In triangle ABC, the measure of C is 90°,
AC=24, and BC=10. What is the value of sin
A?

Answers

Answer 1

Answer:

Sin A = 0.38462

Step-by-step explanation:

From the trigonometric function,

Sin A = [tex]\frac{Opposite}{Hypotenuse}[/tex]  ................... 1

So that, applying the Pythagoras theorem to determine the value of hypotenuse,

[tex]/Hyp/^{2}[/tex] = [tex]/Opp/^{2}[/tex] + [tex]/Adj/^{2}[/tex]

            = [tex]24^{2}[/tex] + [tex]10^{2}[/tex]

            = 576 + 100

[tex]/Hyp/^{2}[/tex] = 676

Hyp = [tex]\sqrt{676}[/tex]

       = 26

The hypotenuse of the triangle is 26.

Thus, from equation 1;

Sin A = [tex]\frac{10}{26}[/tex]

Sin A = 0.38462


Related Questions

A venue manager has a target labor cost of 20% of revenue. He expects revenue to be $725,000. What is his target for labor?

Answers

Answer:

145000

Step-by-step explanation:

100%=725000

20%->145000

The ratio of the sides of a triangle is 2:4:9. If the perimeter is 165 inches, what is the length of the longest side?

Answers

Answer:

99inches

Step-by-step explanation:

The ratio of the sides of a triangle =2:4:9.

perimeter = 165 inches,

Total ratio= 2+4+9=15

perimeter = 165

Divide the perimeter by total ratio

165/15=11

Each of the sides

= (2×11) =22

(4×11) =44

(9×11)=99

the length of the longest side= 99inches

the sum of three times a number (x) and −23 is 28

Answers

Answer:

x=17

Step-by-step explanation:

3x-23=28

3x-23+23=28+23

3x=51

x=17

The park is a rectangular park with an area of 20 square miles. The park is 4 miles wide. What is the length in miles?

Answers

Answer:

5 miles.

Step-by-step explanation:

Because area is just length times width so in that sense 20/4 is 5 :)

How many points did Deven score in his 6th game?

Answers

Answer:

2 is the answer thanks pls give brainliest

PLS HELP ITS DUE IN 3 MINUTES

Answers

Answer:

H 33 degrees

Step-by-step explanation:

9e + 4=5e + 14 + 13e

Answers

Answer:

e = -1

Step-by-step explanation:

1. 9e + 4 = 5e + 14 + 14e

2. 9e = 5e + 10 + 14e

3. 9e = 19e +10

4. -10e = 10

5. e = -1

Hope that helps

Answer:

e - 10

Step-by-step explanation:

1.) We need to manipulate the equation to get e by itself.

2.) To solve the equation, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e (Combine like terms)

9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)

e + 4 = 14 (Combine like terms)

e + 4 - 4 = 14 - 4 (Subtract 4 from each side)

e = 10 (Combine like terms.

3.) Answer: e = 10.

Now lets check our work. To check your work, do the following steps;

9e + 4 = −5e + 14 + 13e

9e + 4 = 14 + 8e

9(10) + 4 = 14 + 8(10)

90 + 4 = 14 + 80

94 = 94

By doing those steps we can confirm the answer, e = 10, is true.

83 is 100% of what number​

Answers

Answer:

83

Step-by-step explanation:

100% is the total, the whole

Answer:

83

Step-by-step explanation:

You have 100%

change that to a decimal

you now have 1.00

multiply 83 by 1

you have 83

Lunch is 7.95 the tax is 10% what’s the total cost

Answers

Answer: ($)8.75

Step-by-step explanation:

To calculate the tax, simply do 10%(0.1)*7.95 to get 0.795, rounding up to 0.80(money typically rounds up).

To calculate the total cost, simply do 7.95+0.80 to get 8.75.

Hope it helps <3

The answer is : 8.745

How can you apply the distributive property to factor out the greatest common factor for 20 - 4k?

Answers

Answer:

4(5-k)

Step-by-step explanation:

Pull out 4 from each number

A carpenter wants to cut a board 4 feet in length into sections that are each
CRIN
feet in length. How many pieces can be cut from the board?
PLEASE HELP

Answers

Please someone answer this

In this triangle, what is sin 30°? What is sin 60°? What is the product of sin 30° and sin 60°?

Answers

Answer:

1800

Step-by-step explanation:

60.30= 1800

The correct answer is 1800

Select all tables that represent a proportional relationship between x and y.​

Answers

Answer:

1 and 2

Step-by-step explanation:

that is the answer

I WIL GIVE BRAINLIST IF CORRECT DON'T GIVE ME A NOT SMART ANSWER OR ILL REPORT IT
Which would be the BEST first step to use to solve this equation?
Problem: 0.15x=5
A. add 0.15 to both sides of the equation
B. divide both sides of the equation by 0.15
C.multiply both sides of the equation by 0.15
D. subtract 0.15 from both sides of the equation

Answers

D bc u are tryna to find x



True or false;
The x-intercept of a function ALWAYS occurs where y is equal to zero.
True
False

Answers

I think the answer is (true)
Have a great day!

The x-intercept of a function always occurs where y is equal to zero is true.

Given,

The x-intercept of a function always occurs where y is equal to zero.

