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3 years ago

14

If the two angles are complementary, find the measure of each angle.

2 answers:

oee [108]3 years ago

8 0

Answer: angle CTM-60 and angle MTY=30

Step-by-step explanation:

If two angles are complementary that means added together they are 90.

We can make this equation to solve for p: 2p+p=90

Now we can solve

$2p+p=90\\3p=90\\\frac{3p}{3} =\frac{90}{3}\\p=30$

now that we know p is 30 we can sub it in to find the measure of CTM

2(30)

60

kondor19780726 [428]3 years ago

4 0

Answer:

∠CTM = 60

∠MTY = 30

Step-by-step explanation:

Complementary means adds to 90°

2p + p = 90

3p = 90

p=30

2p = 60

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2 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP ASAP!!

kumpel [21]

Answer:

B

Step-by-step explanation:

Since the triangle is right use the sine/ tangent ratios to solve for x and y

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2 years ago

Read 2 more answers

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

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2 years ago

A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang

Fiesta28 [93]

Answer:

$114.59\°$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

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substitute

$C=2\pi (3)=6 \pi\ cm$

Remember that

$360\°$ subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of $6\ cm$

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