Answer:
113.04
Step-by-step explanation:
Given:V = 324 cu
cmh = 9 cm
Since the formula for the volume of a cylinder is V = AreaBase*heightAreaBase = V/height = 324cu cm/ 9 cmAreaBase = 113.04 square centimetresTherefore, the area of the pillar in square centimeters is 113.04
The base area of the cylindrical pillar would be; 113.04 cm²
What is the Volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
v = πr²h
where, r = radius, h = height
Therefore,
v = 324π cm³
h = 9cm
Consider find the radius;
324π = 9πr²
r² = 324π /9π
r² = 36
r = √36
r = 6 cm
Base area of the pillar = πr²
Base area of the pillar = 36π
Base area of the pillar = 36 × 3.14
Base area of the pillar is 113.04 cm²
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At the end of a baseball game, the players were given the choice of having a bottle of water or a box of juice. Of all of the players, 12 chose a bottle of water, which was 3 4 of the total number of players. Write and solve an equation to determine p. the total number of players at the baseball game. Show your work
Answer:
p=48
Explenation:
Total number of players = p
According to given scenario:
p - 12 = 3/4p
By simplifying
Taking terms with p on left and constants on right
p - 3/4p = 12
By taking LCM for left side to make denominators same
4/4*p -3/4p = 12
(4p -3p)/4 = 12
1p/4 = 12
Multiplying both sides by 4 we get
p = 12 * 4
p = 48
So total number of players is 48
Mark wants to run his town's half marathon, which covers 13.1 miles. When runners have completed 65% of the course, they are challenged with a steep hill to climb. What distance, in miles, will Mark run before he gets to the foot of the hill? Round your response to the hundredths place.
Using proportions, it is found that Mark will run 8.52 miles before he gets to the foot of the hill.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the distance to the foot of the hill is 65% of 13.1 miles, hence:
d = 0.65 x 13.1 = 8.52 miles.
Mark will run 8.52 miles before he gets to the foot of the hill.
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Suppose m and n vary inversely and n=17 when m=-4. A) write an equation that models the variation . B) find n when m =-136
The equation that models the variation is -4 = k/17.
The value of n when m is -136 is 2.
What is inverse proportion?When two variables vary inversely, as one variable increases, the other variable decreases.
The formula used to represent inverse proportion is:
m = k/n
m = dependent variable n = independent variable k = constant of proportionality-4 = k/17
k = 17 x -4 = -68
-136 = -68/ n
n = -136 /68
n = 2
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What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)?
Oy=-3x - 2
Oy = -3x + 2
Oy = 3x + 2
Oy = 3x - 2
help pls my education depends on it
What is the value of x?
Enter your answer in the box.
Answer:
its c
Step-by-step explanation:
100 PTS PLS HELP
How can this quadrilateral be classified?
Select from the drop-down menus to complete the statements.
This quadrilateral has
Choose...
of parallel sides. Therefore, this quadrilateral is a
Choose...
This quadrilateral have.
Two pair of opposite sides Sides may not be equalAngle between them is not 90°Its a parallelogram
Answer:
2 pairs of parallel sides
rhombus
Step-by-step explanation:
In geometry, arrows on lines mean that those lines are parallel.
Therefore, as one pair of opposite sides have 1 arrow, and the other pair of opposite sides have 2 arrows, this indicates that each pair of opposite sides are parallel.
Quadrilaterals that have 2 pairs of parallel sides are the rhombus and the parallelogram. A rhombus is a parallelogram that has 4 sides of equal length. As the side lengths of the given shape are equal in length, this quadrilateral is a special type of parallelogram called a rhombus.
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Answer:
1357.2 ft^3
Step-by-step explanation:
pie * radius^2 * height = volume
pie * 6^2 * 12 = 1357.2
Answer:
V= 1357.1
Step-by-step explanation:
hopes this helps a little I can further explain if you'd like
Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)
The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
How to find the factors of a quadratic expression?If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex]
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha \times \beta[/tex]
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
[tex]x^2 -7x + 10[/tex]
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
[tex]x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)[/tex]
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
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A group of 50 students at a day camp got to choose an activity to do. 22% of students chose to make a craft, 16% chose to play volleyball, and the rest of the students chose to go on a nature walk. How many students chose to go on a nature walk?
