Mathematics High School

The legs of a right triangle measure 4 and 6 inches. The area of the triangle is
5 in.²
12 in.²
24 in.²

Answers

Answer 1
Area of a right triangle = .5 * leg1 * leg2
Area = .5* 24
Area = 12 square inches


Answer 2

Answer:

Area of triangle is 12 in.²

Step-by-step explanation:

we are given that:

The legs of a right triangle measure 4 and 6 inches.

(i.e. height and base of right angled triangle)

We have to find the area of this triangle.

area of triangle=[tex]\dfrac{1}{2}\times base\times height[/tex]

                        =[tex]\dfrac{1}{2}\times 4\times 6[/tex]

                       = 12 in.²

Hence, Area of triangle is 12 in.²

Related Questions

Give 4 equations that uses at least 2 different operations. (PEMDAS) The answer has to be
- 23
- 25
- 27
and
- 28
REMEMBER: 4 equations, one for each answer
Please help

Answers

(7*4)=x28
(5+5)+15=x25
(7*3)+2=x23
(9*3)=x27

What is the product of 7√​20 and 10√6​​ ?

Answers

[tex]\bf 7\sqrt{20}\cdot 10\sqrt{6}\implies (7)(10)\sqrt{(20)(6)}\implies 70\sqrt{120} \\\\\\ 70\sqrt{4\cdot 30}\implies 70\sqrt{2^2\cdot 30}\implies 140\sqrt{30}[/tex]

EXPERTS/ACE/TRUSTED HELPERS

Answers

Since the image has the same orientation as the original, it was not rotated or reflected. The only viable (and correct) choice is
.. D translation 4 units up.

_____
We really don't need to see your keyboard. It is appropriate to use a screen shot program or edit your picture, or both.

Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles. The top angle on the sails are marked congruent to each other. The smaller sail has a height of x and a base of 7 inches. The larger sail has a height of 12 inches and a base of 8 inches.

Answers

The answer should be 10.5 

The smaller sail has a height of 10.5 inches.

Given to usTwo sailboats with sails that are right triangles.The top angle on the sails is marked congruent to each other.The smaller sail has a height of x and a base of 7 inches.The larger sail has a height of 12 inches and a base of 8 inches.

Similarity of triangles

We know that for the two sails of the sailboat,

the right angle will be equal,

the angles at the top of the sail are congruent, {given}

therefore, the third angle will be equal for both the triangles.

thus, both the triangles will be similar to each other.

For similar triangles,

The sides will be in ratio.

[tex]\dfrac{12}{8}=\dfrac{x}{7}[/tex]

[tex]\dfrac{12\times 7}{8}=x\\x = 10.5[/tex]

Hence, the smaller sail has a height of 10.5 inches.

Learn more about Similar triangles:

https://brainly.com/question/25882965

The rain caused the river to rise a total of 6 and 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain? (must be a whole number)
(there is a ratio) (2/3 divided by 1) and (6 and 2/3 divided by what?)

Answers

the answer is 10

I hope this helps

16 = X + 32
............................

Answers

Hey there!

[tex]\boxed{ 16-(x+32)=0 } \\ \\ ( -16 - x = -1 *( (x + 16) \\ \\ \boxed{\boxed{-x-16 = 0 }} \\ \\ add \ 16 \ from \ both \ sides \\ \\ (-1) : x = (-16).[/tex]

I hope this helps you! :)

A study found that 3939​% of the assisted reproductive technology​ (art) cycles resulted in pregnancies. ​twenty-fourfour percent of the art pregnancies resulted in multiple births. ​(a) find the probability that a random selected art cycle resulted in a pregnancy and produced a multiple birth. ​(b) find the probability that a randomly selected art cycle that resulted in a pregnancy did not produce a multiple birth. ​(c) would it be unusual for a randomly selected art cycle to result in a pregnancy and produce a multiple​ birth? explain

