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
saveliy_v [14]
3 years ago
5

San R APOR is a right triangle. IF RO = 8, what is PO? mios 16

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

PQ = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = \frac{1}{2}, then

cos60° = \frac{adjacent}{hypotenuse} = \frac{RQ}{PQ} = \frac{8}{PQ} = \frac{1}{2} ( cross- multiply )

PQ = 8 × 2 = 16

You might be interested in
A mini basketball court has an area of 500
aivan3 [116]

Answer:

Step-by-step explanation:

let x,y be the sides of court.

2(x+y)=90

x+y=90/2=45

y=45-x

xy=500

x(45-x)=500

45x-x²=500

x²-45x+500=0

x²-25x-20x+500=0

x(x-25)-20(x-25)=0

(x-25)(x-20)=0

x=25,20

when x=25

y=45-x=45-25=20

when x=20

y=45-20=25

sides are 25 ft,20 ft.

8 0
2 years ago
Read 2 more answers
Does the data suggest a linear, quadratic, or exponential model?
oksano4ka [1.4K]
Exponential model because it's increasing rapidly.
4 0
3 years ago
4x-3y=2<br> 3x=5y=16<br> solve using substitution method
vodomira [7]

\left\{\begin{array}{ccc}4x-3y=2&|\text{add 3y to both sides}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}4x=3y+2&|\text{divide both sides by 4}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}x=0.75y+0.5&(*)\\3x+5y=16\end{array}\right\\\\\text{substitute}\ (*)\ \text{to the second equation}\\\\3(0.75y+0.5)+5y=16\qquad\text{use distributive property}\\\\(3)(0.75x)+(3)(0.5)+5y=16\\\\2.25y+1.5+5y=16\qquad\text{subtract 1.5 from both sides}\\\\7.25y=14.5\qquad\text{divide both sides by 7.25}

\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)

7 0
3 years ago
Determine whether each mapping represents a function. Explain your reasoning.
FinnZ [79.3K]

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

4 0
3 years ago
Describe a situation you’re familiar with where one quantity changes constantly in relation to another
Crank

Answer:

One such situation is the amount of money in excess you paid for an item and the amount of change you will get. Another such scenario would be the total numbers of hours with respect to the total number of days. With more days, there will be more time hence more hours.

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • There are 16 sixth graders and 20 seventh graders in the Robotics Club. For the first project, the club sponsor wants to organiz
    12·1 answer
  • Which describes this angle?
    12·1 answer
  • the number of words x tina can type per minute is at least 50. write and graph an inequality to describe this situation
    5·2 answers
  • Is it cheaper to buy 10 single apples or buy them in a bundle of 10?
    6·2 answers
  • Does anyone Know what y = 1.6x + 48?
    5·1 answer
  • Multiply This Expression: -10 ( -a + 5 )
    13·2 answers
  • Sin (x+pi/4) = root2 cos x for 0
    7·1 answer
  • 0= - z/3 + 4<br> Can you help me?
    13·2 answers
  • S 61 – 9u = 10
    9·1 answer
  • Geometry help please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!