The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches. Find the length of each side of the base.
A) 15 in.
B) 14 in.
C) 7.5 in.
D) 3 in

Answers

Answer 1
I think it’s a if it’s not sorry :)
Answer 2

The length of each side of the base is 3 inches. Thus, the correct option is D.

What is the pyramid?

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

The lateral area of a regular pentagonal pyramid is 75 square inches and the slant height is 10 inches.

The length of each side of the base is calculated as,

75 = 5 x 1/2 x a x 10

75 = 25a

a = 3 inches

Thus, the correct option is D.

More about the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2


Related Questions

Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(

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Answer:

28 of the student do not snowboard

Step-by-step explanation:

Work out the size of the angle X.

Give your answer correct to 3 significant figures.

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Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

GIVING BRAINLIST! $ CHOSE ANY!

Answers

Answer:

36in for the 1st one

Step-by-step explanation:

Answer:

36 in- mild

Hope this helps!!

The number of pies available for sale at the Pie in the Sky Bakery varies over the course of the day, and given by P(t)=30-2t^2+16t, where t is the number of hours since the store opens in the morning. What is the average rate at which this number changes during the first t hours that the store is open

Answers

Answer:

30-2t^2+16t/t

Step-by-step explanation:

Enter an expression equivalent to (2x^2- 4x + 5) + (x^2+ 3x – 7) using the fewest possible number of terms.

Answers

answer:
5x - 2
step-by-step explanation:
parentheses
(2x^2 - 4x + 5) + (x^2 + 3x - 7)
4x - 4x + 5 + 2x + 3x - 7
add like terms
5x - 2

will give brainliest. no links please

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hi my name is daniell with two ls my mom calls me fat boy and i hate it

What is the volume of the rectangular prism?
5 cm
6 cm
5 cm

Answers

Answer:

5×5×6 = 150 centimeters3

Step-by-step explanation:

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is

Answers

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

What is the area of the figure below?

Answers

1/2 x b x h = 36 , like if u find that please :) .

Manny walked around basketball court. The courtis 27m long and 17 m wide. What is perimeter of court

Answers

Answer:

The perimeter of the court is 88 m

Step-by-step explanation:

To find the perimeter:  (27 x 2)+(17 x 2)     length*2 + width*2

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solve for x and solve for y

Answers

Answer:

gvaaliyar steshan steshan

both are 90 degrees. if you need more help message me.

pls help me tysmmm~


!!

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Answer:

It is 6,4 or 4,6

Step-by-step explanation:

Kaden will toss two dice. What is the probability of one die landing on a number less
than 3, and the other landing on a number greater
than 5?

A.1/6
B.1/12
C.1/9
D.1/18

Answers

Answer: b

Step-by-step explanation:

Calculate the exact value of

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Answer:

Calculate the exact value of what? :)

Explanation:

find the volume of the shape​

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Step-by-step explanation:

[tex]\small\mathfrak\red{here \: is \: your \: solution...} \\ \\ \small\mathcal\purple{volume \: of \: hemisphere \: = (2 \div 3)\pi \: r ^{3 \: } .} \\ \\ \small\mathfrak\purple{radius \: of \: hemisphere \: = 6 \: cm.} \\ \\ \small\mathfrak\purple{volume \: of \: hemisphere \: = (2 \div 3)(22 \div7 ) \times 6 {}^{3} .} \\ \\ \small\mathfrak\purple{volume \: = 452.16 \: cm {}^{3} .} \\ \\ \huge\mathfrak\pink{hope \: it \: helps.}[/tex]

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of <1?

Answers

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

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Answers

Answer:

C)

Step-by-step explanation:

in order to understand which triangle would lie on the given line we should figure out the slope of the given line first

remember that,

[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]

from the graph let's take two points where the line passes i.e (0,0) and (4,6)

substitute:

[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]

simplify substraction:

[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]

reduce fraction:

[tex] \displaystyle m = \frac{3}{ 2} [/tex]

now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle

[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]

reduce fraction:

[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]

since the tan ratio of the third triangle equal to the slope of the line

hence, our answer is c

which equation represents a line that has a slope of
po y
and a y-intercept at (0, 6)?

Answers

Answer: 0 is y intercept and 6 is x intercept.

Step-by-step explanation:

The following two polynomials are added: (5x 3 −3x 2 +7x)+(4x 3 + ? +7x)=9x 3 −2x 2 +14x
Find the value of the question mark.

Answers

Answer:

Step-by-step explanation:

-2x²- (-3x²) = x²

_______

What is the angle and the answer pls help this is a quiz grade

Answers

Answer:

27°

Step-by-step explanation:

The two lines are parallel, causing them to be equal

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Simplify the answer if possible

Answers

Answer:

A. 23/30

Step-by-step explanation:

2/3+1/10

Find the LCM (Least Common Multiple):

20/30+3/30 = 23/30

Answer:

A

Step-by-step explanation:

you put 2/3 = 20/30 because you add a 0 2 * 10 is 20 and so on. same for 1/10 multiply nand d by 3= 3/30 so 20/30+3/30= 23/30

What are the first five terms of the sequence defined by the given function?

f(n) = 2n − 8

A. 2, 8, 14, 20, 26

B. -6, -4, -2, 0, 2

C. 2, -4, -10, -16, -22

D. -6, -8, -10, -12, -14

Answers

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

Pls help I need to pass

Answers

Answer:

Make a graph similar to this picture:

Answer:

make a graph one side being for the -3,-2,-1 and the other for the -2<x<-1?

Step-by-step explanation:

Dawson is covering a large cylinder with brown paper. He'll need to find the volume of the cylinder in order to determine how much paper he needs.

True
False

Answers

It is to true!!!!!!!!!!!!!!!!!!!!!!!!

x+5 I'll give brainiest

Answers

i think the answer is 5x

Answer:

X + 5 =  X + 5

Step-by-step explanation:

The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.

PLEASE HELP ME!! WILL GIVE BRAINLIEST! WORTH 10 POINTS!
The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 40?

Answers

60% sorry I have to type a lil more

What is the equation of the vertical line through the point (4, 0)?


x = 0

y = 4

x = 4

y = 0

Answers

answer:
x = 4
y = 0

explanation:
(4, 0)
(x, y)

Answer:

x = 4

Step-by-step explanation:

I took the test and it was right :)

What’s the correct answer
A.1
B.2
C.3
D.4
E.5

Answers

Please like it if you did find it good :) !

HELPPP ME PLEASE I REALLY NEED HELP

Answers

Answer:   choice F) 12 & 1/2 square yards.

=====================================================

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

3 & 1/3 = 10/3

--------------------

In short we have

3 & 3/4 = 15/43 & 1/3 = 10/3

Doing these conversions is useful to be able to multiply the values like so:

(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2

Now use your calculator to find that 25/2 = 12.5

We can then say....

12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2

The answer is choice F) 12 & 1/2 square yards.

help please this is due by tonight

Answers

The answer is 2.4 I checked it

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

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