Answers
9514 1404 393
Answer:
x = 14.4
Step-by-step explanation:
The product of segment lengths for each chord is the same.
8·36 = x·20
x = 8·36/20 . . . . divide by 20
x = 14.4
_____
Additional comment
There are a couple of relationships involving lengths of chords and secants. I consider each to be a specific case of the general rule that the product of segment lengths from the point of intersection to its two circle intercepts is the same for each chord/secant/tangent.
When the point of intersection is inside the circle, as here, the two lengths are those that extend either side of the point of intersection. When the point of intersection is outside the circle, then the segments of interest are the short one that intersects the circle at a near point, and the longer one that intersects the far side of the circle.
Yet another special case of the intersection point being outside is the case where the two intercepts are identical—the "secant" is a tangent. In that case, the tangent length is squared (multiplied by itself).
Personally, I find the general rule easier to remember than all of the special cases.
Related Questions
which table represents viable solutions for y=5x, where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets?
Answers
Given:
The given equation is:
[tex]y=5x[/tex]
Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.
To find:
The correct table of values from the given options.
Solution:
We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.
We have,
[tex]y=5x[/tex]
For [tex]x=0[/tex],
[tex]y=5(0)[/tex]
[tex]y=0[/tex]
For [tex]x=10[/tex],
[tex]y=5(10)[/tex]
[tex]y=50[/tex]
For [tex]x=51[/tex],
[tex]y=5(51)[/tex]
[tex]y=255[/tex]
For [tex]x=400[/tex],
[tex]y=5(400)[/tex]
[tex]y=2000[/tex]
In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.
For [tex]x=65[/tex]
[tex]y=5(65)[/tex]
[tex]y=325[/tex]
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.
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Answers
Answer:
[tex]10b^2-2b-6[/tex]
Step-by-step explanation:
Perimeter is 2(A+B)
[tex]5b^{2} -3b+2+2b-5\\5b^{2} -b-3\\2(5b^2-b-3)\\10b^2-2b-6[/tex]
i need help please !
Answers
Answer:
[tex]D.\ 7 \frac{3}{4} * \frac{\sqrt{16} }{5} = \frac{31}{4} * \frac{4}{5} = \frac{31}{5} \\\\C. \ 7 \frac{3}{4} + \frac{\sqrt{16} }{5} =\frac{31}{4} + \frac{4}{5} = \frac{171}{20}[/tex]
Consider functions f(x) and g(x). Which expression is equal to f(x)* g(x)?
Answers
Answer:
can u show a pic
Step-by-step explanation:
Susie flips a coin three times. what is the probability of her getting tails all three times?
Answers
Answer:
18
Step-by-step explanation:
Hoped this helped!!
Answer:
1/8 or 12.5%
Step-by-step explanation:
It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.
An article costing Gh37000 was sold for Gh31450. What is the loss percent
Answers
Answer:
15%
Step-by-step explanation:
The first step is to find the loss
Cost price -selling price
37000-31450
= 5,550
The loss percent can be calculated as follows
= loss/cost price × 100
= 5550/37000 × 100
= 0.15×100
= 15%
Hence the loss percent is 15%
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Answers
Answer:
royal background is the answer
Three people are coloring the same piece of 8 1/2 by 14 paper. Abby starts on the left side and painted 1/2 of the paper red. Ben starts on the right side and painted 3/4 of the entire paper green. Cathy starts in the middleand painted 1/3 of the entire paper, evenly on either side of the centre line, using blue color. What fraction of the paper has all three color painted on it?
Answers
Answer:
12/6
Step-by-step explanation:
PLEASE HURRY
What are the right triangles
Please I’ll give brainlyist
Answers
Answer:
is the answer 24 I hope this helps if I am wrong then let me know
What is the sum of the 3rd cube number and the 4th cube number?
Answers
The sum of the 3rd cube number and the 4th cube number will be 91.
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
The sum of the 3rd cube number and the 4th cube number will be:-
SUM = 3³ + 4 ³
SUM = 27 + 64
Sum = 91
Therefore the sum of the 3rd cube number and the 4th cube number will be 91.
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How do you evaluate 3yx+2x when x=4 and y=-2
A. -28
B. -16
C. 8
D. 56
Answers
Answer:
B: -16
Step-by-step explanation:
Plug the variables in accordingly. 3(-2)(4)+2(4)
-6(4)+8
-24+8
-16
77%
Calculate the area of this triangle.
14 cm
11 cmi
18 cm
Answers
Answer:
A = 99 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 18 and h = 11 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 cm²
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Answers
I need help ASAP. The cone shown has a 3 in radius and 7 in height. What is the volume of the composite figure?
Answers
Volume = 4/3 pi (3)^2
Volume = 113.1
But there is a half sphere so the volume will be 113.1/2 = 56.55
Volume of a cone = (1/3) pi x r^2 x h
Volume = 1/3 x pi x 3^2 x 7
Volume = 65.97
Total volume = 56.55 + 65.97 = 122.52 in^3
So the correct option is option B
Classify the quadrilateral.
and what do the arrows mean?
Answers
Answer:
parallelogram is yr answer.
and the arrow means the direction of line.
stay safe healthy and happy.hii can someone pls help me, I’m confused
Answers
Answer:
options
Step-by-step explanation:
b d and f
all add up to 1
Answer:
Step-by-step explanation:
A , B , D
What is the area of the triangle?
