Final answer:
The volume of a rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 inches³, calculated using the formula V = (1/3) × base area × height.
Explanation:
To calculate the volume of a rectangular pyramid, the formula is V = (1/3) × base area × height. The base area is the length times the width of the pyramid's base, while the height is the perpendicular distance from the base to the apex. Given the dimensions of the pyramid as a base of 13 inches by 12 inches and a height of 8 inches:
First, calculate the base area: 13 inches × 12 inches = 156 inches².Next, use the volume formula: V = (1/3) × 156 inches² × 8 inches.So, the volume of the pyramid is: (1/3) × 156 inches² × 8 inches = (1/3) × 1248 inches³.The final volume is 416 inches³.Final answer:
The volume of the rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 cubic inches, calculated using the formula V = ¼Bh.
Explanation:
To find the volume of a rectangular pyramid, you can use the formula for the volume of any pyramid, which is ¼ the base area multiplied by the height (V = ¼Bh). In this case, the base area (B) can be calculated by multiplying the length and width of the base of the pyramid. Therefore, the base area B is 13 inches * 12 inches, which equals 156 square inches. The height (h) of the pyramid is given as 8 inches.
Using the volume formula:
Base area (B) = 13 in * 12 in = 156 in²
Height (h) = 8 in
Volume (V) = ¼ * B * h = ¼ * 156 in² * 8 in
Calculation:
V = ¼ * 156 in² * 8 in
V = 1,248 in³ ´ 3
V = 416 in³
Therefore, the volume of the pyramid is 416 cubic inches.
Write the correct inequality for each graph.
1.) x>2
2.)x≤3
3.)x<4
4.)x≥5
Hope this helps:)
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches . The cone has a radius of 3 inches. What is the height of the cone ?
Answer:
The height of the cone is [tex]4\ in[/tex]
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
[tex]V=\pi (r)^{2}(h)[/tex]
substitute the values
[tex]V=\pi (2)^{2}(3)=12\pi\ in^{3}[/tex]
step 2
Find the height of the cone
The volume of the cone is equal to
[tex]V=(1/3)\pi (r)^{2}(h)[/tex]
Remember that the volume of the cone is equal to the volume of the cylinder
substitute the given values and solve for h
[tex]12\pi=(1/3)\pi (3)^{2}(h)[/tex]
Simplify
[tex]36=9(h)[/tex]
[tex]h=36/9=4\ in[/tex]
Just keepin it simple. Can you please help me with this problem.
3/10-2/5-3/4 would be least to greatest.
Hope this helps!
What is the measure of CAD?
I am pretty sure 52 degrees
Answer:
the answer is D
Step-by-step explanation:
because the measurements for CAD is 92
Esmeralda simplified a complex fraction her work is shown below
Answer:
Should be (-21/4) (2/3) = -42/12 = -21/6
So answer is
Esmerelda did not use the reciprocal of the divisor.
Step-by-step explanation:
Answer: Esmeralda added the numerators.
Esmeralda added the denominators.
Esmeralda did not use the reciprocal of the divisor.
An experiment consists of randomly selecting a marble from a bag, keeping it, and then selecting another marble. The bag contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble. What is the probability of selecting a red marble and then a blue marble? Question 3 options: 20% 13.33% 10% 16.66%
Answer:
13.33%
Step-by-step explanation:
First we need to find the total number of marbles
4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15
The probability of a red marble = number of red marbles over the total marbles
P(red) = red/total = 7/15
We keep the marble. There are now 6 red marbles
4 blue marbles+ 3 green marbles+ 6 red marbles+ 1 yellow marble= 14
We have 14 marbles in the bag
The probability of a blue marble = number of blue marbles over the total marbles
P(blue) = blue/total = 4/14 = 2/7
Then we multiply the probabilities together
P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%
Final answer:
The probability of selecting a red marble and then a blue marble from the bag is about 13.33%.Hence, the answer is B.
Explanation:
The probability of selecting a red marble and then a blue marble from a bag that originally contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble involves calculating the probability of two independent events.
