We know that
if ∠WCR=49°
then
measure arc WR=49°-------> by central angle

circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in

if 360°(full circle) has a length of----------> 43.96 in
49°---------------> x
x=49*43.96/360-----> x=5.98 in

alternative method
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in

the answer is
5.98 in

4 0

3 years ago

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Cherise has a bag of marbles for her little sister. It contains 10 orange marbles, 7 yellow marbles, and 3 green marbles. She dr

NemiM [27]

The probability that all marbles are yellow is
(7/20) (7/20) (7/20) = 343/8000

We are given
x = 2 and 3
u = 2.5
s = 0.5

Getting the z score
z = (2 - 2.5) / 0.5 and (3 - 2.5)/ 0.5
z = -1 and 1
The percentage is
1 - 0.1557 = 81.5%

8 0

2 years ago

Please help me with geometry !! Been stuck a while

Nataly [62]

Answer:

area of circle having radius 3

is πr²=π*3²=9π square units

area of circle having radius 2

=πr²=π×2²=4π square units

again

area of big circle having radius [3+2]=5 units

=πr²=π×5²=25π square units

Now

area of shaded region=25π-4π-9π=12π or 37.7square units.

4 0

2 years ago

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What is the image point of (-7,1) after a translation left 4 units and down 5 units?

irina1246 [14]

The final point should end up at (-11,-4)

7 0

3 years ago