Ask question

Ask question

All categories

3 years ago

14

Find the measure of Angle b - ONLY TYPE THE NUMBER (if you write the number with anything else, it will be counted incorrect by

the system) *

1 answer:

Alina [70]3 years ago

5 0

Answer:

65

Step-by-step explanation:

90 degrees - 25 degrees = 65 degrees

You might be interested in

Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).

Reil [10]

Answer:

Part A) $sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}$

Part B) $tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) $sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}$

Step-by-step explanation:

Part A) Find $sin(\alpha)\ and\ cos(\beta)$

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$sin(\alpha)=cos(\beta)$

Find the value of $sin(\alpha)$ in the right triangle of the figure

$sin(\alpha)=\frac{8}{14}$ ---> opposite side divided by the hypotenuse

simplify

$sin(\alpha)=\frac{4}{7}$

therefore

$sin(\alpha)=\frac{4}{7}$

$cos(\beta)=\frac{4}{7}$

Part B) Find $tan(\alpha)\ and\ cot(\beta)$

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$tan(\alpha)=cot(\beta)$

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

$14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132$

$x=\sqrt{132}\ units$

simplify

$x=2\sqrt{33}\ units$

Find the value of $tan(\alpha)$ in the right triangle of the figure

$tan(\alpha)=\frac{8}{2\sqrt{33}}$ ---> opposite side divided by the adjacent side angle alpha

simplify

$tan(\alpha)=\frac{4}{\sqrt{33}}$

therefore

$tan(\alpha)=\frac{4}{\sqrt{33}}$

$tan(\beta)=\frac{4}{\sqrt{33}}$

Part C) Find $sec(\alpha)\ and\ csc(\beta)$

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

$\alpha+\beta=90^o$ ---> by complementary angles

so

$sec(\alpha)=csc(\beta)$

Find the value of $sec(\alpha)$ in the right triangle of the figure

$sec(\alpha)=\frac{1}{cos(\alpha)}$

Find the value of $cos(\alpha)$

$cos(\alpha)=\frac{2\sqrt{33}}{14}$ ---> adjacent side divided by the hypotenuse

simplify

$cos(\alpha)=\frac{\sqrt{33}}{7}$

therefore

$sec(\alpha)=\frac{7}{\sqrt{33}}$

$csc(\beta)=\frac{7}{\sqrt{33}}$

6 0

3 years ago

There are 534 car parking spaces but 478 spaces are occupied,round to the nearest 10

suter [353]

Answer:

60

Step-by-step explanation:

If 478 out of 534 parking spaces are taken, then you will be <u>subtracting</u>. When you subtract 534 and 478 (534-478), then you get 54. Remember 5 and up round to 10. 4 and below round to 0. So 56 rounds to 60 because 6 is greater than 5.

Hope it helps!

8 0

3 years ago

At high school basketball game, the athletic department sold 250 tickets and brought in 837.50. Adult tickets cost $5 and studen

Tpy6a [65]

Answer:

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

Step-by-step explanation:

We will use the given statements to make a system of equations for the given scenario.

First of all we have to decide which variables to be used.

Let a be the number of adult tickets and

Let s be the number of student tickets

So according to the statement that the department sold 250 tickets in total, the equation will be:

$a+s = 250$

This is equation one of the system of equations

According to the statement that cost of adult ticket is $5, total cost of adult tickets will be: $5a$

According to the statement that cost of student ticket is $2.50, total cost of student tickets will be: $2.50s$

The total earning was $837.50 so the second equation will be:

$5a+2.50s = 837.50$

Hence,

The system of equations is:

$a+s = 250\\5a+2.50s = 837.50$

Here a is the number of adult tickets and s is the number of student tickets

7 0

3 years ago

13. Dr. Jones took out a loan for a new medical instrument cleaning system. The interest paid on the loan was $650. The loan was

Ivan

Given that the loan is paid for 24 months or 2 years and the interest rate is 2.75% which is $650. In order for us to find the amount that Dr. Jones borrowed, let us put it this way. ? x 0.0275 = 650. So we divide 650 by 0.0275 and the answer is 23,636.36. Hope this answers your question.

7 0

3 years ago

A center-pivot sprinkler system operated by Colorado Land & Agriculture, Inc., is used to water the alfalfa in a circular fi

omeli [17]

Answer:

The answer is "1.448 miles".

Step-by-step explanation:

X= The distance to both the nozzle clogged from of the starting point.

X $\sim$ Uniform(0,2) miles.

They are simulating the random number Y=0.724, and the Y has both a distribution uniform(0,1). Therefore 2Y is distributed evenly (0.2). And They model the clogging of its nozzle at 2Y=1.448 miles

8 0

2 years ago