====================================================
Explanation:
Check out the diagram below. I recreated the diagram in your textbook, but I added on a few other points and segments.
Point E is the midpoint of segment AB. Segment OE is perpendicular to AB.
Point F is the midpoint of CD. Segment OF is perpendicular to CD.
Right triangle AOE forms with OA = 10 as the hypotenuse (radius of the circle) and AE = 8, since E cuts AB in half.
Use the pythagorean theorem to find that...
a^2+b^2 = c^2
(AE)^2 + (OE)^2 = (OA)^2
8^2 + (OE)^2 = 10^2
64 + (OE)^2 = 100
(OE)^2 = 100-64
(OE)^2 = 36
OE = sqrt(36)
OE = 6
--------------------
Because chord CD is the same length as chord AB, this means the chords are the same distance from the center point O.
So, OE = OF = 6
Since we have rectangle OEPF, the opposite sides are congruent and we can say OF = EP = 6
Now focus on right triangle OEP. Use the pythagorean theorem again
a^2+b^2 = c^2
(OE)^2 + (EP)^2 = (OP)^2
(6)^2 + (6)^2 = (OP)^2
72 = (OP)^2
(OP)^2 = 72
OP = sqrt(72)
OP = sqrt(36*2)
OP = sqrt(36)*sqrt(2)
OP = 6*sqrt(2)
The price of one Disney's Share declined a total of $475 in 5 days. What was the average change of the price of one share per day?
Answer:
$95 in one day
Step-by-step explanation:
$475 divided by 5 is $95.
I apologize if I'm wrong
Daniel works in a market. He has a large bag of potatoes that weighs 261/4 pounds and he is going to sell them in smaller bags of 9/4 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?
Answer:
11 6/9
Step-by-step explanation:
Daniel works in a market
He has large bags of potatoes that weighs 26 1/4
Daniel is going to sell them in smaller bags 9/4 pounds each
Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows
= 26 1/4 ÷ 9/4
= 105/4 ÷ 9/4
= 105/4 × 4/9
= 105/9
= 11 6/9
any luck of help? this is rlly important just answer the ones u know leave the ones u don't I'll still be brainlisting !:)
Answer:
Hajj not connects us with khana kaeba.
what is the equivalent expression?
Answer:
B
Step-by-step explanation:
Negative and positive rule
Please help anybody. I don’t get this
Answer:
1/16 my bad
Step by step explanation:
Answer:
Its D. 1/16
because you flip 8 to make the exponent positive. then you solve and you get 0.0625 which is 1/16
Can someone please help me with this question? I don’t know what the answer is and I’m not sure
Answer:
you're right
Step-by-step explanation:
I checked by writing the first 5 terms
a1: 5
a2: 8
a3: 11
a4: 14
a5: 17
and then checked using the function to see if they matched up and they did
y = -1.25x - 2
y = - 25x + 2
please help, and show me how to get the answer please :)
Expand the logarithm fully using the properties of logs. Express the final answer in
terms of log .
log 6x^4
Answer:
P=log(2)+log(3)+4.log(x)
Step-by-step explanation:
To solve the problem, we need to recall the following properties of the logarithms:
[tex]log(x.y)=log(x)+log(y)[/tex]
[tex]log(x^y)=y.log(x)[/tex]
We have the expression:
[tex]P=log(6x^4)[/tex]
Factor 6=2*3:
[tex]P=log(2\cdot 3x^4)[/tex]
Apply the property of the product:
[tex]P=log(2)+log(3)+log(x^4)[/tex]
Now apply the property of the exponent:
P=log(2)+log(3)+4.log(x)
PLz Help! ASAP I will mark you brainliest!
Answer:
#1 A
#3 D
#4 C
GOOD LUCK
An office building is 111ft high. About how tall is this in meters?
Answer:
33.8328
Step-by-step explanation:
Divide the length value by 3.281
What two integers gives a product of -10?
Answer:
Here's how to solve it.
Step-by-step explanation:
Ok so, a negative integer and positive ALWAYS equals a negative.
Negative and negative equals positive because it cancels out.
Positive and Positive equals positive.
So to answer your question What negative number times by a positive equals -10?
