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3 years ago

Find the area of the shape

Mathematics

1 answer:

REY [17]3 years ago

4 0

Answer:

787.5

Step-by-step explanation:

23×14=322

A=a+b /2h=15+34 /2·19=465.5

322+465.5=787.5

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Is the answer a, b, c, or d?

lbvjy [14]

I hope this helps you

6 0

3 years ago

Find the volume of the cylinder.

KiRa [710]

Answer:

12π ≈ 37.7 cubic centimeters

Step-by-step explanation:

The volume of the cylinder can be found using the appropriate formula.

<h3>dimensions</h3>

The cylinder is marked as having a diameter of 4 cm, and a height of 3 cm. The radius of the cylinder is half the diameter:

r = d/2

r = (4 cm)/2 = 2 cm

<h3>formula for volume</h3>

The formula for the volume of a cylinder is ...

V = πr²h . . . . . . where r is the radius and h is the height

Using the dimensions given, we find the volume to be ...

V = π(2 cm)²(3 cm) = π(4 cm²)(3 cm) = 12π cm³

Written as a decimal, the volume is about ...

12π cm³ ≈ 37.70 cm³ . . . . volume of the cylinder

_____

<em>Additional comment</em>

You probably noticed that we used the units in the formula along with the numbers. Units abbreviations can be manipulated algebraically the same way any other variable can be:

x · x = x²

cm · cm = cm²

Computing the volume in more steps, we have ...

V = π(2 cm)²(3 cm)

= π(2 cm)(2 cm)(3 cm) . . . . expanding the square term

= π(2)(2)(3)(cm)(cm)(cm) . . . . we can rearrange the factors of a product

= π(12)(cm³)

= 12π cm³

7 0

2 years ago

Read 2 more answers

Find the distance between A and B.<br> A) 7 units<br> B) 6 units<br> C) 5 units<br> 7 units

tatyana61 [14]

It’s 7 unites so I think it’s a

6 0

3 years ago

Read 2 more answers

A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has $141 worth of sheet metal remaining

Aleks [24]

Answer:

The cost of a sheet metal per square foot is $30

Step-by-step explanation:

Given

Size of Sheet Metal = 8.2ft squared

Used Sheet Metal = 3.5ft squared

Worth of leftover sheet = $141

Equation: $8.2x - 3.5x = 141$

Required

Find the cost per square foot of the sheet metal

Solving for x in the above equation will give the cost per square foot of the sheet metal.

$8.2x - 3.5x = 141$

$4.7x = 141$

Divide both sides by 4.7

$\frac{4.7x}{4.7} = \frac{141}{4.7}$

$x = \frac{141}{4.7}$

$x = 30$

Hence, the cost of a sheet metal per square foot is $30

8 0

4 years ago

Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y

vitfil [10]

Answer:

$P(Y = 3 | X = 2) = 0.2857$

Step-by-step explanation:

Given

The question has missing details, and it is poorly formatted.

See attachment for complete question

From the attachment, we have:

Calculate: $P(Y = 3 | X = 2)$

This is calculated as:

$P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}$

From the attached image, we have:

<em /> $P(X = 2 | Y = 3) = 0.10$ <em> i.e. column x = 2 and row y = 3</em>

<em /> $P(X = 2) = 0.05 + 0.10 + 0.20$ <em> --- i.e. we add all columns of x = 2</em>

This gives:

$P(X = 2) = 0.35$

So, we have:

$P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}$

$P(Y = 3 | X = 2) = \frac{0.10}{0.35}$

$P(Y = 3 | X = 2) = 0.2857$

8 0

3 years ago