Answer:
Length of Radius of large circle= 8
Lenght radius of first circle= 2
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
The sum of the areas of two circles is 80π square meters. Find the length of a radius of each circle if one of them is twice as long as the other.
What is the radius of the larger circle?
Area of a circle can be calculated by Below formula
A = πr^2............eqn(1)
Let ( X) = area of first circle
Y= the area of second circle
Rx= radius of first circle
Ry = radius of second circle
From the question, we know that
[X+ Y] = 80π .......eqn(2)
Substitute the radius formula for the area,
[π(Rx)^2 + π (Ry)^2] = 80π ......eqn(3)
But from the question, Radius of second circle is twice of the second one, then
Ry = 2Rx ..........eqn(4)
If we substitute eqn (4) into eqn(3)
[ π(Rx)^2 + π (2Rx)^2 = 80π
If factorize π out, then cancel it out
π[(Rx)^2 + π (2Rx)^2 = 80π
Then we have
(Rx)^2 + 4(Rx)^2 = 80
5(Rx)^2 = 80
(Rx)^2= 80/5
(Rx)^2= 16
(Rx)= 4
From eqn(4)
Ry = 2Rx
Ry= 2(4)
Ry= 8
Rx= 2 and Ry= 8
Hence, radius of first circle= 2
Lenght Radius of second circle= 8
Nancy goes to the Post Office to exchange money.
Exchange Rates
£1:$1.31
£1 : €1.14
*Commission Charged
$ £ €
Nancy changes $759.80 and €342 into pounds sterling.
The Post Office deducts their commission and gives Nancy £827.20
What is the percentage commission?
Answer:
6% commission
Step-by-step explanation:
Exchange Rates
£1:$1.31
£1 : €1.14
$759.80 to pounds sterling :
£1 = $1.31
x = $759.80
Cross multiply :
x = 759.80 / 1.31
x = £580
£1 = €1.14
x = €342
Cross multiply :
x = 342 /1.14
x = £300
Total = £(580 + 300) = £880
Amount deducted = commision = £880 - £827.20 = £52.80
Percentage commission :
(52.80 / 880) * 100%
0.06 * 100%
= 6% commission
A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help
Answer:
The length of each edge of the cube is 3 mm
Step-by-step explanation:
A cube has a volume of 27 mm.
Volume of cube = l³
l³ = 27 mm
l = 3 mm
Thus, The length of each edge of the cube is 3 mm
-TheUnknownScientist
Given a set of data that is skewed right, there is at least ___% of the data within three standard deviations.
Answer:
75%
Step-by-step explanation:
The right skewed data set means the data mostly lies in the right tail. There is majority of data present in the right tail of the data set. The mean, median and mod all are different for the rightly skewed data set.
Cash Orcheck had a balance of $867 in his checking account on
January 1. During January, Cash wrote checks for the following
amounts: $98. $456, $29, and $381. What was his balance at the
end of January?
Answer:
Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.
98+456+29+381= 964
867-964= -97
His final balance would be -97
Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.
So here are the two options
1) At least one or at most 2 checks must’ve bounced
2) He got more money in his checking account
9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?
Answer:
T=45m+23
Step-by-step explanation:
Answer:
T=45m+23
Step-by-step explanation:
Write an equation and solve. If hamburgers cost $4 each, how many can you buy with $12? a. 4x = 12; 3 hamburgers c. 12x = 4; 3 hamburgers b. 12 - 4x = 8; 8 hamburgers d. 4x - 12 = 8; 5 hamburgers Please select the best answer from the choices provided A B C D
What fraction is equivalent to 75% of 1/3
Answer:
1/4
Step-by-step explanation:
which are the complementary angles?
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
please amrk this answer as brainliest
Evaluate the function.
Answer:
Step-by-step explanation:
Nothing further can be done with this topic.
f ( x ) = 3 x 2 − 10 x − 9
how do you write 3,901.25 as a scientific notation?
Answer: 3.90125×10⁻³
Step-by-step explanation:
The scientific notation consists of two parts
the number based: a, where 0<a<10the exponent based: 10ˣ, which is determined by how we change the number based "a"So the final version should be: a×10ˣ
-------------------------------------------------------------------
STEP ONE. Number based
We are given 3,901.25
In order to make it within the range of a, we should move the decimal to the left three places, or divide the number by 10³, which is times 10⁻³
We get 3.90125
STEP TWO: Exponent based
Since we changed the number by 10⁻³, this will be our exponent-based.
Therefore, it is 3.90125×10⁻³
Hope this helps!! :)
Please let me know if you have any questions
HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE
Answer:
E = (-3a, -2b)
O = (3a, 2b)
M = (3a, -2b)
Step-by-step explanation:
250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.
Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.
What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?
Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department. In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program. All Program C students take a minimum of five core math courses: Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.
Step-by-step explanation: Hope this helps.
