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
hichkok12 [17]
3 years ago
15

Please help need ASAP

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answers:

  • side AT = 36.122997  (approximate)
  • side TR = 14.692547  (approximate)
  • angle T = 66 degrees

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

Explanation:

We'll use the cosine ratio to find side AT

cos(angle) = adjacent/hypotenuse

cos(A) = AR/AT

cos(24) = 33/AT

AT*cos(24) = 33

AT = 33/cos(24)

AT = 36.1229971906996

AT = 36.122997  approximately

---------------------------------

We could use the sine or tangent ratio to find side TR, but let's use the pythagorean theorem instead.

a^2 + b^2 = c^2

(AR)^2 + (TR)^2 = (AT)^2

33^2 + (TR)^2 = (36.1229971906996)^2

1089 + (TR)^2 = 1304.8709260393

(TR)^2 = 1304.8709260393 - 1089

(TR)^2 = 215.8709260393

TR = sqrt(215.8709260393)

TR = 14.6925466151821

TR = 14.692547  also approximate

---------------------------------

We could use any of the trig ratios of sine, cosine, or tangent to solve for angle T.

However, it's easiest to take advantage of the fact that angles A and T are complementary.

So,

A+T = 90

T = 90-A

T = 90-24

T = 66 degrees

This value is exact.

You might be interested in
Find the range, median, first and third quartiles, and interquartile range for each data set OF THE NUMBERS 52 72 96 21 58 40 75
Andrej [43]

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

4 0
3 years ago
2(3x+8)=6x+16<br> how many solutions does this equation have
Kisachek [45]

Answer:

infinite

Step-by-step explanation:

infinite

but solving for it we can get

3x + 8 = 3x + 8 (divided both sides by 2)

3x = 3x (subtracted 8)

x = x

1 = 1

therefore, for all values of x, the equation will be true so there are

infinite solutions

4 0
3 years ago
Graph the equation: y = -4x + 1 <br><br> Please explain this to me, I keep getting it wrong
Westkost [7]
Start on (0,1) go down 4, and over 1
3 0
3 years ago
I don’t understand because I’m not good with money
lakkis [162]
So you divide 12.00 by 0.75 and you get 16 which is the number of cookies he sold.
4 0
3 years ago
Evaluate the expression. 32 ÷ 8 · 4 A. 1 B. 8 C. 16 D. 64
Komok [63]
The answer is 16 I meant srry couldn't read it
5 0
3 years ago
Other questions:
  • Which expression represents the inverse of y=3x-12?
    10·1 answer
  • Jared made 4 bird houses in 3 days.how many days will jared work to make 20 bird houses
    7·1 answer
  • an 8th grade slacker only has $51.26. he never dies his homework either and has to pay a 7th grader $5 for each math assignment
    13·2 answers
  • A side of one polygon is 18 meters and the corresponding side of a second similar polygon is 24 meters. If the perimeter of the
    7·1 answer
  • Match each equation with the number that makes it true.
    6·2 answers
  • Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot
    12·2 answers
  • Solve for x. PLEASE SHOW WORK
    10·1 answer
  • Of 1936 people so came into a blood bank to give blood, 200 people had high blood pressure. Estimate the probability that the ne
    9·1 answer
  • A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 met
    5·1 answer
  • If a 50-inch flat-screen now costs $1200, what will it cost in three years?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!