Final answer:
To find the volume of a rectangular prism, multiply its length, width, and height. For this specific prism, the volume is 2936.76 cubic inches.
Explanation:
Volume is calculated by multiplying the length, width, and height of a rectangular prism:
Volume = length x width x height
Given dimensions: length = 13.2 in, width = 13.8 in, height = 15.9 in.
Substitute the values into the formula: Volume = 13.2 in x 13.8 in x 15.9 in = 2936.76 in³
Therefore, the volume of the rectangular prism is 2936.76 cubic inches.
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
[tex]486\ in^2[/tex]
Step-by-step explanation:
we know that
The surface area of the cube is equal to the area of its six square faces
so
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we have
[tex]b=9\ in[/tex]
substitute
[tex]SA=6(9)^2=486\ in^2[/tex]
Answer:
486
Step-by-step explanation:
What is the exact volume of the cylinder? 3in, 6in
18in
36in
54in
63in
Answer:
54π in³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V= πr²h ( r is the radius and h the height )
Here r = 3 and h = 6, thus
V = π × 3² × 6 = π × 9 × 6 = 54π in³
Find the area of the circle. 26m. Round to the nearest tenth.
Answer:
Step-by-step explanation:
A=[tex]\pi r^{2}[/tex]
A=3.14*26*26
A=2122.64
A=2122.6[tex]m^{2}[/tex]
The calculated area is 530.66 [tex]m^2[/tex], which rounds to 530.7 [tex]m^2[/tex].
To find the area of a circle with a given diameter, you first need to find the radius, which is half of the diameter. Since the diameter provided in the question is 26 meters, the radius would be 13 meters. The formula to calculate the area (A) is A = π[tex]r^2[/tex], where (pi) is approximately 3.14 and r is the radius of the circle.
Using the aforementioned radius of 13 meters, the area can be calculated as follows:
A = 3.14 x [tex](13 m)^2[/tex]= 3.14 x 169 = 530.66 [tex]m^2[/tex]
When rounded to the nearest tenth, the area of the circle is 530.7 [tex]m^2[/tex].
The ratio of the weight of an object on planet earth to the weight of the same object on planet B is 100 to 3 if an elephant weighs 4800 pounds on planet a find the elephants way down planet b
Answer:
144 pounds
Step-by-step explanation:
Weight of object Earth: Weight of Object Planet B
100:3 = 4800:b
100/3=4800/b
100b=14400
b=144
Therefore, 144 pounds
The weight of an elephant on planet B can be calculated using the weight ratio of 100 (on Earth) to 3 (on planet B). By setting up a proportion and solving for the unknown weight, we find that the elephant weighs 144 pounds on planet B.
Since the ratio is 100 to 3, we can set up a proportion to find the elephant's weight on planet B.
First, represent the known weight ratio between Earth and planet B: 100 (earth weight) to 3 (planet B weight).
Then, set up the proportion using the weight of the elephant on Earth (4,800 pounds) and let x represent the unknown weight on planet B:
100/3 = 4800/x
To solve for x, cross-multiply and divide:
100x = 4800 * 3
Finally, divide both sides by 100 to find x:
x = (4800 * 3) / 100
x = 144 pounds
Therefore, the elephant would weigh 144 pounds on planet B.
A cook has 223 cups of flour. A recipe calls for 234 cups of flour. Does the cook have enough flour? If not, how much more flour is needed?
Answer: 11 more cups of flour is needed.
Step-by-step explanation: 234 - 223 = 11
We find that the cook needs 11 more cups of flour to meet the recipe's requirement of 234 cups, as they only have 223 cups.
To determine whether the cook has enough flour to follow a recipe requiring 234 cups, a simple subtraction operation is performed. The cook starts with 223 cups of flour. The amount needed subtracts the amount available: 234 cups (needed) - 223 cups (available) = 11 cups. So, the cook requires 11 more cups of flour to have enough for the recipe.
