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sveticcg [70]
3 years ago
7

The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

Side is equal to (z+6) feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to 90°

Area of a square = side × side

Area of a square =z^2+12z+36

Here, write 12z=6z+6z

Therefore,

Area of a square =z^2+6z+6z+36

=z(z+6)+6(z+6)

=(z+6)^2 square feet

So,

side × side =(z+6)^2

This implies side is equal to (z+6) feet.

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Simplify the expression 8^2+9(12/3*2)-7 Step by step please :)
Xelga [282]

Answer:

129

Step-by-step explanation:

{8}^{2}  + 9(12 \div 3 \times 2) - 7

64 + 9(12 \div 3 \times 2) - 7

64 + 9 \times 8 - 7

64 + 72 - 7

\boxed{\green{= 129}}

4 0
3 years ago
What is side e<br><br>Angle d and angle f<br>Please let me know asap
irga5000 [103]

9514 1404 393

Answer:

  • e ≈ 9.608
  • D ≈ 46.5°
  • F ≈ 38.5°

Step-by-step explanation:

The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...

  e² = d²+f² -2df·cos(E)

  e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082

  e ≈ 9.608

The remaining angles can be found from the law of sines.

  sin(D)/d = sin(E)/e

  D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°

  F = 180° -95° -46.5° = 38.5°

8 0
3 years ago
Can somebody help with this
Morgarella [4.7K]

Answer:

b 2.5

Step-by-step explanation:

The way to solve is you divide A by B

(Higher number by lower number)

10/4=2.5

brainliest?

5 0
3 years ago
Today Ian wants to run less than 7/12 mile. Write a fraction with a denominator of 4 to respresent a distance that is less than
Mkey [24]

Lan wants to run less than 7/12 miles. It says to find out a fraction with a denominator of 4 and which is less than 7/12.

Let's assume the required fraction to be x/4 such that x/4 is less than 7/12.

\frac{x}{4} < \frac{7}{12} \\\\ 3*\frac{x}{4} < \frac{7}{12}*3 \\\\ \frac{3x}{4} < \frac{21}{12} \\\\ \frac{3x}{4} < \frac{7}{4} \\\\ 3x < 7

So we must have multiples of 3's that should be less than 7, we have only two choices 3 < 7 or 6 < 7.

It means x = 1 or x = 2, and the required fraction would be 1/4 or 2/4.

2/4 is simplified to 1/2 and the question says to have denominator 4.

Hence, final answer is 1/4

5 0
3 years ago
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Wittaler [7]

n word go brrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

5 0
3 years ago
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