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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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bazaltina [42]
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4 would then have to be 38 since the three angles would have to measure up to 180.
And the 1 would have to be 36 with the same reasoning as before.
Disclamier (I might have done some math wrong since I did it in my head.)
4 0
3 years ago
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Za and Zb are complementary angles. Za measures 64º.<br> What is the measure of Zb?<br> O
vova2212 [387]

Answer: The measure of <b is 26 degrees.

Step-by-step explanation:  

Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.

To go back on your question, if  <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.

(P.S. Sorry if I cluttered up the ask portion of your post. I haven't used this platform in like 2 years, so everything seems so foreign to me.)

5 0
2 years ago
Suppose an identical ladder was put against a building that was 18 feet high and the ladder reached the top of the building. How
nikdorinn [45]

The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.

<h3>What is the Pythagorean theorem?</h3>

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.

By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.

H² = 20² - 10²

H²= 400 - 300

H² = 300

H = √300

H = 17.32 ft.

Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1

7 0
2 years ago
How do you do the math for this?
makvit [3.9K]
For the answer to the question above asking, how much gas will you have to buy i<span>f you drive 50 miles each week and your car gets 25 miles to the gallon with gas costing $4.00 per gallon?
</span>The car will use 2 gallons of gas per week at $4 per gallon so you will have to buy $8 per week.
i hope my answer helped you.
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3 years ago
Janes jogging speed is 5 kilometers per hour. What is her speed in meters per second?
bagirrra123 [75]

Answer:

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Step-by-step explanation:

1 kph = 0.27777777777778 mps, so just multiply that by 5.

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