Answer:
Part 1) The volume of each beam is [tex]1,858.88\ ft^{3}[/tex]
Part 2) You can fill [tex]26\ beams[/tex]
Part 3) Yes, the amount of sand left over is [tex]1,669.12\ ft^{3}[/tex]
Step-by-step explanation:
Part 1) What is the total volume of each beam?
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]h=37\ ft[/tex]
[tex]r=8/2=4\ ft[/tex] ----> the radius is half the diameter
assume
[tex]\pi=3.14[/tex]
substitute the values
[tex]V=(3.14)(4)^{2} (37)[/tex]
[tex]V=1,858.88\ ft^{3}[/tex]
Part 2) How many beams can you fill with this sand?
we know that
You are given a container with a 50,000 sq ft of sand for your beams
Note Is a 50,000 cubic foot of sand instead of 50,000 sq ft of sand
Divide the total volume of sand by the volume of each beam to obtain the number of beams
[tex]50,000/1,858.88=26.9\ beams[/tex]
Round down
[tex]26.9=26\ beams[/tex]
Part 3) Will you have any sand left over? If so how much?
yes
[tex]50,000-26(1,858.88)=1,669.12\ ft^{3}[/tex]
find the slope of the line that passes through the points (0,0) and (-2,-3)
[tex]
s=\frac{\Delta{y}}{\Delta{x}}=\frac{-3-0}{-2-0}=\boxed{\frac{3}{2}}
[/tex]
Hope this helps.
r3t40
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
Where:
[tex](x_ {1}, y_ {1})\\(x_ {2}, y_ {2})[/tex]
They are two points through which the line passes.
We have as data that:
[tex](x_ {1}, y_ {1}) :( 0,0)\\(x_ {2}, y_ {2}): (- 2, -3)[/tex]
Substituting:
[tex]m = \frac {-3-0} {- 2-0}\\m = \frac {-3} {- 2}\\m = \frac {3} {2}[/tex]
Thus, the slope of the line is [tex]\frac {3} {2}[/tex]
Answer :
[tex]m = \frac {3} {2}[/tex]
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Answer:
[tex]\large\boxed{V=2304\pi}[/tex]
Step-by-step explanation:
The formula of a surface area of a sphere:
[tex]S.A.=4\pi R^2[/tex]
R - radius
We have
[tex]S.A.=576\pi[/tex]
Substitute and solve for R:
[tex]4\pi R^2=576\pi[/tex] divide both sides by π
[tex]4R^2=576[/tex] divide both sides by 4
[tex]R^2=144\to R=\sqrt{144}\\\\R=12[/tex]
The formula of a volume of a sphere:
[tex]V+\dfrac{4}{3}\pi R^3[/tex]
Substitute:
[tex]V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi[/tex]
Please just help me
Answer:
We can see here that the two sides of both triangle are equal to each other, therefore both triangles are isosceles triangles.
And also the two chords are parallel to each other, which let us know that:
b° = 40°
We also proved that that triangle is an isosceles triangle so:
b° = c° = 40°
Which makes it possible to calculate d°:
b° + c° + d° = 180°
40° + 40° + d° = 180°
d° = 180° - 40° - 40°
d° = 100°
Not sure if my thinking process make sense, but I'm quite sure about the answers.
75 POINTS!!!!!!!HELP ASAP WILL GIVE BRAINLIEST PLS BE FAST! What is the value of 3^2/3^4 ? A. 1/81 B. 1/27 C. 1/9 D. 1/3
Answer: the answer is 1/9
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
3²/3⁴ = 3²⁻⁴ = 3⁻² = 1/3² = 1/9
according to the rule of indices
If two angles of one triangle are congruent to two angles of another triangle, then the _____ are congruent.
Answer:
TRIANGLES
Step-by-step explanation:
What is the product of d – 9 and 2d2 + 11d – 4?
Answer:
[tex]2d^3-7d^2-103d+36[/tex]
Step-by-step explanation:
The given expressions are (d-9) and [tex]2d^2+11d-4[/tex].
Their product is given by:
[tex](d-9)(2d^2+11d-4)[/tex]
We expand using the distributive property to obtain;
[tex]d(2d^2+11d-4)-9(2d^2+11d-4)[/tex]
[tex]2d^3+11d^2-4d-18d^2-99d+36[/tex]
We group similar terms to get;
[tex]2d^3+11d^2-18d^2-4d-99d+36[/tex]
We combine the similar terms to get:
[tex]2d^3-7d^2-103d+36[/tex]
Please help!!!!