Well 5 * 2 = 10 Right?
So -5 * 2 = -10
Hope this Helps.
PLEASE HELP:
What translation vector translates A(−2,7) to A′(5,−1)?
A. (3,-6)
B. (7,-8)
C. (3,6)
D. (-7,8)
Answer:
A=(4−10,−7+5)=(−6,−2)
Answer:
B. (7,-8)
Step-by-step explanation:
Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years. Find the rate of change in the number of participants.
16 is not an answer for me on my assignment. What should I do?
Solve for x.
-5(x + 1) + 3x - 3= -14
Answer:
Submit Answer
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Answer:
Let's solve your equation step-by-step.
−5(x+1)+3x−3=−14
Step 1: Simplify both sides of the equation.
−5(x+1)+3x−3=−14
(−5)(x)+(−5)(1)+3x+−3=−14(Distribute)
−5x+−5+3x+−3=−14
(−5x+3x)+(−5+−3)=−14(Combine Like Terms)
−2x+−8=−14
−2x−8=−14
Step 2: Add 8 to both sides.
−2x−8+8=−14+8
−2x=−6
Step 3: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
-5(x + 1) + 3x - 3 = -14
Distribute within parenthesis
-5x -5 + 3x - 3 = -14
Combine like terms
-2x - 8 = -14
Add 8 to both sides
-2x = -6
Divide -2 by both sides
x = 3
I hope this helps :)
If sin α + cos α =1.2, find sin α · cos α .
At Sascha's Salad Bar, customers make their own salads and pay by the ounce. Jenny paid $6.16 for a 22-ounce salad. How much would a 16-ounce salad cost?
Answer:
I think it is 4.48.
Explain:
6.16/22 is 0.28 Then 0.28 times 16 is 4.48.
Can I get a Brainliest?
Memo No
Date
Find the square root of 13²
Answer: 13
Step-by-step explanation:
The square root and exponent cancel out and you are left with 13.
Polynomials are closed under which operations? Select all that apply.
Addition
Subtraction
Multiplication
Division
your answer is
Step-by-step explanation:
polynomials are closed under addition,subtraction,mutiplication except division
The polynomials are closed under addition, subtraction, mutiplication except division.
What is a polynomial?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Polynomials are expressions involving variables raised with non negative integers and coefficients (constants who are in multiplication with those variables) and the constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
The polynomials are closed under addition, subtraction, mutiplication except division.
Learn more about prime polynomials here:
https://brainly.com/question/10717989
#SPJ2
Write a ratio for the model that compares the symbols ☺ to ☼. Simplify if possible.
☺☺☺☺☺ ☺☺☺☺☺ ☺☺☺☺☺
☼☼☼☼☼
Answer:
3:1
Step-by-step explanation:
There are 15 smiley faces & 5 stars so you just have to simplify them.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary. At her first tennis lesson, Latoya swung hard at an incoming serve, the racket slipped out of her sweaty hand and bounced off Coach Licata's head.
Answer:
serve; the
Step-by-step explanation:
In the given sentence the error is in the use of the punctuation mark. The comma has been used in the sentence that is not correct. The correct punctuation mark will be a semi-colon (;). A semicolon is used to bring a pause between two independent clauses. These clauses or the part of the sentences are closely related and have equal importance in the sentence.
Anyone know how to do this?
Answer:
20°
Step-by-step explanation:
Step 1:
3x - 10 = x + 30 Alternate Interior ∠'s
Step 2:
2x - 10 = 30 Subtract x on both sides
Step 3:
2x = 40 Add 10 on both sides
Step 4:
x = 40 ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)
PLZ HALP!!!!
You earned $96 babysitting for 12 hours last weekend. Write and solve a proportion to find how much you earned per hour?
Answer:
$8 per hr
Step-by-step explanation:
divide $96 by 12 hrs
Answer:
$20
Hope this helps! :)
Alex can run 5/4 miles in 1/12 hour. At this rate, how far can he run in 1 hour?
Answer:
15 miles in one hour
Step-by-step explanation:
Since we know that we need twelve 1/12 hours to make one full hour, we can multiply.
5/4 * 12
5/4 * 12/1
60/4
15
Best of Luck!
