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1 year ago

The seats at a football stadium are on a slope with gradient of 1/2. What is the height of the bottom seats?

Mathematics

2 answers:

pochemuha1 year ago

6 0

Answer:

ANS IS 2m

Step-by-step explanation:

we can solve it by using coordinate geometry

adelina 88 [10]1 year ago

6 0

Answer:

Height of the bottom seats is 2 meter.

Step-by-step explanation:

It has been given in the question seats are located on a slope having gradient $\frac{1}{2}$

We have to find the height h of the bottom seats.

Since gradient = $tan\theta=\frac{1}{2}$

Therefore, from the figure attached,

$tan\theta =\frac{(12-h)}{20}$

$\frac{1}{2}=\frac{(12-h)}{20}$

12 - h = $\frac{20}{2}$

12 - h = 10

h = 12 - 10

h = 2 m

Therefore, height of the bottom seats if 2 m.

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Answer:

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1 year ago

The student government wants to determine the theme for the eighth grade dance. Which group would it be best to take a sample fr

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The best group to take a sample from would be the eighth graders because they are the ones who will be participating in the dance, so they should have the most input.

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2 years ago

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Zoe the goat is tied by a rope to one corner of a 15 by 25 meter rectangular barn in the middle of a large, grassy field. Over w

atroni [7]

Answer: $78.55\ m^2$

Step-by-step explanation:

Given

The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.

Zoe can graze in an area equal to quadrant of circle with radius 10 m

Area of grazing is

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1 year ago

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

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1 year ago

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