Answers
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Related Questions
What is the midpoint of the longest side of the triangle with vertices (1, 4), (3, 4),
and (3, 6)?
A (1, 1)
B (2, 4)
C (2, 5)
D (3, 5)
Answers
Answer:
C
Step-by-step explanation:
midpoint x= 2
midpoint y=5
Midpoint= (2, 5)
What are the roots of g(x)=(x−1)(x+3) ?
Answers
Explanation: the roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve the x
Answer:
1 and 3
Step-by-step explanation:
( x - 1 ) ( x - 3 ) = 0
x - 1 = 0
x = 1
x - 3 = 0
x = 3
The roots are 1 and 3.
A fair coin is flipped twice.
What is the probability that the coin will land heads up both times?
Answers
Answer:
d 0.50
Step-by-step explanation: hope it does help
Answer:
C. .25
Step-by-step explanation:
Find the simple interest to the nearest cent.
$300 at 7.5% for 5 years
Answers
Answer:
$412.5
Step-by-step explanation:
7.5*5=37.5
300*0.375=112.5
300+112.5=412.5
Betty babysat for 3 hours each night for 12 nights. She earned a total of $288 babysitting. Betty wants to calculate her hourly rate. How much did Betty earn per hour babysitting?
Answers
Answer:Betty earned $8 per hour babysitting
Step-by-step explanation:
Number of hours worked per day =3
Number pf nights worked =12
Number of hours wored for 12 nghts =3x12=36hours
Now if 36 hours earned her $288
1 hour will earn her=( 288 x 1) / 36 = 8 hours
What is the shape of the base of a pentagonal right prism?
A. octagon
B. hexagon
C. pentagon
D. rectangle
Answers
Answer:c
Step-by-step explanation:
Answer:
C) Pentagon
Step-by-step explanation:
The dimensions of a right rectangular prism are
3/4 m, 1.89 m, and 3 m.
What is the volume of the right rectangular prism? Use the formula
V =l x w x h.
A. 1.4175 m3
B. 2.25 m3
C. 4.2525 m3
D. 5.64 m3
Answers
Answer:
c
Step-by-step explanation:
I saw some one else answer the same question and I also get that's same answer lol
The length of the missing side
Answers
Answer:
There is no image or context
Step-by-step explanation:
Sorry, message me back. I am sure I can asnwer your question.
**URGENT!!! 30 POINTS & BRAINLIEST
An experiment is conducted to estimate the difference in work productivity for employees under two conditions: with and without music playing in the background. Twenty employees volunteered to be part of the study. Ten of the volunteers were randomly assigned to work for one week with music playing in the background. The other 10 volunteers worked for one week without music playing in the background. Productivity is measured by counting the number of units produced for the week. Here are dotplots, which display the data: (See attached image)
The conditions for inference have been met. What is the correct 99% confidence interval for the difference in the population means (without – with)?
A. (1.370, 7.430)
B. (1.445, 7.355)
C. (1.525, 7.275)
D. (1.597, 7.203)
Answers
Answer:
C. (1.525, 7.275)Step-by-step explanation:
correct on edge 2021
A building contractor examined 6 floor joists in a home and found that they had the following widths:
9 inches 8 inches 7 inches 6 inches
9 inches 9 inches
What was the mode of the floor joist's widths?
A9 inches
B 8 inches
6 inches
Answers
Answer:
Step-by-step explanation:8 inches
89 is the answe 89
There are 280 pieces of fruit in a fruit salad. There are twice as many raspberries as blueberries, three times as many grapes as cherries, and four times as many cherries as raspberries. How many cherries are there in the fruit salad?
Answers
Answer:
64 cherries
Step-by-step explanation:
Given that
There are 280 pieces of fruit in a fruit salad
There are twice as many raspberries as blueberries,
three times as many grapes as cherries,
and four times as many cherries as raspberries
We need to find out the number of cherries in the fruit salad
So,
Let us assume the blueberries be x
So, the raspberries be 2x
Cherries be 8x
And, grapes be 24x
Now
x + 2x + 24x + 8x = 280
35x = 280
x = 8
hence, the No of cherries in the salad
= 8 x
= 8(8)
= 64 cherries
I need help.asap pls
Answers
Answer:
31.4 in.
Step-by-step explanation:
10 ÷ 5 = 2
2 × 3.14 × 5
31.4
I’m having doubts about my homework, am I correct?