First, the probability of selecting a red marble is the number of red marbles over the total number of marbles, so P(Red first draw) = 7/(4+3+7+1) = 7/15.
After selecting a red marble, there is one less marble in the bag, so the new total is 14, and still 4 blue marbles. The probability of then selecting a blue marble is the number of blue marbles over the new total, so P(Blue second draw) = 4/14 = 2/7.
To find the combined probability of both events happening in sequence (red then blue), we multiply the individual probabilities: P(Red then Blue) = P(Red first draw) * P(Blue second draw) = (7/15) * (2/7) = 2/15. Converting this to a percentage gives us approximately 13.33%.
the difference of X and 7 is greater than -15
Answer:
x-7>-15
Step-by-step explanation:
The difference is subtraction.
Greater than is >.
For this case, we must write the expression given algebraically:
The difference of x and 7 can be written as:
[tex]x-7[/tex]
That difference is greater than -15, so the opening of the inequality sign must be on the differencing side, that is:
[tex](x-7)> - 15[/tex]
ANswer:
[tex](x-7)> - 15[/tex]
What would the answer be if a cylinder was 6 and 8 inches?
Answer:
904.36
Step-by-step explanation:
If the radius is 6 and the height is 8 then the answer would be 904.32
This is because the volume formula for a cylinder is pi times radius sqaured times height so if the radius is 6 and the height is 8 then you would do 3.14 times 36 times 8 which would get you 904.36. Also using the formula I just gave you if the diameter is 6 then you would just half it to make the radius. Maybe if I am wrong about which is which for the height being 8 and the radius or diameter being 6 then you could just switch it around in the formula
Answer: ≈904.78
Step-by-step explanation:
V=πr2h=π·62·8≈904.77868
Enter the values for the following composite transformation.
Translate Answer
0,0
Incorrect units left and _____ units down, then rotate _____°.
Enter the three numbers with commas and no spaces. Example: 5,7,270
do u have the answer
Do, -1/2 of x is (4,0) (2,0) (-2,0)
im not sure but it could be (-2,0) :/
Answer:
(2,0)
The answer is obvious
Look at the following problem. Which step should occur first to solve this problem? 2 + (3 - 9) ÷ 4 ⋅ 4
Answer:
2 + (-6) ÷ 4 ⋅ 4
Step-by-step explanation:
Given in the question an expression,
2 + (3 - 9) ÷ 4 ⋅ 4
First step to solve this problem is to solve the arithmetic which is inside the brackets.
= 2 + (-6) ÷ 4 ⋅ 4= 2 - 6 ÷ 4 . 4Anything in parentheses always come first when solving a problem.
please help! will give brainlist, only answer if youre 100% surre
Simplify. 1/4y+1 1/2 + 2− 13/4y − 12 Enter your answer in the box
Answer:
-3y-8 1/2
Step-by-step explanation:
1/4y-13/4y=-12/4y=-3y
1.5+2-12=-8.5 or 8 1/2
Answer:
-17y+13/4y
use m.a.t.h.w.a.y
Step-by-step explanation:
In Kyle’s closet, 5/10 of the shirts are blue and 3/10 of the shirts are green. How much more of the shirts are blue than green
Answer:
1/5
Step-by-step explanation:
we know that
5/10 of the shirts are blue
3/10 of the shirts are green
so
To find how much more of the shirts are blue than green, subtract the fraction of the shirts that are green from the fraction of the shirts that are blue
5/10-3/10=2/10
Simplify
2/10=1/5
Please answer right away. Last attempt and last question
Answer:
1,206
Step-by-step explanation:
Since we'll have to deal with cubic inches (with the ball volume), we should also calculate the volume of the car in cubic inches.
We are told the car is a rectangular prism measuring 10ft x 5 ft x 3 ft.
So, in inches (12 inches/foot), we have: 120 in x 60 in x 36 in = 259,200 cu inches.
The ball is a sphere with a radius of 3 inches.
