Answer:73.6fr^3
Step-by-step explanation:
The volume of the sphere is [tex]73.57ft^3[/tex].
What is the volume of sphere?
The volume of sphere is the amount of space occupied, within the sphere. The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre.
[tex]V=\frac{4}{3}\pi r^3[/tex]
here [tex]r[/tex] is the radius and it is [tex]r=2.6ft[/tex]
So,
[tex]V=\frac{4}{3}\pi r^3\\\\V=\frac{4}{3}(3.14)(2.6)^3\\\\V=\frac{4}{3}(3.14)(17.576)\\\\V=\frac{4(55.18)}{3}\\\\V=\frac{220.72}{3}\\\\V=73.57ft^3[/tex]
Hence, the volume of the sphere is [tex]73.57ft^3[/tex].
To know more about the volume of sphere
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Jailyn has ½ of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will Jailyn and her 3 friends each receive?
Answer:
Jailyn and her 3 friends will each receive 1/8 of the original pizza.
Step-by-step explanation:
Given that Jailyn has ½ of a pizza left over and she is sharing that with 3 friends, it means that the left over will be divided in 4 pieces and you have to divide 1/2 by 4 to find the fraction of the original pizza that Jailyn and her 3 friends will each receive:
[tex]\frac{1}{2}[/tex]÷4= [tex]\frac{1}{2}[/tex]÷[tex]\frac{4}{1}[/tex] = [tex]\frac{1*1}{2*4}[/tex] = [tex]\frac{1}{8}[/tex]
According to this, the answer is that Jailyn and her 3 friends will each receive 1/8 of the original pizza.
The base of an isosceles triangle is 16 cm long. The equal sides are each 22 cm long. Find the height of the triangle.
Given:
The base of an isosceles triangle is 16 cm long.
The equal sides are each 22 cm long.
To find:
The height of the triangle.
Solution:
We know that the altitude of an isosceles triangle divides the base into two equal parts as shown in the below figure.
According to the Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem, we get
[tex]22^2=h^2+8^2[/tex]
[tex]484=h^2+64[/tex]
[tex]484-64=h^2[/tex]
[tex]420=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{420}=h[/tex] (Because side cannot be negative)
[tex]2\sqrt{105}=h[/tex]
Therefore, the height of the isosceles triangle is [tex]2\sqrt{105}[/tex] cm. Approximate height is 20.49 cm.
Do I need to flip my sign? 3x = -12
Answer:
no
Step-by-step explanation:
3x=-12
/3 /3
x=-4
:)
what two numbers add to -18 and multiply to -81
Please help
Answer:
Thats kinda not possible but -9 and -9 makes -18 but it would multiply to positive 81 i don;t know
Step-by-step explanation:
PLEASE HELP ITS DUE SOON! WILL GIVE BRAINLIST!!
£490 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Stephen get?
Answer:
Stephen gets £147
Step-by-step explanation:
Given
Let
[tex]S = Stephen; B = Bridget; R = Richard[/tex]
So:
[tex]S + B + R = 490[/tex]
[tex]R = 2S[/tex]
[tex]S = 3B[/tex]
Required
Find S
Make B the subject in [tex]S = 3B[/tex]
[tex]B = \frac{S}{3}[/tex]
Substitute: [tex]R = 2S[/tex] and [tex]B = \frac{S}{3}[/tex] in [tex]S + B + R = 490[/tex]
[tex]S + \frac{S}{3} + 2S = 490[/tex]
Take LCM
[tex]\frac{3S + S + 6S}{3}= 490[/tex]
[tex]\frac{10S}{3}= 490[/tex]
Solve for S
[tex]S = \frac{490 * 3}{10}[/tex]
[tex]S = 49 * 3[/tex]
[tex]S = 147[/tex]
Stephen gets £147
What is the length of the hypotenuse triangle below?
Answer:
A (25)
Step-by-step explanation:
Pythagorean Theorm
[tex]7^{2} +24^{2} =x^{2}[/tex]
Please vote brainliest!!!
WILL MARK BRAILIEST TO THE PERSON WHO GET IT RIGHT!
PLZZ HELP!
What is the volume of wax in the candle? Use 3.14 for π and round your answer to the nearest tenth?
Answer:
Hello! Your answer would be, = 1020.5
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Brainlyist for the right answer
Answer:
A and C are the correct answers
Step-by-step explanation:
Answer:
c, a
Step-by-step explanation:
c, a is TRUE.
i hope that is correct
The ratio of boys to girls at school today 4:7. If there are 350
boys at school today, how many girls are there? Round
down.
