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
34kurt
3 years ago
14

Please someone explain to me how to do this question??

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

a)    x = 6

b)  0.2 radians.

Step-by-step explanation:

I ran out of time and the system logged me out so I'll start again:

a) Find the lengths of the arcs in terms of x and Ф:

arc SP = radius * Ф = 10Ф

arc TS = 10*3Ф = 30Ф

arc PT = 10Ф+30Ф = 40Ф.

arc QR = (10 + x)Ф

QR/PT = 2/5 so:

2/5 =  (10 + x)Ф / 40Ф

Cross multiply:

80Ф = 50Ф + 5xФ

5xФ =  30Ф

x = 6.

b)

The area of a sector = radius^2 * angle in radians.

The shaded area = area of arc QOR - area of arc POS:

31.2 = (10 + x)^2 Ф - 10^2 Ф

x = 6 so:

16^2  Ф - 100 Ф = 31.2

Ф = 31.2 / 156

= 0.2 radians.

You might be interested in
Please help me no links
Sauron [17]
Its 81 good job on the question
8 0
3 years ago
Read 2 more answers
Middle school math please help, thank you!
kipiarov [429]

Answer:

D

Step-by-step explanation:

the hypotenuse is ALWAYS the longest side in a right triangle

7 0
3 years ago
Read 2 more answers
If h(x) = -2x – 10, find h(-4).<br> -2<br> -18<br> -3<br> -16
Furkat [3]

Answer:

-2

Step-by-step explanation:

replace x with -4 in the h(x) function

h(x) = -2x-10 ➡ h(-4) = (-2)×(-4)-10 ➡8-10 = -2

5 0
3 years ago
Read 2 more answers
Read John Muir's "Calypso Borealis" and answer the question. [1] After earning a few dollars working on my brother-in law's farm
skelet666 [1.2K]

Answer:

I think it's the third one

Step-by-step explanation:

Sorry if incorrect

hope this helps!

8 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
BARSIC [14]

It be 81.

You have to take half of -18 which is -9, and square that, which is 81.

8 0
3 years ago
Other questions:
  • There are 720 sheets of colored paper. 1/3 is red, 3/8 is yellow, 1/12 is blue and the rest is green. How many sheets of red, ye
    7·2 answers
  • 4+8+12=3x8 the next equation is
    7·1 answer
  • The 50-km walk is the longest track race even at the Olympics. To the nearest mile, about how long is the race in miles? Explain
    8·2 answers
  • Can someone help me out? what comes next?
    7·2 answers
  • *WILL GIVE BRIANLIEST*(8.03 LC)
    15·2 answers
  • In ΔPQR, the measure of ∠R=90°, RP = 57 feet, and QR = 93 feet. Find the measure of ∠P to the nearest tenth of a degree.
    11·1 answer
  • What is x, the length of the diagonal, to the nearest whole number
    6·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    8·2 answers
  • Can anyone share the process please? ​
    10·1 answer
  • What is the value of x
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!