Real volume of the ball: V = (4/3) π r³
V = (4/3) π 3³ = 36 π = 113.1 cu inches
But of course, balls don't fit perfectly one next to another, like cubes, so we have to take into account the loss... the question tells us to use a factor of 190%.
So, the packing volume of a ball is 190% its real volume:
PV = 190% * 113.1 = 214.9 cu inches
Now, how many times does that fit inside the car?
259,200 / 214.9 = 1,206.14
Let's round it to 1,206, which is a possible answer.
How do I graph the circle and so on
Answer:
The center point will be on (-5,3) and the second point will be on (-4,3)
Step-by-step explanation:
A school trip to the zoo costs $36, which includes $8 for the bus ticket and cost for 2 passes. Both passes cost the same amount. What is the cost of each pass
14$ because you subtract 8 - 36 = 28 then divide 28 by 2 and get 14
36 - 8 = 28 divided by 2 equals 14
A fountain shoots a water arc that can be modeled by the graph of the equation y=-0.006x^2+1.2x+10, where x is the horizontal distance (in feet) from the river's north shore and y is the height (in feet) above the river. Does the water arc reach a height of 50 feet? If so, about how far from the north shore is the water arc 50 feet above the water?
ANSWER
The water arc is 50 ft above the water approximately 42ft and 158ft from the north shore.
EXPLANATION
The water arc is modeled by the function:
[tex]y = - 0.006 {x}^{2} + 1.2x + 10[/tex]
We write this function in vertex form:
[tex]y = - 0.006 ({x}^{2} - 200x )+ 10[/tex]
[tex]y = - 0.006 ({x}^{2} - 200x + ( - 100)^{2} ) - - 0.006( - 100)^{2} + 10[/tex]
[tex]y = - 0.006 ( x- 100)^{2} ) + 60+ 10[/tex]
[tex]y = - 0.006 ( x- 100)^{2} ) +70[/tex]
The vertex of this function is at
(100,70).
This means that the water arc reached a height of 50ft.
We put y=50 and solve for x.
[tex]- 0.006 ( x- 100)^{2}+70 = 50[/tex]
[tex]- 0.006 ( x- 100)^{2} = - 20[/tex]
[tex]( x- 100)^{2} = \frac{10000}{3} [/tex]
[tex]x = 100 \pm \frac{100 \sqrt{3} }{3} [/tex]
x=42.3 or x=157.7
Hence the water arc is 50 ft above the water approximately 42ft and 158ft from the north shore.
The water arc does reach a height of 50 feet, and it is about 42.27 feet and 157.73 feet from the north shore when it is 50 feet above the water.
1.Set up the equation:
[tex]\[ -0.006x^2 + 1.2x + 10 = 50 \][/tex]
2. Simplify the equation:
Subtract 50 from both sides:
[tex]\[ -0.006x^2 + 1.2x + 10 - 50 = 0 \] \[ -0.006x^2 + 1.2x - 40 = 0 \][/tex]
3. Solve the quadratic equation:
We can use the quadratic formula
[tex]\( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \), where \( a = -0.006 \), \( b = 1.2 \), and \( c = -40 \).[/tex]
[tex]\[ a = -0.006, \quad b = 1.2, \quad c = -40 \][/tex]
[tex]\[ \Delta = b^2 - 4ac \] \[ \Delta = 1.2^2 - 4(-0.006)(-40) \] \[ \Delta = 1.44 - 0.96 \] \[ \Delta = 0.48 \][/tex]
[tex]\[ x = \frac{-b \pm \sqrt{\Delta}}{2a} \] \[ x = \frac{-1.2 \pm \sqrt{0.48}}{2(-0.006)} \][/tex]
Calculate the square root of 0.48:
[tex]\[ \sqrt{0.48} \approx 0.6928 \][/tex]
Now, find the two values of x:
[tex]\[ x_1 = \frac{-1.2 + 0.6928}{-0.012} = \frac{-0.5072}{-0.012} \approx 42.27 \] \[ x_2 = \frac{-1.2 - 0.6928}{-0.012} = \frac{-1.8928}{-0.012} \approx 157.73 \][/tex]
Therefore, the water arc reaches a height of 50 feet at approximately [tex]\( x = 42.27 \) feet and \( x = 157.73 \)[/tex] feet from the north shore.