Answer:
There should be about 612 girls
Step-by-step explanation:
350 divided by 4 = 87.5
87.5 x 7 = 612.5
round 612.5 down, which gets 612
Which is the BEST system to measure the likelihood of an event occurring?
Answer:
A BETWEEN 0 AND 12 B BETWEEN 0 AND 1 C BETWEEN 0 AND 10 C BETWEEN 0 AND 100
Step-by-step explanation:
is this math or...?
pls help ! tysm!!!!!!!!!!
Answer:
332
Step-by-step explanation:
332
I have 10 fish but 3 drown how many are left HURRY
there are still 10 fish.
6 x 2/3 ??? yeah ik its not helping
Answer:
6 * 2/3 = 12/3 = 4
Step-by-step explanation.
you can think about it like this: 6 * 1/3 * 2
1/3 of 6 is 2 because 2 * 3 is 6
2 * 2 is 4, therefore the correct answer is 4
remember doing 6 * 2/3 is the same as doing 6/1 * 2/3 if that helps
A fish is ascending at a
rate of 0.74 feet per
second. What is the
change in the location of
the fish after 22 seconds?
Answer:
he will have ascended 16.28 ft
Step-by-step explanation:
.74x22=16.28
The area of a circle is 113.04 square meters what is its diameter
Answer:
The diameter would be 12.
Which of the following is NOT a Pythagorean triplet?
A. 20.30.40
B. 7 24 25
C. 15 20 25
D. 3 4 5
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
10
24
Answer:
26
Step-by-step explanation:
Use the Pythagorean Theorem.
c^2 = a^2 + b^2
a = 10
b = 24
c = ?
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
sqrt(c^2) = sqrt(676)
c = 26
100 POINTS!!! SHOW ALL WORK PLZ!!! Tarah bought 42 shares of a company’s stock for $16.45 / share. She pays a broker a commission of $7 to buy and
sell stock. After one year, Tarah sold all her shares, when they were worth $20.64 / share.
How much did it cost Tarah to buy the stock? Show your work.
What was Tarah’s net gain or loss? Show your work.
What was Tarah’s annual rate of return? Show your work, make answer a % and then round to tenths place.
Answer:
`a) $697.90
b) $161.98 gain
c) 23.2096% annual return rate
Step-by-step explanation:
a) $16.45 for one share. 42 shares will cost 16.45 x 42 = $690.90
As she used a broker and paid $7, the total cost for Tarah would be $697.90
b) After the investment, Tarah's gain is $20.64 per stock and she had bought 42. So the total income would be 20.64 x 42 = $866.88. However, she used a broker to sell the stocks as well, so the total gain would only be 859.88.
Overall, the cost was -697.90+859.88 = 161.98 net gain.
c) The rate of return would be the percentage of the original price of stocks that is equal to the net gain. What we are trying to find here is:
What percentage of 697.90 is 161.98?
We can find this percentage by doing a simple division (161.98/697.90) which gives us an answer of 0.232096
In percentages, multiply this decimal by 100 to get a 23.2096% annual return.
I hope I am correct, but some of the vocabularies may have messed up my answers. Hope it helps!
Please answer correctly! I will mark you as Brainliest!
Answer:
Volume=8
Step-by-step explanation:
[tex]volume[/tex]⇒[tex]\frac{1}{3}[/tex]×[tex](\frac{1}{2}[/tex]×[tex]3[/tex]×[tex]4^{2}[/tex]×[tex]4)[/tex]
⇒[tex]\frac{1}{3}[/tex]×[tex]3[/tex]×[tex]8[/tex]
[tex]Answer:8[/tex]
hope it helps...
have a great day!!!
Which measurement is equivalent to 84 inches?
A.8 feet
B. 1 yard, 2 feet, 24 inches
C. 7 feet, 4 inches
D. 4 feet, 40 inches
Answer: A
Step-by-step explanation:
Answer: B. 1 yard, 2 feet, 24 inches
Step-by-step explanation: 1 yard is 36 inches. Each feet is 12 inches, but there are 2 feet so 12 times 2 is 24 inches. And the last is just 24 inches. So, 36 + 24 + 24 = 84 inches
A car factory made 30 cars with a sunroof and 9 cars without a sunroof. What is the ratio of
the number of cars with a sunroof to the total number of cars?
Answer:
30:9
Step-by-step explanation:
HELP ME PLEASE find EC
Answer:
12
Step-by-step explanation:
if only EC is a diameter and DO is a radius
Helen draws a random circle.