Explain :)
Answers
Answer:
All Correct, 3rd question is 30
Step-by-step explanation:
parallelogram area: base*height
rectangle area: length*width
Answer:
Step-by-step explanation:
1 & 2 look good
3) 5 *6 = 30
4) looks good
help please i need it asap
Answers
Answer:
D. Not here
Step-by-step explanation:
Please see the attached image.
This shape is a parallelogram. The area of a parallelogram is the base times height.
11*6=66
The answer is not here.
Rewrite the expression as a single logarithm:
log 5 - log 7
Answers
Answer:
-0.146
Step-by-step explanation:
log 5 = 0.699
log 7 = 0.845
Answer:
i answered u in your before question go check it
Step-by-step explanation:
MAY SOMEONE HELP PLZ!
Answers
Answer:
First pic
[tex]ratio = \frac{62.8}{2 0} \\ = 3.14[/tex]
Second pic
[tex] < c + 2x + (3x + 10) = 180 \\ < c = 180 - 3x - 10 - 2x \\ < c = 170 - 5x[/tex]
Answer:
Step-by-step explanation:
#1Circumference equation:
C = πdCircumference to diameter ratio is:
C/d = π = 3.14Same result comes from the tableCorrect choice is B#2Sum of angles of a triangle is 180°
m∠A + m∠B + m∠C = 180°A and C are equal angles as opposite sides are congruent.
2(3x + 10) + 2x = 1806x + 20 + 2x = 1808x = 160x = 20m∠C = 3*20 + 10 = 70°a family of 4 went to a lacrosse game and spent a total of $74. they each had a hot dog, popcorn, and a soda. a hot dog cost $3, popcorn costs $1.50 and a soda cost $2. what was the cost of each ticket?
Answers
Answer:
12$
Step-by-step explanation:
74 - 4(1.50+3+2) = 48
48 / 4 = 12
hello help!!! i think i already what the answer is I just need to make sure
which of the following statements are true?
1) all complementary angles have a sum of 180°
2) supplementary angles are two acute angles
3) complementary angles are never congruent
4) two right angles are always supplementary
Answers
Answer:
4
Step-by-step explanation:
Which of the following are graphs of functions?
Answers
What is the equation of the line that passes through the points (-6,-5) and (-3,0)?
Answers
Answer:
y--3=5(x--6)=5x-y+27
Step-by-step explanation:
mrk me brainliest plz
How far from the base of a house should you place an 18-foot ladder if it is to reach a window that
is 15 feet high?
Answers
What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?
Answers
A hemisphere is half a sphere so 1/2*4/3 pi r^3 = 2/3 pi r^3
Given diameter = 12.6 but we need radius so diameter /2 or 12.6/2 r=6.3
2/3*pi*6.3^3 =
2/3*pi*250.047
166.698*pi
= 523.7
Can anyone help me with this? Will give brainliest
Answers
Answer:
i suck at math but cute pfp<3
Step-by-step explanation:
Answer:
The answer should be 16
Step-by-step explanation:
You find the ratio of WX to XY, which is 32:16
The triangles are congruent, so the ratio's should be the same. Therefore, VW is 16
Find the measure of ∠B of an angle with 36 as one angle
Answers
Answer:
144
Step-by-step explanation:
180 - 36 = 144
Name all things on the list that are renewable or nonrenewable
A coal
B natural gas
C oil
D sunlight
E water
F wood
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Coal is nonrenewable
Natural gas is renewable
oil is nonrenewable
sunlight is renewable
water is renewable
wood is renewable
7. {MCC.7.G.3} Name the cross sectional area below. *
Right Triangle
Isosceles Triangle
Diamond
Scalene Triangle
I need help!!
Answers
Looking at the picture it seems that both slant height are the same.
Find the area of the figure.
6 in.
6 in.
8 in.
4 in.
10
Answers
Answer:
68 in.
Step-by-step explanation:
Multiply 4 by 8 and get 32
Multiply 6 by 6 and get 36
Add 38 and 36
=68
Answer:
92 square inches.
Step-by-step explanation:
4 × (6+8) + (6×6)
ill give brainliestt help?
Answers
Answer:
the middle slab is 10 cubic feet
Step-by-step explanation:
because if you measure it it is 2 more cf
please can i have brainliest
Answer:
6 cubic feet
Step-by-step explanation:
bc he said he used 14 cubic feet of cement and the total of the squares are 8 so u find the difference of 8 and 14 which is 6
I HOPE this HELPSS
what is the area of the triangle
(-6,6)
(-2,6)
(-5,-3)
Answers
Answer:
(-2,6)
Step-by-step explanation:
idek but you didn't give us a picture
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
c