Answer:
31 people
Step-by-step explanation:
Total # of people: 50
22% of 50: 0.22 * 50 = 11 people
16% of 50: 0.16 * 50 = 8 people
11 + 8 = 19 people who didn't go on a nature walk
50 - 19 = 31 people who went on a nature walk
The volume of a box that measures 3cm x 3 cm x 2 cm is:
Answer:
18 cm cubed (cm^3)
Step-by-step explanation:
2 x 3 x 3
Answer: 18 cm (cubed)
Step-by-step explanation: Volume of a cube or box -
Length x Width x Height = 3x3x2
PLEASEEE HELP !!!!!!!!!!!
Answer:
22√3.
Step-by-step explanation:
The perimeter is the sum of the lengths of the 3 sides,
= 5√3 + 3√27 + 4√12
= 5√3 + 3*√9√3 + 4√4√3
= 5√3 + 3*3√3 + 4*2√3
= 5√3 + 9√3 + 8√3
= 22√3.
The perimeter of the shaded face of this cube is 12 centimeters. What is the volume of the cube in cubic centimeters?
Answer:
1728
Step-by-step explanation: L(length) H(height) W(width)
volume = l x w x h
perimeter= L + W + L + W
perimeter = 12 + 12 + 12 + 12
volume = 12 x 12 x 12 because it' s a cube, and all sides are equal
= 1728
(i don't know if it's right though...)
Susana is with a mobile phone provider that charges $0.27 per minute plus a connection fee of $0.20. How much will she be charged for a
call that lasts b minutes?
Answer:
The total monthly charge if one uses 769 minutes is $68.65
Step-by-step explanation:
Example: If we are at x = 310, y = 45.50 and we use one more
minute, x goes up by 1, y increases by .05, putting us
at x = 311, y = 45.55. Thus, usage of 311 minutes
incurs a monthly cost of $45.55.
The y intercept is the point where x = 0.
That point on our equation is (0, 30)
This means that if zero minutes are used during the month,
the total charge for the month will be $30... the flat fee.
c) Find total monthly cost for using 769 minutes
y = .05x + 30
y = .05(769) + 30
y = 38.45 + 30
y = $68.65
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Answer:
Card 3: 53.68 cm, Card 4: 150.72 sq. cm
Step-by-step explanation:
Card 3: First find the circumference, d(pi), 16(3.14)=50.24. Since the circle has 1/4 of it missing, we will divide by 4 then multiply by, 50.24/4=12.56, then multiply by 3 37.68. Lastly, we have to add 16 because of the cutout so 37.68+ 16=53.68
Card 4: Find the area of the circle, r^2(pi), 64(3.14)= 200.96. Then divide by 4 and then multiply by 3, 200.96/4=50.24, 50.24*3=150.72.
easy, please help! asap
put u=log^43*t in exponential form
Answer: B. 43^u = t
log b(x) = y goes to b^y = x and convert it :D hope this helps
Answer:
answer B
Step-by-step explanation:
745
90M
24
F&
2
7
D%
D. 24
5
⅔5
Answer:E Sin 16= opposite side/hypotenuse =7/15
Step-by-step explanation: opposite side to the angle used/ hypotenuse.
DISTRIBUTE 4(-3X + 2)
Answer:
-12x+8 or 12x+8
Step-by-step explanation:
p please mark me brainlest
Which volcano erupted in the early 1980s in the Pacific states?
Mt. Mauna Kea
Mt. St. Helens
Mt. Katla
Mt. Etna
Mt. St. Helens
hope it helps...!!!
Find the volume of the cylinder. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
409.77 is the answer!
Step-by-step explanation:
3 x 3 x 3.14 x 14.5
pie x r^2 x h = V
Answer:
The volume of the cylinder is 410 ft^3
Step-by-step explanation:
To find the volume, we must know the formula. The formula is, V = π r^2 h. We already know that the diameter is 6ft, so we have to cut that in half to get the radius. 6/2 = 3. The radius is 3ft. Now we can plug in the values.
V = π*3^2*14.5
V = π*9*14.5
V = 409.977841
V = 410.0
Triangle ABC is a right triangle. The lengths of the legs are 21 centimeters and 28 centimeters. What is the length of the hypotenuse in centimeters?
