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Kamila [148]
2 years ago
14

The curved part of this figure is a semicircle. What is the best approximation for the area of this figure? 18+12.125π units² 36

+24.25π units² 36+12.125π units² 18+24.25π units²

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
3 0

Answer:

18+12.125π units²

Step-by-step explanation:

The diameter of the semicircle can be found by the use Pythagoras theorem.

Δx²+Δy²=d²

Δx=3--1=4

Δy=3--6=9

d²=4²+9²

d=√(16+81)

Area=πr²/2

=π×(√(16+81)/2)²÷2

=[π×(97)/4]/2

=97π/8

=18+12.125π units²

97π/8 is equivalent to 18+12.125π units²

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A package of paper weighs 3\frac{4}{6} ounces. If Edward put 3\frac{1}{2} packages of paper on a scale, how much would they weig
Nadusha1986 [10]

Answer:

They would weight 1\frac{1}{21} ounces

Step-by-step explanation:

Weight of complete package of paper = 3 \frac{4}{6} ounces

Weight of complete package of paper =\frac{22}{6}ounces

Edward put3\frac{1}{2} packages of paper on a scale

So, Weight of 3\frac{1}{2} packages   = \frac{\frac{22}{6}}{3\frac{1}{2}}

Weight of 3\frac{1}{2} packages = \frac{\frac{22}{6}}{\frac{7}{2}}

Weight of 3\frac{1}{2} packages =\frac{22}{21}=1\frac{1}{21}

Hence They would weight 1\frac{1}{21} ounces

8 0
2 years ago
If ABCD congruent to QRST, measure of angle A = x – 10º, and measure of angle Q = 2x – 30º, what is the measure of angle A?
belka [17]

Congruent means they are the same,

A and Q are both the first letters, which mean they would also be the same.

Set the two equations equal to each other, solve for x then solve for angle A.


x-10 = 2x-30

Add 30 to each side:

x+20 = 2x

Subtract 1x from each side:

x = 20


Now replace x with 20 in the equation for A


A = 20-10

Angle A = 10 degrees.

3 0
3 years ago
Which statements about the value of the digits in the number 1,111,111 are true?
shepuryov [24]

The digit in the hundred thousand places is 10 times the value of the digit in the ten thousand place option, third is correct.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The digit in the hundred thousand places = 1

And can be written as 100,000

The digit in the ten thousand places = 1

And can be written as 10,000

Taking ratio:

10000/100000 = 1/10

1 = 10×1

Thus, the digit in the hundred thousand places is 10 times the value of the digit in the ten thousand place option, third is correct.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

5 0
1 year ago
Kevin plants a total of 72 flowers in equal rows he plants 6 rows of yellow flowers and 2 rows of red flowers how many flowers a
katovenus [111]

Answer:

For red: 18 in each row. For yellow: 6 in each row

Step-by-step explanation:

72 flowers/equal amount= 36 flowers each color 36/2 red (rows)=18 36/6=6 yellow

5 0
3 years ago
Hikers came across a part of a redwood stump. If the length of the chord is 8 feet, what was the diameter of the tree?
erastova [34]
So in the problem, the length of the chord there is the circumference of the tree. So in order to get the diameter of the tree, we must use the formula in getting the circumference of a circle that is stated as follows. 

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so first we need the get the radius of the tree which represent by this formula:

Radius = C /2pi = 8/6.2832 = 1.2732 ft 
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In summary, the diameter of the tree is 2.565 feet. 


7 0
2 years ago
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