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3 years ago

At work, Chris used 117 inches of tape to seal 9 boxes for shipping. The equation

Mathematics

1 answer:

RoseWind [281]3 years ago

3 0

The right answer is Option B.

Step-by-step explanation:

According to given statement;

$\frac{x}{15}=\frac{117}{9}\\Multiplying\ both\ sides\ by\ 15\\15*\frac{x}{15}=\frac{117}{9}*15\\\frac{15x}{15}=\frac{1755}{9}\\x=195$

Chris will require 195 inches of tape to seal 15 boxes.

The right answer is Option B.

Keywords: Multiplication, Division

Learn more about division at:

#LearnwithBrainly

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Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

The size of a TV is measured by its diagonal. You want to buy a TV that has a 32

ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

$a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51$

Taking square root on both sides

$\sqrt{b^2}=\sqrt{777.51}\\b=27.88$

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

#LearnwithBrainly

7 0

3 years ago

I mark as brainliest i promise

Nataly_w [17]

Answer:

32 units

Step-by-step explanation:

2 x 4 x 4 = 32

you mulyiply the height the width and the length

5 0

2 years ago

Read 2 more answers

What should the rule be for the table?

Law Incorporation [45]

Answer: it’s A

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

14n+6p-8n=18p for n is n=p/2 the answer to this question?

Hitman42 [59]

Answer:

Solved for n, <em>n = 2p</em>

Step-by-step explanation:

14n + 6p - 8n = 18p

6n + 6p = 18p

6n = 12p

n = 2p

3 0

3 years ago