Answer:
840 cm³
Step-by-step explanation:
In the figure attached, the prism is shown.
The prism can be divided into two rectangular prisms, one at the top, with dimensions 5 x 4 (= 12 - 8) x 6 cm, and the other one at the bottom with dimensions 15 x 6 x 8 cm.
Area of the first prism: 5*4*6 = 120 cm³
Area of the second prism: 15*6*8 = 720 cm³
Then, the volume of the complete prism is 120 + 720 = 840 cm³
The required total volume of the complete prism is 840 cm³.
We have to determine, The volume of the prism 5cm,12,cm 15cm,6cm 8cm.
According to the question,
The prism can be divided into two rectangular prisms,
First part at the top, with dimensions [tex]= 5 \times 4 \times( 12 - 8) = 5\times 4 \times 6 cm,[/tex]
And the other part one at the bottom with dimensions [tex]= 15 \times 6 \times 8 cm.[/tex]
Area of the first prism: [tex]5\times4\times6 = 120 cm^{3}[/tex]
Area of the second prism: [tex]15\times6\times8 = 720 cm^{3}[/tex]
Then, The Total volume of the complete prism is 120 + 720 = 840 cm³
Hence, The required total volume of the complete prism is 840 cm³.
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1, Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and y.
2. Two lines meet at a point that is also the vertex of an angle. Set up and solve the appropriate equations to determine and .
3. Two lines meet at a point that is also the endpoint of two rays. Set up and solve the appropriate equations for and n?
THE PICTURES ARE IN order
Answer:
Take a look at explanation below;
Step-by-step explanation:
See attachment( s ) below;
The value of x and y angles on the given lines are x=35 degrees and y=125 degrees.
What is a straight line?A line is a collection of points which joins the two points on the surface.
How to calculate an angle?If we consider the angles which are linear pair, we found that
55 +y=180 because they are on a straight line.
From the figure wee found that x+55+90=180 because they are on a straight line.
solving the second equation we will get , x=180-145=35
solving the first equation we will get , y=180-55=125.
Hence the value of x angle is 35 degrees and the value of y angle is 125 degrees.
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What is the value of log, 3437
Answer:
i got 3.5....................
A marketing researcher is investigating where consumers go to shop for produce. In a survey, consumers are asked to choose where they are most likely to shop for produce: the supermarket, the farmers market, or the superstore. The surveys are handed to customers at the entrance of a local supermarket. Why is this an inaccurate survey method?
A.
The surveys should be handed out at a superstore; not at the supermarket.
B.
The surveys should be handed out in the produce section; not at the entrance.
C.
The surveys should be handed out at a neutral location; not at the supermarket.
D.
The surveys should be handed out at a farmers market; not at the supermarket.
Answer: C.
Step-by-step explanation:
Answer:
The correct answer, I’m pretty sure, is c?
Lol, I hope I helped!!
5 points
An airplane approaches an airport. At a certain time, the plane is 1020m
high. Its angle of elevation measured from the airport is 20.5 degrees.
How far is the plane from the airport to the nearest meter? *
A-2728
B-2913
C-1089
D-3
Answer:
2728.11m
Step-by-step explanation:
The height of the plane is 1020m
The airport makes an angle of elevation of 20.50° with the plane
The distance of the plane from the airport = ?
See attached document for better illustration of the position of the plane and airport
Using SOHCAHTOA,
tanΘ = opposite/ adjacent
θ = 20.50°
opposite = 1020m
adjacent = ? = x
Tanθ = opposite/ adjacent
Tan20.50 = 1020 / x
X = 1020 / tan20.50
X = 1020 / 0.37388
X = 2728.11m
The distance of the plane from the airport is 2728.11m
write a function a rental company charges $45 per day to rent a car as well as $25 fee for the car's navigation system
Answer:
f(x)=45x+25
Step-by-step explanation:
_____ are lines that are neither parallel nor intersecting.
Answer: Skew line
Step-by-step explanation:
Because it’s 3 dimensional
Given that the quadrilateral EFGH is a trapezoid, m
Answer:
I need more information
Step-by-step explanation:
Answer:
z = 4°
Solution:
Given EFGH is an isosceles trapezoid.
By the property of isosceles trapezoid, non-parallel sides are congruent.