Answers

(a)    Let A be an ART cycle pregnancy and;B be the event that an ART cycle resulted in a multiple birth.
P(A and B) = P(A).P(B│A)
Look for P(A) and P(B│A).
P(A) = 39/100 = 0.39
P(B│A) =24/100 = 0.24
The probability that a randomly selected ART cycle resulted in a pregnancy and produced a multiple birth is P(A and B) is:
P(A and B) = P(A). P(B│A)
= 0.39 * 0.24
= 0.0936
 
(b)   Let B ’ - the complement of B. This means that this is the probability that a randomly selected ART cycle that resulted in a pregnancy did not make a multiple birth is P(B’│A).
Determine P(B’│A) using the formula the complement of an event, P(E’) = 1 – P(E), where E is an event and E’ is its complement. Recall that P(B│A) = 0.24.
P(B’│A) = 1 – P(B│A)
= 1 – 0.24
= 0.76
 (c)   Knowing that P(A and B) = 0.0936. An event that happens with a probability of 0.05 or less is normally considered unusual. Use this information to know whether it would be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple birth. 
The correct answers are:

0.0936;
0.2964; and
no.

Explanation:

39% of ART cycles result in pregnancy. Of those, 24% result in multiple births. To find the probability that a random ART cycle results in a pregnancy with multiple births, we want to find 24% of 39%; this means we multiply these:
0.24(0.39) = 0.0936.

To find the probability that it will not result in multiple births, we subtract from 100%; since 24% of the pregnancies are multiple births, 100-24 = 76% will not be multiple births.

Now we find 76% of 39%; we multiply again: 0.76(0.39) = 0.2964.

In statistics, a result is considered unusual if the probability is 0.05 or less. Our probability was 0.0936, which is greater than 0.05; thus it is not unusual.

Find the area of the parallelogram with vertices a(1,2,3), b(1,3,6), c(3,8,6), and d(3,7,3,)

Answers

The answer is: A=√265.

Choose the graph of y > x2 − 9.

Answers

The first graph is the answer. 

Answer with explanation:

The given inequality which represents parabola:

     y> x²-9

Checking whether, (0,0) origin satisfies this inequality or not

0 > 0²-9

0> -9

Inequality is true.

So, origin will come under the shaded region.

Points on the boundary are not included.

HELP PLEASE WILL GIVE BRAINLIEST ANSWER 5 QUESTIONS 48 POINTS!

Answers

1). 8/15
2). 4/12
3). equally likely
4). A
5). D

1). 8/15

2). 1/3

3). B. equally likely

4). A

5). D

In the standard equation for a circle centered at any point, a change in the value of the number that is part of the x-term results in a vertical movement ? True or false?

Answers

It is false. The x is usually horizontal.

Answer:

It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

Step-by-step explanation:

Standard form of circle is given by,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, ( h, k ) = Coordinates of circle and r is radius of circle.

here h is part of x- term.

So, if change value of h to p keeping k and r constant. The coordinate of center shifted in horizontal line whose equation is y = k.

Therefor, It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

what is the surface area?

Answers

check the picture below.

so as you can see, the figure is really just 3 rectangles and 2 triangles.

the rectangles are 5x7, another 5x7, and the one at the bottom is a 6x7.

the triangles have a base of 6, a height of 4.

so, just the area of each, add them up, and that's the area of the figure.

[tex]\bf \stackrel{left~and~right}{(5\cdot 7)}+\stackrel{bottom}{(6\cdot 7)}+\stackrel{front~and~back}{2\left[\frac{1}{2}(4)(6) \right]}[/tex]

Write $875.48 in word form

Answers

$875.48
=
Eight-hundred and seventy-five dollars and forty-eight cents
eight hundred seventy five with fourty eight cents

Which comparison is correct for the values of f(x) and g(x) when x=−1 ?



