What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
OA 9 units, 12 units
OB. 11 units, 10.2 units
OC 4.9 units, 15.8 units
OD 4.9 units, 14.2 units
OE 5.2 units, 14.1 units

Answers

Answer 1

Answer:

D) 4.9 units, 14.2 units

Step-by-step explanation:

I assume that we will be using trigonmetry as this is a right triangle

The two ratios that will be used are CAH (Cosine = adjacent/hypotneuse)

and SOH (Sine = opposite/hypotneuse)

While it does not matter which acute angle the problem is to, I decided to set up the triangle like so in the picture attached

This means x = adjacent and y = opposite here

Now we just need to plug in the numbers to find the missing variables

x) cos(19) = x/15

(15)cos(19) = x/15(15)

~14.2 = x

y) sin(19) = y/15

(15)sin(19) = y/15(15)

~4.9 = y

Hope that helps a bit

I took waaay too long to explain this lol

What Are The Lengths Of The Legs Of A Right Triangle In Which One Acute Angle Measures 19 And The Hypotenuse
Answer 2

The value of x for the triangle is 14.2 and the value of y is 4.9. The correct option is D.

What is trigonometry?

Trigonometry is the branch of mathematics that establishes a relationship between the sides and angles of a right-angle triangle.

The mathematical trigonometric functions, sometimes referred to as circle, angle, or goniometric functions, relate the angle of a right-angled triangle to the ratios of its two side lengths.

Calculate the value of x as below,

xcos(19) = x/15

(15)cos(19) = x/15(15)

14.2 = x

The value of y is calculated as,

ysin(19) = y/15

(15)sin(19) = y/15(15)

4.9 = y

To know more about trigonometry follow

https://brainly.com/question/20726216

#SPJ7


Related Questions

joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?

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Pi r Square:
Circle A’s area is 81pi.
Circle B’s area is 20.2pi, or about 63.42

What is the perimeter of the rectangle in the coordinate plane?


13 units

16 units

26 units

30 units

Answers

26 units is the answers for this questions. To find the perimeter, put a slash in each square. The only squares that will get 2 slashes is the corners

10+3+10+3= 26 units

the perimeter of the rectangle in the coordinate planes is 26 units

Which is the correct factorization of x 2 - 10x -24? please tell me

Answers

Answer:

-2(5x+11)

Step-by-step explanation: you have to find the polynomial

Answer:

ufmmvfjyffvjjghjghncffgghjvdthvdfbn

Emplea los signos <, > o =, según corresponda​

Answers

Answer:

1.≤

2.≤

3.≤

4.≤

5.≤

6.≤

Step-by-step explanation:

di po ko sure kung tama po yan

19 tens is the same
as
Count forward by fives.

Answers

19 tens is 190 but i don’t know what you mean by count forward by fives

Geometric mean of 45 and 15​

Answers

Answer:

30

Step-by-step explanation:

[tex]\frac{45+15}{2}[/tex] equals 30.

Answer:

45 + 15 = 60 divided by 2 is 30

This is the question I need the answer in 24 house or less please and thank u

Answers

Answer:

Vertex: (–9, 1)

Axis of Symmetry: x = –9

Step-by-step explanation:

x = 9 is the lowest point on the graph. This makes it the x-coordinate of the vertex and the axis of symmetry. Now count how many squares above the x-axis it is. It's 1 square above, right? This means the vertex is (–9, 1).

Hope this helps you. Have a great day!

HELP NOW PLEASE!!!!! I will give 100 points to whoever will answer this question first

Answers

Answer:

D : 10 feet

Step-by-step explanation:

Hello I think I can help with this.

Now how I would do this given a multiple choice question is kind of use brute force with your given answers to find the solution.

So the formula for area is known as (L x W x H)

or (length x width x height)

Lets see what we are given.

We are given the length which is 12

We are also given the width which is 4 1/2

And if we multiply these we can find the surface area of the base of this rectangular prism so lets do that.

12 multiplied by 4 1/2

=

54

Alright so now we know the base of this rectangular prism is 54 ft²

Now we can start the brute force method. So we are trying to find the height in this problem since we already have the width and length and have worked that out. So now all we do is multiply what we found (54) by the possible answers until one of them gives us the answer 540 ft³.

NOW this is actually really easy because we got 54 as our answer to length x width and our total amount of area is 540.

So instead of brute force we can take an easier route and do 540 / 54 and get an easy answer of 10 which is option D :

10 feet

I hope this helps you understand this a bit better!

If you are confused or have any concerns / questions feel free to comment or message me :)

Answer:

Height = 540/(4.5*12) = 10 feet

Step-by-step explanation:

to find the value of r, Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). How could this help Stephen reason the value of r? Explain your reasoning.

