Answers
Answer:
1) 943.895 mm3
2) 144 cm3
Step-by-step explanation:
1)
First we need to find the volume of the rectangular prism:
Volume_1 = 9 * 11 * 6 = 594 mm3
Then, we can find the volume of the half cylinder above the prism:
Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3
So the volume of the figure is the sum of both volumes:
Volume_total = Volume_1 + Volume_2 = 943.895 mm3
2)
The volume of a pyramid is one third of the base area multiplied by the height, so we have:
Volume = (1/3) * 6 * 8 * 9 = 144 cm3
Answer:
1. Volume of the composite figure is 943.89 mm³
2. The volume, of the is 144 cm³
Step-by-step explanation:
1. The composite figure comprises of a cube and a half cylinder;
Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³
Volume of the half cylinder = area of base × length = (π·r²)/2 × l
Where:
r = (Diameter of base)/2 = 9/2 = 4.5 mm
l = 11 mm
Therefore, plugging the values, gives;
Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³
Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder
Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³
2. The volume, V of a pyramid is given by the following relation;
[tex]V = \frac{l \times w \times h}{3}[/tex]
Where:
l = Length of base = 8 cm
w = Width of the base = 6 cm
h = Height of the pyramid = 9 cm
[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]
Here we have that a cube of side x, therefore, the area = x·x, integrating we have;
[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]
Where:
Length, height width of the pyramid = x
It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .
Related Questions
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answers
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
Explain the three steps when using distributive property to write an equivalent expression.
Answers
Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent .
If 400 reduced by two times my present age is 296, how old am I now?
Answers
Answer:
52 years.
Step-by-step explanation:
Represent my current age by c. Then 400 - 2c = 296, or
104 = 2c
Then c must be 104/2, or 52 years.
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11). What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of the line segment from A to B? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Answers
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Edg 2020
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answers
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
-4•(-2)+10-3•11+30
Step 2: Multiply
8+10-33+30
Step 3: Calculate
=15
Plzzzzzzz help In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is the value of the 9 in the hundredths place.
Answers
Answer:
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Step-by-step explanation:
The decimal we are considering is 3.9928
The 9 in the tenth place has a value of 0.9
The value of 9 in the hundredth place has a value of 0.09
Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.
To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
Answers
Ashley has a right triangular Garden in her backyard the longest side of the garden measures 17 yards one of the sizes 10 yards long find the length of the other side of the garden
Answers
Answer....
The answer should be 13.74 yards.
We must apply the pythagorean theorem to solve.
C is the hypotenuse aka the longest side.
Formula: a^2 + b^2 = c^2
a^2 + 10^2 = 17^2
a^2 + 100 = 289
Subtract 100 from both sides.
a^2 = 189
Square root of 189 is approximately 13.74.
Please need this by the 16th
Answers
Answer:
60
Step-by-step explanation:
12 can be broken into 3*4
15 = 5*3
The least factors are
3*4*5 = 60
The lowest common denominator is 60
Answer:
7/12= 35/60
7/15= 28/60
Write the standard equation for a circle with center (0,0) and radius 8
Answers
Answer:
Step-by-step explanation:
hello : an equation is :
x²+y²=64
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answers
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.
you do not know how confused i am with this question, please put a little explanation to explain how you did it.
Answers
Answer:
x=2
Step-by-step explanation:
2x = 4 and your multiplying 2 times x so x would have to be equal to 2 time blank which equals 4
Hope it helps!
Anthony earned the following amount for baby-sitting his brother over winter break: $5, $10, $10, $10, $5, $10, $20, $10, $5, $20, $20, $20, $10, $5, $5. What is the mean and median amount he earned each day?
Answers
Answer:
mean is $11
median is $10
Step-by-step explanation:
I need help!!!! What is x
Answers
Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58
Answer:
58 degrees.
Step-by-step explanation:
This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.
triangle xyz is similar to triangle abc solve for k
Answers
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
pls help me?????????
Answers
Step-by-step explanation:
Step 1: Simplify both fractions
[tex]\frac{8}{24}[/tex] → [tex]\frac{8(1)}{8(3)}[/tex] → [tex]\frac{1}{3}[/tex]
[tex]\frac{5}{15}[/tex] → [tex]\frac{5(1)}{5(3)}[/tex] → [tex]\frac{1}{3}[/tex]
Since both of the simplified fractions are equal, that means that they form a proportion.
Answer: Option A, YES
Choose the correct symbol.
74 21
>
<
=
Answers
How many solutions are there? 5(6x + 8) = 9x - 10 + 21x
Answers
Answer:
5(6x+8) =9x - 10 + 21x: No solution
Answer: No solution
Steps below
Step-by-step explanation:
1: Groups like terms.
2: Add similar elements 9x+21x=30x
3: Expand 5(6x+8): 30x+40
4: Subtract 40 from both sides
5: Simplify
6: Subtract 30x from both sides
7: Simplify
8: Answer: No solution
Hope this helps.
Answer: none
Step-by-step explanation:
30x+40=30x-10
HELP PLEASE
write down a formula for the nth term of these patterns. The first term is n = 1.
14 ,23 ,32 ,41, 50 = nth term = ?????????
-4, -11, -18, -25, -32 = nth term = ???????????
Answers
Answer:
1st one= n9+5
2nd one=n×-7+3
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answers
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answers
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
x sqaure - 3x + x = ? wats the answer
Answers
Answer:
the simplified answer is,
x^2 - 3x + x = x^2 -2x
Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors that each measure 3 ft by 7 ft and a window that measures 3 ft by 4 ft. If Faron does not paint the doors and window, what is the total area he will paint?
Answers
Answer:
319 square feet.
Step-by-step explanation:
The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.
The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.
Therefore, we have that the total area of the four walls is
192 +160 = 352 square feet
However, we have a door and a window that won't be painted.
The area of the door is: 3 x 7 =21 square feet
The area of the window is 3 x 4 = 12 square feet
Thus, the total amount of area that won't be painted is
21 + 12 = 33 square feet.
So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:
352 - 33 = 319 square feet.
Thus, she will paint 319 square feet
What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answers
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
brainly.com/question/4075559.
#SPJ7
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answers
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
Polygon v has an area of 1 square unit. Jun-seo drew a scaled version of polygon v using a scale factor of 7 and labeled it polygon w
Answers
Answer:
The area of Polygon
W
WW is
49
4949 square units.
Step-by-step explanation: dk
Scale factors are used to enlarge or reduce the size of a shape
The area of polygon w is 49 square units
The area of polygon v is given as:
[tex]v =1[/tex]
The scale factor of the sides of polygon v, that forms polygon w is given as:
[tex]k=7[/tex]
The area of polygon w is then calculated as:
[tex]w =v\times k^2[/tex]
So, we have:
[tex]w =1\times 7^2[/tex]
Evaluate the exponents
[tex]w =1\times 49[/tex]
Multiply 1 and 49
[tex]w =49[/tex]
Hence, the area of polygon w is 49 square units
Read more about scale factors at:
https://brainly.com/question/10253650
If a figure is translated 5 units down and 3 units right, how do you represent it algebraically
Answers
Answer
(x+3) -5
Step-by-step explanation:
plug the values into the parent transformation equation to its rightful places
There are five blue marbles and seven orange marbles in a jar Misha Jaws one blue marble and set it aside what is the probability that Mesa will randomly drawn orange marble from the remaining marbles in jar
Answers
Answer:
7/11
Step-by-step explanation:
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.what is 2 + 2? and how does that work
Answers
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
how to simply this equation
Answers
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
