Mathematics High School

Use the triangle shown to answer the questions that follow.
15 m
X
32
a) Using the 32° as the reference angle, label the hypotenuse (h), adjacent (a) and opposite (0).
b) Which trig function (cos, sin, or tan) could be used to solve for x?
c) Solve for x.

Use The Triangle Shown To Answer The Questions That Follow.15 MX32a) Using The 32 As The Reference Angle,

Answers

Answer 1

Answer/Step-by-step explanation:

a. Given that 32° is the reference angle, thus:

Hypotenuse is the side opposite to the right angle

Opposite side is opposite to the defence angle = x

Adjacent side is adjacent to defence angle = 15 m

b. Recall SOHCAHTOA.

We know the length of the adjacent side. We are asked to find x, which is the opposite side. So, we are dealing with Opposite side and Adjacent side.

The trigonometric function we will use to find x would be TOA:

That is,

Tan θ = Opp/Adj

c. Applying TOA:

Tan θ = Opp/Adj

θ = 32°

Opp = x

Adj = 15 m

Plug in the values

Tan 32 = x/15

15 × Tan 32 = x

9.37304028 = x

x = 9.4 (nearest tenth)

Related Questions

Which statements are true about the x-intercepts of quadratic functions?
All quadratic functions have exactly one x-intercept.
An x-intercept is located at the point on the function where the value of x is 0.
A quadratic function can have up to two x-intercepts.
An x-intercept of a quadratic function is also called a zero of the function.
If x = 0 is an x-intercept of a quadratic function, then (x + a) is a factor of the function.

Answers

Answer:

Step-by-step explanation:

The following statements are true:

1.  A quadratic function can have up to two x-intercepts.

2.  An x-intercept of a quadratic function is also called a zero of the function

I don’t get this problem at all-

Answers

Answer:

2nd option

Step-by-step explanation:

If AB  is a tangent to the circle then ∠ B is right angle

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right

longest side = 52 and 52² = 2704

48² + (10 + 10)² = 48² + 20² = 2304 + 400 = 2704

Then AB  is a tangent to the circle since ∠ B is a right angle

are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

i consiterd them

Step-by-step explanation:

given g(x)=2(x-4)+7 find 2g(-6)

Answers

Answer:

g(x)=2(x-4)+7

2g(-6)=2[2(-6-4)+7]

=2[2(-10)+7]

=2(-20+7)

=2(-13)

=-26

I need help with some scientific notation problems

Answers

Answer:

1) 4.5 x 10^3 =4,500

2)5.78 x 10^-2

3) 5.7 x 10^1 = 57

4) 6.256 x 10^-3 = 0.006256

5) 7.3 x 10^2 = 730

6) 4.2 x 10^-5 = 0.000042

7) 7x10^-3 = 0.007

8) 2.563 x 10^1

9) 3.0025 x 10^2 = 300.25

10) 1.456 x 10^-1

Hillary, Ashley, Will, and Carlton were planning a surprise anniversary party for Viv and Phillip. The trip was going to cost the kids a total of $8000. Hillary was willing to pay for 30% of the trip. Carlton was willing to pay for ¼ of what Will paid. Will was going to pay for 2/5 of the trip, and Ashley was going to pay for the rest of the trip. a) Create an equation that could be used to determine how much each person paid for the trip. b) Determine how much each person paid for the trip.​

Answers

Answer:

Hillary 2400

carlton 800

will 3200

ashley 1600

Step-by-step explanation:

hillary 30% of 8000 ---- 8000:100×30=2400

will 2/5 of 8000 8000:5×2=3200

carlton 1/4 of will's---- 3200:4=800

ashley: rest, which is 8000-(2400+3200+800)=8000-6400=1600

Anyone know how to answer this question

Answers

Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]

(7y - 23)
(23x - 16)
(8x – 21)

In need of help ASAP

Answers

Hey it will be 7y -23 :$

b. 21.8°
5. Find the measure of the angle to the nearest tenth of a degree.
cos Y=0.5135
30.9
c.

Answers

Measure of angle is 59.1

The Riddle Family has a total monthly budget of $3,400. If the utilities represent 15% of the budget, then how much money is the Riddle Family spending on
utilities each month?

Answers

Answer: $510

Step-by-step explanation:

Total monthly budget = $3,400.

Percentage of total budget spent on utilities = 15%

The amount that the Riddle Family spending on utilities each month will then be:

= 15% × $3400

= 15/100 × $3400

= 0.15 × $3400

= $510

Answer:

0.15 * 3400 = $________ utilities cost per month

Multiply the monthly cost by 12.