PLZ HELP ASAP

Answers

Answer: See explanation

Step-by-step explanation:

We are informed that Stephen rewrites 3r - 18 = 27 as 3(r - 6) = 3(9). This is quite thoughtful of Stephen and it's an easier way to solve the question.

In this case, 3 is a common factor to 3r, 18 and 27. Therefore, we will then have: 3(r - 6) = 3(9).

Since 3 is a common base to both, we are more concerned with the values inside the brackets. This will be:

r-6 = 9

r = 9 + 6

r = 15

Check: 3r - 18

3(15) - 18 = 45 - 18 = 27

Help ASSp please work out the value of A

Answers

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69

Answers

Answer:

rupees 14.69

Step-by-step explanation:

rupees 14.69

I hope this answer correct

Find the area of the triangle.
3 yd!
2.
12 yd
The area of the triangle is
square yards.

Answers

Area is 18 yards hoped this help

what is 445 + (67 x 958) x (3n - 31) x 67

Answers

Step-by-step explanation:

1

9

2

5

5

8

6

7

1

9

8

9

7

6

6

6

7

+

4

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A color printer prints 23 pages nine minutes how many minutes does it take per page

Answers

Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

express (4+7i)(2-i) in the form a+ib​

Answers

(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

you add 1 to 5 and then you find y but on x you multiple t



A road is 3/5
of a mile long. A crew needs to repave 3/7
of the road. How long is the section that needs to be repaved?
Write your answer is simplest form.

Answers

Answer:

9/35

Step-by-step explanation:

3/5 x 3/7

simplify 7/341 and give step by step explanation! I will mark you a brainliest.​

Answers

Answer:

it can't be simplified

Step-by-step explanation:

Yep. It cannot be simplified.

Pls help me with this

Answers

Answer:

the third one!

Step-by-step explanation:

Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:

1/2 + x

Then it says those two numbers equal to 4, so it would look like this:

1/2 + x = 4

Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:

1/2  +  x  =  4

-1/2            -1/2

1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3  1/2), so x would be  3  1/2

x = 3 1/2

Hope this helped. If this is incorrect please specify so I can help :)

5 - x/3 for x = -3

Evaluate the expression

Answers

The answer is 6. When x is -3 then you divide -3 by 3 and the quotient is -1. So 5-(-1) is also equal to 5+1 which equals 6

Please help this is due today!

Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why: Example cannot be determined

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

They are congruent by opposite exterior angles

RST is congruent to UVT

UV is congruent to SR

x+y+x=22
a+a+x=28
y+2y+2a=38
2y*x*2a=?
there are no 0, negative number, or fractions
solve for all variables

Answers

x = 8
y = 6
a = 10
? = 1920

x + y + x = 22
8 + 6 + 8 = 22

a + a + x = 28
10 + 10 + 8 = 28

y + 2y + 2a = 38
6 + 2(6) + 2(10) = 38

2y * x * 2a =
2(6) * 8 * 2(10) = 1920

When you graph two lines to a system what are the 3 possible outcomes?

Answers

Answer:

infinite solution, one solution, no solution

Step-by-step explanation:

hope this helped:)

Write an expression to represent “7 less than 6 times a number n.”

Answers

Answer:

7 < 6n

Step-by-step explanation:

Answer:

6n-7

Step-by-step explanation:

7 Less = -7

6 x n = 6n

Combine an expression we get 6n - 7

how would i solve this?
i+i^2+i^3+i^4+i^5+i^6+i^7+i^8+i^9+i^10

please do a step by step process

Answers

Step-by-step explanation:

step 1. I assume i is imaginary

step 2. i^2 = -1, i^3 = -i, i^4 = 1, i^5 = I. . . . and so on

step 3. i - 1 - i + 1 + i - 1 - i + 1 + i - 1

step 4. the result is i - 1.

What is x + x in the mathematics

Answers

Answer:

X+x =2x

Step-by-step explanation:

I think this ans may help you

Answer:

2x

Step-by-step explanation:

x + x also equals x times 2

Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6

Answers

Answer:

D

Step-by-step explanation:

It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67

so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.

Exit
Justin is going to the school dance. He went to the mall and bought two new shirts for $21.99 each and a new pair of dress shoes for $45.59. Which two operations would be used in order to figure out how much he spent at the store?
A. multiply and add
B. add and subtract
C. multiply and subtract
D. divide and add

Answers

Answer:

its letter A multiply and add

A) I believe is the correct answer

John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21° About how far does John ski down the mountain?

Answers

John will ski down the mountain 1285.37ft

14) x - 27 0
3
X^3-27=0
X^3-27=0

Answers

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

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