1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
4 years ago
9

The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the

prism.
Mathematics
2 answers:
Art [367]4 years ago
6 0

Answer:The lateral area is 364\ cm^{2}

Step-by-step explanation:

we know that

The lateral area of the right prism is equal to

LA=Ph

where

P is the perimeter of the base

H is the height of the prism

Find the perimeter of the base P

P=4(7)=28\ cm ----> the rhombus has  four equal sides

h=13\ cm

substitute

LA=28(13)=364\ cm^{2}

Verizon [17]4 years ago
4 0

Answer:

AL = 364 cm^2

Step-by-step explanation:

You might be interested in
A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? Wh
kicyunya [14]
P = 2( l + w)
Length: 2y
Width: y - 4
P= 22 inches
2(2y) + 2(y - 4) = 22
4y + 2y - 8 = 22
4y + 2y = 6y and add (-8) on both sides of the equation to equal: 6y = 30
Divide 6 from both sides of the equation and you get: y = 5
Check:
4(5) + 2(5) - 8 = 22
20 + 10 - 8 = 22
30 - 8 = 22 ✅
7 0
3 years ago
Is 540171 divisible by 9?
Iteru [2.4K]

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

4 0
3 years ago
Read 2 more answers
What causes the need to use imaginary numbers
Arturiano [62]
Imaginary numbers are used when a number inside of a square root is negative.
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B111%7D%5C%3A%5Ctimes%20%5Csqrt%7B111" id="TexFormula1" title="\sqrt{111}\:\times \sq
Natali5045456 [20]

Answer:

742.5625

Step-by-step explanation:

Square root of 111 is 27.75 so mulitply both and get 742.5625

8 0
3 years ago
Read 2 more answers
Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )
Aleksandr-060686 [28]

The equation of the circle is (x+3)^{2}+(y-3)^{2}=37

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

<u>Center:</u>

The center of the circle can be determined using the midpoint formula,

Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

Center=(\frac{-4-2}{2},\frac{9-3}{2})

Center=(\frac{-6}{2},\frac{6}{2})

Center=(-3,3)

Thus, the center of the circle is (-3,3)

<u>Radius:</u>

The radius of the circle can be determined using the distance formula,

r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Substituting the center (-3,3) and the endpoint (-4,9), we get,

r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}

r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}

r=\sqrt{1+36}

r=\sqrt{37}

Thus, the radius of the circle is \sqrt{37}

<u>Equation of the circle:</u>

The standard form of the equation of the circle is given by

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a,b) is the center and r is the radius.

Substituting the values, we have,

(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}

(x+3)^{2}+(y-3)^{2}=37

Thus, the equation of the circle is (x+3)^{2}+(y-3)^{2}=37

7 0
3 years ago
Other questions:
  • Pls answer question 8
    5·2 answers
  • Convert 32 slash 4 to a mixed number
    6·1 answer
  • What’s the answer to six plus negative 3
    6·1 answer
  • Need help ASAP!! I'll give brainliest to the correct answer!!!
    5·1 answer
  • A line parallel to -6x + 2y = 8 would have a slope of _____.
    13·1 answer
  • A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. Ab
    13·1 answer
  • Find the slope of the line passing through the points (-6,9) and (-6, -7).
    11·1 answer
  • In order to join a movie rental service, you pay a one time fee of $60. Every month costs only $5.
    12·1 answer
  • What is the equation of the line that passes through the point (-5, 6) and has<br> a<br> slope of o?
    13·2 answers
  • Find x if the ekvation is <br> x-3x+7x/2-1=9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!