Answer: 15 miles
If he can already run 5/4 miles in 1/12 of an hour, we multiply.
First, let's simplify 5/4 to make it easier.
5/4 = 1 1/4.
Alex ran 1 1/4 miles in 1/12 of a hour.
Now, let's multiply 1 1/4 by 12.
1 1/4 x 12 = 15.
Answer = 15 miles. Hope this helps!
Find the next 3 numbers in the pattern. Answer must be written in decimal form.
5.9, 5.6, 5.3, 5.0,
Answer:
4.7, 4.4, 4.1
Step-by-step explanation:
Find the pattern in the given numbers. Each number is .3 less than the previous number so you would keep subtracting .3 each time.
Answer:
Easy. 4.7,4.4,4.1. You're just subtracting .3.
Step-by-step explanation:
Let U = {9, 10, 11, 12, 13, 14} and A = {11, 13}. Determine whether the statement A⊂U is true or false and find A'.
a. false; A' = {11, 12, 13, 14}
b. true; A' = {9, 10, 11, 12, 14}
c. false; A' = {9, 12, 14}
d. true; A' = {9, 10, 12, 14}
Answer:
D; A⊂U is true and A'={9, 10, 12, 14}
Step-by-step explanation:
A={11,13}
Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.
A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}
can someone help me with this plzz I'll brainlist :)!
Step-by-step explanation:
Putting values of m and n in the equation
12/3 + 5(3)
4 + 15 = 19
(12)(3)/4
= 36/4 = 9
3(12) - 12(3)
36 - 36 = 0
Step-by-step explanation:
m= 12 and n = 3
[tex]a. \: \frac{m}{3} + 5n \\ \frac{12}{3} + 5 \times 3 = 4 + 15 = 19[/tex]
[tex]b. \frac{ mn}{4} = \frac{12 \times 3}{4} = \frac{36}{4} = 9[/tex]
c.[tex]3m - 12n \\ \\ 3 \times 12 - 12 \times 3 = 36 - 36 = 0[/tex]
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION RQ!!!!!!!1
Answer:
6 in, 8 ftStep-by-step explanation:
3. Area of triangle
A= 1/2bh24 = 1/2*8hh = 6 in4. Number of bricks
n = 7lh1568= 7*28hh = 1568/(7*28)h = 8 ftAnswer:
192
Step-by-step explanation:
for question 3
Because
Area=Length=With
The average winter temperature at the South Pole is -49 degrees Celsius. The coldest temperature recorded in Antarctica was 40.6 degrees Celsius colder than the average winter temperature at the South Pole. What was the coldest recorded temperature in Antarctica?
Answer:
The coldest temperature at Antarctica is -89.6 degrees celsius
Step-by-step explanation:
Here, we are interested in calculating the coldest temperature in Antarctica.
In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.
The average winter temperature at south pole = -49 degree celsius
The coldest temperature is thus -49-40.6 = -89.6 degrees celsius
Answer:
95
Step-by-step explanation:
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
a. Distribute –4 to get –8x + 4 > 5 – 3x.
b. Distribute –4 to get –8x – 1 > 5 – 3x.
c. Subtract 2x from both sides of the inequality.
d. Add 1 to both sides of the inequality.
Answer:
B.)Distribute –4 to get –8x – 1 > 5 – 3x.
Step-by-step explanation:
3. A water balloon was thrown
from a window. The height
of the water balloon over
time can be modeled by the
function y= 16x2 + 160x + 50.
What was the maximum
height of the water balloon
after it was thrown?
Note: It the given equation the coefficient of [tex]x^2[/tex] must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
[tex]y=-16x^2+160x+50[/tex]
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
[tex]y=-16x^2+160x+50[/tex]
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
Here, [tex]a=-16,b=160,c=50[/tex]. So,
[tex]-\dfrac{b}{2a}=-\dfrac{160}{2(-16)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{160}{-32}[/tex]
[tex]-\dfrac{b}{2a}=5[/tex]
Now, put x=5 in the given equation.
[tex]y=-16(5)^2+160(5)+50[/tex]
[tex]y=-16(25)+800+50[/tex]
[tex]y=-400+850[/tex]
[tex]y=450[/tex]
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.