Function A: f(x)= −x^2+1

Function B:



f(−1)>g(−1)

f(−1)=g(−1)

f(−1)

Answers

Answer:

[tex]f(-1)>g(-1)[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=-x^2+1[/tex]

We can plug x=-1 and find f(x)

we get

[tex]f(-1)=-(-1)^2+1[/tex]

[tex]f(-1)=-1+1[/tex]

[tex]f(-1)=0[/tex]

now, we can find g(-1)

we can look at the table and find g(-1)

so, we get

[tex]g(-1)=-4[/tex]

we know that

-4 is less than 0

so,

[tex]g(-1)<f(-1)[/tex]

or we get

[tex]f(-1)>g(-1)[/tex]

Lucinda wants to build a square sandbox but has no way of measuring angles. Explain how she can make sure that the samdbox is meansuring only length..

A) Arrange four equal-length sides so the diagonals bisect each other.

B) Arrange four-length sides so the diagonalsare equal in length

C) Make each diagonal the same length as four-length sides

D) This is not possible, Luninda has to be able to measure a right angle.

Answers

Option B. Arrange four-length sides so the diagonals are equal in length. Since a square is a rectangle with four equal sides the diagonals should bisect each other at each length and at 90 degrees to each other. This is really important. If the diagonals are equal in length and bisect each other at equal distance then the sandbox is measuring length and has equal angles which is a square by definition

What is the product of 2x-1 and 2x+6? Write your answer in standard form.
Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.

Answers

[tex](2x-1)(2x+6) = 4x^2-2x+12x-6 = 4x^2+10x-6. [/tex] It does not equal [tex](x-2)(2x+6) because when the constant is expanded, it isn't the same as the original quadratic.  

HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPLAIN.

Answers

As you know, 4.78 is less than 5, so
.. yes, x=4.78 is a solution to x < 5

As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.

1.) Keeping in mind that a function's rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?

Answers

"Slope" is the "function's rate of change", so it indicates "how fast the function is increasing or decreasing."
slope slope shows the speed of increase or decrease

Your Turn: Using the figure, a
c
= d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answers

We are given:
[tex]\frac{a}{c} = \frac{d}{a}  [/tex]

First step is to get rid of fractions. We start by multiplying both sides by a.
[tex]\frac{a}{c} = \frac{d}{a} /*a \\ [/tex]

Now we cancel a on right side and we multiply both sides by c.
[tex]\frac{ a^{2}}{c} = \frac{da}{a} /*c \\ \frac{ a^{2}c}{c} = dc[/tex]

After canceling c on the right side we are left with:
[tex]a^{2} = dc or a^{2} = cd[/tex]

PLEASE SOMEONE HELP ME ON THIS!!

ILL GIVE BRAINLIEST TO YOU IF YOUR ANSWER IS CORRECT

Answers

only the first one is right.
I think it's the first 2 choices

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes

Answers

Hello!
----------
A proportion that can be used to represent the picture sizes is p(poster printed) times 4 equals e(enlarged poster), or p*4=e.
----------
Have a great day!

Answer with Step-by-step explanation:

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall.

The enlarged poster is 20 inches wide and 30 inches tall.

20=4×5

i.e. width of enlarged picture=5×width of actual picture

30=6×5

i.e. height of enlarged picture=5×height of actual picture

Hence, proportion that can be used to represent the picture sizes is:

picture:enlarged picture = 1:5

What are the solutions to the equation? n2−8n+16=25 Enter your answers in the boxes.
n1=
n2=

Answers

n^2 - 8n - 9 = 0

(n - 9)(n + 1) = 0

n1= 9

n2= -1
not entirely sure what you are looking for but the answer to n2-8n+16=25 is n=9, -1

Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.

Answers

Strictly speaking, it is not a reflection, If it were, then the arrow in one of the quadrants would be turned around. The arrowhead of one would be facing down, while the arrowhead of the other would be facing up.
Nora says that the shapes shown below are translations of each other. Nora is correct because the image has just moved to a different set of (x, y)s, while its shape maintained the same directionality of its positioning (the parts of the arrow).

