What is he measure of the indicated angle? Hint: What angle pair relationship is being modeled?
The area of a circle is 16π m². What is the circumference, in meters? Express your answer in terms of pi
*hint 8 isnt the answer *
brainlest
pls hurry
Solution:
We know that:
Area of circle = πr² = 16π
Let's undo this equation by dividing π both sides. Then, take a square root to find the radius.
=> πr² = 16π=> πr²/π = 16π/π=> r² = 16=> √r² = √16=> r = 4Now, let's find the circumference by substituting the radius in the circumference formula.
=> 2πr = Circumference=> (2)(π)(r) = Circumference=> (2)(π)(4) = Circumference=> 8π meters = CircumferenceSince the question says to leave the circumference in terms of π, 8π meters is the circumference of the circle.
Thus, the circumference is 8π meters
Write a quadratic function.
Answer:
[tex]\displaystyle y = x^2 + 6x + 12[/tex]
Step-by-step explanation:
To begin with, to define the stretch factour [tex]\displaystyle [A],[/tex]from the standard quadratic equation of [tex]\displaystyle y = Ax^2 + Bx + C,[/tex]find the rate of change between the vertex of [tex]\displaystyle [-3, 3][/tex] and either [tex]\displaystyle [-4, 4][/tex]or [tex]\displaystyle [-2, 4].[/tex]It really does not matter which ordered pair you choose to pair with the vertex because one result will be negative, and the other result will be positive, so it is as though you are taking the absolute value of the rate of change, but not entirely. Anyhow, let us get to wourk:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{2 - 3} \hookrightarrow \frac{-1}{-1} \\ \\ 1 = m[/tex]
OR
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-4 + 3}{4 - 3} \hookrightarrow \frac{-1}{1} \\ \\ -1 = m[/tex]
So, both oppocite rate of changes tell you that the stretch factour of this quadratic function is [tex]\displaystyle 1,[/tex]ESPECIALLY sinse the graph opens upward.
Now, to determine the quadratic equation for this graph, you need to write this in vertex form first. Remember to base the equation off the vertex:
[tex]\displaystyle y = A[x - h]^2 + k \\ \\ y = [x + 3]^2 + 3[/tex]
So, −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, and sinse the vertex [tex]\displaystyle [(h, k)][/tex]is at [tex]\displaystyle [-3, 3],[/tex]there MUST BE a plus sign inside those brackets. Anyway, let us continue:
[tex]\displaystyle y = [x + 3]^2 + 3 \hookrightarrow y = x^2 + 6x + 9 + 3 \\ \\ \boxed{y = x^2 + 6x + 12}[/tex]
You now have your quadratic equation.
I am delighted to assist you at any time.
Kelly is on a four-person relay team. The team's total time for its last race was 41.37 seconds. Giselle ran her part in 9.36 seconds. Sarah took 9.71 seconds to run her part of the race, and Aliyah ran her part in 10.57 seconds. How long did Kelly take to run her portion of the race?
Answer: 11.73 seconds
Step-by-step explanation:
To solve the question, we have to add the time used by Giselle, Sarah and Aliyah and then subtract from 41.37 seconds to determine the time used by Kelly. This will be:
= 41.37 - (9.36 + 9.71 + 10.57)
= 41.37 - 29.64
= 11.73 seconds
Kelly used 11.73 seconds
what are the answers to all of these
Answer/Step-by-step explanation:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{3}\times\frac{2}{4}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{3}\cdot \frac{1}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:1=1[/tex]
[tex]=\frac{1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6[/tex]
[tex]=\frac{1}{6}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{6}\times\frac{4}{9}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:4}{6\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]
[tex]=\frac{4}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2\cdot \:2[/tex]
[tex]=\frac{2\cdot \:2}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]
[tex]=\frac{2\cdot \:2}{2\cdot \:3\cdot \:9}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{2}{3\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:9=27[/tex]
[tex]=\frac{2}{27}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{2}{3}\times\frac{7}{8}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{2\cdot \:7}{3\cdot \:8}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:8=2\cdot \:4[/tex]
[tex]=\frac{2\cdot \:7}{3\cdot \:2\cdot \:4}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{7}{3\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]
[tex]=\frac{7}{12}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{2}4\times\frac{2}{5}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}\cdot \frac{2}{5}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]
[tex]=\frac{1}5[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Code: 6 2 12 1
~Learn with Lenvy~
Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What the length of an arc between two consecutive spokes?