How many more pieces of mail were handled by the United States postal service in 1995 than in 1965? Express your answer in scientific notation.
Answer:
1.08×10^11
Step-by-step explanation:
1.08 times 10 to the power of 11
The number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
What is exponents and powers?Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.
In 1995 : 1.8 * [tex]10^{11 }[/tex]
In 1965: 7.2 * [tex]10^{10 }[/tex]
So, the difference will be
= 1.8 * [tex]10^{11 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= 1.8 * [tex]10^{10}*10[/tex] - 7.2 * [tex]10^{10 }[/tex]
=18 * [tex]10^{10 }[/tex] - 7.2 * [tex]10^{10 }[/tex]
= (18-7.2) * [tex]10^{10 }[/tex]
=10.8 * [tex]10^{10 }[/tex]
= 1.08 * [tex]10^{11}[/tex]
Hence, the number of pieces of mail in 1995 more than 1965 by = 1.08 * [tex]10^{11}[/tex]
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Find the domain of the graph function.
The domain is the set of feasible inputs, i.e. the x-coordinates in which you can evaluate the function.
We can see that this function is defined only for x values between -1 and 3 (included), so this is your domain.
Answer:
C. [tex]-1\leq x\leq 3[/tex].
Step-by-step explanation:
We have been given graph of a function. We are asked to find the domain of our given function.
We know that domain of a function is all values of x for which our given function is defined.
We can see that our given function is defined for values of x that are greater than or equal to [tex]-1[/tex] and less than or equal to 3.
Therefore, the domain of our given function would be [tex]-1\leq x\leq 3[/tex] and option C is the correct choice.
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
To find the missing value, divide two consecutive y-values to determine the constant factor. Multiply the last given value by the factor to obtain the missing value.
Explanation:To find the missing value for the exponential function represented by the given table, we need to observe the pattern of the function.
The given pattern is:
x -2 -1 0 1 2
y 29 20.3 14.21 6.9629
In this case, we can see that each value of y is obtained by multiplying the previous value by a constant factor.
To determine this factor, we can divide any two consecutive y-values.
For example, dividing 14.21 by 20.3 gives us approximately 0.6988.
So, the missing value can be found by multiplying the last given y-value (6.9629) by this factor.
Hence, the missing value is approximately 4.8616.
Find the measure of CD. Round to the nearest tenth.
PLEASE HELP!!
The measure of arc CD is 88.8°
In circle geometry , there are certain theorems that guides the solving of problem involving circles.
Some of the theorems are ;
angle at the center is twice angle at the circumference.
The measure of arc is the measure of angle substended at the centre.
Using trigonometric ratio to get the angle at the center.
sinX = 6.35/9.06
sinX = 0.70
X = 44.4°
angle at the centre = 2 × 44.4
= 88.8°
Therefore, arc CD is 88.8°
1. A transformation is an operation that ________, or moves, a preimage (original) onto an image.
A. traces
B. maps
C. copies
D. images
2. Which term describes the number of times a wave is translated in one second?
A. period
B. amplitude
C. sine
D. frequency
3. A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.
Have you found out the answer
1. A transformation is an operation that traces or moves, a preimage (original) onto an image.
2.The term describes the number of times a wave is translated in one second is frequency.
What is transformation and frequency?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Frequency is defines as the number of times a wave is translated in one second.
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If the dimensions of a rectangular garden can be represented by (2x+11) and (3x+5), then what is the area of the garden?
Answer: 6x^2+43x+55
Area=L*W
Area=(2x+11)(3x+5)=x^2+33x+10x+55
Area=6x^2+43x+55
Answer:
the area of the garden would be 6x^+43x+55
What percent of 700 is 14 ?
Answer:
2%
Step-by-step explanation:
We are to find out what percentage of 700 is 14.
