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3 years ago

M <1 = 30°, m< 2 = 45°, m<3=

1 answer:

7 0

The answer to is 15 because your trying to make all of the angles add up to 90, which 45+30= 75 so then you only need 15 more to add up to 90.

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A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Bob is standing 25 feet from a lamppost that is to his left and 30 feet from a lamppost that is to his right. The distance betwe

irina1246 [14]

Answer:

The answer is 41

Step-by-step explanation:

400 = 900 + 625 - 1500 cos x

400 - 1525 = -1500 cos x

-1125 = -1500 cos

cos x = -1125/-1500

x = cos⁻¹ 0.75

x = 41.409622109

x ≈ 41°

3 0

2 years ago

Round up 395,621 to the nearest ten thousand

jeyben [28]

396,000
because 5 goes up and anything lower than five stays the same

4 0

3 years ago

Ignore my writing Solve the inequality

Reil [10]

Answer:

x=1

Step-by-step explanation:

-5 - (15x-1) = 2(7x-16) -x

Distribute the negative sign

-5-15x+1 = 2(7x-16)-x

Distribute the 2

-5-15x+1 = 14x -32-x

Combine like terms

-4-15x = 13x-32

Add 15x to each side

-4-15x+15x = 13x+15x-32

-4 = 28x-32

Add 32 to each side

-4+32 = 28x-32+32

28 = 28x

Divide each side by 28

28/28 = 28x/28

1 =x

6 0

3 years ago

If 2^5 x 5^2 = 2^n x 10^2, what is the value of n?

Marat540 [252]

Answer: x = 0

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

7 0

3 years ago