Express your answer as a simplified fraction in terms of \piπ.
The length of an arc between two consecutive spokes is 5π/8 in.
Length of an arc
The length of an arc L = rФ where
r = radius of circle = 5 in/2 = 2.5 in and Ф = angle subtended by arc in radians = 2π/n where n = number of sectors in circle = 8So, L = rФ
L = r × 2π/n
L = 2πr/n
Substituting the values of the variables into the equation, we have
L = 2πr/n
L = 2π × 2.5 in/8
L = 5π/8 in
So, the length of an arc between two consecutive spokes is 5π/8 in.
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Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the
card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each
DVD?
Answer:
C (third answer choice)
Step-by-step explanation:
This is because there is money left over after she buys 4 DVDs, so each DVD must be less than $12.50 each, otherwise she would have spent at least $50 on them which is not what is being said.
Answer:
C
Step-by-step explanation:
I took test on edge :)
what is angle ecb? (rhombus)
==================================================
Explanation
The diagonals of a rhombus are always perpendicular.
This leads to triangle ECB being a right triangle. The 90 degree angle at point E.
The other acute angles add to 90
C+B = 90
(5a+4) + (8a-5) = 90
13a-1 = 90
13a = 90+1
13a = 91
a = 91/13
a = 7
This value then leads to:
angle ECB = 5a+4 = 5*7+4 = 35+4 = 39 degreesangle CBE = 8a-5 = 8*7-5 = 56-5 = 51 degreesNote how 39+51 = 90 to confirm that C+B = 90 is correct. This confirms the correct 'a' value and final answer.
8) Imani spent half of her weekly allowance
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with
$12?
how would i solve this in a two step equation? pls and thanks
Answer:
See below.
Step-by-step explanation:
We can represent Imani's weekly allowance with the variable a. The equation you can write is:
1/2a+4=12
2(1/2a+4)=2(12)
a+8=24
a=16
The Imani's weekly allowance value is $16.
To solve this problem using a two-step equation, follow these steps:
Step 1: Let's represent Imani's weekly allowance with the variable "x."
Step 2: We know that Imani spent half of her allowance playing mini-golf, so the amount she spent is (1/2) × x. Additionally, she earned $4 by washing the car. Therefore, the equation becomes:
x - (1/2) × x + 4 = 12
To solve this equation, we need to combine like terms and isolate the variable "x":
(1/2) ×x = 12 - 4
(1/2) × x = 8
Next multiply both sides of the equation by 2 to eliminate the fraction:
2 × ((1/2) × x) = 2 × 8
x = 16
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Analyze each situation. Identify a reasonable domain and range for each situation. Explain.
a. A bowler pays $2.75 per game.
b. A car travels 25 miles using 1 gallon of gas.
Answer: A The domain is all positive integers, because the bowler could not play a fractional or negative number of games.
The range is multiples of 2.75.
B The domain is all positive real numbers, since a portion of a gallon of gas could be used.
The range is all positive real numbers.
eight to the power of 2 plus three to the power of 2
Answer: 73
Step-by-step explanation:
8² = 64 3² = 9 64 +9 = 73
8 to the power of 2 means 8 × 8 that is 64
3 to the power of 2 means 3 × 3 that is 9
Pls help with this is laws of exponents pls help
These are the laws of exponent.
Hope it will help you......100 POINTS!!!
Company A and B are cleaning
companies. Who has a lower initial
value?
A. Company A
B. Company B
EXPLAIN
Answer:company b
Step-by-step explanation:
it would cost $75 to hire company b and $90 to hire company a.
Grayson is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, and a physics textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
9
Step-by-step explanation:
you multiply the number of textbooks by itself to figure out how many lineups are possible
A rectangular lawn has area 140 square yards. Its length is six less than twice the width. What are the width and length of the lawn?
Answer:
width = let width be w
area = 140
length = 2w-6
Area of a rectangle = l*b
⇒ 2w-6*w=140
⇒ [tex]2w^2-6=140\\2w^2 = 146\\w^2 = 146/2\\w^2 = 73\\w = \sqrt{73}[/tex]
I need the answer right now. I’ll give 40 points
sorry its 13 1/8 lol
Which relationship would form a graph that is not a straight line?
Answer:
D
Step-by-step explanation:
The last line is not a straight line because when you start from 1 and plug higher numbers, you see that forms a quadratic curve or parabola.
write 402 base five in words
Answer:
three thousand one hundred and two
Step-by-step explanation:
Step-by-step explanation:
three point seven two five eight
brainiest please
Solve for p in the literal equation 9p + 7r = q.
