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
Evgen [1.6K]
3 years ago
6

in a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5cm. what is the length of the

hypotenuse?
Mathematics
1 answer:
frutty [35]3 years ago
5 0

ANSWER

7.8cm

EXPLANATION

Given an acute angle of the right triangle to be 40°, the two sides of the triangles involve are the opposite side and the hypotenuse.

The trigonometric ratio that, involves opposite side and the hypotenuse is the sine ratio.

\sin(40 \degree)  =  \frac{opposite}{hypotenuse}

\sin(40 \degree)  =  \frac{5}{hypotenuse}

hypotenuse =5÷sin(40°)

hypotenuse=7.77cm

You might be interested in
Geometry PEOPLE HELP
White raven [17]

Answer: second option.

Step-by-step explanation:

Given the transformation T:(x,y)→(x-5,y+3)

 You must substitute the x-coordinate of the point A (which is x=2) and the y-coordinate of the point A (which is y=-1) into (x-5,y+3) to find the x-coordinate and the y-coordinate of the image of the point A.

Therefore, you get that the image of A(2,-1) is the following:

(x-5,y+3)=(2-5,-1+3)=(-3,2)

You can observe that this matches with the second option.

6 0
3 years ago
A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression
Papessa [141]

Answer:

<u>This assumes that the question was meant to read:</u>

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (<u>3x+2</u>) centimeters."  <u>And not </u>"A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

<u>If the question was correctly written, then answer is:</u>

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

<u>+ (3x+2) cm</u>

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = <u> +9y^2  + 12 y  + 4</u>

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

                       

8 0
2 years ago
If the weight of 7 sheets of paper is 35 grams, find how many sheets of paper it will take to weigh 1.5 kg
Leokris [45]

Answer:

300 sheets

Step-by-step explanation:

if you divide 35 by 7, you get 5

then divide 1,500 by 5 to get 300.

3 0
3 years ago
Luis wants to buy a skateboard that usually sells for $79.99. All merchandise is discounted by 12%. What is the total cost of th
DIA [1.3K]

Answer:  $75.14

Step-by-step explanation:

to find out how much luis is saving with the discount you do

79.99 * 0.12

and get around 9 ish dollars

after that you do sales tax and get $75.14 dollars hope this helped <3

3 0
3 years ago
I gave ⅓ of my cake to Jan Jan ¼ to pat what fraction of the cake did I give away ​
vitfil [10]

Answer:

1/3

Step-by-step explanation:

Read

8 0
2 years ago
Other questions:
  • kelly has a ribbon that is 60 inches long. she cuts 40% off the ribbon for an art project. while working on the project, she dec
    12·1 answer
  • 5.7x10^7 - 4.5x10^9 ?
    9·1 answer
  • What is the value of x/4y when x=16 and y=2
    13·1 answer
  • F(x)=12x 1. How do you evaluate the function when x is -2, 0 and 3? Please show how you did it!
    14·1 answer
  • A lawn mowing service charges customers a flat fee plus an hourly rate for their services. The expression 55x + 15 is used to ca
    9·1 answer
  • Claim: most adults would erase all of their personal information online if they could. A software firm survey of 651 randomly se
    13·1 answer
  • Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
    6·1 answer
  • I need help please!!!!!!
    15·1 answer
  • What is 18 7/8 -14 7/9
    5·1 answer
  • Enter the value for x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!