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
BlackZzzverrR [31]
3 years ago
6

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

You might be interested in
Which equation represents a line through (-4, 3) that is perpendicular to y=x+7?
Oksana_A [137]

Answer:

B. y = -x - 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

Plug the slope and the given point into y = mx + b to find b:

y = mx + b

3 = -1(-4) + b

3 = 4 + b

-1 = b

Then, plug this and the slope into y = mx + b

y = -x - 1

So, the correct answer is B, y = -x - 1

7 0
4 years ago
Find the 96th term of the arithmetic sequence <br> -3, -14, -25, ...
lana [24]

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

4 0
3 years ago
State the dimensions of the matrix. identify the indicated element​
dalvyx [7]

Answer:

A

Step-by-step explanation:

In a matrix we go by row, then column so 2 rows and 3 columns

6 0
3 years ago
A car is traveling at a rate of 72 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil
nataly862011 [7]

<u>Answer: </u>

The car’s rate in kilometer per minute is 1.2 kilometer/minute and in 20 min it can travel 24 kilometer

<u>Solution: </u>

It is given that it can travel 72 kilometer per hour.

We know 1 hour = 60 min

So, the car travels in

60 min = 72 hour

1 \min =\frac{72}{60} \text { hours or } \frac{6}{5} \text { hours or } 1_{5}^{1} \text { hours. }

Thus the cars rate in kilometer per minute is \frac{6}{5} is 1.2 kilometer per minute.

Now we know in 1 minute the car can travel 1.2 kilometer.

Therefore in 20 minutes it will travel 1.2 \times 20 kilometers= 24 kilometers

5 0
3 years ago
Find the area under the standard normal curve between z = −2.57 and z = 1.27. Round your answer to four decimal places, if neces
dexar [7]
P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)

P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512

P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)
4 0
3 years ago
Other questions:
  • How do u write the expanded form on 8374 using exponential notation
    9·2 answers
  • A. 3.4
    14·1 answer
  • GETS BRAINILIST!!!!The table shows the relationship between the number of drops of food color added to different number of cups
    5·1 answer
  • The last part is function but need help asap
    10·1 answer
  • please help I'll love you. if you were to build a histogram of these data which of the following would be the best choice of cla
    10·2 answers
  • Help again and thanks..........
    12·1 answer
  • Jane wants to pick out an outfit for the school dance
    14·1 answer
  • Which of the following characteristics best describes the given function of f(x) = 3x - 6?
    9·1 answer
  • PLS PLS I NEED HELP I HAVE NO TIME I'LL MARK YOU BRAINLIST !!!
    11·2 answers
  • PLS HELP ASAP.........
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!