Assuming [tex] x [/tex] to be the percent of 700 which is 14, we can write it as:
[tex] \frac { x } { 100 } \times 700 = 14 [/tex]
[tex] \frac { x } {100} = \frac {14} {700} [/tex]
[tex] \frac { x } { 1 0 0 } = 0.02 [/tex]
[tex]x=0.02 \times 100[/tex]
[tex]x=2[/tex]
Therefore, 14 is 2% of 700.
a home owner has 5 zucchini plants in her garden. Over the course of the season, the yields( number of zucchini’s per plant) are:
Answer:
5 zucchini plants
Step-by-step explanation:
Answer: the answer will be 5(x)=x
6x-3 <-9 can someone help me asap
Answer:
x<-1
Step-by-step explanation:
6x-3 <-9
Add 3 to each side
6x-3+3 <-9+3
6x < -6
Divide by 6
6x/6 < -6/6
x < -1
Answer:
x<-1
Step-by-step explanation:
6x-3<-9
Add 3
6x<-6
-6/6=-1
x<-1
What is the solution to the equation?
x – 19 = 1
Answer:
x=20
Step-by-step explanation:
you first got to get x by itself so + 19 on each side of the equal signs which gets rid of the -19 on the left side of the equal and it adds 19 on the right side of the equal making the answer x=20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
x – 19 = 1
The degree of the equation is one. Then the equation is a linear equation. Simplify the equation, then we have
x – 19 = 1
x = 1 + 19
x = 20
The solution of the equation with a single variable 'n' x – 19 = 1 will be 20.
More about the solution of the equation link is given below.
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CAN ANYONE HELP ME ANSWER THIS PLEASE
Answer:
3/10 * 3/10 = 9/100
Step-by-step explanation:
First chance to draw pink is 3 out of 10. replace the marble then I have another 3 out of 10 chance.
Can someone please help me find DC?
[tex]\bf \stackrel{\measuredangle A}{(5x-14)}+\stackrel{\measuredangle D}{(4x+5)}=\stackrel{\textit{linear angles}}{180}\implies 9x-9=180 \\\\\\ 9x=171\implies x=\cfrac{171}{9}\implies x=19 \\\\[-0.35em] ~\dotfill\\\\ \overline{DC}\implies -2x+54\implies -2(19)+54\implies -38+54\implies 16[/tex]
Answer:
DC = 12
Step-by-step explanation:
In a parallelogram consecutive angles are supplementary, that is
∠DAB and ∠ADC are consecutive and supplementary, thus
5x - 14 + 4x + 5 = 180
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
Hence
DC = - 2x + 54 = (- 2 × 21) + 54 = - 42 + 54 = 12
I am a two dimensional shape that has less than 4 sides. All of my sides are straight. What shape am I.
Rhombus.? I think? I'm not sure
What is the measure of each interior angle of a regular polygon with 5 sides?
ANSWER
108°
EXPLANATION
The measure of each interior angle of a regular polygon is given by
[tex] \theta = \frac{(n - 2) \times 180}{n} [/tex]
where n refers to the number of sides of the polygon.
From the question we have n=5 in this case.
We substitute to obtain;
[tex]\theta = \frac{(5 - 2) \times 180}{5} [/tex]
[tex]\theta = \frac{3\times 36}{1} [/tex]
This simplifies to:
[tex]\theta = 108 \degree[/tex]
Hence each interior angles of a regular polygon with 5 - sides is 108°
Which expression is equivalent for this
Answer: Option A
Step-by-step explanation:
Remember that
[tex]+ * - = -\\- * + = -\\+ * + = +\\- * - = +\\[/tex]
We have the expression
[tex]\frac{1}{2}x + (-7)-2*\frac{1}{4}-(-2)[/tex]
Solve first the multiplication of signs
[tex]\frac{1}{2}x + (-7)-2\frac{1}{4}x-(-2)\\\\\frac{1}{2}x -7-2\frac{1}{4}x+2\ \ \ \ \ \ \ \ Note:\ 2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}\\\\\frac{1}{2}x -\frac{9}{4}x-7+2\ \ \ \ \ \ \ \ Note:\ \frac{1}{2}-\frac{9}{4}=-\frac{7}{4}=-1\frac{3}{4}\\\\-1\frac{3}{4}x -5[/tex]
You ride an express bus from the center of town to your street. You have two payment options. Option a is to buy a monthly pass and pay $2 per ride. Option b is to pay $4.50 per ride. A monthly pass costs $50. After how many rides will the total costs of the two options be the same ? Write a system of equations in order to solve this problem.
Answer:
I think the answer is 12 rides
Final answer:
After setting up a system of equations with Option A as C = 50 + 2x and Option B as C = 4.5x, we find that after 20 rides, the total costs for both options are the same.
Explanation:
To determine after how many rides the total costs of the two payment options will be the same for the express bus from the center of town, we can set up a system of equations. Option A includes a monthly pass costing $50 plus $2 per ride, and Option B is a flat rate of $4.50 per ride.
