Answers
Answer:
r = 9 units
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
Write 9x - 8 as a verbal expression
Please the fast as possible!
Answers
Answer:
8 subtracted from the product of 9 and x
Hope this helps!
On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?
A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6
Answers
Answer:
C
Step-by-step explanation:
hope this helps with the work
Complete the table for the relationship shown in the graph
Answers
Answer:
where ?
Step-by-step explanation:
where is the question to solve ?
an event that cannot happen is
a certain
b possible
c impossible
Answers
certain and possible are things that will or could potentially happen
each month Leo makes copies of a budget report. when he uses both the large and small printer the job takes 30 minutes. if the small printer is broken it takes him 50 minutes. how long would the job take if the large printer were to break?
Answers
His job will take 75 minutes long
flat family roof on goformative answer
Answers
Which measurement can be used to describe the size of an angle
Answers
Answer:
Step-by-step explanation:
degrees
Hope this helps!
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles
Answers
Complete question :
From a barrel of colored marbles, you randomly select 1 blue 6 yellow 7 red 4 green and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow.
Answer:
Step-by-step explanation:
Total number of marbles :
Blue = 1 ; yellow = 6 ; red = 7 ; green = 4 ; purple = 6
Total = (1 + 6 + 7 + 4 + 6) = 24 marbles
Probability of selecting marble that is not yellow :
Number of marbles that aren't yellow / total number of marbles
Marbles that aren't yellow = 24 - 6 = 18
P(selecting a marble that isn't yellow) = 18 / 24 = 3/4
can I have some help? and with an explanation could help win brainist.
Answers
Answer:
20 units
Step-by-step explanation:
Hope this helps u :D
Answer:
24 units
Step-by-step explanation:
The distance between 2 and 4 is 2.
2 + 2 = 4
The width is 2 units.
The distance between - 3 and 5 is 8.
- 3 + 8 = 5 or 8 - 3 = 5
4 + 8 + 4 + 8 = 24
B is the midpoint of AC, if AB=2x+1 and BC= 3x-4, what is x? What is the measure of BC? What is the measure of AC?
Answers
Answer:
ayaw pag salig og brainly lods
Help please ASAP
2. A birthday present is placed into a rectangular
shoe-box. The box has the following dimensions: 3
inches by 7 inches by 8 inches. What is the minimum
amount of wrapping paper needed to cover the
entire box?
a.
146 sq. in.
b.
101 sq. in.
C
202 sq. in.
d.
168 sq. in.
Answers
Answer: 168 sq. in.
Step-by-step explanation: the shape is a cubiod the volume is lbh=3*7*8=168
Andy estimated that he would need 73 feet of lumber for a tree house project. He later found that the actual amount of lumber needed was 62 feet. What was the percent error of Andy's estimation?
Answers
Answer:
17.74%
Step-by-step explanation:
The formula for percent error is given as:
|Estimated value - Actual value|/Actual value × 100
From the above question:
Estimated value = 73 feet
Actual value = 62 feet
Hence,
Percent error = |73 - 62|/62 × 100
= 11/62 × 100
= 17.741935484%
Approximately , percent error = 17.74%
Therefore, the percent error of Andy's estimation is 17.74%
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answers
Answer:
35.00 degrees
Step-by-step explanation:
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Answers
Answer:
B. y = 85x
Step-by-step explanation:
First, find the rate of change of the graph:
Rate of change = change in y/change in x
Using two points (0, 0) and (4, 300),
Rate of change (m) = (300 - 0)/(4 - 0) = 300/4
Rate of change (m) = 75
Compare this with the rate of change of the given equations in the options.
✔️Option A: y = 65x + 100
The rate of change of this equation is 65, which is less than the rate of change of the given graph (75)
✔️Option B: y = 85x
The rate of change of this equation is 85, which is greater than the rate of change of the given graph (75)
✔️Option B: y = 50x + 150
The rate of change of this equation is 50, which is less than the rate of change of the given graph (75)
✅Therefore, the equation that has a greater rate of change than the one shown in the graph is y = 85x
Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?
