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Lilit [14]
4 years ago
11

Will you help me?

Mathematics
1 answer:
Volgvan4 years ago
8 0

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

91=(x+4)(x-2)

Solve for x

91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

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What is the surface area of the composite figure? Round to the nearest tenth.
pychu [463]

Answer:

Find the area of the base of the cylinder using A = (pi)r 2 . Subtract your answer from the 80 square inches for the cube and the area of the cylinder. 4. Add the surface areas of each figure to get the total area of the composite figures.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20-%20%20%7By%7D%5E%7B2%7D%20" id="TexFormula1" ti
Alexus [3.1K]

Answer:

(x + y)(1 + x - y)

Step-by-step explanation:

x + y + x² - y²

(x + y) + (x - y)(x + y)

[ Using a²-b² = (a-b)(a+b) ]

Taking (x + y) common

(x + y)(1 + x - y)

5 0
3 years ago
Graph x/8 is greater than 2÷(3+4+1)×2
Mice21 [21]
X/8 > 2÷(3+4+1)×2 can be simplified as:

x/8 > 2÷(3+4+1)×2
= x/8 > 1÷(3+4+1)
= x/8 > 1÷(8)
= x/8 > 1/8
= x > 1
As shown in the attached picture, the red shaded part is the graph of x>1

3 0
4 years ago
A statement that's known to be always true or always false is a <br>​
V125BC [204]

Answer:

The statement that's known to be always true is known as tautologies whereas the statement that's known to be always false is known as contradiction.

4 0
3 years ago
Solve for the indicated arc or angle in the diagram and match it to the correct solution at the bottom of the page.
hjlf

Answer:

106°

Step-by-step explanation:

The angle CAB is an inscribed angle of the arc mBC, so we have that:

mBC = 2*CAB

So we have that mBC = 2*37 = 74°

The segment AC is a diameter of the circle, so mAC = 180°

The ? angle is the arc mAB, which is the difference of mAC and mBC, so:

mAB = mAC - mBC = 180 - 74 = 106°

So the ? angle is 106°.

7 0
3 years ago
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