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
yaroslaw [1]
3 years ago
13

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?

Mathematics
2 answers:
stich3 [128]3 years ago
8 0
The legs of a triangle with a hypotenuse that measures 15 units long have lengths that are equal to 15 times the sine or cosine of the given angle.
                      leg 1 = (15 units) x (cos 19) = 14.18 units
                      leg 2 = (15 units) x (sin 19) = 4.88 units
The lengths of the legs are 14.18 units and 4.88 units. 
Anarel [89]3 years ago
3 0
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.
You might be interested in
During a thunderstorm​ yesterday, 600 millimeters of rain fell in 30 minutes. What is the unit rate for millimeters per​ minute?
blagie [28]

Answer:

I think it would be 50 millimeters per second

Step-by-step explanation:

600/30

7 0
3 years ago
Read 2 more answers
Can somebody please help me with this problem please
Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

6 0
3 years ago
Read 2 more answers
M is between points C and Q. CM=17 and CQ=21. What is MQ?
katrin2010 [14]
Sometimes it helps to draw it out...

     (17)
C_______M_________Q
|___________________|
             21

therefore, CM + MQ = CQ
17 + MQ = 21
MQ = 21 - 17
MQ = 4 <===
8 0
3 years ago
Read 2 more answers
Find the length of the third side of each triangle
LuckyWell [14K]

Answer:Where is the picture?

Step-by-step explanation:

5 0
3 years ago
Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-pound box of crackers for $4.68. The unit price at P
Vesna [10]

Answer:

The unit price at Price-Club is $0.2158 per ounce.

The unit price at Shop Mart is $0.2925 per ounce.

Step-by-step explanation:

Price Club:

12-ounce box of crackers for $2.59

So

12 ounces - $2.59

1 ounce - x

12x = 2.59

x = \frac{2.59}{12}

x = 0.2158

The unit price at Price-Club is $0.2158 per ounce.

Shop Mart:

1-pound box of crackers for $4.68.

1 pound is 16 ounces. So

16 ounces - $4.68

1 ounce - x

16x = 4.68

x = \frac{4.68}{16}

x = 0.2925

The unit price at Shop Mart is $0.2925 per ounce.

8 0
3 years ago
Other questions:
  • A circle is the collection of points ina plane that are the same distance from the radius.
    11·2 answers
  • What is the value of m (5m+100)
    11·1 answer
  • Which inequality best represents the situation? A bamboo stalk grows at a rate of 3 centimeters per day. Lisa plants a 9-centime
    15·1 answer
  • Lines and m are parallel. Lines and are transversals. What is m&lt;1 if m&lt;4 =65 degrees ? Justify your answer.
    10·1 answer
  • Can you guys help please
    12·1 answer
  • Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in
    5·1 answer
  • Solve for p<br> -6p+3=21<br> p=what
    12·2 answers
  • 4+5(p-1) =34 solve it fast <br>​
    10·1 answer
  • Writing an Equation from a Graph
    15·1 answer
  • Graph the function f(x)=-3x+1.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!