Answer:
p = [tex]\frac{q-7r}{9}[/tex]
Step-by-step explanation:
Given
9p + 7r = q ( subtract 7r from both sides )
9p = q - 7r ( isolate p by dividing both sides by 9 )
p = [tex]\frac{q-7r}{9}[/tex]
Answer: p = q - 7r ÷ 9
Give two examples as to how pi is used in every day life
Answer:
In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few
Step-by-step explanation:
Which set of side lengths would create a unique triangle?
a. 4 cm, 8 cm, 4 cm
b. 12 in, 8 in, 15 in
c. 2 ft, 9 ft, 12 ft
d. All of the above
Answer:
the set of side length would be 4cm, 8cm,4cm
100000x444444444444444444
Answer: 4.4444???
Step-by-step explanation:
Answer: 2.65787 × 10²
plz mark brainliest:)
Rhonda went out to dinner.
• The price of her meal was
$15.55.
• The sales tax was 7% of the
price of the meal.
• The tip was 18% of both the
meal and the sales tax.
How much money did Rhonda
pay for the meal, including tax
and tip?
Answer:
18.54
Step-by-step explanation:
15.55 X 7% = 1.0885
15.55 + 1.0885 = 16.6385 X 18% = 2.99493
15.55 + 2.99493 =18.54493
can you help me please?
Answer: D. $12.00
Step-by-step explanation:
Looking at the table you will see that the increment from 3 to 4 is $12.00
You can find this by subtracting 3 from 4.
48-36 = 12
If you fill in the table with $12.00, you will see it is consistent with the other values.
I hope this helps.
Answer:
$24
Step-by-step explanation:
You have to multiply the hours worked by 12
pls mark brainliest
The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced.
▪ Answer:
40%
▪ Step-by-step explanation:
Hi there !
$20 ........ 100%
$12 ..............x %
x = 12×100/20
= 1200/20
= 60%
100% - 60% = 40%
Good luck !
The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model
P = 180 + 80x − 0.5x^2.
What expenditure for advertising yields a maximum profit?
Answer:
20 hundreds of dollars or 2,000 dollars
Step-by-step explanation:
idrk i think this is right but corect be if im wrong
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
(Will mark brainliest)
Answer:
Step-by-step explanation:
Stamps can be brought in a book of 20. how many books will a customer need to mail 50 invitations
Answer:
2.5
Step-by-step explanation:
All you have to do to figure this out is divide your 50 invitations by twenty stamps because there is 20 stamps in one booklet. 50 divided by 20=2.5
Answer:
3 books
Step-by-step explanation:
Assuming that you cannot buy a partial book of stamps, you would have to buy a surplus in order to obtain (at least) 50 stamps. That is because 50 is not a multiple of 20.
In theory you would need 2.5 books of stamps, but that half-book should be counted and rounded up to three. You wouldn't have sufficient stamps if you buy only 2 books.
what is the value of
[tex] \sqrt{(p { }^{2} } - 4q) \: if \: p = 6 \: and \: q = 5[/tex]
Answer:
4
Step-by-step explanation:
Given :-
p = 6
q = 5
√(p² - 4q)
To Find :-
Value of expression after evaluation
Solving :-
= √(6)² - 4(5)
= √36 - 20
= √16
= 4
Solution :-
4
Answer:
4
Step-by-step explanation:
Solving
Step 1: Plug in the values of p and q.
[tex]\sqrt{(6^2-4*5)}[/tex]Step 2: Solve exponents.
[tex]\sqrt{(6*6-4*5)}[/tex] [tex]\sqrt{(36-4*5)}[/tex]Step 3: Solve multiplication.
[tex]\sqrt{(36-20)}[/tex]Step 4: Subtract 20 from 36.
[tex]\sqrt{16}[/tex]Step 5: Solve square root.
[tex]\sqrt{16} = 4[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
Tylen and his friends perform an investigation in math class where they record the color of candy they pull out of a bag 15 times in order to predict how
many total pieces of each color are in the bag.
Once they pull
out a candy, they put it back in the bag before they pull another one.
They pull 9 red candies and 6 blue candies.
-
Part A: Based on the boys'investigation, how many red candies will they expect to find in a bag of 120? (1 point
Answer:
I think they expect to find 40 red candies.