.\bar{48} [/tex]
[tex] 100x = 1830+ x [/tex]
[tex] 99x=1830 [/tex]
[tex] x=\frac{1830}{99} [/tex]
Therefore, [tex] 18.\bar{48} [/tex] is represented as [tex] x=\frac{1830}{99} [/tex] in the form of [tex] \frac{p}{q} [/tex]
What is the value of z in the equation 11 + z = 6?
66
5
−5
1
Answers
Answer:
z = -5
Step-by-step explanation:
To find the value of z in the equation 11 + z = 6
we will simply subtract 11 from both-side of the equation. That is;
11 + z = 6
Subtract 11 from both-side of the equation
11 - 11 + z = 6 - 11
(On the left-hand side of the equation 11 will be subtracted from 11 which gives zero, thereby leaving us with just z while on the right-hand side of the equation 11 will be subtracted from 6 which will give negative 5)
z = -5
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.
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?
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height = 59.45 feet Round answer as needed.
Miss Monett gave 1 cup of red paint to each of her 20 students how many quarts of red paint does she give out
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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 :>
divide. and simplify 4/7÷8/3
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Describe one way that concepts about similarity could be used in real life
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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.
The solution to the equation x + 4.5 = 9.2 is x = 4.7.
True or false
Solve the equation. b + 2.9 = 8.7
b = 3
b = -5.8
b = 11.6
b = 5.8
Solve the equation. 2.5 + a = 8.7
a = 6.2
a = .2
a = -6.2
a = 3.48
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The First One Is True Then The Next One Is A.B=3 And The Last One Is D.A=3.48
Hope It Helps And PLEASE MARK ME THE BRAINLYEST
Please help me I have 2 questions.
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.. 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 2 400 000 written as a standard form?
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Hope this helps
Choose the graph of 3x + y = –2.
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[tex] \left[\begin{array}{ccc}\boxed{\boxed{Slope: \ -3 ; \ Y-intersect: \ -2} }\end{array}\right] [/tex]
Your correct answer would be the second picture, this fit in with what we considered with the slope and all.
I hope this helps you!
You have a camera with a 16 mp resolution. how many pixels are represented by that resolution? 16 16 million 16,000 16 billion
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ANSWER: 16 million
Hope this helps! :)
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.
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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]
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.
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
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.
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
Substituting into the formula: V = [tex] \frac{ \pi 4^{2} 6}{3} [/tex] = 32(3.14) = 100.48
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.
m²
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
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
y<-4/5x+4
y>1/2x-3
ILL GIVE BRAINLIST TO FIRST PERSON!!! Which of these is a primary economic activity? A) tourism B) farming C) healthcare D) construction
Answers
What law does static electricity illustrate?
A. Ohm's law
B. Law of Conservation of Motion
C. Law of Conservation of Energy
D. Law of Conservation of Charge
Would this be D?
I know its not math...>:P
Answers
Static electricity illustrates or mostly related to the Law of Conservation of Charge. This law states that the charge of matter is constant and it will only change if there is the entrance of new charge or there is a removal of charge. This is the same with static electricity since charge of static electricity is constant.