1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
11

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14mm. Find the area of the shaded regio

n. Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
Damm [24]3 years ago
7 0

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

You might be interested in
Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than qua
Aneli [31]

Step-by-step explanation:

Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than quarters. How many of each coin are in her purse?

nickels

dimes

quarters

4 0
2 years ago
What's the probability you roll an even number on a number cube given that you've already rolled a 3?
lara [203]
Suppose you roll a red number cube and a blue number cube. What is the probability that you will roll a 5 on the red cube and a 1 or 2 on the blue cube?
6 0
3 years ago
I need help with all of thies
levacccp [35]

Answer:

The equation for finding the hypotenuse is:

c^2+c^2=h^2

For example, in the first exercise:

8^2+10^2=164^2

For clearing the equation, find out the root of 164=

12.8

Hypotenuse of the first triangle is 12.8!

Let me help you with the next, if you still dont get it:

8^2+13^2=233^2

Root of 233: 15.2

Hypotenuse of second triangle is 15.2!

3 0
2 years ago
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15.
trapecia [35]

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

8 0
2 years ago
What is 70% as a fraction in simplest form
andriy [413]
70% is the same as 70/100  then we simplify by taking off one zero of each number 7/10 and we can't divide it any more so the answer is 7/10
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please explain how to solve this problem(31)
    11·1 answer
  • A person walks 1/3 mile in 1/9 hour. At what speed is the person walking in miles per hour?
    7·1 answer
  • How many seconds in 10 minutes??
    13·2 answers
  • Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 1
    5·1 answer
  • To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped fro
    15·1 answer
  • 36 inches/second = yards/minute<br><br> How many yards?
    5·1 answer
  • How many ways can you make<br> The number 24 with the numbers 2,3,6,7 and 8
    13·1 answer
  • A scoop used to measure powdered drink mix is in the shape of a cone with a radius of 5 cm.
    6·1 answer
  • List the numbers in order from least to greatest:<br><br> -4, -9/4, 1/2, 3.7,
    8·2 answers
  • Write the following Arithmetic Sequence using an Explicit Formula: a1 = 14 ,an = an-1 – 6 A.) an = 6 – 14(n – 1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!