We need to find whether the given statement is True or False.

What is x-intecept and y-interept?

The x-intercept is the point where the line passes through the x-axis.

We need to put y = 0.

The y-intercept is the point where the line passes through the y-axis.

We need to keep x = 0.

Check the statement.

The x-intercept of a function always occurs where y is equal to zero.

This is a true statement because in order to find the x-intercept we need always keep y = 0.

Thus the given statement-

The x-intercept of a function always occurs where y is equal to zero is true.

Learn more about intercepts of a function here:

https://brainly.com/question/14180189

#SPJ2

Which net represents the figure?
Please help

Answers

Answer:

the first one

Step-by-step explanation:

the rest of the options have triangles and a rectangular prism doesnt have any triangle shaped sides. hope my answer makes sense :)

Answer: the one that looks like an upside t or it can be called (A)

Step-by-step explanation:

do the folding in your head

what is the distance from L to M?

A. 100 units
B. 14 units
C. 2 units
D. 10 units

Answers

The anwser is 14 units

Answer:

D. 10 units

Step-by-step explanation:

Using the distance formula:

d = √(x2 – x1)² + (y2 – y1)²

Plug in the values of the points:

d = √(3 – (-5))² + (-2 – 4)²

d = √(8)² + (-6)²

d = √64 + 36

d = √100

d = 10

1 point
In the previous question you found 13% of £270. Now use your answer to
decrease £270 by 13%. *



Sorry for posting again

Answers

Answer:

£234.90

Step-by-step explanation:

270(1-13/100)

lets break it down:

step 1=  13/100=0.13

step 2= 1-0.13=0.87

step 3= 270 x 0.87=234.9

final answer=£234.90

i hope it helps

What is the measure of angle TMS? Pls explain your answer and I will mark brainliest!

Answers

Answer:

38 degrees

Step-by-step explanation:

If the line is tangent that means it forms a 90 degree angle. The angle measure of the inside of a triangle is equal to 180 degrees. If you add 52 and 90 you get 142. Subtract this amount from 180 and you will get the measure of m TMS

a stack of 200 file folders is 5.125 inches tall what is the thickness of each folder?

Answers

Answer:

divide 5.125 by 1

Step-by-step explanation:

done bye

a stack of 200 file folders is 5.125 inches tall what is the thickness of each folder?

0.025625

Which side lengths form a right triangle?

Answers

It’s Will be c I guess

What is the distance (in units) between points C and D? Round to the nearest hundredth.

a. 8.00
b. 5.66
c. 4.00
d. 2.83

Answers

Answer:

b. 5.66

Step-by-step explanation:

Use pyramtherm theorem.

4^2+ 4^2= c^2

16+16=c^2

32=c^2

Sqaure root of 32= 5.65

Rounding up is 5.66

D bc it is the answer and helps

Brandon made 80 cups of lemonade for his party. At the party, 10 cups of lemonade are finished eac hour. How many hours will Brandon's lemonade last?​

Answers

Answer:

8 hours

Step-by-step explanation:

let number of hours it takes to finish the cup be t,

we know that we have 80 cups, and we know we can finish 10 cups per hour so,

10t = 80 which is 10 times t = 80

Solve for t,

10t/10 = 80/10

t = 8

The sum of a number and two times a smaller number is 62 .Three times the bigger number exceeds the smaller number by 116 .
What is the biggest number and the smallest number??

Answers

Answer:

42,10

Step-by-step explanation:

let the numbers be x and y and x>y

x+2y=62

3x-y=116

multiply  by 2

6x-2y=232

add the first

7x=294

x=42

from first

42+2y=62

2y=62-42=20

y=20/2=10

Guys can you please HELP!!?

Answers

= 15 times 12 plus 8

HELP!!BC=
Round your answer to the nearest hundredth.
C
A
50
3
B

Answers

Answer:

answer is 2.30 using sine =opp/hyp

Teammates Pedro and Ricky got 2679 base hits last season. Pedro had 281 more hits than Ricky.
How many hits did each player have?

Answers

9514 1404 393

Answer:

Pedro: 1480Ricky: 1199

Step-by-step explanation:

Let r represent the number of hits Ricky got. Then Pedro's hits were r+281 and their total was ...

  r + (r +281) = 2679

  2r = 2398

  r = 1199

  r+281 = 1480

Pedro got 1480 hits; Ricky got 1199.

_____

Additional comment

The two answers to a "sum and difference" problem are half the sum plus or minus half the difference. Here, those values are (2679/2) ± (281/2). Pedro got more hits, so his number is (2679+281)/2 and Ricky's number is (2679-281)/2, as above.

Here's an interesting point on the graph.
What do these numbers (5 and 12.3) tell us about
Cannon Man?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a 90in 3yd rectangle

Answers

Hello,

Converting 90 in to yd, we have:
90in * 1ft/12in * 1yd/3ft = 2.5 yd

Next,
Since A of a rectangle is b*h,
A = 2.5yd * 3yd = 7.5 yd ^2.

Good luck to you!

16, 6, 12, 5, 12
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
Mean: hours
X Х
?
Median: hours

Answers

Answer:

mean: 10.2

median: 12

Step-by-step explanation:

The median is 12 Bbdhdhdb de dhdndbdbd
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