Answers
Answer:
The area of a right triangle of base b and height h is 1/2 × base × height (or) 1/2 × b × h.
Step-by-step explanation:
The area of a right triangle of base b and height h is 1/2 × base × height (or) 1/2 × b × h.
Answer:
36
Step-by-step explanation:
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For any input, there is only
possible output
O Three
O Two
O One
O Zero
Answers
Answer:
I think it's one
Step-by-step explanation:
why?
any input needs at most one output
Write the equation in point-slope form of a line that passes through the point (-13,71) and has the slope of m = -11 / 17
Answers
Answer:
y - 71 = -11/17 (x +13)
Step-by-step explanation:
The formula for point slope form is: y - y1 = m (x - x1). You plug in the x and y coordinate into x1 and y1 of the equation, and plug in the slope for m.
Determine the equation of the circle graphed below.
Answers
Answer:
Step-by-step explanation:
the formula for a circle not on the origin is :
(x−h)^2+(y−k)^2=r^2
for the circle shown it looks like the circle is centered at (1,3)
then h=1 and k=3 and the radius looks to be about 2
(x−1)^2+(y−3)^2=2^2
(x−1)^2+(y−3)^2=4
there is your equation for that circle shown in the graph
Write the slope intercept form of the equation for a line passing through (-3,-1) and
(0,4)
Answers
Answer:
y = 5/3x + 4
Step-by-step explanation:
First, you need to find the slope. Use the slope formula of (y^2-y^1) / (x^2 - x^1).
Plug the numbers in.
(4 - (-1)) / (0 - (-3))
5 / 3
Slope is 5/3
Now, you have an equation of y = 5/3x + b.
Since one of the points shows you what y equals when x=0, that is your y intercept.
Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent B) Independent
P(A) = 7/10 P(B) = 7/10 P(A and B) = 21/40
A) Independent B) Dependent
Answers
Answer:
Independent
Dependent
Step-by-step explanation:
Two events are independent of each other when you can mulitply them and get their intersect
we can can see that
9/20*7/10= 63/200 so these events are independent
For number 2
7/10*7/10≠ 21/40 so these events are dependent
A man walks 1500 metres.
On a map this is shown as 3cm.
What is the scale on the map?
Answers
The scale on the map is 1 cm for 500 m.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, A man walks 1500 metres. on a map, this is shown as 3 cm.
3 cm = 1500 m
1 cm = 500 m
Hence, The scale on the map is 1 cm for 500 m.
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Gerard tales 30 minutes to run 6000 metres at a steady speed. How long would he take to run 1 kilometre at the same steady speed
Answers
Answer: He would take 0.0833 hour or 5 mins
Step-by-step explanation:
Given that Gerard ran a 6000 metres in 30 minutes, Speed becomes
Speed =distance / time
But time to hours becomes 30/ 60=1/2=0.5hr
and meters to kilometres becomes 6000/1000=6 km
Speed =6/0.5 =12 km/h
Now if he runs 1 kilometre at same speed of 12 km/h . he will take
Time =distance/ Speed
Time =1/12=0.0833 hour Changing to mins becomes 0.08333 x 60=5 mins
HELPPP IM STUCK ON THIS
Answers
Answer:
10-10
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answers
Answer:
c: 128
Step-by-step explanation:
Have a good day!
0.326 as a fraction
Answers
Answer:
163/500
Step-by-step explanation:
we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.
First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:
.326 x 1000
1000
Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:
326
1000
The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:
326 ÷ 2
1000 ÷ 2
And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:
.326 =
163
500
The cone and the sphere have the same volume. The diameter of the cone is 24 cm, and the diameter of the sphere is 18 cm.
What is the HEIGHT of the CONE? Use 3.14
Answers
1/3x3.14x12^2xh = 4/3x3.14x9^3 was the formula I used to find it
An animal with ________ has identical body parts on both sides of its body.
Answers
Answer:
Bilateral Symmetry?
Step-by-step explanation:
2) Mass of the earth is 5976000000000000000000000 kg and that of Uranus is 86800000000000000000000000 kg , which one has greater mass ? and how much ? compare in exponential form.
Answers
Step-by-step explanation:
mass of earth=5.976×10^24 and
mass of Uranus =8.68×10^25
the mass of
Uranus is greater than that of the Earth by comparing its power 10
The mass of Uranus is greater than that of the Earth by comparing its power 10
What is an exponential form of 10?It is a shortcut way of writing repeated multiplication involving base and exponents. For example the 3 in [tex]10^{3}[/tex] is called the exponent. The expression [tex]10^{3}[/tex] is called exponential expression.
Given
Mass of the earth = 5976000000000000000000000 kg
Rewrite in exponential form
Mass of the earth = 5.976×10^24
Mass of Uranus = 86800000000000000000000000 kg
Rewrite in exponential form
Mass of the Uranus = 8.68×10^25
∴ 8.68 × [tex]10^{25}[/tex] > 5.976 × [tex]10^{24}[/tex]
We can clearly say that by seeing the exponential form of masses of earth and Uranus i.e.,
The mass of Uranus is greater than that of the Earth by comparing its power 10.
Learn more about exponential form of 10 here
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