Answer:
[tex]r = 5[/tex] --- Radius
[tex]h = 3.9[/tex] --- Height
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 97in^3[/tex]
Required
Determine different possible values of radius and height
The volume (V) of a cone is calculated as:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute 97 for V
[tex]97 = \frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3
[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]
[tex]291 = \pi r^2h[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]291 = 3.14* r^2h[/tex]
Divide both sides by 3.14
[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]
[tex]\frac{291}{3.14} = r^2h[/tex]
[tex]92.68 = r^2h[/tex]
From the question, we understand that:
[tex]r \ne h[/tex]
So, we have to assume a value for either r or h and then solve for the other variable.
Let [tex]r = 5[/tex]
So, We have:
[tex]96.28 = 5^2 * h[/tex]
[tex]96.28 = 25 * h[/tex]
Make h the subject
[tex]h = \frac{96.28}{25}[/tex]
[tex]h = 3.8512[/tex]
[tex]h = 3.9[/tex] --- approximated
Note that there are other different possible values of h that is true for
[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]
Yapın.............. Bir sürpriz.. yardımcı olur musunuz
Answer:
parmak izlerimiz birbirinden farklıdır.
bireysel farklılıklara saygı duyulması insanlar birbirlerini asalanaya başlar ülkede iç savaş çıkabilir mesela
. Chris read 25 books in 135 days. At this rate, in how many days will he read another 5 books? Another 10 books?
Answer:
5 books - 27 days
10 - 54 days
15 books - 81 days
Step-by-step explanation:
First, you need to find how many days it takes to read one book, to do this, simply divide 135 by 25 (135/5=5.4). Then, you multiply that number by the amount of books it wants to know how long it would take him to read (5 and 15 since it asks "another 10". It could also be 54 if it was asking how many for 10 books not including the 5 he would have read). 5*5.4=27, 10*5.4=54, and 15*5.4=81.
16 üssü 5 sayısının 1 ➗ 8 i kaçtır?
Answer:
The answer is 131072
Step-by-step explanation:
[tex] \frac{1}{8} \times {16}^{5} = 131072[/tex]
b.
cups of water fill
14
Identical water bottles. How many cups fill each bottle?
Answer:
bro how many cups fill 14 indentical water bottles
Step-by-step explanation:
question is in complete
or if I take it as x then x/14
hope it helps you
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How many solutions does this equation have?
10n + 8 = 3 + 10n
3 What is the value of x2 + 4 for x = 5? -))
Answer:
14
Step-by-step explanation:
substitute 5 for x
5(2) + 4 = 10 + 4 = 14
The measure of angle 1 is 130°.
2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 4, 3, 2.
Which other angle must also measure 130°?
Answer:
The angle opposite angle 1
Step-by-step explanation:
Opposite angles have the same degree when two lines intersect because they are vertical angles.
Answer:
3
Step-by-step explanation:
math is so hard man but can someone help me
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
No, because
the first function if you further calculate you have
y= 3(x +5) is y = 3x+15 ; since you have to distribute
the second function if you have to translate is y=3x+5 because if you read it out loud the equation now you will say y equals 3 times x plus 5 like was given
Mrs. Smith is making christmas baskets and wants to evenly divide the 36 ornaments and 24 candy canes so that each basket has the greatest number of
ornaments and candy canes without any left over. When you make the greatest # of baskets, how many ornaments will be in each basket?
A.2
B.3
C.6
D.12
Answer:
C.
Step-by-step explanation:
It is c because 6 can go into both of those numbers when multiplying
Answer:
B. 3
Step-by-step explanation:
We are looking for the greatest number of baskets. The greatest number of baskets is the greatest number that divides evenly into both 36 and 24.
We need to find the greatest common factor of 36 and 24 to find the greatest number of baskets.
36 = 2^2 * 3^2
24 = 2^3 * 3
GCF = 2^2 * 3 = 4 * 3 = 12
The number of baskets is 12.
Now we need to find the number of ornaments that will go in each basket.
36 ornaments / 12 baskets = 3 ornaments/basket
Answer: B. 3
You roll a 6-sided die. What is P(factor of 10)? Write your answer as a percentage rounded to the nearest tenth.
Answer:
5 is the factor of 10. 5% of 10
An isosceles triangle includes two 72°
angles. Which equation could be used to
find the measure of the third angle?
A X + 72 = 180
B X = 180 - 72
C 72-X= 180
D 180 - 2(72) = X
I don't understand the options but I will explain it to u!
Step-by-step explanation:
An Isosceles triangle has two equal sides that means , In this question it is given that there are two 72°angles so,
72+72+x =180
(Transpose)
x = 180-(72+72)
x = 180-(144)
Therefore, x= 36
In an isosceles triangle, two sides are equal and their opposite angles are also equal. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
An isosceles triangle includes two 72° angles.
In an isosceles triangle, two sides are equal and their opposite angles are also equal.
And the sum of the angles of the triangle is 180°.
