All categories

3 years ago

Find the area of the shape.

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer:

12.5π units²

Step-by-step explanation:

Area of a semi-circle = πr²/2

Radius = diameter/2

Radius = 5

Therefore, the area of the semi-circle = 12.5π units²

You might be interested in

The area of a rectangle is 265.5 m2. If the length is 18 m, what is the perimeter of the rectangle?

julia-pushkina [17]

Answer:

65.5 m

Step-by-step explanation:

Step 1. Find the width of the rectangle.

The formula for the area of a rectangle is

A = lw

Data:

A = 265.5 m²

l = 18 m

Calculation:

265.5 = 18w

w = 265.5/18 = 14.75 m

Step 2. Calculate the perimeter

The perimeter (P) of a rectangle is the sum of the lengths of its sides.

P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m

The perimeter of the rectangle is 65.5 m.

4 0

3 years ago

A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation

Rzqust [24]

Answer: 0.6065

Step-by-step explanation:

Given : The machine's output is normally distributed with

$\mu=27\text{ ounces per cup}$

$\sigma=3\text{ ounces per cup}$

Let x be the random variable that represents the output of machine .

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x= 21 ounces

$z=\dfrac{21-27}{3}\approx-2$

For x= 28 ounces

$z=\dfrac{28-27}{3}\approx0.33$

Using the standard normal distribution table , we have

The p-value : $P(21$

$P(z$

Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065

8 0

3 years ago

Solve the system of equations by elimination. Show your work. i’ll give brainliest

My name is Ann [436]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

$4x+6y=44\\-4x-2y=-28$
_____________

$4y=16$

$y=16/4 =4$

Replace "y" in the first equation:

$4x+6(4)=44$

$4x+24=44$

$4x=44-24$

$x=20/4=5$

Hope this helps

5 0

2 years ago

Read 2 more answers

Which expression is equivalent to the expression 4(6+y)+7?

natita [175]

Answer:

31 + 4y

Step-by-step explanation:

4(6+y)+7

Expand the brackets.

24+4y+7

Rearrange.

4y + 24 + 7

Add the like terms.

4y + 31

7 0

3 years ago

Write an equation of the parabola that has the same shape as the graph of f(x), but with the point (,) as the vertex.

erik [133]

Answer:

y=3(x-9)^2+4

Step-by-step explanation:

To move a parabola horizontally to the right, subtract 9.

To move it upward 4 units, you simply have to add 4.

These do not change the characteristics of the shape. I suggest looking at a set of rules that affect how the parabola moves horizontally and vertically.

5 0

2 years ago