La respuesta correcta es$40
Explique aquí como y porqué $40 es la respuesta
Answers
Give the restrictions on the domain (the excluded values) of
5x-10/5x2 +5x-30
Answers
Answer: x = -3 and x = 2
Step-by-step explanation:
ect the correct answer.
Which of the following graphs represents the equation below?
Answers
Explain box and whisker and how does it work?
Answers
a box plot is a graph that summarizes numerical data based on quartiles, which divide a data set into fourths
Which pair of segments must be parallel? A. AB and CD B. AB and GH C. CD and EF D. EF and GH
Answers
Answer:
G and H
Step-by-step explanation:
though with that being said i may be wrong (im not scamming like other users with random answers im being for real)
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?
Answers
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.
It’s all there in the picture will give brainlest to correct answer
Answers
Answer:
1. 10
2. 1 and 18
3. 17
4. 8
PLEASE HELP IF YOU KNOW HOW TO EXPLAIN
Answers
Answer:
cos Q = 28/53
Step-by-step explanation:
cosine = CAH
= Adjacent / Hypotenuse
adjacent length 25 and hypotenuse is 53
hope this helps!
Which ordered pairs are solutions to y = x + 1?
A (0,1),(1,2), (2,3)
B (0, -1), (2, -1), (3,-2)
C (0,1),(1,2), (2, 4)
D (0,1),(2, 1), (3, 1)
Answers
Answer:
A. ( 0, 1 ), ( 1, 2 ), ( 2, 3 )
Step-by-step explanation:
( x, y ) = ( 0, 1 )
Here,
x = 0
y = 1
y = x + 1
1 = 0 + 1
1 = 1
( x, y ) = ( 1, 2 )
Here,
x = 1
y = 2
y = x + 1
2 = 1 + 1
2 = 2
( x, y ) = ( 2, 3 )
Here,
x = 2
y = 3
y = x + 1
3 = 2 + 1
3 = 3
What is the answer if you factor 5x^2+15x-20
Answers
-6x² + 8x + 10is in what form?
A)Standard
B)Linear
C)Vertex
D)Parent
Answers
Step-by-step explanation:
The given quadratic equation is in standard form.
3 dogs plus 5 cats cost $365. 5 dogs plus 3 cats cost $491. What is the cost of one cat?
Answers
Answer:
Solution given;
let dogs be d and cats be c.
according to the question
3 d +5 c =$365........[1]
5d+3c=$491.............[2]
By doing elimination method
multiplying equation 1 by 5 and equation 2 by 3 and subtracting
we get
15d+25c=$365*5
15d+9c=$491*3
- - -
____________
;16c=$352
c=[tex] \frac{352}{16} [/tex]=$22
the cost of one cat is $22.
In 1990, the population of the U.S. was about 250 million and was growing exponentially
at a rate of about 1% per year. At this rate, in what year will the population have
doubled?
a. 2080
b. 2070
c. 2060
d. 2050
Answers
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 250 million
Future Value (FV)= 500 million
Growth rate (g)= 1% per year
First, we need to calculate the number of years required for the population to double:
n= ln(FV/PV) / ln(1+g)
n= ln(500/250) / ln(1.01)
n= 69.66 = 70 years
It will take 70 years for the population to double.
There are 12 girls on the soccer team. That is 3 times the number of boys on the team.
How many boys are on the team?
Answers
Answer:
4 boys
Step-by-step explanation:
[tex]\frac{1}{3} :\frac{y}{12}[/tex]
3 × y = 1 × 12
3y = 12
3y ÷ 3 = 12 ÷ 3
y = 4
Will mark brainlist for correct answer
Answers
Answer:
I would say not here D.
Step-by-step explanation:
Because I found the area of the base first *the square* which is 4 x 11 = 44 and the rectangles are 4 x 14= 56 x 2 since there are 2 rectangles is 112. Then the triangles are 11x14=154/2=77 x 2 since there are 2 triangles is 154. Then we add up all those numbers 44+112+154= 310 not 308 *C*.
Hope I was able to help!
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
Answers
Answer:
-45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45
Answer:
$117
Step-by-step explanation:
184+38=222
222-45=117