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3 years ago

What is the surface area of the figure shown above

Mathematics

1 answer:

gtnhenbr [62]3 years ago

7 0

Answer:

230 cm^2

Step-by-step explanation:

The area of each parallelogram face is ...

A = bh = (8 cm)(3 cm) = 24 cm^2

The area of the two rectangular faces shown is ...

A = (area of top face) + (area of right side face)

A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2

The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...

total surface area = 2(24 cm^2 +91 cm^2) = 230 cm^2

_____

Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.

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Answer:

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1 year ago

An angle has a reference angle of 40° in the third quadrant what is a positive measure of the angle and a negative measure of th

sertanlavr [38]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie

4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

$z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\$

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

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