1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetlanka [38]
3 years ago
7

A right triangle has side lengths 7, 24, and 25 as shown below.

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

You might be interested in
To determine a monthly budget for gasoline, Rachael determines that she can not spend more
IrinaK [193]

The solution of the given inequality is:

x ≤ 15.24

<h3>How to solve the inequality?</h3>

We know that the maximum that she can spend on gasoline is the 12% of $400.

That is:

(12%/100%)*$400 = 0.12*$400 = $48

Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:

x*$3.15 ≤ $48

To solve the inequality, we need to divide both sides by $3.15

x ≤ $48/$3.15

x ≤ 15.24

So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

4 0
2 years ago
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x&lt;6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
BartSMP [9]

Answer:

1 1/4 miles

Step-by-step explanation:

3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4

3 0
2 years ago
Read 2 more answers
What is the slope of the line on the graph?
sattari [20]

Answer:

1/2

Step-by-step explanation:

5 0
3 years ago
Find the prod<br> (4x+5)(5x +9)<br> OA. 0.2
Sedaia [141]

It's simple.

25x²+61x+45

7 0
3 years ago
Other questions:
  • The slope was found using the points (6.4, 117) and (6.6, 120). What is the value of b in the equation of the trend line?
    9·1 answer
  • The doubling time of a population of grasshoppers is 10 days. By what factor does the population of grasshoppers grow in 25 days
    10·1 answer
  • Hayley is considering two gym membership plans. The plans are detailed here.
    7·1 answer
  • A rectangular prism has a length of 4 cm and a width of 5 cm.The volume of the prism is 200 cu cm .The height is unknown.Explain
    9·1 answer
  • 13. Solve –5√ x = –15. A. x = –9 B. x = –7 C. x = 9 D. x = 7
    9·1 answer
  • Whats 92 divided by 2.7
    10·1 answer
  • Find dy / dx for ex + y = y.
    8·1 answer
  • Solve the equation for the specified variable.<br> T= BA-9, for B<br> What does b=
    10·1 answer
  • There are 225 calories in a 45 gram candy bar what is the unit rate​
    11·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!