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3 years ago

Find the measure of angle T to the nearest degree.

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer:

The answer is option 2.

Step-by-step explanation:

You have to use Cosine Rule, cosθ = adjacent/hypotenuse. Substitute the following value into the formula :

$\cos(θ) = \frac{adj.}{hypo.}$

Let θ = T,

Let adj = 7.5,

Let hypo = 19.5,

$\cos(T) = \frac{7.5}{19.5}$

$T = { \cos( \frac{7.5}{19.5} ) }^{ - 1}$

$T = 67° \: \: (near. \: degree)$

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Calculate the average rate of the following intervals

AveGali [126]

Answer:

What's the intervals for this question

Step-by-step explanation:

3 0

3 years ago

What is the ratio of the number of days in the week that do not begin with the letter T to the total numbers of days in the week

Rom4ik [11]

Answer:

The answer is 5 over 7

Step-by-step explanation:

5 0

3 years ago

Find z within the problem.

irinina [24]

Answer:

z = √35

Step-by-step explanation:

In this geometry, all of the right triangles are similar, so corresponding sides are proportional.

long side / hypotenuse = 5/z = z/(2+5)

z² = 5(7) = 35

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7 0

2 years 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.

6 0

3 years ago

Read 2 more answers

6. Audrey's monthly car payment is $350 and

jasenka [17]

Answer:

22 hours

Step-by-step explanation:

For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.

$350 + $35 = $385

Audrey makes $17.50 an hour. Set up an equality to find the amount of hours she must work to pay for her car payment and gas.

17.50x > 385

(17.50x)/17.50 > 385/17.50

x > 22

Audrey must work at least 22 hours to pay for her car payment and gas.

5 0

4 years ago