PLEASE HELP 100 POINTS MATH ASAP URGENT
Answer:
answer to number 1
Step-by-step explanation:
Find the zeros of denominator (x=-2)
-2|1 4 0 -9 -2
After Carrying down coefficients = Coefficients of number polynomial is 1, 2, -4, -1, and 0
Polynomial format: x^3+2x^2-4x-1
Hope this helps :)
Determine if a triangle can be formed with given length if yes classify as acute right or obtuse
1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.
2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.
3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.
4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.
How to determine if a triangle may exist and the existence of given angles
Triangles are geometric figures formed by three line segments and internal angles, whose sum is equal to 180°, which can be three acute angles or an obtuse angle and two acute angles or a right angle and two acute angles. The possibility is determined by applying the law of cosine:
[tex]\cos \theta = -\frac{x^{2}-y^{2}-z^{2}}{2\cdot y\cdot z}[/tex] (1)
The triangle if and only if the cosine of each angle is between -1 and 1 with the following characteristics:
If the cosine of the angle is between 0 and 1, then it is acute.If the cosine of the angle is 0, then it is right.If the cosine of the angle is between 0 and -1, then it is obtuse.Now we proceed to determine the existence of each triangle:
1) cos α = 0.8, cos β = 0.6, cos γ = 0. The triangle exists and is right.
2) cos α ≈ 0.882, cos β ≈ 0.471, cos γ ≈ 0.441. The triangle exists and is acute.
3) cos α ≈ 0.977, cos β ≈ 0.324, cos γ ≈ -0.115. The triangle exists and is obtuse.
4) cos α = 1, cos β = 1, cos γ = -1. The triangle does not exist.
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If you can multiply Ax B, then which of the following statements is true about
multiplying B x A?
You can always multiply BxA.
You can never multiply BXA
You can only multiply B x A if the number of columns of A match the number of rows in B.
O You can only multiply B x A if the number of columns of B match the number of rows of A.
To multiply B and A, the number of columns of B must matc the number of rows of A.
When we can multiply two matrices?
When we multiply two matrices, A and B, we multiply the rows of matrix A by the columns of matrix B.
Now, the number of elements in a row of a matrix, is equal to the number of columns (and the number of elements in a column is equal to the number of rows).
To multiply BxA:
Then, a row on matrix B must have the same number of elements than a column in row A.
Then, to multiply BxA, the number of columns of B must match the number of rows of A, meaning that the correct option is the last one.
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What is the length of leg s of the triangle below?
Answer:
[tex]\bf F.\;8[/tex]
Step-by-step explanation:
[tex]\bf Sin (45^o)=\cfrac{5}{8\sqrt{2} }[/tex]
[tex]\bf \cfrac{1}{\sqrt{2} } =\cfrac{S}{8\sqrt{2} }[/tex]
[tex]\bf S=\cfrac{8\sqrt{2} }{\sqrt{2} }[/tex]
Cancel common factor:- √(2)
[tex]\bf S=8[/tex]
Therefore, your answer is f) 8.
Find the measure of angle B.
A. 56°
B. 62°
C. 75°
D. 68°
Answer:
56
Step-by-step explanation:
for triangles, you have to have a total of 180 degrees also triangles have the same degrees every time
KADS, Inc. Has spent $400,000 on research to develop a new computer game. The firm is planning to spend $200,000 on a machine to produce the new game. Shipping and installation costs of the machine will be capitalized and depreciated; they total $50,000. The machine has an expected life of three years, a $75,000 estimated resale value, and falls under the MACRS 7-year class life. Revenue from the new game is expected to be $600,000 per year, with costs of $250,000 per year. The firm has a tax rate of 35 percent, an opportunity cost of capital of 15 percent, and it expects net working capital to increase by $100,000 at the beginning of the project.
What will the cash flows for this project be? (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. )
The cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).
To calculate the cash flows for this project, we need to consider the initial investment, operating cash flows, and terminal cash flows over the project's life.
