1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
During a school assembly, 15 out of 60 students wore orange shirts to show school spirit. what percent of the students did NOT wear orange shirts?
Answer: 75%
15/60 wore orange shirts
45/60 didn’t
45/60 = 0.75 = 75%
The Brooklyn Bridge has towers that reach a height of 276 feet above
the water level. The foundation is 78 feet below the water level. What
is the distance from the top of the towers to the foundation?
Answer:
354
Step-by-step explanation:
276+78
354
y / 4 + 8 = 22 Answer?
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56
gffdsfsdsfghjkjhgfdsasdfgbhnj utefjfifkcryekxe
Answer:
HUh? LOL
Step-by-step explanation:
Answer:
rnfjewjsknfkrngejabjfkba re
Step-by-step explanation:
Find the area of each regular polygon. Leave your answer in simplest form.
Answer:
Unfortunately, I can't be able to see the image. Please adjust.
A triangle has two sides of length 14 cm and 21 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply. 5 cm 15 cm 25 cm O 35 cm 45 cm
Answer:
im doing the quiz rn, and im pretty sure its only 5cm
Step-by-step explanation:
because 5 cm is the only one that is smaller than the combination 14 + 5<21
and thats technichly what you looking for cuz 14+ 15>21
Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?
Answer:
The answer would be 7.5
Step-by-step explanation:
This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.
The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
As per the table:
When the hours are 0 earnings are $15
Initial fee = $15
And when hours are 1 earnings is 22.5
∴ $22.5 = initial fee + hourly rate
Hourly rate to walk their pets = 22.5 - 15 = $7.5
So from the equation:
y = 7.25x + 20
Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.
After observing all the equations:
In the equations:
y = 8x + 10
The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.
Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
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An expression is shown
1608÷268
What is the value of the Expression
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
1608/268=6
268*6=1608
**next time try to figure it out with a calculator before asking on brainly, it'll save you the points**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
need help pls , 20 points
no links or else I will report
Answer:
x=72
Step-by-step explanation:
x=3/4x+18
4(x=3/4+18)
4x=3x+72
x=72
Answer:
18² + (3/4x)² = x²18² = x² - 9/16x²18² = 7/16x²x² = 16*18²/7x = 72/√7x ≈ 54.42Find the mean of the following data set
41,7, 39, 11, 23, 31, 27, 7, 12
0 29
0 198
0 99
022
Answer:
22
Step-by-step explanation:
Add al the digits (198) then divide by how many digits there are (9)
198÷9=22
PLEASE HELPPP
10. (07.04 LC)
If 8x = 48, then x =
Answer:
6
Step-by-step explanation:
48/8=6
divide each side by 8
Answer:
x = 6
Step-by-step explanation:
If you divide both sides of the equation by 8, then you end up with x = 6.
25 points need ASAP
Write and solve a proportion to answer the question.
17 out of 25 marbles in a bag are red. What percent of the marbles are red? Show work,
-Answers for the points will result in a report-
Answer:
68%
Step-by-step explanation:
17 divided by 25 =0.68
make the decimal into a precent
Answer:
5℅
Step-by-step explanation:
Hope I helped, have g'day!
equivalent expression 7s+8t+10s+12t
Answer:
17s+20t
Step-by-step explanation:
Simplify square root of .49x^18 where x<0
Answer:
-.7x^9
Step-by-step explanation:
The solution of the expression 49x¹⁸ will be 7x⁹.
What is a radical expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.
The given expression is 49x¹⁸. The value of the expression will be solved as:-
E = √( 49x¹⁸)
E = √ (7² x x¹⁸ )
E = 7x⁹
Therefore, the square root will be equal to 7x⁹.
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Which is the graph of f(x)=1/4(4)c?
Answer:
The seacont one will be your answer hope it helps
Step-by-step explanation:
can you pls help!!!!??!?!?!,!
draw the grid of 3y- 4x=12
THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.
Answer:
Step-by-step explanation:
406525%Answer:
Q1; 40
Q2; 65
Q3; B (25)
Q4; A (?)
Q5; 63
Step-by-step explanation:
I believe
Meaning of the word break-even
Answer:
Breakeven is often used in finance, it means the point of reaching a balance.
Step-by-step explanation:
is x²-x divisible by 2?
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
Simplify:
5 1/2 - 2 1/4
1 3/4 + 1 1/2
What is the value of x in the equation 8 + x = 3?
A. −5
B. 5
C. 11
D. 24
Answer:
I think it's A
I hope this helps
What is SRV? plssssssssssssssssssss help
The Measurement of SRV is 120°
Hey can you help me fast!!!
Answer:
40 square feet
Step-by-step explanation:
I gotcha bro
4 x 12 = 48
48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40
You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?
By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.
Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
Given that,
The length of your wood = 10.23
The length of your friend's wood = 17.65
Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".
In this case,
x = 10.23 cm
y = 17.65 cm.
To find the total length when they are attached,
Add the lengths as
x + y = 10.23 cm + 17.65 cm
Now, calculate the sum:
x + y = 27.88 cm
Hence,
If you attach the two pieces of wood, the total length would be 27.88 cm.
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Please I need help ASAP
Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40
A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Answer:
The commission is 943
Step-by-step explanation:
Take the price of the cat and multiply by the commission rate
23575 * 4%
23575 *.04
943
The commission is 943
Give the diagram below find the value of x
PLEASEE HELP A GIRL IS BAD AT MATH WILL GIVE 30 POINTS
Answer:
Well this is Same side interior angles which would mean that its supplementary or 180.
So we can just,
4x-2+17x+14=180
Combine like terms
21x+12=180
Perform inverse
21x=168
Divide/isolate
x=8
So the value of (x) is 8
Step-by-step explanation:
Well here’s a little tip that might help
So in order to identify interior/exterior angles you have to find the location. The two lines are whats separates the inner and the outter.
The Outter are outside the two parralel lines, their not in between. There are 4 exterior angles.
The inner are the 4 angles between the two parralel lines. There are 4 interior angles.
So there are 5 different ways you would usually hear them.
Alternate interior angle
Alternate exterior angle
Same side exterior (or better known as Converese of the same side exterior)
Same side interior (better known as the converse of the same side interior)
Corresponding
Alternate is basically different sides, but they gotta be only one angle choice, exterior or interior, if correct it makes this slash or back slash if you connect the points.
Same side is basically same side and they have to be the right type (exterior/ interior)
Corresponing has to be the same side also but they have to have.One interior and one exterior.
Corresponing angles are congruent (equal)
Alternate exterior/interior are congruent (equal)
Same side exterior/interior Are supplemenaty (they equal 180)