Two numbers have a sum of 1 and a product of -12. Use the quadratic equation n^2+n-12=0 to determine the 2 numbers
Answer:
4 and -3
Step-by-step explanation:
4-3=1
4(-3)=-12
The two numbers that have a sum of 1 and a product of -12 is -4 & 3
Solving quadratic equationsFrom the question, we are determine the two unknown numbers by solving the quadratic equation
The given quadratic equation is
n² + n -12 = 0
The quadratic equation can be solved as follows
n² + n -12 = 0
By factorizing
n² +4n -3n -12 = 0
n(n+4) -3(n+4) = 0
(n+4)(n-3) = 0
Then,
n+4 = 0 OR n -3 = 0
∴ n = -4 OR n = 3
Hence, the two numbers that have a sum of 1 and a product of -12 are -4 & 3
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The following data points represent the number of
alligators in each body of water near Tom's house.
8,5, 12, 15
Find the mean absolute deviation (MAD) of the data
set.
alligators
Answer:
3.5 alligators
Step-by-step explanation:
i did khan academy
Answer:
3.5
Step-by-step explanation:
I just answered it :) it was correct btw
The diagram shows are square with perimeter 40cm
Work out the percentage of the area inside the square that is shaded
To find the percentage of the shaded area inside the square, we need to determine the area of the shaded region and calculate the percentage relative to the total area of the square. Without more information or measurements, we can't determine the exact size of the shaded area or the percentage.
Explanation:To find the percentage of the area inside the square that is shaded, we need to determine the area of the shaded region and then calculate the percentage. Given the perimeter of the square is 40cm, we can find the length of each side by dividing the perimeter by 4, which gives us 10cm. The area of the square is found by squaring the length of one side, so the area is 10cm x 10cm = 100cm². To find the shaded area, we need to subtract the area of the square from the total area. Assuming the shaded region is a smaller square with side length x, the area of the shaded region is x². So the shaded area is 100cm² - x².
To calculate the percentage, we divide the shaded area by the total area of the square and multiply by 100. So the percentage of the area inside the square that is shaded is (100cm² - x²) / 100cm² * 100.
It's important to note that we don't have enough information to determine the exact size of the shaded area or calculate the percentage without more details or measurements of the shaded region.
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Two angles are said to be congruent if:
O
A. they have the same angle measure.
O
B. they share a side.
O
C. the sum of their measures is 180°
You have a large beach ball that has a radius of 15 inches. What is the volume of the ball? Use 3.14 for pi.
Answer:
Therefore,
[tex]\textrm{Volume of Ball}=14130\ inches^{3}[/tex]
Step-by-step explanation:
Given:
Spherical Shape Ball
[tex]Radius =15\ inches[/tex]
pi = 3.14
To Find:
Volume of Ball= ?
Solution:
Formula for Volume of Sphere is given by
[tex]\textrm{Volume of Sphere}=\dfrac{4}{3}\pi (Radius)^{3}[/tex]
Substituting the given values we get
[tex]\textrm{Volume of Ball}=\dfrac{4}{3}\times 3.14\times 15^{3}=14130\ inches^{3}[/tex]
Therefore,
[tex]\textrm{Volume of Ball}=14130\ inches^{3}[/tex]
which data set is exponential? please help!
Answer:
I think it's B.
Step-by-step explanation:
Answer:
I believe that the answer is A but it could be B
The quadratic equation x^{2}-6x=12 is rewritten in the form (x+p)^2=q, where q is a constant. What is the value of p ?
Answer:
p = - 3
Step-by-step explanation:
Given
x² - 6x = 12
To obtain the required form use the method of completing the square
add ( half the coefficient of the x- term )² to both sides, thus
x² + 2(- 3)x + 9 = 12 + 9
(x - 3)² = 21
Thus p = - 3
Given the quadratic functions expressed as;
x² - 6x = 12
The value of p given the quadratic expression is -3
Complete the square at the left hand side of the equation.
