Answer:
17 units
Step-by-step explanation:
Given 2 congruent chords in the circle, then they are equidistant from the centre and perpendicular
There is a right triangle formed by legs 15 and 8, with radius r being the hypotenuse.
Using Pythagoras' identity in this right angle
r² = 15² + 8² = 225 + 64 = 289 ( take the square root of both sides )
r = [tex]\sqrt{289}[/tex] = 17
A cylinder has a base radius of 14 mm and a volume of 3920π. What is the height of the cylinder?
Answer:
h = 20 mm
Step-by-step explanation:
V = πr²h
3920π = π(14²)h = π196h
divide both sides of the equation by π196:
20 = h
On the coordinate plane, mark all points (x,y) such that (A) y=x+3, (B) y=-x+3, (C) y=|x|+3
Answer:
the coordinates of A is: (0,3) the coordinates of B is: (1,2) the coordinates of C is:
Step-by-step explanation:
The graphs of the 3 given functions can be seen in the image attached below.
How to graph the given points?To graph all the points (x, y) in a relation:
y = f(x)
Is equivalent to graphing the function.
In this case, we just want to graph the 3 lines:
y = x + 3
y = -x + 3
y = |x| + 3
To graph the first two, we need to find two points on the functions and then connect them with a line.
For the third function we just need to move 3 units up the parent absolute value function.
The 3 graphs can be seen below. (the third function lies on top of the first two, so it is hard to see).
If you want to learn more bout graphing:
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Complete the sentence?
Answer:
2
Step-by-step explanation:
What is sin 23°?
Helpppp!
Answer:
C. 5/13
Step-by-step explanation:
Remember SOHCAHTOA
Sine is opposite over hypotenuse. The side opposite the 23° angle is 5, and the hypotenuse is 13.
So, sin 23° = 5/13
The value of sine 23 from the provided triangle can be expressed as [tex]\frac{5}{13}[/tex], option C is correct.
What are the basic principles of trigonometry?Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that can be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.
[tex]Sine x = \frac{opposite}{ hypotenuse. }[/tex]
side opposite = 5,
the hypotenuse= 13.
[tex]sin 23 = \frac{5}{13}[/tex]
Therefore, option C is correct.
Learn more about trigonometry at;
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Magda is playing a game with colored cards. Each card has a number on it. Magda chooses one card at random. All possible outcomes are shown in the table, where each outcome has equal probability.
What is the probability that Magda chooses a card with an even number given that the card is yellow?
Answer: It is 1/12
Step-by-step explanation:
There are a total of 12 cards. If you look at the table, there is only one yellow card that is even. So it is 1/12.
The probability that Magda chooses a card with an even number and that the card is yellow is 1/12.
Option A is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
From the table,
The total number of outcomes = 12
And,
The total number of outcomes where the card is even and yellow = 1
Now,
The probability that Magda chooses a card with an even number and that the card is yellow.
= 1/12
Thus,
The probability that Magda chooses a card with an even number and that the card is yellow is 1/12.
Learn more about probability here:
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A game has green and blue pieces the ratio of green game pieces to total pieces is 5:12. What are some statements that are true answer fast
Answer:
Statement B and statement D are true
Step-by-step explanation:
A game has green and blue pieces. The ratio of
green game pieces to total pieces is 5:12.
Select all the statements that are correct about the game pieces.
A. The ratio of green pieces to blue pieces is 7:5.
B. The ratio of total pieces to blue pieces is 12:7,
C. There must be 7 more blue pieces than green pieces.
D. The ratio of total pieces to green pieces is 12:5.
Ratio of green pieces = 5
Ratio of total pieces = 12
Ratio of blue pieces = Ratio of total pieces - Ratio of green pieces
= 12 - 5
= 7
Ratio of blue pieces = 7
A. The ratio of green pieces to blue pieces is 7:5.
Green pieces : blue pieces = 5 : 7
A is not true
B. The ratio of total pieces to blue pieces is 12:7
Total pieces : blue pieces = 12 : 7
B is true
C. There must be 7 more blue pieces than green pieces.
Blue = 7
Green = 5
There are 2 more blue pieces than green pieces
C is not true
D. The ratio of total pieces to green pieces is 12:5
Total pieces : green pieces = 12 : 5
D is true
11.
Graph the inequality.
Match the graph to the correct inequality below.
A. x>=–7
B. x < –7
C. x > –7
D. x<=–7
Answer:
D. x<=–7
Step-by-step explanation:
An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included. Also to know is, what does an open circle mean?
