Answers
Answer:
The volume of all 9 spheres is 301.6 \(in^3\)
Step-by-step explanation:
Notice that three of the identical spheres fit perfectly along the 12 in side box, therefore we know that the diameter of each is 12 in/3 = 4 in.
Then the radius of each sphere must be 2 inches (half of the diameter). Now that we know the radius of each sphere, we use the formula for the volume of a sphere to find it:
\(V=\frac{4}{3} \pi R^3\\V=\frac{4}{3} \pi (2\,in)^3\\V=\frac{4}{3} \pi\, 8\,\,in^3\\V=\frac{32}{3} \pi\,\,in^3\)
Now, the total volume of all nine spheres is the product of 9 times the volume we just found:
\(V_{all \,9}=9\,*\frac{32}{3} \pi\,\,in^3\\V_{all \,9}=96 \pi\,\,in^3\\V_{all \,9}\approx \,301.6\,\,in^3\)
Related Questions
Are these Triangles Similar? How do you know?
Yes, because their ratios are the same
O Yes because their ratios are not the same
O No, because theur ratios are the same
No, Because their ratios are not the same
Answers
Answer:
O No, because their ratios are the same
Step-by-step explanation:
By ratio, it refers to side lengths.
If we write the side lengths as fractions:
\( \frac{10}{5} \)
and
\( \frac{4}{3} \)
if we cross multiply fractions it must be equal for the triangles to be similar but the result is
30 and 20 so the triangles are not similar because the ratios are not same or equal.
Solve the measurement conversion problem. 1 km = 1,000m Add all amounts then convert
During the camp relay race , the campers had to canoe 500 meters, hike 200 meters, run the trail for 20 meters, and swim for 50 meters . How many kilometers was the relay race?
A) 7.7 kilometers
B) 7,700 kilometers
C) 0.77 kilometers
D) 770 kilometers
Answers
Answer:
The answer is C.) In order to get one kilometer, you have to have 1,000 meters.
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Makayla’s local movie theater has a moviegoer club. The charts in the annual registration fee of $25. However movie tickets are discounted remembers at six dollars per ticket instead of the regular nine dollars per ticket. Let him represent the number of movie tickets Makayla’s purchase a need to write a function tomorrow the amount of money Makayla spent going to the movies doing the club
Answers
Answer:
m = 25 + 6n
Step-by-step explanation:
To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.
the top of an electric pole is s supported by a wire of 26 ft long on the ground level. how far is tightened spot from the foot of the pole if its height is 24 ft?
Answers
Answer:
The tightened spot is 10 feet away from the foot of the pole.
Step-by-step explanation:
1. Draw the diagram. Notice that the shape of the electric pole and its supporting wire creates a right triangle.
2. We know 2 side lengths already (26ft, 24ft), and we need to find 1 more side length. Therefore, to find the 3rd side length of a right-triangle, utilize Pythagoras' Theorem.
⭐What is the Pythagoras' Theorem?
\((C)^2 = (A)^2 + (B)^2\)An equation to find a 3rd side lengthC = hypotenuseA = one legB = another leg3. Substitute the values of the side lengths into the equation, and solve for the unknown side length.
Let B= the distance from the tightened spot to the foot of the pole.
\((C)^2 = (A)^2 + (B)^2\)
\(26^2 = 24^2 + B^2\)
\(676 = 576 + B^2\)
\(100 = B^2\)
\(\sqrt{100} = \sqrt{(B)^2}\)
\(10 = B\)
∴ The tightened spot is 10 feet away from the foot of the pole.
Diagram:
The highest mountain in earth is 29,028 ft. The lowest under sea trench is -35,840ft. Which has the highest absolute value
Answers
Answer:
undersea trench
Step-by-step explanation:
Absolute value is the distance from zero
The highest mountain trench is |29028| or 29028 ft from zero
The lowest under sea trench is | -35840| of 35840 ft from zero
The highest absolute value is the undersea trench
Height always be positive .
Highest mountain in earth=29028ftAbsolute value:-
\(\\ \sf\longmapsto |29028|=29028ft\)
Lowest undersea trench=-35840ftAbsolute value:-
\(\\ \sf\longmapsto |-35840|=35840ft\)
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answers
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
Simplify 8 to the -5th power over 8 to the -3rd power
Answers
Answer:
the first one
Step-by-step explanation:
i had that question
What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
Answers
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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Please help???????????????
Answers
Answer:
A
Step-by-step explanation:
if you dont feel right dont pick my answer
CAN SOMEONE HELP ME ON THIS PLEASE
Answers
Answer:
x= 70
Step-by-step explanation:
Answer:
x=70º
Step-by-step explanation:
(2x+1) and 141 are verical angles.
if two angles are vertical, they are congruent.
now we know 2x+1=141
lets move 1 to the other side
2x=140
now we can simply by dividing both sides by 2
x=70
Please help me help help me please help help me
Answers
We have to solve for x.
We will apply the logarithm properties.
\(\begin{gathered} 2^{x-1}=31 \\ \log _2(2^{x-1})=\log _2(31) \\ x-1=\log _2(31) \\ x=\log _2(31)+1 \\ x\approx4.9542+1 \\ x\approx5.9542 \end{gathered}\)Answer: x = 5.9542
Please provide the answer
Answers
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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Select the correct comparison.
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.
Answers
Answer:
The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
A P E X, hope it helps.
Answer:
it's B
Step-by-step explanation:
took the quiz
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?
h = 10.75
h = 18.75
h = 20.25
h = 22.5
Answers
Answer: h = 22.5
Step-by-step explanation:
Total angle area of a 12 sided polygon is 1800
1. One angle would be 1800/12= 150
8h - 30 = 1502. Add 30 one each side to cancel out and only leave 8h.