Which number completes this number sentence? [ ? ] > -6
A.-8
B.-7
C.-6
D.0
Answer:
It is 0
Step-by-step explanation:
Unlike the positive side of the number line which increases its value as it goes up in numbers, the negative side of a number line increases its value as it goes goes down in numbers as the more closer a negative number is to the positive side of infinity, the greater value it has. In this instance, zero is the greater number than -6 and all other negative numbers.
which statements correctly describe the association between the variables A and B select each answer
positive association
negative association
nonlinear association
no association
linear association
The statements that correctly describe the association between variables A and B are "positive association," "negative association," "nonlinear association," "no association," and "linear association."
Positive Association: Variables A and B have a positive association when an increase in the value of variable A corresponds to an increase in the value of variable B. In other words, as A increases, B also tends to increase, and vice versa. This relationship implies a positive correlation between the two variables.
Negative Association: A negative association between variables A and B occurs when an increase in the value of variable A corresponds to a decrease in the value of variable B, and vice versa. Here, as A increases, B tends to decrease, and vice versa. This relationship signifies a negative correlation between the two variables.
Nonlinear Association: Variables A and B exhibit a nonlinear association when the relationship between them cannot be adequately represented by a straight line. Instead, their connection follows a more complex pattern, such as a curve or some irregular shape. Nonlinear associations can still be positive or negative, but they do not follow a simple linear relationship.
No Association: When there is no association between variables A and B, changes in one variable do not correspond to any predictable changes in the other. In this case, the values of A and B are independent of each other, and there is no correlation between them.
Linear Association: Variables A and B have a linear association when their relationship can be approximated by a straight line. In a linear association, a change in one variable is proportionally reflected in the other variable. This is the simplest form of association and is characterized by a constant rate of change between the variables.
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Plz help me with this
Answer: [tex]\bold{C)\quad y=2sin(x+\dfrac{3\pi}{4})}[/tex]
Step-by-step explanation:
A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.
[tex]y=2cos(x + \dfrac{\pi}{4})\qquad \implies y=2sin(x+\dfrac{\pi}{4}+\dfrac{\pi}{2})\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=2sin(x+\dfrac{3\pi}{4})}[/tex]
Ezra works two summer jobs to save for a laptop that costs at least $1100. He decides to adjust his rates to $250 per lawn (x) for the summer and $300 per dog (y) for the summer, and to limit himself to 2 dogs.
Describe how to find a solution graphically.
Answer:
Graph in the first quadrant because x and y are nonnegative.
Shade the half-plane that does not include the origin since (0, 0) does not satisfy the inequality.
Draw a horizontal line at y = 2 for 2 dogs.
Solutions lie on or below the part of the horizontal line that is in the shaded region.
Step-by-step explanation:
Answer:more than 3
Step-by-step explanation:
i jus did it
Jackson works as a veterinarian technician and earns $12.20 per hour Jackson normally works 40 hours a week in a normal week what is his total pay before taxes and other deductions Jackson works as a veterinarian technician earns $12.20 per hour Jackson normally works 40 hours a week in normal week what is his total pay before taxes and other deductions
Answer:
Multiply $12.40 times 40. Remember to use a dollar sign in your answer.
Step-by-step explanation:
The low temperature in Chicago was -3 °F. The low temperature in Milwaukee was -11 °F. Which statement is true?
-11 is greater than -3, so it was colder in Chicago.
-3 is greater than -11, so it was colder in Chicago.
-11 is greater than -3, so it was colder in Milwaukee.
-3 is greater than -11, so it was colder in Milwaukee.
Answer:
The statement -11 is greater than -3, so it was colder in Milwaukee is true.
Answer:
-11 is greater than -3, so it was colder in Milwaukee.
