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Alinara [238K]
3 years ago
6

A rectangular prism has a height of 4 meters, a surface area of 96 square meters, and a base area of 8 square meters. Calculate

the perimeter of the base of the prism.
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0
The perimeter is 56m

H = 4m
Base area =  96m^2

96/4 = 24
Therefore the length is 24m

4m + 24 = 28m
multiplied by 2 is equal to 56m.
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There are two consecutive positive even integers such that the square of the first is 364 more than five times the second. What
xxMikexx [17]

Answer:

Step-by-step explanation:

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second. What are the two numbers?

Two consecutive year positive integers are represented by

x and x + 1

First integer = x

Second integer = y

There are two consecutive positive even integers such that the square of the first is 364 more than five times a second.

This is represented mathematically as:

x² = 364 + 5(x + 1)

x² = 364 + 5x + 5

x² -5x -5 - 364

x² - 5x - 369

6 0
3 years ago
the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

7 0
3 years ago
Solve for L: A = L ⋅ W ⋅ H (1 point)
butalik [34]

Answer:

L= A/WH

Step-by-step explanation:

Off topic Btw it reminds me of area = length * width/height

7 0
3 years ago
Read 2 more answers
Two parallel lines are cut by a transversal. What is the measure of angle6 ?
lukranit [14]

Answer:

A

Step-by-step explanation:

Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.

5 0
3 years ago
Help me plz <br><br>76° A B D с What is the measure of ZC? (Hint: just give numerical answer... ​
butalik [34]

Answer:

∠ACB = 38°

Step-by-step explanation:

∠ACB is an inscribed angle while arcAB is its intercepted arc

An inscribed angle is equal to half the length of its intercepted arc

Hence, ∠ACB = 1/2 the measure of arc AB

arc AB = 76°

Hence ∠ACB = 1/2 of 76

76/2 = 38

Therefore ∠ACB = 38°

8 0
2 years ago
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