Find the area of the semicircle

Answers

Answer:

3.92yd

Step-by-step explanation:

pi r²÷2

pi 2.5²÷2=3.92

Am I right please tell me I really NEED IT

Answers

Answer:

it would 13

Step-by-step explanation:

19-6=13 there you go

How does dating violence affect health? Click all that apply. ​

Answers

Answer:

b. c. d

Step-by-step explanation:

Answer:

Some teens are at greater risk than others.

For example, youth who are victims of teen dating violence are more likely to experience symptoms of depression and anxiety. Engage in unhealthy behaviors, like using tobacco, drugs, and alcohol. Exhibit antisocial behaviors, like lying, theft, bullying, or hitting.

Step-by-step explanation:

Yes  all 3 you choose are correct

Please someone help, I know its kind of a lot, but I need these answers fast pls.
Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.

Answers

Answer:

Im not sure

Step-by-step explanation:

GOOD LOOK ON YOUR TEST HE DISCONN-ECTED

What are the length and width of the rectangle?
(picture included)

Answers

Answer:

a or c

Step-by-step explanation:

I don’t know ask for help sorry don’t blam this on me

A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?

Answers

Answer:

380 cubic inches

Step-by-step explanation:

The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height

I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)

should I be worried about my upcoming exams?​

Answers

Of course! Just study hard, exams are a big part of your grade most of the time! I also have exams

Answer:

i don't know but I am I have them Monday I'm pretty sure I will fail in math but you'll be good

Step-by-step explanation:

brainlyest please I'm trying to get my thing up

what's the total price paid on a softball bat that costs $129.95 with a sales tax rate of 6.5%​

Answers

Answer:

about $84.47

Step-by-step explanation:

6.5%=0.65

129.95x0.65=84.4675

                    =84.47

can someone help with just question 3 and 4 i will give brainliest

Answers

1. No because he read more 30 pages more times than he read less than 30 pages. A good estimate would be 32.

what is the length of LK?

Answers

Answer:

26 i think

Step-by-step explanation:

please help me please will give brainliest ​

Answers

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Which equations are correct? Select each correct answer.
6a5(6a5)=36a25
6b4(−3b4)=−18b8
5x4(4x2)=20x6
3z7(4z2)=12z9

Answers

Answer:  

2, 3, 4,

Step-by-step explanation:

I took the k12 quiz and i remeber putting these as my answer.

Hope this helps!

What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its going to be? Thanks!!!

Answers

With a SSS you’ll only see the little tick marks but on a SAS you’ll see a tick, angle indication, then another tick

Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]

Answers

______________________

1.7. In a Maths class, the girl to boy ratio is 7:5.
If there are 20 boys, how many girls are in the class?
​

Answers

Answer:

28 girls

Step-by-step explanation:

Let total students be ‘X’

No of girls = (X-20)

Girls/Boys=7/5=(X-20)/20

7(20) =5(X-20)

140=5X-100

5X=240

X = 240/5

X =48

So, Total Students are 48

No of girls = (X-20) = 48-20 = 28

Maribel pidio 100 refrescos a una tienda,los de naranja se los vendieron a $35.00 y los de cola a $38.00 si pago en total $3620 cuantos refrescos de naranja pideo

Answers

Answer:

the number of orange sodas be 60

Step-by-step explanation:

Let us assume the orange ones be x

And, the cola ones be y

Now according to the question

x + y = 100

y = 100 - x.........(1)

35x + 38y = $3,620........(2)

Now put the value of equation 1 in equation 2

So,

35x + 38(100- x) = 3620

35x + 3800 - 38x = 3620

-3x = -180

x = 60

Hence, the number of orange sodas be 60

The table shows a students results from spinning the pointer 30 times. Find the experimental probability that the pointer lands in a section with a number greater than or equal to 3.

Answers

Answer:

The answer is 8/15

hope it helps you

answer this question! i am having some trouble in khan..

Answers

The correct answer is 33 days

A ping-pong ball rolls forward 6 meters to the right, and bounces backward 3 meters to the left. It traveled a total displacement of.

Answers

Answer:

a displacement of 3 meters.

Step-by-step explanation:

you move 6 meters to the right, then 3 meters to the left

6 - 3 = 3

displacement is the distance away from the starting point

The ball traveled a total displacement of 3m.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

      <------------6m----------------->

Ball ____________________

                       Ball_________

                             <------3m------>

Distance traveled by the ball.

= 6 m + 3m

= 9 m

Displacement is the shortest distance traveled by the ball.

= 6 - 3

= 3m

Thus,

Displacement is 3m.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Which polygons are similar?

1
2
3
4

Answers

Triangle 1 and 4 are similar using AAA

number one and four.......

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