Add the square of the half of coefficient of x to both sides.
coefficient of x = -6
Half of coefficient of x = -6/2 = -3
Square of the result = (-3)² = 9
Add 9 to both sides of the equation
x² - 6x + 9 = 12 + 9
Factoring the left hand side
(x-3)² = 21
Comparing the result with (x+p)² = q
The value of p wil be -3
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The reciprocal of 7/4
Answer:
4/7
Step-by-step explanation:
you just flip the numbers across the division/fraction sign
Heya.
First, let us learn about reciprocals.
Basically, it's the fraction flipped. Easy as 1, 2, 3!
Let's do an example:
We have an equation that says Find the reciprocal of 5/2.
1. Flip the fraction.
2. We then have 2/5 as a final answer.
Now onto the question:
1. We need to flip the equation.
2. This results as 4/7.
Therefore, our answer is "4/7".
#BrainlyOn!
Use the diagram to fi d the missing lenght of the pool (please i need the help)
Answer:
D) 50ft
Step-by-step explanation:
(18×x) + (32×18) + [(48-18-18)×(32-11)]
= 1728
18x + 576 + (12×21) = 1728
18x = 1728 - 828
18x = 900
x = 50
What is the difference of the fractions? Use the number line to help find the answer.
KT
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Hello, remember you need to write complete questions in order to get good and exact answers. Here you haven't provided any fractions, so I'll give you my own fractions.
The first fraction is:
[tex]\frac{1}{2}[/tex]
The second fraction is:
[tex]\frac{1}{4}[/tex]
So let's say that difference is:
[tex]\frac{1}{2}-\frac{1}{4}[/tex]
Therefore, the result is:
[tex]\frac{1}{2}-\frac{1}{4}=\frac{1}{4}[/tex]
The representation of this problem is shown using the number line below. As you can see, we have written both 1/2 and 1/4 and the difference is also indicated giving the result 1/4. That is, if we walk from 1/4 to 1/2 we'll walk 1/4 units.
Answer:
-7/10
Step-by-step explanation:
Bruh trust me
Rectangle A’B’C’D’ is the image of rectangle ABCD after dilation. What is the scale factor of the dilation?
Answer:
The scale factor of the dilation is 3
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
so
Rectangle ABCD and rectangle A'B'C'D' are similar
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
z ----> the scale factor
[tex]z=\frac{D'C'}{DC}[/tex]
we have
[tex]D'C'=12-3=9\ units[/tex] ----> difference of x-coordinates
[tex]DC=4-1=3\ units[/tex] ---> difference of x-coordinates
substitute
[tex]z=\frac{9}{3}=3[/tex]
The scale factor is greater than 1
so
The dilation is a enlargement
On average, Ainsley and her friends could complete 44 sit-ups in one minute. The number of sit ups done by each of her friends is listed below. How many did Ainsley complete? *
47, 46, 38, 45, 41
Answer:
i think ainsley completed 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
Find the sum of the integers from 1 to 99 (inclusive).
Show ALL working.
is an equilateral triangle also a rhombus
yes is an equilateral triangle also a rhombus
Answer:
ues it is a equilateral triangle
Step-by-step explanation:
from the meaning of equilateral, equilateral means all sides are equal in length.
a rrhombus has all its side equal.and therefore it s an equilateral triangle
Substitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. If true, find a value that would result in a false number sentence. If false, find a value that would result in a true number sentence. 1. 15a ≥ 75. Substitute 5 for a.
Answer:
Step-by-step explanation:
[tex]15a\geq 75\\15(5)\geq75\\75\geq75\\True[/tex]
If we substituted 1 for a then:
[tex]15a\geq75\\15(1)\geq75\\15\geq75\\False[/tex]
Solve for n.
17.1 = 5.7 x n
Answer:
n = 3
Step-by-step explanation:
Equation: 17.1 = 5.7 * n
Divide both sides by 5.7 to get n by itself.
