What is the Range of this Graph? ASAP

Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches w

Leno4ka [110]

9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches

7 0

3 years ago

A rectangular garden measures 29 ft by 37 ft. surrounding (and bordering) the garden is a path 2 ft wide . find the area of this

Andreas93 [3]

Answer: The area of the path is 280 ft^2

(Note that 280 ft^2 means “280 feet squared”)

Step-by-step explanation: The first clue in this question is the dimensions of the rectangular garden which have been given as 29 ft by 37 ft. So we can conveniently compute the area of the garden as follows;

Area = L x W

(Length is 37 ft and Width is 29 ft)

Area = 37 x 29

Area = 1037 ft^2

However there is a path surrounding the garden which is 2 ft wide on all four sides. This means both borders of the length have an extra 4 feet of measurement while both borders of the width also have an extra 4 feet of measurement. So, if the surrounding border and garden is measured altogether, the length would become (37 + 4= 41) 41 feet while the width would become (29 + 4 = 33) 33 feet. So the area of the garden and the surrounding path inclusive can be calculated as

Area = L x W

Area = 41 x 33

Area = 1353 ft^2

To determine the area of ONLY THE SURROUNDING PATH, we simply deduct the area of the GARDEN ONLY (1073 ft^2) from the area of GARDEN AND SURROUNDING PATH (1353 ft^2)

Therefore area of the path surrounding the garden becomes

Area of path = 1353 - 1073

Area of path = 280 ft^2

7 0

4 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Volgvan

Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).

The height of the box is x inches due to this portion being folded up.

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).

6 0

3 years ago

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Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

5 0

3 years ago

What is the measure of angle B in the triangle?

pentagon [3]

Answer: Angle B measures 70 degrees

Step-by-step explanation: One angle is given as 40 while the other two angles are yet unknown.

Remember that the sum of the interior angles in a triangle equals 180 degrees. In other words

Angle A + Angle B + Angle C = 180

Therefore

40 + (2x - 30) + (x + 20) = 180

40 + 2x - 30 + x + 20 = 180

By collecting like terms we have

40 - 30 + 20 + 2x + x = 180

30 + 3x = 180

Subtract 30 from both sides of the equation

3x = 150

Divide both sides of the equation by 3

x = 50

Having calculated x = 50 we can now compute the value of angle B as follows;

When x = 50,

2x - 30 becomes

2(50) - 30

= 100 - 30

= 70.

Angle B measures 70 degrees

8 0

3 years ago