All categories

3 years ago

Estimate the measure of the angle below.

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

I would say B) approx. 35

Step-by-step explanation:

Because that is so close to 45 degrees which is closest to 35

You might be interested in

Will Give Brainliest!

jeka57 [31]

Answer:

d ≤ - 7

Step-by-step explanation:

Given

- 38d - 57 ≥ - 19d + 76 ( add 19d to both sides )

- 19d - 57 ≥ 76 ( add 57 to both sides )

- 19d ≥ 133

Divide both sides by - 19, reversing the symbol as a result of dividing by a negative quantity.

d ≤ - 7

5 0

3 years ago

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

Read 2 more answers

Which graph represents a function with direct variation?<br><br>

sweet [91]

This is easier than you think!

When a graph shows direct variation, it always <em>passes through the origin</em>

The origin is (0, 0)

The very <u>center! </u>

Your answer is the first graph!

5 0

3 years ago

Read 2 more answers

an Archer shoots an arrow into the air such that its height at any time T is given by the function H (t) = -16t^2+ Kt + 3 if the

Sunny_sXe [5.5K]

$\begin{gathered} H(t)=-16t^2+kt+3 \\ At\text{ maximum height, final velocity = 0} \end{gathered}$

4 0

1 year ago

Convert 45° from degrees to radians.

leonid [27]

<h2>pi divided by four</h2>

Step-by-step explanation:

Let the angle in degrees be $a$

Let the angle in radians be $r$

If $a$ is the angle in degrees and $r$ is the angle in radians,

$a\times \frac{\pi }{180}=r$

It is given that the $a=45$

$r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}$

So, $r=\frac{\pi}{4}$

6 0

3 years ago

Read 2 more answers