Answer:
1206.4 ft³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.
__
formulasThe formula for the volume of a cone is ...
V = 1/3Bh . . . . where B is the area of the base, and h is the height
The formula for the volume of a cylinder is ...
V = Bh . . . . where B is the area of the base, and h is the height
The formula for the area of a circle is ...
A = πr² = π(d/2)² = (π/4)d²
Combining the volume formulas for a figure with the same base area, we have ...
V = B(cylinder height) + 1/3B(cone height)
V = B(cylinder height + 1/3×cone height) . . . . where B is the base area
composite volumeUsing 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...
V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³
The volume is about ...
384π ft³ ≈ 1206.4 ft³
mr.ellis has started a vegetable garden.he bought 15 bags of soil and 3 bags of fertilizer for 282.72.he realized he didnt have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.what was the cost of each bag of soil and fertilizer?let the cost of each bag of soil =x and the cost of bag of fertilizer = y.
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. Ellis has started a vegetable garden.
He bought 15 bags of soil and 3 bags of fertilizer for 282.72.
He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.
Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.
Then we have the linear equations,
15x + 3y = 282.72
5x + 2y = 107.23
On solving the equations 1 and 2, we have
x = 16.25 and y = 12.99
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
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Percy solved the equation x2 7x 12 = 12. his work is shown below. is percy correct? explain. 1. (x 3)(x 4) = 12 2. x 3 = 12 or x 4 = 12 3. x = 9 or x = 8
Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect
How to determine the true solution?The equation is given as:
x^2 + 7x + 12 = 12
The first step in solving the equation is to equate the equation to 0.
i.e.
x^2 + 7x + 12 - 12 = 0
This given
x^2 + 7x = 0
From the question, Percy solved the equation by expanding the expression on the left-hand side
Hence, Percy's solution is incorrect
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Answer:
Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.
How do you solve for area?
2). Barb bought 5 Great America tickets for
$150. If she bought 7 tickets, how much
would that cost?
Answer:
210
Step-by-step explanation:
divide 150 by 5 to get individual cost, multiply by 7 to get total cost
9. Draw a right triangle that has the 90° angle
between 6 cm and 8 cm sides. What is the
length of the third side? How do you know
without measuring?
Topic 16-1 number 13.Draw and label parallel lines XY and RS.Then draw and label TS so it is perpendicular to both XY and RS.Draw point Z on TS.
Envision Math 4th grade
Parallel lines are lines which are equidistant to each other long every point on both lines.
What is a perpendicular line?A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.
It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.
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How much money is 66 2/3% of $48.00
Answer: $32
Step-by-step explanation:
a tomato sauce company currently sells tomato sauce...
Answer:
you are so good are this so keeping up
f(x) = -(x − 3)(x + 4)(x − 1)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $230 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $415 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.
The value of David's investment will be at least $415 after a period of 20 years
Compound interestThe formula for calculating the compound interest is expressed as:
A = p(1+r)^t
Given the following parameters
A = $415P = $230r = 3% = 0.03Substitute
415 = 230(1+0.03)^t
415/230 = 1.03^t
1.8043 = 1.03^t
t = ln(1.8043)/ln1.03
t = 20 years
The value of David's investment will be at least $415 after a period of 20 years
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Write an algebraic expression for each word expression:
A number h divided by 4.2
Answer:
h ÷ 4.2
Step-by-step explanation:
Help with these circle equation questions? will reward brainly
Answer:
Step-by-step explanation:
whats the answer for this qusten
Answer:
The speed i total is 750 meters per second
Step-by-step explanation:
9000/12 = 750
Write the equality in the given diagram below
Answer:
[tex] 3 < x \leqslant - 1[/tex]
Explanation:
the point on the left is closed with the line going to the right so it is greater than or equal to x
[tex] - 1 \geqslant x[/tex]
and the point on the right is open with the line going to the right so it is less than x
[tex]3 < x[/tex]
Please help I don’t get this:
Select the correct answer.
The weight of radioactive material, f(x),is based on the number of days the material has been exposed to the elements, X. An exponential
regression equation relative to the weight of the material is f(x) = 80.402 • 0.931^x. Based on this equation, approximately what is the weight of the radioactive material after 2 days?
OA 5
ОВ.-20
OC 28
OD. 70
Answer:
use half-life formula!
Step-by-step explanation:
for exponential word problems, lots of them use the half life formula.
hope this helps :)
Answer:
C 28
Step-by-step explanation:
:)
A heard of elk increased from 75 in 1998 to 310 in 2005. Find the annual percent of increase for this heard.
Answer:
[tex]313.3333\%[/tex]
Step-by-step explanation:
Based on given conditions, formulate:
[tex] \frac{310 - 75}{75} [/tex]
Calculate the sum:
[tex] \frac{253}{75} [/tex]
Simplify it:
[tex] \frac{47}{15} [/tex]
Convert that to a decimal:
[tex]3.133333[/tex]
Multiply that:
[tex]3.133333 \times \frac{100}{100} [/tex]
Calculate that:
[tex] \frac{3.133333 \times 100}{100} [/tex]
Convert that:
[tex]313.3333\%[/tex]
Jimmy said that a rhombus is always a square. Zach said that a rhombus is always a rectangle. who is correct
Answer:
Jimmy is correct
Step-by-step explanation:
The dimensions of the rhombus and square are probably almost the same
ABCD is a quadrilateral work out CD
In a quadrilateral ABCD, the measure of the length of the quadrilateral CD will be 25.98 cm.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The length of AD will be
tan θ = AB/AD
AD = 12/ tan 35
AD = 17.14 cm
Then the value of the BD will be given by the Pythagoras.