Let the third angle be x. Then we have
72° + 72° + x = 180°
180° - 2(72°) = x
Thus, the correct option is D.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Jake needs more than 1 3/5 cups of flour to make cupcakes. Which is greater than 1 3/5? A) 8/5 B) 1 3/4 C) 1 2/5 D 1 3/8
Answer:
C) 1 3/4
Step-by-step explanation:
A) 1 3/5=1 12/20
B) 8/5=32/20=1 12/20
C) 1 3/4=1 15/20
D) 1 3/8=less than 1 3/4
Answer: Choice B) 1 & 3/4
============================================================
Work Shown:
Convert each fraction or mixed number into its equivalent decimal form. Use a calculator or long division.
1 & 3/5 = 1 + 3/5 = 1+0.6 = 1.68/5 = 1.61 & 3/4 = 1 + 3/4 = 1 + 0.75 = 1.751 & 3/8 = 1 + 3/8 = 1 + 0.375 = 1.375The decimal value 1.75 is larger than 1.6, so this shows that 1 & 3/4 is larger than 1 & 3/5
I need help with this question.
Answer:
[tex]13 {z}^{8} [/tex]
Step-by-step explanation:
The temperatures of two cities were measured at the same time. The
temperature in city A was 60 degrees and rose at a constant rate of 2
degrees per hour.
The temperature in city B was 40 degrees and rose at a constant rate
of 10 degrees per hour.
Enter the number of hours it took for the temperature to be the same in
both cities.
Answer:
2.5 hours
Step-by-step explanation:
60+2t=40+10t
hope this helps, have a great day :)
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Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Answer:
Look Below
Step-by-step explanation:
7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.
The system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
To write a system of inequalities.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given that:
The system of equation of inequalities are
h+s≤35
7h + 9s >_314
Therefore , the system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
Learn more about inequality here:
https://brainly.com/question/21612724
#SPJ5
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
15 POINTS!!
answer the question in the picture
Answer:
10, 0, 2.
Step-by-step explanation:
It means that the number is greater than -3.
So, 10, 0, 2, are all greater than -3, and all the other numbers are smaller. So 10, 0, 2 are the numbers that are part of the solution for x>-3.
Answer:
10(a), 0(c), 2(d)
Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches
Answer:
355 square inches
Step-by-step explanation:
Answer:
Step-by-step explanation:
b=355
help today hi have to finish this and I have like 21 more assignments to go
Answer:
Characteristics? I don't know
Step-by-step explanation:
Answer:
I'm answering so you can give him brainliest!
Step-by-step explanation:
1.) 5n + 44/n, (n = 11)
CAN SOMEONE HELP LIKE RN I NEED IT QUICK
what is the factored form of 3/4(24x + 28) - (4x - 1)?
Answer:
2(7x + 11)
Step-by-step explanation:
3/4 ( 24x + 28) - (4x - 1) = 18x + 21 - 4x + 1 = 14x + 22 = 2(7x + 11)
Answer:
2(7x + 11)
Step-by-step explanation:
3/4 (24x + 28) - (4x - 1)
= 18x + 21 - 4x + 1
= 14x + 22
= 2(7x + 11)
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A landscaping company charges customers a
one-time fee and an hourly rate of $10. For 1
hour of service, the company charges $35.
3. Which equation represents the total
charge t for h hours of landscaping?
Ot=10h
=10h+25
0
=250 + 10
Answer:
t = 10h +25
Step-by-step explanation:
let x be the one-time fee
hourly rate is $10
From given condition,
35 = x + 10*1
x = 35 - 10
x = 25
Therefore equation will be
t = 10h +25
The hotdog stand at a baseball game sells hotdogs for $3.50 each. The amount, D dollars, Mr. Moore paid for the hotdogs is directly proportional to the number of hotdogs, H, he buys. Identify the constant of proportionality and write a direc
Answer:
D α H
k = D/H
k = 3.50
Step-by-step explanation:
Amount paid, D is directly proportional to the number of hotdogs, H
D = $3.50 per hot dog
D = $3.50 is directly proportional to 1 hotdog
Hence,
D α H
D = kH
k = proportionality constant
H = 1
3.50 = k
k = 3.50
k = D/H
-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?
Answer:
100 pounds
Step-by-step explanation:
To find their average weight, add all of their weights together then divide it by 3
(100 + 120 + 80) / 3
300 / 3
= 100
So, their average weight is 100 pounds
help help help plz plz plz
Answer:
x = 7
All 8 angles measure 135°
Step-by-step explanation:
(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles
each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°
to solve for 'x':
16x + 23 = 135
16x = 112
x = 112/16
x = 7
check: 16(7) + 23 = 135
112 + 23 = 135
135 = 135
Integer exponents
1. 2(9x - 2y) =
2. 2k3 (2k2 + 5k - 4) =
3. 7(6x2 + 9xy + 10y2) =
4. 8x (6x + 6) =
5. 8r2 (4r2 - 5r +7) =
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer the photo below thanks
Answer: rotation
Step-by-step explanation:
Select the correct answer.
Which equation shows function g in factored form?
[tex]g(x)=2x^2-6x-56[/tex]
A.
g(x) = 2(x2 − 3x − 28)
B.
g(x) = 2(x − 4)(x + 7)
C.
g(x) = (2x + 7)(x − 8)
D.
g(x) = 2(x + 4)(x − 7)
Answer:
The answer is A.
[tex]g(x) = 2( {x}^{2} - 3x - 28)[/tex]
Answer:
Have a great rest of your day :)
Step-by-step explanation:
