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Musya8 [376]
3 years ago
14

A square pyramid has a lateral area of 107.25 square centimeters and a slant height of 8.25 centimeters. Find the length of each

side of its base.
Mathematics
1 answer:
Elodia [21]3 years ago
6 0
To find the area of the square base, you will use the information given about the area of the lateral side to find the missing base length.

First, divide the total lateral area by 4 because there are 4 congruent lateral faces. 

107.25/4 = 26.8125

Use this in the formula for area of a triangle.

A = 1/2 x b x h
26.8125 = 1/2 x b x 8.25
26.8125 = 4.125b
b = 6.5 cm
The length of the base edge is 6.5 centimeters.
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The diagram shows a rhombus inside a regular hexagon work out the angle x
kvv77 [185]

Answer:

<u>x = 60°</u>

Step-by-step explanation:

The rest of the question is the attached figure.

And it is required to find the angle x.

As shown, a rhombus inside a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

The rhombus have 2 obtuse angles and 2 acute angles.

one of the obtuse angles of the rhombus is the same angle of the regular hexagon.

So, the measure of each acute angle of the rhombus = 180 - 120 = 60°

So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.

So,

60 + x = 120

x = 120 - 60 = 60°

<u>So, the measure of the angle x = 60°</u>

6 0
3 years ago
Lily is buying candy for party favors. She needs 1.5 pounds of chocolates, 0.75 pounds of mints, and 15 lollipops. What is the t
swat32

Answer:

<h2>The answer is B. $8.82</h2>

Step-by-step explanation:

given data

mints $0.96 per pound

chocolates $4.70 per pound

lollipops $0.07 each

cost of each items based on the amount item

mints $0.96*0.75= 0.72

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total cost= 0.72+7.05+1.05

total cost=$8.82

8 0
3 years ago
Please solve B, C, D, E, and F and I will give Brainliest!
kykrilka [37]

Answer:

a. 125

b. 25/64

c. 0.25

d. 343

e. 49/4

f. 0.81

Step-by-step explanation:

multiply by the same number by the amount of times the power tells you

b. 5*5 = 25         8*8= 64

c. 5*5 = 25         0.5*0.5 = 0.25

d. 7*7*7 = 343

e. 7*7 = 49         2*2= 4

f. 9*9 = 81        0.9*0.9= 0.81

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2 years ago
Helppppp<br> please? <br> on a timer so need it ASAP
Irina18 [472]

Answer:

I think its 2!

Step-by-step explanation:

5 0
3 years ago
Rachel just purchased a homeowners insurance policy for her new home that costs $0.43 per $100. Her home is worth $387,500. What
natita [175]

Answer:

The answer is A.

Do you need an explanation?

387,500 /100 = 3,875

3,875 * 0.43 = 1,666.25

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3 years ago
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