⇒ GH = EF
Angles opposite to equal sides are congruent.
∠H ≅ ∠G
m∠H = m∠G
105° = 3z + 93°
Subtract 93° from both sides, we get
12° = 3z
Divide by 3 on both sides, we get
4° = z
Switch the sides.
z = 4°
Hence the value of x is 4°.
Elsa drove 245 m in 4.5 h. How many hours will it take her ti drive 650 m?
Answer: It took 65 hours for her to drive
Step-by-step explanation:
A scientist is studying a colony of bacteria. Initially, the colony consists of 126 bacteria. The following function represents the number of bacteria in the colony after h hours, where r is the rate of growth.
it's 5. Five... just five
What is the second part of the process of investigating a question using
data?
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data
The second part of the process of investigating a question using
data is Collecting the Data.
We have given that options,
A. Making an inference
B. Describing the data
C. Rephrasing the question
D. Collecting the data
We have to determine which option is correct for
The second part of the process of investigating a question using
data.
What is the second part of the process of investigating?The investigative process is a progression of activities or steps moving from evidence-gathering tasks.
Therefore in this case second part of the process of investigating is collecting the data.
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Answer: B. Describing the data
Step-by-step explanation:
Please answer CORRECTLY , Will mark brainliest !!!!!!
Answer:
A
Step-by-step explanation:
A plane intersects the triangular prism below through points A, B, and C.
A triangular prism The bottom left vertex of the top base is labeled A. The top vertex of the bottom base is labeled B. The bottom right vertex of the bottom base is labeled C.
Which best describes the cross-section?
Answer:
triangle
Step-by-step explanation:
Stacey rolls a number cube and flips a coin. what is the probability that she rolls a 5 and the coin lands heads up?
Answer:
1/12
Step-by-step explanation:
1/6 for the number cube
and 1/2 for the coin landing on heads
1/6 times 1/2
This morning, Tammy's car had 15.03 gallons of fuel. Now, 4.9 gallons are left. How much fuel did Tammy use?
Answer:
10.13
Step-by-step explanation:
15.03-4.9=10.13
Answer:
10.13 gallons
Step-by-step explanation:
Here, you want to use subtraction
15.03-4.9
4.9 is that same as 4.90
So if we use a subtraction table...
15.03
04.90 -
--------
10.13
This works because I have taken away a digit from the 2nd colum
(Where the 5 was) and I replaced it with a 4 (which isn't shown in my workings). This digit I took away I put next to the 0 in the 3rd colum so I could successfully take away way 10 from 9.
Although the answer is 10.13, remember to state the gallons! So the proper answer should be 10.13 gallons!
Hope this helps!
Express 0.31 as a percent.
Answer: 31%
Step-by-step explanation: We can change a decimal to a percent by moving the decimal point two places to the right.
So in this problem, to change 0.31 to a percent, we
move the decimal point two places to the right.
So we have 31%.
So 0.31 can be written as 31%.
This should make sense because 0.31 can be read
as 31 hundredths or 31 over 100 which is 31%
Answer:
31%
Step-by-step explanation:
To change 0.31 into a percent, you must move the decimal to the right two times.
When we move the decimal in 0.31, it will look like this:
03.1
Now, if we move the decimal again, it will look like this but will be equivalent to 31%:
031. = 31%
Another step-by-step explanation:
You can also write 0.31 as a fraction which is:
31/100 = 31%
It will still be equal to 31%.
Therefore, 0.31 as a percent is equal to 31%.
Hope this helps!
~Hocus Pocus
The graph of g(x)=x^2 was transformed to create the graph of h(x)= -(x/4)^2. Which of these describes the transformation from the graph of g to the graph of h?
F. A reflection over the x-axis and a horizontal stretch
G. A reflection over the y-axis and a horizontal stretch
H. A reflection over the x-axis and a vertical stretch
J. A reflection over the y-axis and a vertical stretch
Answer:
F. A reflection over the x-axis and a horizontal stretch
Step-by-step explanation:
Using Desmos, a well-known graphing-calculator website, you can input the two equations. You can see that the h(x)= -(x/4)^2 equation does in-fact reflect over the x-axis and is wider than x^2, meaning that it has a horizontal stretch.