She then measures its diameter and circumference.
She gets a circumference, C, of 405 mm correct to 3 significant figures.
She gets a diameter, d, of 130 mm correct to 2 significant figures.
Helen wants to find the value of it using the formula n =
1 =
Calculate the lower bound and upper bound for Helen's value of .
Give your answers correct to 3 decimal places.
Answer:
lower bound: 2.996
upper bound: 3.244
Step-by-step explanation:
The value that Helen wants to use is Pi = C/D. The lower bound value is 3.065, and the upper bound for Helen's value is 3.165.
What is circumference?The circumference is the perimeter of the circle.
Given, the circumference, C, at 405 mm to three significant numbers.
She correctly estimates the diameter, d, to be 130 mm to two significant numbers.
Helen wants to find the value of Pi using the formula pi=C/D
We have, the circumference of the circle = C = 405 mm
The diameter of the circle = d = 130 mm
Pi = C/D
= 405 mm / 130 mm
= 405 / 130
= 3.115
3.115, measured to the nearest 0.1.
The degree of accuracy is nearest 0.1.
0.1/2 = 0.05
Upper bound = 3.115 + 0.05 = 3.165
Lower bound = 3.115 - 0.05 = 3.065
Therefore, the lower bound and upper bound for Helen's value are 3.165, and 3.065.
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Solve the problem. Round to the nearest cent.
Brad wants to have available to buy a car in 5 years. How much must he deposit now at compounded monthly to reach that goal?
Group of answer choices
$22,366.96
$12,395.17
$22,905.95
$12,920.84
Answer:
$10,857.8
Step-by-step explanation:
Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?
A = p(1 + r/n)^nt
P = A / (1 + r/n)^nt
P = 17000 / (1 + 0.09/12)^(12*5)
= 17,0000 / (1 + 0.0075)^60
= 17,000 / (1.0075)^60
= 17,000 / 1.5657
= 10,857.8
P = $10,857.8
Using the table, find the average rate of change over the following intervals. I will give brainliest!!
Answer:
[tex]-4[/tex]
Step-by-step explanation:
The formula for average rate of change (AROC) is: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
[tex]\frac{f(2)-f(0)}{2-0}[/tex] ⇒ [tex]\frac{-3-5}{2-0} =-4[/tex]
What is the slope of the line passing through the points (9, -7) and (3, -9)
Answer:
m = 3
Step-by-step explanation:
Notice how x increases by 6 from 3 to 9. 6 is the 'rise.'
Simultaneously, y increases by 2 from -9 to -7. 2 is the 'run.'
The slope, m, is defined as m = rise / run.
Here, m = 6/2, or m = 3
draw the line of reflection that reflect quadrilateral ABCD onto quadrilateral A'B'C'D
Answer:
-3 across the x
Step-by-step explanation:
negative 3 is in the middle of the two, both between point -1 and -5, and point 0 and -6.
When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is [tex]y = -3[/tex]
From the given graph, we have the following observations
ABCD was flipped over to form A'B'C'D'The line of reflection is between both shapesUsing points C and C' as reference;
We have:
[tex]C = (-3,-1)[/tex]
[tex]C' = (-3,-5)[/tex]
Notice that both points have the same x-coordinate
This means that the line of reflection is parallel to the x-axis, and it passes through the y-axis.
The point at which it passes through the y-axis is calculated using mid-point formula.
So, we have:
[tex]y = \frac{y_1 + y_2}{2}[/tex]
[tex]y = \frac{-1-5}{2}[/tex]
[tex]y = \frac{-6}{2}[/tex]
[tex]y = -3[/tex]
Hence, the line of reflection is [tex]y = -3[/tex]
See attachment for the line of reflection
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Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which algebraic representation best describes point U' of triangle S'T'U'?
Answer:
(b, -a)
Step-by-step explanation:
First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)
Note that the coordinates were swapped and the x coordinates negated. Similarly;
Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will be (b, -a)
please help me !!!!!!!!!
Answer:
D. The probability of selecting an orange is ³/₅.
Step-by-step explanation:
A is incorrect because there would be 4 apples combined (3 from bag one, 1 from bag two). That makes the chance of selecting an apple 2/5 (40%), not 3/10 (30%).
B & C are incorrect because 4/10 (40%) is less than 6/10 (60%)
That leaves D, which state that you have a 60% (3/5) chance selecting an orange, as our answer. That is correct as 3/5 = 6/10 = 60%.