Can someone please solve this x + 7 = 12
Answer:
x=5
Step-by-step explanation:
change to x=12-7
subtract
x=5
Estimate the deference of 323 and 384 by rounding off to the nearest hundreds
Option 1) 300
Option 2)200
Option 3)400
Answer:
200
Step-by-step explanation:
I I can easily set the access option 2
Answer:
100
Step-by-step explanation:
One way of doing this is to substitute 300 for 323 and 400 for 384 (rounding off to the nearest hundreds), We then have 400 - 300, or 100. The actual difference is 384 - 323 = 61, which is closer to 100 than it is close to 0.
Note: There's no way that any of the three options you've shared could be the right one. Was there perhaps another option (100)?
AJLK ~ APQR. Find the value of x.
P
45
36
15
39
K
13
x=
Answer:
36 divided by 2 is 18 = plus 1p
Step-by-step explanation:
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Marking brainliest!!!!
Answer:
D or J = 600
Step-by-step explanation:
It's hard to explain, but yeah.
Can I have brainliest?
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Answer: the area equals 580
Step-by-step explanation: the area is length times height times width and it all equals to 580
hope this helps
Can u guys PLEASE answer this question ASAP.
THIS IS EXTREMELY URGENT
Answer:its upside down sir
Step-by-step explanation:
Evaluate the expression.
−(1/2)^4
The value of the expression is
Answer:
Exact form: -1/16
Decimal Form: -0.0625
Step-by-step explanation: Hope this helps.
A list is made of all possible 2-digit whole numbers that result from using only the digits 1,3,5, and 7 in both the
ones and tens place, with duplications allowed. How many whole numbers in the list are prime numbers?
A.6
B.7
C.8
D.9
E.10
a box in the shape of a triangular prism is shown below. what is the surface area of the box.
a. 94in
b.96in
c.98in
d.100in
Answer:
I' m not sure if I'm right but i think the answer is
surface area
A≈85.29
The probability that two cards are selected at random from a deck of cards containing
a face card and diamond without replacement.
Simplify:
(4x)^2
Write the expression in the form k*x^n.
Answer:
Step-by-step explanation:
I can help
Step 1
(4x)^2 Simplify
Step 2
(4x)^2 put 4 in 2 places
4x*4x
Step 3
4x*4x Multiply them
16x^2
Answer
16x^2
Hope this helps
Joel walked of a mile to the store, 1. of a mile to the library,
and 2 of a mile to the post office. How far did he walk??
Answer:
4 miles?
Step-by-step explanation:
Answer:
3 miles
Step-by-step explanation:
2+1=3
What is the volume of the figure below?
Answer:
B
Step-by-step explanation:
Because I just took this
Which coordinate pair represents the reflection of Point A across the y-axis?
519
A. (-2, -3)
B. (2-3)
C. (-2,3)
D. (2, 3)
Answer:
D) (2, 3)
Step-by-step explanation:
Reflect across the y-axis:
(x, y) → (-x, y)
A(-2, 3) → (2, 3)
claire makes bracelets using blue and red beads. each bracelet has 20 red beads and 5 blue beads. write an ordered pair to represent the number of red beads and blue beads claire will use to make 8 bracelets.
Convert from a percent to a decimal 8%
8% is equal to 0.08
Hope this helps, Sorry that it takes so long for people to get answers because of greedy people or people sending links.
Combine -4p + 2p + 3
Answer:
-2p + 3
Step-by-step explanation:
Answer:
= -2p+3
Step-by-step explanation:
combine like terms, which gives you -2p (-4p+2p). since the three isn't alike to the other term, you cant add them.
i hope this helps :)
if the diameter of a circle is 16 in what is the area in terms of pi
Step-by-step explanation:
According to the Question , diameter of circle is 16 inches. We need to find the area in terms of pi (π) . We know the area of circle as product of pi and square of radius . Therefore ,
[tex]\to\tt \orange{ Area = \pi r^2 } \\\\\tt \to Area = \pi (8 \ in.)^2 \\\\\tt\to \boxed{\orange{\tt Area = 64\pi in^2 }}[/tex]
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
diameter => D = 2r
r = D/2 = 16/2 = 8
area =
[tex]\pi \times r {}^{2} [/tex]
=
[tex]64\pi[/tex]
I need help! Will this would be very appreciated!pls
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
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Answer:
5
Step-by-step explanation:
5 is a number, an expression is, (in mathematics), an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Answer:
option D
5 not represent an expression
hope it helps
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Answer:
The answer is D of course
Step-by-step explanation:
Y- intercept; when the value of X=0 so,
4(0) - 3y = 24
-3y=24 over -3 over -3 we get -8