BD² = AB² + AD²
BD² = 12² + 17.14²
BD² = 144 + 239.78
BD² = 437.78
BD = 20.92 cm
Then operate the sine rule in triangle BCD, we have
[tex]\dfrac{BD}{\sin C} = \dfrac{CD }{\sin B}\\\\\\\dfrac{20.92}{\sin 52} = \dfrac{CD }{\sin 102}\\\\\\CD = \dfrac{20.92 \times \sin 102}{\sin 52}[/tex]
On further solving, the value of CD will be
CD = 25.98
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In a 75-minute study period, Ling needed to finish a research paper she spent 3/5 of the time finishing her paper how much time did she have left to complete her history homework?
This railway car is 3.2 m in diameter and 17.2 m long. Calculate its surface area.
A railway car is a cylinder.
Estimate the cost of painting the outside of the railway car, if a can of paint covers an area of 40 m2 and costs $35.
Answer:
answer is 151.3575 dollars.
Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. Find the measures of center for each of the students.
Noah’s scores: 84, 85, 85, 86, 90, 92
Total of 522
Gabriel’s scores: 82, 85, 86, 86, 90, 94
Total of 523
What are Noah’s mean, median, and mode?
What are Gabriel’s mean, median, and mode?
Answer:
Not sure if you still want the answers but here you go
Step-by-step explanation:
Noah's mean: 87
Noah's median: 85.5
Noah's mode: 85
Gabriel's mean: 87.17
Gabriel's median: 86
Gabriel's mode: 86
Answer:
What are Noah’s mean, median, and mode?
✔ 87, 85.5, 85
What are Gabriel’s mean, median, and mode?
✔ 87.17, 86, 86
Step-by-step explanation:
just did it they are correct
Which of the following is true of the interquartile range on a box plot?
4y+8-2y if y=3 what is the answer
Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
The Pyramid of the Sun in Mexico is a square pyramid. The base edge is approximately 220 meters, and the height is approximately 70 meters.
What is the approximate surface area of the sides of the pyramid to the nearest thousand square meters?
The surface area of the square pyramid will be 105768.98 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.
Given that:-
The base edge is approximately 220 metersThe height is approximately 70 metersThe surface area of the pyramid will be:-
[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]
SA = 48400 + 440 √17000
SA = 48400 + 57368
SA = 105768.98 square meters
Therefore the surface area of the square pyramid will be 105768.98 square meters.
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The top of a glass coffee table is a circle. the circumference is 15.7 feet. what is the area of the table? helppp!!
Answer:
19.61505096...
Step-by-step explanation:
Area in a circle is pi(ratio)squared
Circumference is pi multiplied by diameter
Ratio is half of diameter
15.7 divided by pi is roughly 5 (4.997465213 to be exact)
Half of 5 is 2.5
pi(2.5)squared is 19.61505096...
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x 3| 4? check three options. f(x) = –2 (x – 8)2 h(x) = –5 |x| 10 j(x) = –4(x 2)2 8
Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:
h(x) = -5|x| + 10.k(x) = 0.25(x - 4)² + 4.m(x) = 0.25|x - 8| + 6.What is the y-intercept of a function?It is the value of the function when the input is of zero, that is, f(0).
For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:
f(x) = -2(x - 8)² -> f(0) = -128.h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).j(x) = -4(x + 2)² + 8 = f(0) = -8.k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).More can be learned about the y-intercept of a function at https://brainly.com/question/24737967
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jamal is attending a university where fitr tuition one year costs 11,800. he has a scholarship worth 1,500 per year he earns 2,500 per year at his part time job. he plans to take out a loan to cover the remaining tuition costs. Tuition will increase by 100 each year. If he completes collage in 4 years , how much money will jamal need to borrow
Answer:
Jamal will have to borrow 31,800.
Step-by-step explanation:
Total tuition for the full four years = 11,800 + 11,900 + 12,000 + 12,100 = 47,800
Total money from scholarship = 1,500 × 4 = 6,000
Total income received = 2,500 × 4 = 10,000
Total money to borrow = 47,800 - 6,000 - 10,000 = 31,800
Please help me please help me
Consider this equation. cos(0)=-3/10 if 0 is an angle in quadrant ii, what is the value of tan(0)? sqrt91/10 -sqrt91/3 sqrt91/3 -sqrt91/10
The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II
How to determine the value of tan(x)?The expression is given as:
cos(x) = -3/10
Using the following trigonometry identity:
sin²(x) + cos²(x) = 1
The equation become
sin²(x) + (-3/10)² = 1
Evaluate the exponent
sin²(x) + 9/100 = 1
Subtract 9/100 from both sides
sin²(x) = 91/100
Take the square root of both sides
[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]
Sine is positive in quadrant II.
So, the tangent is calculated using:
[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]
This gives
[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]
Evaluate
[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]
Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]
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Find the value of 11 +22+33 + ... + 1100.
Answer:
sum of terms: 55550
Explanation:
[tex]\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})[/tex]
Here the number of terms:
1100 ÷ 11 = 100
Using the Formula:
[tex]\sf \dfrac{100}{2} (11+1100)[/tex]
[tex]\sf 55550[/tex]