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avanturin [10]
3 years ago
7

WILL MARK BRAINLIEST! What is the radius of a circle with a diameter of 21 meters?

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

10.5

Step-by-step explanation:

21 divided by 2=10.5

Olegator [25]3 years ago
4 0
Divide 21 by 2 and you’ll get 10.5 and That’s the answer
You might be interested in
The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part
erastova [34]

Answer:

71.63 \: \: \mathrm{cm^2 }

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

d=\sqrt{w^2 + l^2}

The width is 10 cm and the length is 12 cm.

d=\sqrt{10^2 + 12^2}

d \approx 15.62

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

A=\pi r^2

The r is the radius of the circle, to find radius from diameter we can divide the value by 2.

r = \frac{d}{2}

r=\frac{15.62}{2}

r=7.81

Let’s find the area now.

A=\pi (7.81)^2

A \approx 191.625

Find the area of rectangle.

A=lw

Length × Width.

A = 12 \times 10

A=120

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

191.625-120

71.625 \approx 71.63

5 0
2 years ago
What is a equivalent ratio of 16:18
Elis [28]

equivalent ratio of 16:18 is 8:9

6 0
3 years ago
Read 2 more answers
Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

3 0
3 years ago
In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed. Use
Mademuasel [1]

Answer:

Claim is true that most medical malpractice lawsuits are dropped or dismissed.

Step-by-step explanation:

Given :In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed.

To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Solution:

n =  799

x = 499

We will use one sample proportion test  

\widehat{p}=\frac{x}{n}\\\widehat{p}=\frac{499 }{ 799}\\\widehat{p}=0.6245

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.

Probability of dropped or dismissed is 1/2

 H_0:p=0.5\\H_a:p>0.5

Formula of test statistic = \frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                        =\frac{0.6245-0.5}{\sqrt{\frac{0.5(1-0.5)}{799}}}

                                       = 7.038

p value (z>7.038) is 0

α =0.05

So, p value < α

So, we reject the null hypothesis

So,claim is true

Hence most medical malpractice lawsuits are dropped or dismissed.

6 0
3 years ago
A cat is stuck in a tree looking down at firemen, the cat sat at a 20 degree angle
Svetach [21]

Answer:

BC=sin(62∘)⋅22≈19.42

8 0
2 years ago
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