Step-by-step explanation:
Answer 1 (-11 is greater than -3, so it was colder in Chicago) is incorrect because it was -3 in Chicago, not -11.
Answer 2 (-3 is greater than -11, so it was colder in Chicago) is incorrect because -3 is not greater than -11.
Answer 3 is correct because -11 is greater than -3 and the cities are labeled correctly.
Answer 4 (-3 is greater than -11, so it was colder in Milwaukee) is incorrect because -3 is not greater than -11. Milwaukee was also -11, not -3.
I hope this helps!
Help me find the value of x!!!
The value of x is B. 8.
Which is the graph of logarithmic function ?
Answer:
Graph C on edge
Step-by-step explanation:
I Just did the Assignment
The second graph is the graph of logarithmic function
What is a logarithm functionLogarithmic functions are the inverses of exponential functions. The logarithmic function [tex]y=1og_ax[/tex]is defined to be equivalent to the exponential equation [tex]x=a^y[/tex].
The logarithmic function is similar in shape to the square root function. To graph a logarithmic function it is better to convert the equation to its exponential form.
The second graph is the graph of logarithmic function
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Rewrite the following equation in the form y = a(x - h)2 + k. Then, determine the x-coordinate of the minimum.
y = 2x2 - 32x + 56
The rewritten equation is y =
(x -
)2 +
.
The x-coordinate of the minimum is
.
Answer:
a=2
h=8
k=-72
Step-by-step explanation:
[tex]y = 2 {x}^{2} - 32x + 56 \\ = 2( {x}^{2} - 16x + 28) \\ = 2( {x}^{2} - 2 \times 8 x + 64 - 36) \\ = 2 {(x - 8)}^{2} - 72 \\ then \: the \: minimum \: is \: - 72 \: and \\ \: the \: x - coordinate \: of \: minimum \: is \: 8.[/tex]
The rewritten equation is 2(x-8)^2 - 100, and the x-coordinate of the minimum is 8.
What is a quadratic equation?A quadratic equation is a second-degree algebraic equation in x. The conventional form of the quadratic equation is ax^2 + bx + c = 0, with a and b as coefficients, x as the variable, and c as the constant component.
y = 2x^2 - 32x + 56
y = 2(x^2 - 16x + 28)
y = 2((x^2 - 16x + 64) - 36)
y = 2((x - 8)^2 - 36)
y = 2(x - 8)^2 - 72
The equation when converted in the form y = a(x - h)^2 + k will look like y = 2(x - 8)^2 - 72.
The minimum value of this function is y = -72 and the x-coordinate of the minimum is x = 8.
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help me if u do u get bl :)
First picture = x ≤ 7
Second picture = y = [tex]\frac{x}{3}[/tex] - 1
Third picture = graph d
Hope this helps you
bl.... like... boy love......?
How to find angle measures and segment length
Answer:
The value of x is [tex]186\°[/tex]
Step-by-step explanation:
Part 27) we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses
In this problem
[tex]90\°=\frac{1}{2}[x\°-6\°][/tex]
Solve for x
[tex]180\°=[x\°-6\°][/tex]
[tex]x=180\°+6\°=186\°[/tex]
is 25/60 a repeating decimal or terminating decimal
25/60 is repeating decimal
hope it helps you!!!!!!!!!
IMPORTANT PLEASE HURRY!!
what is the surface area of a box if it’s volume is 2244 inches cubed?
I wasn’t given any measurements, just the volume.
For this case we have that if the box is cubed, then the volume is given by:
[tex]V = l ^ 3[/tex]
Where:
l: It's the side of the cube
We have to:
[tex]l ^ 3 = 2244\\l = \sqrt [3] {2244}\\l = 13,09204886[/tex]
So, l is the side of the box. The surface area of a cube is given by:
[tex]SA = 6l ^ 2\\SA = 6 * (13.09204886) ^ 2\\SA = 1028.41046012[/tex]
Rounding off we have that the surface area of the cube is:
[tex]1028.4 \ in ^ 2[/tex]
Answer:
[tex]1028.4 \ in ^ 2[/tex]