1. Two segments from P are tangent to circle o. If angle P = 60 and the radius of circle o is
12 feet, find the length of each tangent.
Answers
Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Related Questions
y= 22 + 2x + 3
What are the coordinates of the vertex of the given function?
Answers
A house was valued at $238,000. Over several years, the value decreased by 16%, giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
New value = 1 x Old value
(1) Use your answer in part (a) to determine the new value.
New value: 0
Answers
Answer:
The new value of the house after the 16% decrease would be $199,920.
Step-by-step explanation:
Given that a house was valued at $ 238,000, and over several years, the value decreased by 16%, giving the house a new value, to determine the new value the following calculation must be performed:
238,000 - (238,000 x 0.16) = X
238,000 - 38,080 = X
199.920 = X
Thus, the new value of the house after the 16% decrease would be $ 199,920.
1000 centimeters=_______meters?
Answers
1000 Centimeters = 10 Meters
∝ Sidhdi
20, 18, 21, 18, 22, 24, 18, 23, 23, 24 Explain the meeting of the interquartile range as it relates to the number of students in the kindergarten classes
Answers
The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile(Q1) is the median of the first half of the data-set, and is also the 25th percentile.The third quartile(Q3) is the median of the second half of the data-set, and is also the 75th percentile.The interquartile range(IQR) represents the middle 50% of the distribution, and is given by Q3 - Q1.For this problem, the ordered data-set is given by:
18, 18, 18, 20, 21, 22, 23, 23, 24, 24.
There are 10 elements, hence:
The first half is 18, 18, 18, 20, which has median (18 + 18)/2, hence Q1 = 18.The second half is 23, 23, 24, 24, which has median (23 + 24)/2, hence Q3 = 23.5.Then the IQR is:
Q3 - Q1 = 23.5 - 18 = 5.5.
The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142
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help please asap. best answer gets brainliest.
Answers
Answer:
Step-by-step explanation:
4 is coefficient
x is variable
12 is constant
X-const
12-variable
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 3(x+4)2-5
Answers
Answer:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 5[/tex]
Step-by-step explanation:
Given
[tex]g(f(x)) = 3(x + 4)^2 - 5[/tex]
Required
Find g(x) and f(x)
Replace all expression in bracket with x
[tex]g(x) = 3(x)^2 - 5[/tex]
[tex]g(x) = 3x^2 - 5[/tex]
The expression removed from bracket are:
f(x) and x + 4
So:
[tex]f(x) = x + 4[/tex]
Please help! This is due in a few minutes! Reese and Kevin have been working together to try and lose weight. Reese's weight loss can be modeled by the equation y = -4x + 203 where y is his total with weight and x is the number of weeks he has been working out. Kevin's weight loss progress is shown on the graph below. Who is losing weight at a faster rate? Explain your reasoning.
Answers
Answer:
The answer is Kevin, Kevin is loosing weight faster
Step-by-step explanation:
The reason its kevin is because Reese is loosing weight and his is -4 and Kevins number is -5 so it would be kevin for the answer.
Classify the following triangle ?
Answers
Answer:
scalene and acute
Step-by-step explanation:
it doesn't have a right angle or 2 sides that r the same
all angles are below 90 so acute
Which of the following statements contain a variable? Check all that apply.
A. There are 3 periods in a hockey game.
B. The plane departs at 2 o'clock.
C. The length of a song on the radio.
D. Bob is half the weight of his dad.
Answers
Answer:
C & D because there’s no numbers to calculate anything.
Step-by-step explanation:
-5p + 3.5 = 8
WITH STEPS ON HOW YOU DID IT PLEASE
Answers
-5p=8-3.5
-5p=4.5
divide both sides by -5
p= -0.9
-3.5 -3.5 subtract
-5p = 4.5
—— —— division
-5 -5
p = -1.1
Can you please help?
Answers
Answer:
change in X is 12
Step-by-step explanation:
The new value of the x is 15 and it went from 3, so the change is 12
The factor is 5, so you would multiply each side by 5 and the angles would stay the same
1•5=5 and 3•5=15.
You have your new value, 15, and your old value, 3. Knowing this, to find the difference you would subtract.
15-3=12
Identify the Shapes
What shapes can you obtain by taking a cross
section of a cone?
a circle
an ellipse
a parabola
a hyperbola
Answers
Hope this helps!!:)
good luck!!
help plz i’ll give extra points : )
Answers
Answer:
y = 6/5x - 24/5
Step-by-step explanation:
The two points we are given are (4, 0) and (9, 6). First, find the slope.
m = 6 - 0/9 - 4 = 6/5
Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.
y - 0 = 6/5(x - 4)
y = 6/5x - 24/5
What is 73 divided by 21
Answers
Answer:
exact form: 73/21
decimal form: 3.476190
mixed number: 3 10/21
What is the measure of side BC?
