31.02 mm.
Step-by-step explanation:
Step 1:
The area of the given circle is 240.48 π sq mm
We need to find the diameter of the circle
Step 2:
The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle
We know that the diameter of circle is 2 times its radius.
Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.
Step 3 :
Using the above method , we have
πr² = 240.48 π
=> r² = 240.48 π / π = 240.48
=> r = √240.48 = 15.51 approximately
Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.
Whisper won’t let me post or respond. Like I can type it out but it will just load. Everything else is just fine (Instagram etc. what’s the problem
Answer: I think that you maybe might have to update it or you could try and delete it the re-install it. That's the best i could come up with at least.
Step-by-step explanation:
Felipe is planning a party. He has $50.00 to spend on sandwiches that cost $2.50 per person, $25.00 to spend on drinks that cost $1.50 per person, and $25.00 to spend on gift bags that cost $3.00 per person. Which expression could be used to show
the amount of money he will have left over if x people attend the party?
50+ 7x
100-7x
2.50%+1.50x+3.00x
100-(2.50x-1.50x-3.00%)
Answer:100-7x
Step-by-step explanation:
If x people are coming, he will spend the following
Sandwiches =2.50 × x= 2.50x
Drinks = 1.50 × x= 1.50x
Gift bags =3 × x=3x
Money left
Sandwiches = 50-2.50x
Drinks =25-1.60x
Gift bags = 25-3x
Total money left = 50-2.50x+25-1.50x+25-3x
=50+25+25-2.50x-1.50x-3x
=100-7x
Answer:
100-7 x
Step-by-step explanation:
I got it right on my test
What is the result of the multiplication of the polynomials below? (x + 1)(x2 − x +1)
Answer:
x^3+1
Step-by-step explanation:
(x^2-x+1)(x+1)
x^3+x^2-x^2-x+x+1
Cancel
x^3+1
Lisa borrowed money at a 6% simple interest rate. IF she paid back a total of $8000 at the end of 10 years, how much did she originally borrow?
Answer:
5000
Step-by-step explanation:
X = money borrowed
supposing that the 6% is a yearly interest, every year she has to add 6% of X to the original amount X
we can write this as
X + 10*6/100X = 8000
X + 6/10 X = 8000
X + 3/5X = 8000
8/5X = 8000
X = 8000*5/8 = 5000
In 45 years, Gabriela will be 4 times as old as she is right now. How old is she right now?
Answer:
15 i guess. I got 15 and 3 months
Answer:
15 years old right now
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a right triangle?
Answer:
30, 72, 78
Step-by-step explanation:
It's a Pythagorean triple
30^2 + 72^2 = 78^2
900 + 5184 = 6084
Juanita begins to factor an expression as shown.
x2+3x-18=(x+D)(x-3)
The value of D is 6
Solution:
Given that,
Juanita begins to factor an expression as shown
We have to find the value of D
Factor the given expression
Split the middle term
Thus the given expression is factored
The value of D is 6
Answer:
6 and 3 would be your answer
Step-by-step explanation:
good luck !! hang in there :))
In the Northern Hemisphere, dolphins swim predominantly in a counterclockwise direction while sleeping. A group of researchers wanted to know whether the same was true for dolphins in the southern hemisphere. They watched 8 sleeping dolphins and found that they swam in a clockwise direction while sleeping the following percentages of time. Assume that this is a random sample and that this variable has a normal distribution in the population. Given the following observations of percentages of time spent swimming clockwise, the mean is (FILL IN THE BLANK) and the median is (FILL IN THE BLANK)
Express your answers as percentages to one decimal place.
77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2
Mean percentage = 88.57 %
Median = 87.1
Solution:
Given that,
Given the following observations of percentages of time spent swimming clockwise
77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2
Total observations = 8
Sum of observations = 77.7+ 84.8 + 79.4 + 84.0 + 99.6 + 93.6 + 89.4 + 97.2
Sum of observations = 705.7
Mean is given as:
Mean percentage:
Find median
Median is the middle value in data set
Arrange in ascending order
77.7, 79.4, 84.0, 84.8, 89.4, 93.6, 97.2, 99.6
Median = 87.1
10. What's 15/45 written as a fraction in simplest form? O A. 15/3
OB. 13
O c. /
O D.315
Answer:
1/3
Step-by-step explanation:
The GCF is 15. 15 divided by 15 is 1, and 45 divided by 15 is 3.
