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2 years ago

Pleas help to find a cure for cancer

Mathematics

1 answer:

Dmitry [639]2 years ago

8 0

Answer: Area of Yellow part is 5.365046 $ft^{2}$

Step-by-step explanation:

Figure show that length of square is 5 ft and diameter of circle is also, 5 ft.

Here, Red part + Yellow part = Entire square of length of 5ft

Area of red part is area of circle = $\pi R^{2}$

= $\pi (\frac{5}{2})^{2}$

= 19.634954 $ft^{2}$

Area of Entire square of length of 5ft = 5x5 = 25 $ft^{2}$

Therefore, Area of Yellow part is 25-19.634954=5.365046 $ft^{2}$

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In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.

sdas [7]

Using the Law of Sines (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.

The third angle is C is 180-53-17=110°

27/sin53=b/sin17=c/sin110

b=27sin17/sin53, c=27sin110/sin53

And the perimeter is a+b+c so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units (to nearest hundredth of a unit)

6 0

3 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

erastova [34]

Answer:

the probability that the sample mean will be larger than 1224 is 0.0082

Step-by-step explanation:

Given that:

The SAT scores have an average of 1200

with a standard deviation of 60

also; a sample of 36 scores is selected

The objective is to determine the probability that the sample mean will be larger than 1224

Assuming X to be the random variable that represents the SAT score of each student.

This implies that ;

$S \sim N ( 1200,60)$

the probability that the sample mean will be larger than 1224 will now be:

$P(\overline X > 1224) = P(\dfrac{\overline X - \mu }{\dfrac{\sigma}{\sqrt{n}} }> \dfrac{}{}\dfrac{1224- \mu }{\dfrac{\sigma}{\sqrt{n}} })$

$P(\overline X > 1224) = P(Z > \dfrac{1224- 1200 }{\dfrac{60}{\sqrt{36}} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{\dfrac{60}{6} })$

$P(\overline X > 1224) = P(Z > \dfrac{24 }{10} })$

$P(\overline X > 1224) = P(Z > 2.4 })$

$P(\overline X > 1224) =1 - P(Z \leq 2.4 })$

From Excel Table ; Using the formula (=NORMDIST(2.4))

P(\overline X > 1224) = 1 - 0.9918

P(\overline X > 1224) = 0.0082

Hence; the probability that the sample mean will be larger than 1224 is 0.0082

4 0

3 years ago

30% of students at Greenville High School participate in a sport. There are 540 students in the school. How many students in the

ivanzaharov [21]

Answer:

162 student play sports

Step-by-step explanation:

.3 represents 30 precent, so multiply 540 by .3 to get your awnser this is because the .3 is less than one so the multiplying will not raise the number but lower it to 162

6 0

2 years ago

Multiply -c^2(3c-2) apply distributive property and multiply

alexandr402 [8]

Answer:

$\large\boxed{-c^2(3c-2)=-3c^3+2c^2}$

Step-by-step explanation:

$-c^2(3c-2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(-c^2)(3c)+(-c^2)(-2)\\\\=-3c^3+2c^2$

7 0

2 years ago

IXL geometry please help!

Sedaia [141]

<h3>Answer: 32 degrees</h3>

================================

Work Shown:

Inscribed angle theorem

arc measure = 2*(inscribed angle)

arc ABC = 2*(angle D)

arc ABC = 2*(35)

arc ABC = 70 degrees

-------------

break arc ABC into its smaller pieces

(minor arc AB)+(minor arc BC) = arc ABC

(38)+(minor arc BC) = 70

minor arc BC = 70-38

minor arc BC = 32

8 0

3 years ago