Answers
Answer:
I think that the measure of side BC is 2
Step-by-step explanation:
Answer:I think either a or c im not sure
how many 5s are in 2,207
Answers
Answer:
441 if it's not right then I'm sorry I tried
2. Sam's cat weighs 6 times as much as Larry's hamster. Together, they
weigh 28 pounds. How much does Sam's cat weigh? *
24 lbs
28 lbs
32 lbs
Answers
What the volume?????????
Answers
left rectangular prism: 12 x 2 x 10 = 240
right rectangular prism: 12 x 8 x 2= 192
192 + 240 = 432
volume = 432 m^3
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer and Step-by-step explanation:
You got the triangle at front, half of 6 is 3, so then you do 4 times 3 divided by 2, which is 6.
There are 4 of those triangles, so 4 times 6 is 24.
Now, we got two rectangles on top. 5 times 12 is 60, and 60 + 60 is 120.
the bottom rectangle is 6 times 12, which is 72.
Now we add.
24 + 120 + 72 is 216
216 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
help
help
help
por favor
por favor
please
Answers
Answer:
cant help im sorry
Step-by-step explanation:
Answer:ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)
Step-by-step explanation: Plz give brainliest.
36 irrational or rational and why?
Answers
Answer:
Rational
Step-by-step explanation:
First tip with numbers... All whole numbers are rational and all numbers, rational or irrational are real numbers. Rational numbers consist of whole numbers, integers, fractions, and so on... While irrational numbers are numbers that can't be simplified to a basic whole number or fraction like 36.
Pi (π) is an example of an irrational number.
36 is an example of a rational number.
Hope you get it now! :)
Formula for polygon area
Answers
Answer:
1/2BH
Step-by-step explanation:
I'm not sure but I would think this is the common formula
Write an expression equivalent to 2/3 (x-6)
Answers
Answer:
2(1/3x-2)
Step-by-step explanation:
Layla invested $1,100 in an account paying an interest rate of 1 % compounded
daily. Wyatt invested $1,100 in an account paying an interest rate of 1 %
compounded monthly. After 10 years, how much more money would Wyatt have in
his account than Layla, to the nearest dollar?
Answers
Answer:16
Step-by-step explanation:
A company that makes trail mix uses 1 3/8 pounds of peanuts for every 2/3 pound of raisins. They make 245 pounds of trail mix using only peanuts and raisins. How many pounds of peanuts do they use?
Answers
Answer:
They use 24 pounds of peanuts
Step-by-step explanation:
if 3/8 you multiply which is 24 then you add 6 from the 2/3 then you subtract 245 from 24x6=101- =43-6=37-8=29-5=24
Answer:
IT'S 165 POUNDS
Step-by-step explanation:
One side of a rectangle is three times as long as another. If its area is 363 square centimeters, find its dimensions.
Shorter side:
Longer side:
Answers
9514 1404 393
Answer:
11 cm by 33 cm
Step-by-step explanation:
You can solve this problem mentally as follows.
Consider the rectangle as 3 squares, side-by-side. Then the area of each of those squares is 363/3 = 121 cm^2. From your knowledge of the squares of numbers, you know that 121 = 11^2. So, the width of the rectangle is 11 cm, and the length is 3 times that, or 33 cm.
_____
Using variables, we can let w represent the width. Then 3w can represent the length, and the area is ...
A = LW
A = (3w)(w) = 3x^2 = 363
w^2 = 363/3 = 121
w = √121 = 11
3w = 3·11 = 33
The width is 11 cm; the length is 33 cm.
Answer:
Shorter side: 11 cm
Longer side: 33 cm
First, write down what you know:
length=3*width, this can be written as 3w
area=363 sq cm
Now we know the formula for the area of a rectangle= length * width so we can substitute what we know into the formula. It looks like this:
363 (area) = 3w (length) × w (width)
[tex]363=w^2[/tex]
divide both sides by 3 to get: 121 = [tex]w^2[/tex]
take the square root of both sides to get: w=11 (square root of 121 is 11)
Now that we know what the width is, we can substitute that and find the length: 3w = 3 × 11=33
So length (longer side) is 33cm and width (shorter side) is 11cm.
*To check this, plug the numbers into the area formula: Area=33 × 11 = 363 sq cm.
Please mark brainiest if you can
2/9 h = 8
h=
Pls tell me what h = !
Answers
Answer:
h=36
.......................
someone help me on this quick question on my HW please i will give brainliest
Answers
Answer:
smalls
Step-by-step explanation:
If x = 10 find the value of 2x2 + 21
Answers
Answer:
221
Step-by-step explanation:
If x = 10,
2x² + 21 = 2(10)² + 21
= 200 + 21
= 221
Hope it helps :)
Please mark my answer as the brainliest
What is another way to write 3 x (4+5) = 27?
Pleas help
Answers
Answer:
Step-by-step explanation:
3 x (5+4) = 27
Hope that helps!
The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
3 x (4+5) = 27
i.e. 3 x (5+4) = 27
Hence, The another way to write 3 x (4+5) = 27, is 3 x (5+4) = 27.
To learn more on multiplication click:
brainly.com/question/5992872
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