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2 years ago

Which trig ratio should you use to find the given side?

Mathematics

1 answer:

Zigmanuir [339]2 years ago

4 0

Answer:

D. cosine

Step-by-step explanation:

As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.

In a right angle triangle, there is a formula as following:

<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>

In the figure, the point of angle B and length of hypotenuse AB are given.

We have to calculate x - length of the given side. As BC is the adjacent side of angle B

=> we can use the above formula to calculate x

So that we can use cosine

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

4 0

2 years ago

For what value of a does 9 = (StartFraction 1 Over 27 EndFraction) Superscript a + 3?

vodka [1.7K]

Answer:

Step-by-step explanation:

9 = (1/27)^(a+3)

3² = (3^-3)^(a+3)

3² = 3^(-3a-9)

2 = -3a-9

-3a = 11

a = -11/3

7 0

3 years ago

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
$\frac{-3}{v} = -6$

<em>New Equation {Added Multiply Both Sides by V} :</em>
$\frac{-3}{v} v=-6v$

<em>Solution {New Equation Solved} :</em>
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
$-3 = -6v$

<em>New Equation {Switched} :</em>
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
$-6v = -3$

<em>New Equation {Added Divide Both Sides by V} :</em>
$\frac{-6v}{v} = \frac{-3}{v}$

<em>Solution {New Equation Solved} :</em>
$v = \frac{1}{2}$

<em>So, this means that in the equation $\frac{-3}{v} =-6$ ,</em> $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

3 0

2 years ago

A tree 63 ft high casts a 38 ft shadow. How tall is a tree that casts a 52 ft shadow at the same time of the day? (to the neares

Mrac [35]

52/38 = 1.368

1.368 x 63 = 86.21

tree is 86.2 feet high

3 0

3 years ago

Brainliest if it is right

cupoosta [38]

Answer:

17.8

Step-by-step explanation:

All you have to do is 8.9 x 2 = 17.8

HOPE HIS HELPS

6 0

1 year ago

Read 2 more answers