Answer:
2/5
8/25
2/25
16/25
Step-by-step explanation:
You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**
HELPPP MEE QUICK PLEASEE I NEED IT NOWW :’) NO LINKS NO BOTS I WILL REPORT !! Which of the following are point-slope equations of the line going through
(-3,-5) and (2,4)? Check all that apply.
I think its options b c and e
Which is an example of a quadratic function whose graph opens downward and has its vertex at (0, 1)?
A. y = −x^2 + 1
B. y = x^2 + x − 1
C. y = x^2 + 4x + 1
D. y = x^2 − 1
Given:
The graph of a quadratic function opens downward and has its vertex at (0, 1).
To find:
The quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex.
If a<0, then graph opens downward and if a>0, then graph opens upward.
It is given that the quadratic function opens downward and has its vertex at (0, 1). It means a must be negative.
Putting h=0 and k=1 in (i), we get
[tex]y=a(x-0)^2+1[/tex]
[tex]y=ax^2+1[/tex]
For [tex]a=-1[/tex],
[tex]y=(-1)x^2+1[/tex]
[tex]y=x^2+1[/tex]
So, option A is correct.
In other options the leading coefficient is positive it means their graphs open upward. So, options B, C and D are incorrect.
Therefore, the correct option is A.
How many yards are equal to 144 inches? (15 points)
Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards
Answer:
A- 4 yards
Step-by-step explanation:
Hope this helps!
Have a nice day <3
After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.
Given that,
Change the number 144 inches into yards.
Used the concept of measurement unit which stated that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
Since we know that,
1 yards = 36 inches
1 inch = 1/36 yards
So, we can change the number 144 inches into yards,
1 inch = 1/36 yards
144 inches = 144/36 yards
= 4 yards
Therefore, 144 inches is equivalent to 4 inches.
Option (a) is true.
To learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ6
how many times is 3 in 43.999 than the value of the digit 3 in 42.103
Answer:
1. 14.666 ¯ over the 3
2. 14.034 ¯ over the 3
Step-by-step explanation:
sin(45°) *
1. 3/2
2. 1/2
3. 2/2
4. 0
5. 1
6. Undefined
Answer:
None of these are the correct choices
Step-by-step explanation:
Need help on this for brainliest
Answer:
Your answer is letter d
Step-by-step explanation:
a business owner pays $500 a week for rent.He also pays an employee $16 an hour.If his total weekly expenses are $1,172 ,how many hours did his employee work?
Solve for u.
11u = -22
Simplify your answer as much as possible. <3
u = ???
Answer:
u=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
11u=−22
Step 1: Divide both sides by 11.
11u
11
=
−22
11
u=−2
Answer:
u=−2
Number 10 please help 10 points no links pleAse
Answer:
A. (8,14)
Step-by-step explanation:
When looking at the chart pairs there is no other matching option than (8,14).
You have to look in at each column to see the pairs (ex. 8,16 and 4,10).
use the graph f(x)=-x^2+8x+20 to determine the values of m for which m= -x^2+8x+m=0 will have two positive roots
Answer:
first root -2 and the second is 10
Step-by-step explanation:
delta=b squared-4ac=64-4(-1)(20)=144>0
then we have 2 +roots
x1= -b+ radical delta/2a =-2
x2=-b - radical delta/2a=10
The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.
What is a polynomial?A polynomial is an expression that involves the addition, subtraction and multiplication of variables.
A quadratic polynomial is a polynomial of degree 2.
Given that:
f(x)=-x² + 8x + 20
To determine the values of m for which -x² +8x+m=0 would have two positive roots
For -x² +8x+m=0 to have two positive roots, m ≤ 0.
The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.
Find out more on polynomial at: https://brainly.com/question/2833285
Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the boots was $150. What did Sandra pay for the boots
Answer:
130 maybe
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
It is 120 because if you do 20% of 150 that's 30 so subtract that with 150 leaving you 120.
Plzzzz help worth 30 points plzzzz help
Answer:
$0.70
Step-by-step explanation:
What is the volume of the prism below?
A. 56 units 3
B. 144 units
C. 288 units
D. 180 units
Answer:
C ,288Step-by-step explanation:
hope this helpsmaggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths
Answer:
21 3/5
Step-by-step explanation:
I think the answer is 21 3/5 because
6×3 3/5=21 3/5 but I'm not positive.
True or False
Is 2-1 = 21 ?
Answer:
false
Step-by-step explanation:
8. Sheila and her study partner flipped a coin 120 times. They flipped 70 heads and 50 tails. What is the
experimental probability that the next flip will be heads up?
F 58%
58%
G 50%
H 41%
J 70%
Answer:
.
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
To find the amount of percent a value takes up, here's the formula:
Let X = heads
Let y = amount of coinflips
Let z = percent of coinflips are heads
z=x/y
If angle 3 is 3x and angle 5 is 2x+30, what are the measures of angle 3 and 5?
Answer:
23
Step-by-step explanation: