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2 years ago

You are building an entertainment center for a television. You need to

1 answer:

5 0

This question is about Pythagorean theorem, a square + b square = c square
Where a and b represents either leg of the triangle (width or height), and c represents the hypotenuse (the diagonal)
Let height = h
For the question above, the equation will be
36 square + h square = 45 square
Subtract 36 square from both sides
36 square - 36 square + h square= 45 square - 36 square
h square = 2025 - 1296
h square = 729
Find the square root of both sides
Square root of h square = square root of 729
h = 27
The height of the television is 27

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Which system will have an infinite number of solutions?

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3 years ago

51 less than the product of 7 and a number is 19. What is the number?

Firlakuza [10]

Answer:

Step-by-step explanation:

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3 years ago

Question

Aleonysh [2.5K]

Answer:

$\large \boxed{-40, \ 4, \ -4}$

Step-by-step explanation:

$f(x)=-9x+14$

$\sf Put \ x \ as \ 6.$

$f(6)=-9(6)+14$

$f(6)=-54+14$

$f(6)=-40$

$g(x)=-3x^2$

$\sf Put \ g(x) \ as \ -48.$

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3 years ago

Read 2 more answers

1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting se

jeka94

Answer:

a. 20x > 10x + 80

b. •20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10: 10x/10 > 80/10

• Simplify: x > 8

Step-by-step explanation:

10x + 80 = number of seashells Pilar has.

20x = number of seashells Marisol has.

answer for a: 20x > 10x + 80

answer for b: 20x > 10x + 80

• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x

• Simplify: 10x > 80

• Divide both sides by 10: 10x/10 > 80/10

• Simplify: x > 8

3 0

3 years ago

Read 2 more answers

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 f

krok68 [10]

✰ Concept Used :-

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In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

⠀

✰ Given Information :-

⠀

Hypotenuse = 22 ft.
Base = 10 ft.

⠀

✰ To Find :-

⠀

The value of side or the perpendicular

⠀

✰ Formula Used :-

⠀

$\star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star$

⠀

✰ Solution :-

⠀

$\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\$

Thus, option B. 19.60 ft. is the correct option.

⠀

$\underline{\rule{230pt}{2pt}} \\ \\$

4 0

2 years ago