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monitta
3 years ago
7

Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary

Mathematics
1 answer:
Semenov [28]3 years ago
4 0

Answer:

25,886.01 in²

Step-by-step explanation:

The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)

Area of a circle = πr²

Radius of larger circle = PO = 93.4 in

Area of the larger circle = 3.14*93.4² = 27,391.98 in²

Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9

Area of smaller circle = 3.14*21.9² = 1,505.97 in²

Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²

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Convert 2.4 kg into cg. Please show your work.
Sphinxa [80]
1 kg = 1000 g
1 cg = (1/100) g

2.4 kg
2.4 * 1000 g
2400 g
2400/100 cg
24 cg
7 0
3 years ago
Please help!!
erastova [34]

Answer:

  180, 180, 148, 180, 148

Step-by-step explanation:

The two rules in play here are ...

  • the sum of interior angles of a triangle is 180°
  • the angles of a linear pair are supplementary (they total 180°)

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The first of these rules answers the first two questions:

  • interior angles total 180°
  • angles 1, 3, 4 total 180°

We can subtract the measure of angle 1 from both sides of the previous equation to find the sum of the remaining two angles.

  • angles 3 and 4 total 148°

The second rule answers the next question:

  • angles 1 and 2 total 180°

As before, subtracting the value of angle 1 from both sides of the equation gives ...

  • angle 2 must be 148°

_____

<em>Additional comment</em>

Of course, the subtraction property of equality comes into play, also. For some unknown, X, you have (in both cases) ...

  X + 32° = 180°

  X +32° -32° = 180° -32° . . . . . . subtraction property of equality

  X = 148° . . . . . . . . simplify

In the first case, X is the sum of angles 3 and 4. In the second case, X is angle 2 only.

7 0
2 years ago
How to solve the problem
WINSTONCH [101]
As tgose lines are parallel then,

a = 140° ( by alternate interior angles)

then,
tha angle just below "a" on the other paralle line would also be 140° by corresponding angles,

using exterior angle property of triangle

66° + b = 140°

b = 140° -66
= 74°
7 0
3 years ago
What is being done to the variable in the equation 3 + g = -9?
almond37 [142]

Answer:

its A

Step-by-step explanation:

not gonna explain it cause I dont have to ._. plus it wasnt that hard

4 0
3 years ago
ecn 221 The sodium content of a popular sports drink is listed as 206 mg in a 32-oz bottle. Analysis of 14 bottles indicates a s
spayn [35]

Answer:

H_{0}: \mu = 206\text{ mg}\\H_A: \mu \neq 206\text{ mg}

Step-by-step explanation:

We are given the following in the question:

Population mean, μ =  206 mg

Sample mean, \bar{x} = 217.5 mg

Sample size, n = 14

Sample standard deviation, s = 14.9 mg

Claim:

The mean sodium content for the sports drink is not 206 mg. It is different than 206 mg.

Thus, we design the null and the alternate hypothesis

H_{0}: \mu = 206\text{ mg}\\H_A: \mu \neq 206\text{ mg}

We use two-tailed t test to perform this hypothesis.

     

3 0
2 years ago
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