Initial Investment:
Research and development cost: -$400,000
Machine cost: -$200,000
Shipping and installation cost: -$50,000
Net working capital increase: -$100,000
Total Initial Investment: -($400,000 + $200,000 + $50,000 + $100,000) = -$750,000
Operating Cash Flows:
The operating cash flows include revenue, costs, and depreciation for each year.
Revenue: $600,000 per year
Costs: $250,000 per year
Depreciation: Calculated using MACRS depreciation method for 7-year class life.
Year 1:
Depreciation: $200,000 (rounded to the nearest dollar) [MACRS depreciation for Year 1]
Operating Cash Flow: $600,000 - $250,000 - $200,000 = $150,000
Year 2:
Depreciation: $320,000 (rounded to the nearest dollar) [MACRS depreciation for Year 2]
Operating Cash Flow: $600,000 - $250,000 - $320,000 = $30,000
Year 3:
Depreciation: $192,000 (rounded to the nearest dollar) [MACRS depreciation for Year 3]
Operating Cash Flow: $600,000 - $250,000 - $192,000 = $158,000
Terminal Cash Flows:
Terminal cash flow includes the salvage value of the machine and the tax effect of selling the machine.
Salvage Value: $75,000
Tax Effect of Salvage Value: Taxable gain or loss on the sale of the machine = (Selling price - Book value)
Book Value: Accumulated depreciation at the end of Year 3 = $200,000 + $320,000 + $192,000 = $712,000
Selling price: $75,000
Taxable gain or loss: $75,000 - $712,000 = -$637,000
Tax on gain or loss: Tax rate (35%) * Taxable gain or loss = 0.35 * (-$637,000) = -$223,450
Terminal Cash Flow: Salvage Value + Tax on gain or loss = $75,000 + (-$223,450) = -$148,450
Now, let's sum up all the cash flows:
Cash Flows = Initial Investment + Operating Cash Flows + Terminal Cash Flow
Cash Flows = -$750,000 + $150,000 + $30,000 + $158,000 + (-$148,450)
Cash Flows = -$560,450
Therefore, the cash flows for this project will be -$560,450 (negative amount indicated by a minus sign).
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The directors of a dance show expect many students to participate but don’t yet know how many students will come. The directors need 7 students to work on the technical crew. The rest of the students work on dance routines in groups of 9. For the show to work, they need at least 6 full groups working on dance routines.
The inequality that represents the scenario given above in terms of the number of students is 9x + 7 ≥ 54
What is the Inequality?Inequality is known to be a statement that shows the step or order association either it is greater than, equal to, less than, etc., that exist between two or more numbers in an expression.
Note that 7 students are in the technical crew. Denote the number of students in a group as = x
We take the other students in dance routines in groups of 9 as 9x.
Therefore, we say that the total number of students = 9x + 7
Since 6 full groups are working on dance routines, we then multiply by the student dance groups = 9 x 6 = 54
Therefore, we can state that our inequality as:
9x + 7 ≥ 54
Then you collect like terms:
9x ≥ 54 - 7
9x ≥ 47
x ≥ 47/9
x ≥ 6
So therefore, I will write to directors that the number of students they need in each group should be at least 6 students.
See full question below
1. Write and solve an inequality to represent this situation.
2. Write a sentence to the directors about the number of students they need.
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what is the inequality shown
Answer:
-4 ≤ x ≤ 3
Step-by-step explanation:
Well, we can see that the endpoints land on -4 and 3 and the numbers between -4 and 3 are included. And since the endpoints -4 and 3 have colored dots, they are included as well. Therefore the inequality is -4 ≤ x ≤ 3.
Answer:
-4 ≤ x ≤ 3
Step-by-step explanation:
Because the circles are closed, we know that the inequaily sign will be either "≤" or "≥", meaning that the dotted points are included. Looking at the number line, we can see that the dots lie on points -4 and 3. Because -4 is less than 3, the sign will be a lesser than sign. The line inbetween includes all numbers between -4 and 3.
So, in conclusion, -4 ≤ x ≤ 3 is the inequality shown.
Please helppppppppppppp!!!!!!!!!!!!!!
Answer:
60°
Step-by-step explanation:
We know in a circle, the interior angle is half of the exterior angle.
Interior angle = exterior angle x 1/2Interior angle = 120° / 2Interior angle = 60°