Answers
Answer:
Radius of P = 5 cm
Step-by-step explanation:
Radius (r) of Q = 20 cm
Area of Q = 4 × Area of P
This means that:
Area of the quarter circle (Q) = 4 × Area of the circle (P)
Thus:
¼(πr²) = 4 × πr²
Plug in the values into the equation
¼(π*20²) = 4 × πr²
Find the value of r, which is the radius of P
¼(400π) = 4πr²
Multiply both sides by 4
400π = 4πr²*4
400π = 16πr²
Divide both sides by 16π
400π/16π = r²
25 = r²
Take the square root of both sides
√25 = √r²
5 = r
r = 5
Therefore, the radius of P = 5 cm
Related Questions
A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal
Answers
Given:
The length of the football field = 360 feet
The length of the titanic = 883 feet
To find:
About how many football fields long was the titanic?
Solution:
We have,
Length of the football field = 360 feet
Length of the titanic = 883 feet
Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.
[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]
[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]
[tex]\text{Number of required football fields}=2.452777...[/tex]
[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]
[tex]\text{Number of required football fields}\approx 2[/tex]
Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].
1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.
What is the mode of this data set?
https://scope.schoolobjects.com/eduphoria_webcontrols/tests/TestImage.aspx?bnk=cscope&aid=79a723b3-8302-4a87-94fa-3a7a8ae740ee&mode=edit
Answers
Answer:
screenshot the data set instead of giving a link then i will be able to help.
Step-by-step explanation:
What is a dot plot ?
Answers
Answer:
A graphical display of data using dots.
Step-by-step explanation:
The first group had 4 people and shared 3 candy bars equally. The second group had 5 people and shared 4 candy bars equally. The third group had 8 people and shared 7 candy bars equally. The fourth group had 5 people and shared 3 candy bars equally.
Answers
Answer:
what r u asking
Step-by-step explanation:
How can you evaluate 2 to the power of 0
Answers
Answer:
How about this: There's always an implicit 1 in the expansion:
23=2⋅2⋅2⋅1=8
22=2⋅2⋅1=4
21=2⋅1=2
20=1=1
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
Answers
Answer:
We have the inequality:
-46 < -34
This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.
An example to see this is suppose that these numbers represent money.
Because the numbers are negative, then these represent money you owe.
-46 means that you owe $46
-34 means that you owe $34
Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.
Another example is if these numbers represent distance under the surface of the water.
-46 means that you are 46 ft under the surface of the water
-34 means that you are 34 ft under the surface of the water.
Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.
PLEASE Answer asap!!!!
Answers
Answer:
x=0
Step-by-step explanation:
The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]
The given equation is:
[tex]y=x^2-6[/tex]
To make the a and b values more easily identifiable, we can rewrite it like this:
[tex]y=1x^2+0-6[/tex]
Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :
[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]
Therefore, the equation for the axis of symmetry for the parabola is x=0.
I hope this helps!
Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?
Answers
Answer:
68%
Step-by-step explanation:
To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.
= 86.23 ÷ 126.42 × 100
= 68.2% or 68%
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answers
Answer:
B and D
Step-by-step explanation:
What is the reference angle of 255°?
Answers
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers.
How many different pizza combinations are there?
Answers
Explanation
Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).
Answers
Answer:
13.5 if you round it
Step-by-step explanation:
Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185
One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.
Answers
Answer:
Roots of the f(x) is -7 , 4 and 2.
Step-by-step explanation:
Give that
5x^3-5x^2-170x+280 is (x+7)
One factor of f(x) = x + 7
So,
One root , x = -7
First we determine All factors of the given f(x).
Now divide f(x) by given factor the results are given below:
f(x) = ( x + 7 ) ( 5x² - 30x + 40 )
= ( x + 7 ) ( 5x² - 20x - 10x + 40 )
= ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )
= ( x + 7 ) ( x - 4 ) ( 5x - 10 )
Now
Place x = -7 in the given function,
f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0
So, First root is -7
Now, Place x = 4
f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0
So, Second root is 4
ANd, place x = 10/5 = 2
f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0
So, Third root is 2
Therefore, Roots of the f(x) is -7 , 4 and 2.
Someone please solve this today!!
Please show work !
Also don’t waste your time sending that link that hacks you :/
Answers
Answer:
D
Step-by-step explanation:
bx -b -ax +a
collect like terms
bx - ax. + a - b
x(b-a) + b +a
please help me :(:(:(:(:(
Answers
Answer:
$1,568.00
Step-by-step explanation:
I=700 x 0.28 x 8 =1568
The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
Answers
hence (1,7.5) or (5,37.5) points
Anybody help me please!!!!!!!!!!
Answers
help will mark brainliest, 100 points
Answers
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
Give brainliest :)
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answers
Math-way!! I think it’s the third option though❤️ (give me Brainly pls)
Answer:
i dont know but its b
Step-by-step explanation:
write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help
Answers
Answer:
Step-by-step explanation:
5.364
pls help im new to this and i could use a little help on this problem tysm if you do!!:)<33
Answers
Answer:
HOOO YOU SHOULD KNO THIS!!!
Step-by-step explanation:
Answer:
the answer is -2.
Step-by-step explanation:
trust me???
WILL VOTE BRAINLIEST, 50 POINTS
Answers
Answer:
-1
Step-by-step explanation:
[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]
I NEED HELP IM STUCK!!!!!
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
A) 10 inches
B) 2√5 inches
C) 5√2 inches
D) 25 inches
Answers
Answer:
C) 5√2
Step-by-step explanation:
what two numbers multiply to 36 and add to -20
Answers
Answer:
Those numbers are -18 and -2
Explanation:
(-18)*(-2)=36
-18+(-2)=-18-2=-20
Answer:
x*y=36
x+y=-20
so it would be -18 and -2, :)
Step-by-step explanation:
Solve the inequality x + 1 > 5. Then graph the solutions.
Answers
6 - x > 15
-x > 15 - 6
-x > 9
-x/-1 < 9/-1 (divide by -1; reverse sign of inequality)
x < -9
Solution to Inequality #2:
8x < 1
x < 1/8
OR
x - 9 > -5
x > -5 + 9
x > 4
Solution to Inequality #3:
|x + 3| >= 4
Positive Case:
x + 3 >= 4
x >= 4 - 3
x >= 1
Negative Case:
-1(x + 3) >= 4
-x - 3 > = 4
-x >= 4 + 3
-x >= 7
-x/-1 <= 7/-1 (divide by -1; reverse sign of inequality)
x <= -7
How many ways can you write a ratio?
Group of answer choices
Answers
Answer:
A ratio can be written in three different ways: with the word “to”: 3 to 4. as a fraction: . with a colon: 3 : 4.
Step-by-step explanation:
Express the number 4.6 x 108 in standard form
Answers
Answer:
496.8
Step-by-step explanation:
because there is o value
MARKED BRAINLIEST!!!
Answers
Answer:
(3,-4)
Step-by-step explanation:
Sorry if it is wrong
Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothles Total
27
250
Eighth-graders 223
Ninth-graders 240
10
250
Total
500
463
37
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.02
OB. 0.50
O C. 0.27
O D. 0.05
Answers
Answer:
The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.
So the correct answer is 0.18
(This is for another question like this)
Your answer would be D.) 0.05
Answer: It’s 0.05
Step-by-step explanation:
Got it correct
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answers
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5