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
Zanzabum
3 years ago
15

Which measurement is closest to the measure of segment W Z?

Mathematics
1 answer:
noname [10]3 years ago
6 0
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
You might be interested in
Seven days ago, the gas tank on Rosa’s vehicle was filled with 25 gallons of gasoline. Today there are 11 gallons of gasoline. W
uysha [10]

Answer:

-14

Step-by-step explanation:

You can find the amount of change by subtracting the original amount from the new amount.

11 - 25 = -14

Overall: Appropriate answer is, -14.

6 0
2 years ago
A string of decorative lights is 28 feet long. The first light on the string is 16 inches from the plug. If the lights on the st
lilavasa [31]
Well if there is 28 feet, that would be (12x28) 336 inches,  and 16 inches between the plug and the first light, there would be only 320 inches left for lights. therefore, if there are 4 inches between each light, we divide 320 by 4.  the answer we get is 80. there are 80 lights.
7 0
3 years ago
When factored completely, <br> X^3-7x^2-30x
sweet-ann [11.9K]

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

5 0
2 years ago
Please help! thanks :)
jeka94

Answer:

B- 583

Step-by-step explanation:

6% of 550 is 33. So, you just add 33 to 550 which equals 583.

Your welcome!

3 0
2 years ago
Which of the following rates is proportional to $2.50 for 5 cans?
MAVERICK [17]
A, divide 2.5 by 5 and you get 0.5, multiply that by 9 and you get 4.5. A is the answer
4 0
3 years ago
Read 2 more answers
Other questions:
  • You have a realized income of $3,264.71/month. Your housing and fixed expenses are 36% of your monthly realized income. You want
    7·1 answer
  • There are 37 student that are riding in cars for a field trip. If a car can carry 4 students, how many cars are necessary to tak
    7·1 answer
  • A circle has a radius with endpoints at(2,5) and (-1,-4).Find the circumference and area of the circle.
    8·1 answer
  • Which property of real numbers is shown below?
    14·2 answers
  • ALGEBRA 2 word PROBLEM HELP ME PLEASE !!!
    6·1 answer
  • Help me with question 4. and 5. for 100 points and brainlyest to the first answer
    6·2 answers
  • If f'(x) = 3(x+5) +-, what is ffa + 2)?
    8·1 answer
  • Which equation is represented by the graph below? choices in picture ​
    15·2 answers
  • PLEASE HELP!!
    11·1 answer
  • Question 10 of 10
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!