If x = 2.5, 5c = ? (Only I put decimals such as 12.7 as the answer).

A central angle of a circle is 90 degrees. If the diameter of the circle is 12 cm, what is the area of the segment created by co

Yanka [14]

<h3>The area of the segment created by connecting the two points on the circle created by the angle described is 28.26 square centimeter</h3>

Solution:

Given that,

A central angle of a circle is 90 degrees

diameter of the circle is 12 cm

radius = 12/2 = 6 cm

To find: Area of segment

The area of sector when angle is in degrees is:

$Area\ of\ sector = \frac{\theta}{360} \times \pi r^2$

Where,

r is radius

$\theta$ is angle in degrees

Therefore,

$Area\ of\ sector = \frac{90}{360} \times 3.14 \times 6^2\\\\Area\ of\ sector = 0.25 \times 3.14 \times 36\\\\Area\ of\ sector = 28.26$

Thus area of the segment created by connecting the two points on the circle created by the angle described is 28.26 square centimeter

5 0

4 years ago

n 19451945, an organization asked 14031403 randomly sampled American citizens, "Do you think we can develop a way to protect o

kotykmax [81]

Answer:

We conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

Step-by-step explanation:

We are given that an organization asked 1403 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 737 responding yes.

We have to conduct a test to determine that a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

Let p = percentage of citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

SO, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs}

Alternate Hypothesis, $H_A$ : p > 50% {means that majority of the citizens feel the country could develop a way to protect itself from atomic bombs}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = proportion of citizens responding yes in a sample of 1403 citizens = $\frac{737}{1403}$

n = sample of citizens = 1403

So, test statistics = $\frac{\frac{737}{1403} -0.50}{{\sqrt{\frac{\frac{737}{1403}(1-\frac{737}{1403})}{1403} } } } }$

= 1.898

The value of the test statistics is 1.898.

Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 1.898 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

3 0

4 years ago

9 is what percent of 6

Zigmanuir [339]

9 is what percent of 6 the answer is 150%

7 0

3 years ago

Triangle GHJ is a right triangle. Angle G has a measure of g°, and angle H has a measure of h°, and angle J is a right angle.

dimaraw [331]

Answer:

Part A: equations B and D are true

Part B: expression B is equal to tan(g)

Step-by-step explanation:

In the given triangle, sin(g) = cos(h) and cos(g) = sin(h).

___

Part A

Based on the above, selection B is true.

Based on the above, the equation of D becomes: sin(h)+sin(g) = sin(g) +sin(h), which is true.

Selections B and D are true

___

Part B

Based on the above tan(g) can also be written ...

tan(g) = cos(h)/sin(h) . . . . . corresponds to selection B

4 0

3 years ago

What algebraic property is demonstrated in the equation below? 5 + 3(2x - 7) = 5 + 6x - 21

Delvig [45]

Answer:

The distributive property

Step-by-step explanation:

We know that distributive property states a(b+c)=ab+ac. We can see that 3 is distributed to expression (2x-7) as

5+3(2x-7)=5+3*2x+3*-7

5+3(2x-7)=5+6x-21

5 0

3 years ago