The measure of central angle XYZ is 1.25 radians.

What is the area of the shaded sector?

Answers

Answer 1
Answer:

Note that a sector is the area bounded by two radii and the included arc. When trying to calculate for the area of the sector, you’ll use the formula A=n/360 (pi)(radius)^2. Remember that the n in the formula refers to the measure of the central angle in degrees. Since the given data in the problem is in radians term, you can convert it by multiplying 1.25 to 180/pi. Then you can now input the converted value to the formula of finding the area of the sector. 

Answer 2
Answer:

Answer:

40

Step-by-step explanation:


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IS 2/6 LESS THAN 5/6
On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer
The distance between Vancouver and Winnipeg is approximately 1850 km in a straight line. The distance on a map is 3.7 cm. Write a scale statement for the map. What scale factor was used to make the map.
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Can anyone help me i appreciate!!!!

What is the greatest common factor of the polynomial below?8x2 - 4x
O A. 4x
O B. 2x
O C. 2x2
O D. 4x2

Answers

Answer:

Step-by-step explanation:

8x^2 - 4x

4x(2x - 1)

GCF is 4x

Please help! forgot how to subtract integers!

Answers

Answer: -15

Step-by-Step Explanation:
1) Reorder the terms
36-51
2) Use the rule: a-b=-(b-a)
-(51-36)
3) Use the algorithm method
51
-36
——
15
4) After simplification, we have:
-(51-36)=-15
5)Therefore, -51+36=-15
-15

Can you use the sss postulate or the sas postulate to prove ABC and AED are congruent ?

Answers

Answer:

Neither SSS nor SAS apply.

Step-by-step explanation:

SSS (Side-Side-Side)-

If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

SAS (Side-Angle-Side)-

If two pairs of sides of two triangles are equal in length, and the included angles are equal in measurement, then the triangles are congruent.

It given in the picture that,

  1. AC = AD (Side)
  2. BC = DE (Side)
  3. m∠BAC = m∠EAD (Angle)

So, ΔABC and ΔAED will not be congruent by either SSS or SAS.

Annual Return...Probability15% ...0.2
20%...0.4
30% ...0.3
35% ...0.1
The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc.

The expected value of the rate of return is ______%.

Answers

Answer: The expected value of the rate of return is 23.5%.

Step-by-step explanation:

Since we have given that

Annual Return                   Probability

15%                                       0.2

20%                                      0.4

30%                                      0.3

35%                                      0.1

We need to find the expected value of the rate of return:

As we know the formula for "Expected value ": E(x)=\sum xp(x)

So, it becomes,

E(X)=15* 0.2+20* 0.4+30* 0.3+35* 0.1=23.5\%

Hence, the expected value of the rate of return is 23.5%.

Calculation:
15%*0.2 + 20%*0.4 + 30%*0.3 + 35%*0.1 = 23.5%

Answer:
The expected value of the rate of return is 23.5%

 

427 rounded to the nearest hundred

Answers

427  to the nearest hundred.

The hundred digit is 4. After the 4, is 2. And 2 is not up to 5, so we round down, by stepping down to zeros.

 ≈ 400 to the nearest hundred
400 because 427 is not closer to 500.

The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the upward speed at release, and s is the starting height. If a quarterback throws a ball from his hand 6 feet in the air at a speed of 25 feet per second, how much time does his teammate have to catch the ball?about 1.45 seconds
about 1.77 seconds
about 6 seconds
about 25 seconds

Answers

Answer about 1.77 seconds.

f(t) = -16 t^2 + 25t + 6

f(t) = height.

hieght = 0 = -16t^2 + 25t + 6

Find t using the quadratic formula,

t = ( - 25 +/- √[25^2 - 4 (-16)(6)] ) / [2*(-16)]

t = [-25 +/- √ (625 + 384) ] / -32

t = [-25 +/- 31.76] / -32.

You will obtain two results one positive and one negative. Take the positive only as the other one has no physical meaning. t = 1.77 s.

B.) about 1.77 seconds