Step 1: Divide both sides by 5.7
17.1 = 5.7 * n
17.1 / 5.7 = 5.7 * n / 5.7
divide divide
3 = n
Answer: n = 3
We are given the following equation and want to solve for the unknown variable, n:
[tex]17.1=5.7 \times n[/tex]
To solve for an unknown variable, we want to isolate the variable by doing operations to both sides of the equation:
This includes adding, subtracting, multiplying, and dividing both sides by the same valueFor this equation, we'll divide both sides by 5.7 to isolate the unknown variable n
[tex]17.1 \boxed{\div 5.7} = 5.7 \times n \boxed{\div 5.7}[/tex]
After dividing both sides by 5.7 and simplifying, we get:
[tex]3=n[/tex]
The next step is a bit tedious, but in math, you usually want to have the variable on the LEFT side of the equation after isolation.
After reversing the equation accordingly, we have:
[tex]\boxed{n=3}[/tex]
We have a value for n, which is 3.
Let me know if you need any clarifications, thanks!
~ Padoru
a penny has a diameter of 0.75 inches. Find the circumference of a penny
Answer:
The penny has a circuferance of 2.356194
Step-by-step explanation:
To get this I used the formula for circumference c = πd or c = 2π x r²
And you just plug in 0.75 for d and multiply it by 5 to get you answer
PLEASE VOTE BRAINLIESTThe circumference of the penny is approximately 2.36 inches.
What is the circumference of the penny?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
Circumference = 2πr or dπ
Where r is the radius, d is the diameter, and π is constant pi.
Given the parameter:
Diameter of the penny d = 0.75 inches
Circumference =?
To find the circumference of the penny, we can use the formula for the circumference of a circle.
Circumference = dπ
Plug in the diameter values:
Circumference = 0.75 × π
Circumference = 0.75π in or 2.36 in.
Therefore, the circumference is approximately 2.36 inches.
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Jordan is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Jordan have to pay for parking if he left his car in the lot for 2 hours? How much would Jordan have to pay if he left his car in the lot for
t
t hours?
Answer:
11+(2×4)
11+8
$19....
Answer:
Cost for 2 hours=19, Cost for 2 hours=11+4t
Jada and diego baked a large batch of cookies.
They selected 1/4 of the cookies for there teachers
They threw away one burnt one
They delivered 2/3 of the remaining cookies to to a nursing home
They gave 3 cookies to neighborhood kids
They wrapped up the 2/3 of the remaining cookies for there friends
After this they had 15 cookies left. How many did they have to start with and how did u do it?? Please help
Started with 54 cookies, considering fractions, removals, and distributions, ending with 15 cookies.
let's break it down:
1. **Initial Batch**: They started with an unknown number of cookies, denoted as [tex]\( x \).[/tex]
2. **Cookies for Teachers**: They took [tex]\( \frac{1}{4} \) of the cookies for their teachers, leaving \( \frac{3}{4}x \)[/tex] cookies.
3. **Burnt Cookie**: They discarded one burnt cookie, resulting in [tex]\( \frac{3}{4}x - 1 \) cookies.[/tex]
4. **Cookies for Nursing Home**: They gave [tex]\( \frac{2}{3} \) of the remaining cookies to the nursing home, keeping \( \frac{1}{3} \) of \( \frac{3}{4}x - 1 \) cookies.[/tex]
5. **Cookies for Neighborhood Kids**: They gave 3 cookies to the neighborhood kids, resulting in [tex]\( \frac{1}{3}x - 3 \) cookies.[/tex]
6. **Cookies for Friends**: They wrapped up [tex]\( \frac{2}{3} \) of the remaining cookies for their friends, keeping \( \frac{1}{3} \) of \( \frac{1}{3}x - 3 \) cookies.[/tex]
7. **Final Count**: They were left with 15 cookies, so [tex]\( \frac{1}{3}x - 3 = 15 \).[/tex]
[tex]\[ \frac{1}{3}x - 3 = 15 \]\[ \frac{1}{3}x = 15 + 3 \]\[ \frac{1}{3}x = 18 \]\[ x = 18 \times 3 \]\[ x = 54 \][/tex]
So, they initially had 54 cookies.