Could you perhaps mark my answer as brainliest?
since 3 is a common factor in both 15 and 45 we can do:
15/3 = 5
45/3 = 15
to get 5/15
now 5 is a common factor in both 5 and 15 so we can do:
5/5 = 1
15/5 = 3
so the simplest version is 1/3
What is the solution of log2x+3125 = 3? (1 point) 0
0
1
x=3
0
0
.
x=4
Answer:
Step-by-step explanation:
Assuming the equation is:
Then taking antilogarithms gives:
We simplify on the left to get:
This gives us:
We subtract 3125 from both sides to get:
Answer:
x=1
Step-by-step explanation:
i did the test
(7x + y)2 – 36(3x + 2y)2
Answer:
i think the answer is 146y-202x
Answer:
−202x+−142y
Step-by-step explanation:
step one:distribute
(7x)(2)+(y)(2)+−216x+−144y
14x+2y+−216x+−144y
step two:combine like terms
14x+2y+−216x+−144y
(14x+−216x)+(2y+−144y)
=−202x+−142y
plz mark me brainliest
What is the answer to 7(p - 14) = 42 ?
Answer:
p=20
Step-by-step explanation:
7(p-14)=42
step one : distribute the 7 inside the parentheses
7p-98=42
step two: get 98 to the other side of the equal sign
7p=140
step 3: get p by itself
p=20
The fuel economy of my car is 40mi/gal. This is 6 mi/ gal less than twice that of mid- size car. Find the fuel economy for the mid-size car.
40=2x-6
fuel economy is 23 of mid size car
On a no wind day, an airplane is flying 2000 miles round trip from Chicago to Boston and back to Chicago with a constant speed of 500 mph. About how long would it take to fly the same round trip if there is a wind speed of 100 mph from Chicago to Boston during the whole round trip flight?
Answer:
It would take the plane about 4.17 hours to fly the whole round trip.
Step-by-step explanation:
Assuming that the distance from Chicago to Boston is 2000/2 = 1000 miles.
Since the wind is blowing from Chicago to Boston, when the plane is traveling to Boston, the velocity of the wind adds to the its velocity:
;
therefore, the time it takes for the plane to go from Chicago to Boston is
Now, as the plane flies back from Boston to Chicago, the wind is blowing opposite the direction of its movement; therefore, the wind's velocity subtracts from the velocity of the plane:
and the time taken during the trip is
Therefore, the total time taken during the whole round trip is
Therefore, on the windy day, it would take the plane 4.17 hours to fly the whole round trip
Let () = x + 6 and () = 5x − 2. Find the solution to the equation () = () by sketching the functions.
f(x) = g(x) at x=2.
Step-by-step explanation:
We have, f(x) = x + 6 & g(x) = 5x - 2. Let's sketch graph step by step :
for f(x):
f(x)= x is a straight line passing through origin. Then , shift graph by 6 units in right so it be comes f(x) = x + 6 .
For g(x) :
g(x) = x is a straight line passing through origin. Then , expansion of graph by 5 units so it becomes g(x) = 5x . Then , shift the graph by 2 units to left so final equation becomes g(x) = 5x - 2.
Now, on comparing graph of both f(x) & g(x) we see that f(x) cuts g(x) at one and only point at x = 2. Also, for x = 2 , f(x) = g(x). ∴f(x) = g(x) at x=2.
The following circle graph represents how the Townsends spend their monthly income What is the central angle measure of the section that represents "Miscellaneous"?
Townsend's Monthly Budget
Food
20%
Miscellaneous
25%
Clothing
10%
Bills
40%
Savings
5%
A.25°
B.54
C.720
D.90°
Answer:
Would be a 90 Degree central angle.
Step-by-step explanation:
The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true? 017)-0(4) =
017-4) 5
7-4 = ā
oli
917)
914)
5
6
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
Therefore, would be the correct statement.
Answer: C on edge
Step-by-step explanation:
2022 papi chulo
What is 8.7 7 reapeating forever as a fraction
Answer:
877/100
hope it's correct Ashlin! :D
Which one is greater than 1 3/24 or 1 2/6
Answer:
1 2/6
Step-by-step explanation:
1 3/24 is simplified to 1 1/8
1 2/6 is simplified to 1 1/3
since the denominator in 1 1/3 is less and the numerators are the same 1 2/6 is greater.
Answer:1 2/6
Step-by-step explanation:
From the above:
3/24 = 0.2
1 2/6 = 14/6 = 2.33
P varies directly as I. If P is 0.5 when I is 4, find P when I is 6
Answer:
P = 0.75
Step-by-step explanation:
Given that P varies directly as I then the equation relating thenm is
P = kI ← k is the constant of variation
To find k use the condition P = 0.5 when I = 4, thus
k = = = 0.125
P = 0.125I ← equation of variation
When I = 6, then
P = 0.125 × 6 = 0.75