8h = 1803. To get rid of the 8 we divide the the other side by 8.
h = 22.5The answer is 22.5
Answer: D 22.5 i got it right on the exam
Step-by-step explanation:
How can 1% of 300 be used to determine 64% of 300? Enter your answers in the boxes to correctly complete the statement. Please help me!
Answers
Answer:
64% of 300 is the same as 64 times the value of 1% of 300
Step-by-step explanation:
64% of 300 is the same as 64 times the value of 1% of 300 because 64/1 is 64.
Meaning:
0.64 * 300 = 64(0.01*300)
192 = 64(3)
192 = 192
Hope this helps :)
Have a great day!
Answer:
1% of 300 is 3, so 64% of 300 is 192.
Have a beautiful day.
What is the value of this expression please give example? (5.4)×(3.9)
Answers
Answer:
21.06
Step-by-step explanation:
Answer:
21.06
Step-by-step explanation:
You gotta put the big number on top and the smallest on the bottom.Than all you gotta do is times the number on the right first than the left.Then you'll have your answer of 21.0682,77,72,67 find the sequince
Answers
Answer:
Subtract 5 as you go along the pattern.
82-5=77-5=72-5=67...
Step-by-step explanation:
HELPPP ME PRECAL CLASS
Answers
the answer is g(x)= (x+6).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
from the given , we get,
f(x)=x^4
and, f(g(x))= (x+6)^4
hence, the answer is g(x)= (x+6).
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Which of the following functions matches this graph?
Answers
The equation that match the graph is
b. y = 3x^2
What is vertical stretch?In mathematics, a vertical stretch is a transformation of a function that changes the distance between the function's graph and the x-axis without changing its shape.
A vertical stretch multiplies all the y-coordinates of a function's graph by a constant factor greater than 1. This causes the graph to be stretched vertically and move further away from the x-axis.
For example, if we have a function f(x) = x^2, a vertical stretch by a factor of 3 would result in the function g(x) = 3x^2.
The graph of g(x) would be the same as that of f(x), but stretched vertically by a factor of 3.
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Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
Answers
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
Answers
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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Find two consecutive numbers whose sum is 55
Answers
Answer:
27 and 28
Step-by-step explanation:
Answer and Step-by-step explanation:
27 and 28.
27 plus 28 equals 55.
To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.
#teamtrees #WAP (Water And Plant)
Which number is a factor of 51?
07
11
17
26
Answers
Answer:(C) 17
Step-by-step explanation:(c) after some research its what I've seen people say
best of luck!
Find an expression which represents the sum of (8x + Ty) and (2.c – 2y) in
simplest terms
Answers
Answer:
Step-by-step explanation:
(8x + Ty) + (2.c – 2y) = 8x + (T - 2)y + 2.c
If an investment company pays 6% compounded semiannually, how much will you have 5 years from now if you deposit $900?
How much would you earn if it were simple interest instead of compound interest?
Answers
With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.
To calculate the future value of an investment with compound interest, we can use the following formula:
FV =\(PV * (1 + r/n)^{(n*t)}\)
where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.
In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment is 5 years.
Using these values, we can calculate the future value (FV) as follows:
FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)
= \(\$900 * (1.03)^{10\)
= $1,191.02
Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.
If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:
I = P x r x t
where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.
In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:
I = $900 x 0.06 x 5
= $270
Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:
Total = $900 + $270
= $1,170
Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.
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I need help with Kumon math level I 187 B
Answers
Answer:
attached is the answer :)
Step-by-step explanation:
The length of the tangent AB is \(\sqrt{2a^{2}+2b^{2} }\) if the radii of the largest circle is a and the radii of the smallest one is b.
What is the tangent?It is a line that touches a single point on the circle.
How to determine the length of that tangent?Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.
OA=a
Lb=a also
O'L=b-a
In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,
OL=\(\sqrt{(b-a)^{2}+(a+b)^{2} }\)
=\(\sqrt{2a^{2}+2b^{2} }\)
It will be the length of AB also.
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If there are 5 squares, 1 triangle, and 2 circles in a box, what is the possibility of choosing a square? description, fraction
Answers
Answer:
If they all have an equal chance of being chosen, it would be 5/8th
Step-by-step explanation:
There are 8 shapes, and we are looking for 1 type. Our equation is:
\(\frac{1}{8} * s\), where \(s\) is the amount of the shape in the box.
1 over 8 * s, and s=5 because there are 5 squares, which means
The chance is one-eighth, or 1/8.
I apologize if I am incorrect.
Jason wants to fill a cylindrical water tank to its full capacity. He knows that the volume of the tank is equal to the product of , the square of the radius of the tank, and the height of the tank. Jason measured the height of the tank and found it to be 15 feet. He also measured the radius of the cylindrical tank and found it to be 10 feet. If Vrepresents the volume of the cylindrical tank, then which of the following equations can be used to calculate the volume of the tank?
Answers
Answer:
B) \(\sqrt{\frac{v}{15\pi } } = 10\)
Step-by-step explanation:
I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64
Answers
What is the slope of the line shown? The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? please help fast 20 pt will mark the branliest
Answers
Answer:
slope = 1/3, equation is y = 1/3x - 2
Step-by-step explanation:
slope formula = change in y / change in x
= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3
Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.
Answer:
y=1/3x -2
Step-by-step explanation:
points (0, -2) and (6, 0)
Slope- intercept form:
y=mx+b
m=(y2-y1)/(x2-x1)= (0+2)/(6-0)= 2/6= 1/3y=1/3x+b
0= 1/3*6+b b= -2y=1/3x -2