Let's define x to be the number of rides. Then for Option A, the cost will be $50 (monthly pass) plus $2 multiplied by x, which can be expressed as the equation C = 50 + 2x. For Option B, the cost is simply $4.50 multiplied by x, which can be written as C = 4.5x.
To find out after how many rides the costs are the same, we set the equations equal to each other: 50 + 2x = 4.5x. Solving for x, we get x = 20. After 20 rides, the total costs for both options A and B will be the same.
Is urgent and will mark brainliest.
What is √33?
Place a dot on the number line at the best approximation.
Please and Thank you!!
Answer:
≈ 5.7
Explanation:
Place the dot at the 7th notch after 5
Hope this helps! :)
~ 5.74 place the dot 3 lines before the 6
help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
64π
Step-by-step explanation:
8²·π = 64π
ANSWER
201.06 square units.
EXPLANATION
The area of a circle is calculated using the formula,
[tex]Area = \pi \: {r}^{2} [/tex]
The given circle has radius, r=8 units.
We substitute the radius into the formula to obtain:
[tex]Area = \pi \times {8}^{2} [/tex]
The exact area is 64π square units.
When we substitute π=3.14, we get,
Area=201.06 units square.
anwser asap 50 points
What are the dimensions of the matrix?
[1 0 7 -5 9 ]
[-2 3 10 8 5]
Enter your answers in the boxes.
The matrix is a
×
matrix.
Answer:
[1, 5]
Step-by-step explanation:
Here I see ONE row and FIVE columns, so the dimensions are [1, 5].
Answer: 2,5
Step-by-step explanation:
how to solve for X
4/X=12/7.5
Answer:
x = 2.5
Step-by-step explanation:
Given
[tex]\frac{4}{x}[/tex] = [tex]\frac{12}{7.5}[/tex] = 1.6
Multiply both sides by x
4 = 1.6x ( divide both sides by 1.6 ), hence
x = 2.5
which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!
Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
We solve for m to obtain:
[tex]m=-\frac{7}{4}-\frac{3}{4}=-2.5[/tex]
We also solve the remaining equations to see which ones give the same result.
A: [tex]m=\frac{10}{4} =2.5[/tex]
B:[tex]m=-\frac{10}{4} =-2.5[/tex]
C:[tex]m=-\frac{5}{2} =-2.5[/tex]
D: [tex]\frac{11}{4}+m=-\frac{1}{4}[/tex]
[tex]m=-\frac{1}{4}-\frac{11}{4}=-3[/tex]
E: [tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m=-\frac{15}{4}+\frac{5}{4}=-2.5[/tex]
F: [tex]m+2=-0.5[/tex]
[tex]m=-0.5-2=-2.5[/tex]
The equivalent equations are; B,C,E, and F.
Answer:
[tex]m=-\frac{10}{4}[/tex]
[tex]m=-\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}[/tex]
[tex]m+2=-0.5[/tex]
Step-by-step explanation:
Given equation,
[tex]\frac{3}{4}+m=-\frac{7}{4}[/tex]
[tex]\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}[/tex],
Since, [tex]\frac{10}{4}\neq -\frac{5}{2}[/tex]
[tex]\frac{11}{4}+m = -\frac{1}{4}[/tex]
[tex]\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}[/tex]
[tex]-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}[/tex]
[tex]m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}[/tex]
What is (-6-4)divided by(-5)=
= -2? i dont really know either
Answer: 2
Step-by-step explanation:
-6-4=-10 -10/-5=2
can someone show me how to do this step by step? it deals with area, and i'm not very good at math in general. thank you!!
The area of a circle when you know the radius is found using the formula Area = PI x r^2
The small circle has a radius of 7 inches.
The area of the small circle is 3.14 x 7^2 = 3.14 x 49 = 153.86 square inches.
Using the circumference of a circle use the formula Area = C^2 / 4*PI
Area of larger circle = 113.097^2 / 4 *3.14 = 12790.93141 / 12.56 = 1018.39 square inches.
Now to find the blue area subtract the area of the smaller circle from the larger one:
1018.39 - 153.86 = 864.53 square inches.
What is the value of X?
Answer:
I think B. 10 2/3
Step-by-step explanation:
I haven't learned this yet but out of experience i think this is how you solve it. Find out the ratio of 18 to 8 by dividing 18/8 to get 2.25. then multiply this by 24 to get 10.66 repeated which equals to 10 and 2/3.