Judy is incorrect in calling it a glide-reflection; such requires a movement (translation), followed by a flip (reflection) across either the x- or y-axis.

Considering that the point and base of the "arrow" image has not changed or flipped in the movement, no reflection had occurred.

A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.
If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.

Answers

Let
x--------------> is the width of the shipping container
h-------------> is the height of the shipping container
l--------------> is the length  of the shipping container
V------------> volume rectangular prism containers

we know that
V=x*h*l
l=5*x
and 
V=5x³ + 7.5x²
then
clearing the variable h

h=V/[x*l]---------> h=[5x³ + 7.5x²]/[x*(5*x)]--------> h=[5x³ + 7.5x²]/[5*x²)]
h=(x²/x²)*[5x + 7.5]/[5]--------> h=(5x/5)+(7.5/5)------> h=x+1.5

the answer is h=(x+1.5)

Answer:

h = x + 1.5

Step-by-step explanation:

Start with the width. The width = x

The length is 5 times the width = 5*x or 5x

The volume of this is

Two things V = 5x^3 + 7.5x^2V = l * w * h     Substitute the length and width into the raw formula

5x^3 + 7.5x^2 = 5x * x * h

5x^3 + 7.5x^2 = 5x^2 * h                          Divide both sides by 5x^2

5x^3 / 5x^2    +    7.5x^2 / 5x^2   =   5x^2*h/ 5x^2

x + 1.5  = h <<<< Answer

13. The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.

Answers

27 divided by 3.14 then that divided by 2, then the square root of that answer, is that made any sense

helppppppppppppppppppppppppp

Answers

The answer is C , 10/m5
(5m ^ -2) * (2m ^ -3)
 Remember that by power properties we have:
 (5 (1 / m ^ 2)) * (2 (1 / m ^ 3))
 Rewriting the equation:
 ((5) * (2)) * (1 / m ^ 2) * (1 / m ^ 3)
 Then, again for power properties:
 10 / m ^ 5
 answer:
 10 / m ^ 5
 option 3

Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?
A)4
B)5
C)16
D)18

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} x=6\\ y=8 \end{cases}\implies 8=\cfrac{k}{6}\implies 48=k \\\\\\ therefore\qquad \boxed{y=\cfrac{48}{x}} \\\\\\ \textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}[/tex]

The value of y when x=3 is 16.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

we have x=6 and y= 8.

If y is inversely related to x

y α 1/x

y= k/x

where is constant of proportionality

k = yx

k = 8(6)

k =48

So, y= k/x

y = 48/ 3

y= 16

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ1

According to these three facts, which statements are true?

Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.


Select each correct answer.


The radius of circle V is 16.


The center of circle V is (−5, 0).

Circle V and circle W are similar.

Circle V and circle W have the same center.

Answers

Answer: The radius of circle V is 16. Circle V and circle W are similar.

First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.

Second, all circles are similar because they are all the same shape, just different sizes.

Answer:

I am in K12 the answer is below

The radius of circle V is 16.

Circle V and circle W are similar.

Step-by-step explanation:

What is the minimum value of the parabola y= x^2+5x

Answers

Final answer:

The minimum value of the parabola y = x^2 + 5x is -25/4.

Explanation:

The minimum value of the parabola y = x^2 + 5x can be found by completing the square.

Rewrite the equation as y = (x^2 + 5x + 25/4) - 25/4, which is equivalent to y = (x + 5/2)^2 - 25/4.

Since the square of a real number is always non-negative, the minimum value of the parabola is -25/4.

Please help. 15 points. Thank you.

Answers

(image size) = (scale factor)*(actual size)

1. 6 cm = 5*(actual size)
.. 6/5 cm = actual size

2. 1.8 in = (scale factor)*4.5 in
.. (1.8 in)/(4.5 in) = scale factor
.. 2/5 = scale factor
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