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Simora [160]
3 years ago
10

How to calulate how high a tree that is 5m high and shadow is 4m?

Mathematics
1 answer:
Deffense [45]3 years ago
3 0
If you are trying to figure out the distance between the top of the tree and the end of the shadow, use a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the legs of the right triangle.
5^2 + 4^2 = c^2
25 + 16 = c^2
41 = c^2
c = √41 = 6.4 meters
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Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?
Serggg [28]
The area is given by

\displaystyle\int_1^4(x^{1/2}+2)\,\mathrm dx=\left(\frac23x^{3/2}+2x\right)\bigg|_{x=1}^{x=4}=\dfrac{40}3-\dfrac83=\dfrac{32}3=10+\dfrac23

so the answer is B
8 0
3 years ago
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
ArbitrLikvidat [17]

Answer:

a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.

Step-by-step explanation:

since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis

So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642

8 0
3 years ago
Solve the system using substitution: x = -4y and x + 5y = 2<br> Please and thank you.
Novay_Z [31]

Answer:

x = - 8, y = 2

Step-by-step explanation:

x =  - 4y......(1) \\ x + 5y = 2....(2) \\ plug \: x =  - 4y \: in \: equation \: (2) \\  - 4y + 5y = 2 \\ y = 2 \\ plug \: y = 2 \: in \: equation \: (1) \\ x =  - 4(2) \\ x =  - 8\\

7 0
3 years ago
WILL BRAINLIST IF RIGHT (20points)
Lena [83]

Answer:

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Step-by-step explanation:

6 0
3 years ago
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher
just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0
3 years ago
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