Find the surface area of the triangular prism.
Answer: Area is 168ft^2
Step-by-step explanation:
A store bought pants at a wholesale price of $15. They retail the pants for $45. What is the amount of change? What is the percent increase?
Answer: Amount of change : $30
percent increase : 200%
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Wholesale price: $15 Retail price: $45To obtain the amount of change we have to subtract the wholesale price to the retail price:
Mathematically speaking:
45 -15 = $30
For the percent increase, the amount of change (30) is some percent of the original price (15). So:
30 / 15 =2 (decimal form)
If we multiply it by 100, the percentage is:
200%
Please experts answer my questions ASAP! Thank you in advance, and remember to wash your hands with antibacterial soap for 1 minute.
Height of the trapezoid is 14.4 meter.
Solution:
Given data:
One base [tex](b_1)[/tex] = 12 meter
Other base [tex](b_2)[/tex] = 8 meter
Area = 144 square meter
Area of the trapezoid = [tex]\frac{1}{2} \times(b_1+ b_2)\times h[/tex]
[tex]$144=\frac{1}{2} \times(12+8)\times h[/tex]
[tex]$144=\frac{1}{2} \times 20 \times h[/tex]
[tex]$144= 10 \times h[/tex]
Divide by 10 on both sides, we get
14.4 = h
Switch the sides of the equation.
h = 14.4
Height of the trapezoid is 14.4 meter.
HELPPPPPPP!!! Please
Answer:
D
Step-by-step explanation:
Typically seven out of every 100 babies bom in the River Creek hospital have a birth defect, most of
them minor defects
A. What typical percentage of the babies have birth defects?
b. What typical percentage of the babies do not have birth defects?
c. About how many babies with birth defects would you expect to find in a group of 500 babies
Answer: I believe that the answer is either C or A
Step-by-step explanation:
Typically, 7% of babies born in the River Creek hospital have birth defects, which means 93% of babies do not. In a group of 500 babies, about 35 are expected to have birth defects.
Explanation:A. The typical percentage of babies having birth defects is 7%, because 7 out of every 100 is the equivalent of 7% when expressed as a percentage.
B. To find the percentage of babies that do not have birth defects is therefore 100%-7% = 93%, because the percentage of babies that have defects and those that do not should add up to 100%.
C. If you were to expect about 7% of babies to have a birth defect in a group of 500 babies, you would calculate it as: 500 x 0.07 = 35 babies. So, you would typically expect to find about 35 babies with birth defects in a group of 500 babies.
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What is the distance in the standard (x, y) coordinate
plane between the points (2,3) and (5,5)?
Solution:
Distance between two points is given by:
[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]
We have to find the distance in the standard (x, y) coordinate plane between the points (2,3) and (5,5)
From given,
[tex](x_1, y_1) = (2, 3)\\\\(x_2, y_2) = (5, 5)[/tex]
Substituting the values we get,
[tex]d = \sqrt{(5-2)^2 + (5-3)^2}\\\\Simplify\\\\d = \sqrt{3^2 + 2^2}\\\\d = \sqrt{9+4}\\\\d = \sqrt{13}\\\\In\ decimal\ form\\\\d = 3.605 \approx 3.6[/tex]
Thus distance between the points (2,3) and (5,5) is 3.6 units
The distance between the points (2,3) and (5,5) on the standard (x, y) coordinate plane is determined using the distance formula. After substituting the given coordinate points into the formula, we find that the distance is √13 units.
Explanation:In Mathematics, the distance between two points in the (x, y) coordinate plane is given by the distance formula, which is √[(x₂-x₁)² + (y₂-y₁)²]. This formula is acquired from the Pythagorean theorem. Here, the points are (2,3) and (5,5). So, substituting these values in the distance formula, we get:
Distance = √[(5-2)² + (5-3)²] = √[3² + 2²] = √[9+4] = √13.
Therefore, the distance between the two points (2,3) and (5,5) on the standard (x, y) coordinate plane is √13 units.
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