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3 years ago

The figure below has to be covered with multi-colored cloth. What is the area of the cloth in sq mm that is needed?

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Answer:

26,250 sq mm^2

Step-by-step explanation:

First i cut the shape so its a rectangle on the top and there is a vertical rectangle. Then you find the lengths and to do that for the first rectangle(the horizontal one) you add 75, 75 and 75 to get the length. Then multiply 225(the sum of the 3 75s) by 75 (width) which gets you 16,875.

That is the area of the first rectangle

Now for the vertical rectangle you simply multiply the length and width, 75x125. That equals 9,375. Now add.

9375+16875= 26250!!!!

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PLS HELP ASAP!!! <br><br> THANK YOU.

ipn [44]

9514 1404 393

Answer:

rectangular prism: 288 ft³
triangular prism: 72 ft³
total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

The volume of a triangular prism is found from the formula ...

V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

B = 1/2(6 ft)(4 ft) = 12 ft²

V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

The total volume of the given geometry is the sum of the volumes of the parts:

aquarium volume = 288 ft³ +72 ft³ = 360 ft³

3 0

3 years ago

Mateo is training for a race. On Monday Mateo ran 7/10 mile. On Tuesday Mateo ran 9/10 mile. how much farther did Mateon run on

Valentin [98]

Answer:

$\frac{1}{5}$

Step-by-step explanation:

$\frac{9}{10} -\frac{7}{10} =\frac{2}{10} =\frac{1}{5}$

4 0

3 years ago

Isabella averages 152 points per bowling game with a standard deviation of 14.5 points. Suppose Isabella's points per bowling ga

Serga [27]

Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu = 152, \sigma = 14.5$

The z-score when x=187 is ...

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{187 - 152}{14.5}$

$Z = 2.41$

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

3 0

3 years ago

Polly’s favorite cereal has 270 calories. The nutrition label on the box states that 56 of the calories come from fat. How many

Crazy boy [7]

I'm going to assume that you mean 56% of the calories come from fat. So, we would have to find out 56% of 270 which is 151.2, so now we know that 151.2 calories in the cereal come from fat!

3 0

3 years ago

What is the sum of product of a number x and 14 , and 10

malfutka [58]

14x+10 asldfkjalsdkf

7 0

3 years ago