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
vlabodo [156]
2 years ago
15

Find the lengths of sides marked with variables (x, y, w, z). Show all work

Mathematics
2 answers:
natita [175]2 years ago
6 0

Answer:

  • 1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use <u>trigonometry</u> to solve for unknowns.

<h3>1) Use sine</h3>
  • <em>sine = opposite leg / hypotenuse</em>
  • sin 27° = x/42
  • x = 42 sin 27°
  • x = 19.07 m (rounded)

<h3>2) Use tangent</h3>
  • <em>tangent = opposite leg / adjacent leg</em>
  • tan 23° = 34/x
  • x = 34 / tan 23°
  • x = 80.10 ft

<h3>3) Use cosine</h3>
  • <em>cosine = adjacent leg / hypotenuse</em>
  • cos 48° = 38/x
  • x = 38 / cos 48°
  • x = 56.79 m (rounded)

tiny-mole [99]2 years ago
4 0

#1

  • sin27=x/42
  • x=42sin27
  • x=19.07m

#2

  • tan23=34/x
  • x=34/tan23
  • x=80.1ft

#3

  • cos48=38/x
  • x=38/cos48
  • x=56.79m
You might be interested in
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the
siniylev [52]

Answer:

1/5

Step-by-step explanation:

since there is 5 sons they divide the land in 5.

4 0
3 years ago
Which is the image of (-2, -5) reflected across X=2? <br> (-6, 5) <br> (-2,9) <br> (6,-5) <br> (2,9)
Sedbober [7]

Answer:

(6,-5)

Step-by-step explanation:

As the point is 4 units to the left of X=2, the reflection must be 4 units to the right of X=2

4 0
3 years ago
Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c
Mariulka [41]

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

4 0
3 years ago
A peregrine falcon can fly 322 kilometers per hour.how many meters per hour can the falcon fly
vivado [14]
The falcon can fly 322,000 meters per hour.

1 kilometer is 1000 meters, meaning you would multiply 322 by 1000 equaling 322,000.
5 0
3 years ago
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

6 0
3 years ago
Other questions:
  • What is the inverse of the logarithmic function f(x)=log9x?
    10·2 answers
  • Write an ordered pair that would land on the:<br><br> x-axis______<br><br> y-axis______
    12·1 answer
  • Which of the following expressions represents the sum of a number and three is divided by two? 2 ÷ x + 3 2 ÷ (x + 3) (x + 3) ÷ 2
    11·2 answers
  • I need help on this question plz
    10·1 answer
  • Its at the tip of my mind, but I just can’t solve it.
    10·1 answer
  • Make another Fibonacci sequence.This time start with:0,2,...​
    12·2 answers
  • Diego scored 426 points by collecting 6 coins. After collecting a total
    13·2 answers
  • I’ll give the Brainliest to whoever answers this question with a reasonable explanation.
    14·1 answer
  • a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood c
    14·1 answer
  • After restocking the vending machines, Efrain determined that 2 out of every 5 packages of candy sold were M&amp;M'S®. The vendi
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!