5 people visited SmashBurger. Each person bought a hamburger (h) and a bottle of water (w). Write an expression that shows the amount of hamburgers and bottles of water were purchased.
Answer:
Total amount of hamburgers and bottles of water = 5 h + 5 w = 5 (h + w)
Step-by-step explanation:
Since each person in the group of 5 people bought a hamburger (h), and a bottle of water (w), we can write for the total of hamburgers plus bottles of water:
Total = 5 h + 5 w = 5 (h + w)
what is the exact volume of the cylinder
Answer:
54π
Step-by-step explanation:
that's the answer ok
Solve for x:
[tex]x-2(x-\frac{3}{2}x)=2(4-x)+10[/tex]
Answer:
[tex]x = \frac{9}{2}[/tex]
Step-by-step explanation:
x - 2 (x - [tex]\frac{3x}{2}[/tex]) = 2 (4 - x) + 10
x − 2 × [tex]\frac{-x}{2}[/tex] =2(4−x)+10
x−(−x)=2(4−x)+10
x+x=2(4−x)+10
2x=2(4−x)+10
2x=8−2x+10
2x=−2x+18
2x+2x=18
4x=18
[tex]x = \frac{18}{4}[/tex]
[tex]x = \frac{9}{2}[/tex]
Please answer CORRECTLY !!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
C.
Step-by-step explanation:
So just make the statement easier to read.
Simplify it down to 8 > 2 * 5
The students that had grade 8 was more than twice the number of students who got 5.
Answer:
cStep-by-step explanation:
the > is pointing at the 8 which means the 8 is bigger
sorry again for asking this but can someone explain this and give me the answer. Been having a hard time learning this.
Hey!!!
In question no.4, we have to subtract the equation.
In question no.5 we have to add the equation.
Hope it will help you...
Have a great dayHelp please I needed! Find the missing sides please attach your work!
Answer:
x = 32
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin 30 = 16/ x
Multiply each side by x
x sin 30 = 16/x * x
x sin 30 = 16
Divide each side by sin 30
x = 16/ sin 30
x = 16 / (1/2)
x = 32
Answer:
c, x = 32
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin 30 = 16/ x
Multiply each side by x
x sin 30 = 16/x * x
x sin 30 = 16
Divide each side by sin 30
x = 16/ sin 30
x = 16 / (1/2)
x = 32
please make me the brainliest
Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Part 1: Find and list all the possible roots of F(x).
Part 2: Use the remainder Theorem to determine which of the roots from Part I are roots of F(x).
Part 3:Factor the polynomial F(x)=x^3-x^2-4x+4 completely show your work.
Part 4:check your answer from Part 3 by multiplying the factors. Show your work
Answer:
Step-by-step explanation:
PART 1:
Possible roots by noticing the coefficient of first term:
x = 1, -1
PART 2:
1 | 1 -1 -4 4
1 0 -4
1 0 -4 0
The remainder is zero, hence one factor is (x-1)
PART 3:
[tex]x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)[/tex]
PART 4:
[tex]f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4[/tex]
a company makes cones out solid foam. each cone has a height of 12 inches, and it's base has a diameter of 3 inches. how much foam is needed to make 150 cones
Solid foam indicates that the cones are made purely out of foam, meaning there is no air or empty space besides the holes in the foam.
So, this means that we are solving for the volume of a cone and then multiplying it by 150 to find out how much foam is required for 150 cones.
V = πr^2(h/3)
π = 3.14
r = 1.5
h = 12
Now, we can plug in our values to solve for volume.
V = 3.14(1.5^2)12/3
V = 3.14(1.5^2)4
V = 3.14 x 2.25
V = 7.065
Round it to the nearest hundredths.
7.065 --> 7.07
Lastly, multiply by 150.
7.07 x 150 = 1,060cm^3 of foam
Thus, 1,060cm^3 of foam is required to make 150 cones.
Determine the length of the arc that subtends an angle of 2.8 radians at the centre of a circle with a radius 12cm.
A. 13.3 cm
B. 33.6 cm
C. 16.8 cm
D. 148.0 cm
Answer:
B. 33.6 cm
Step-by-step explanation:
To find determine the length of an arc that subtends an angle of 2.8 radians at the centre of a circle with radius 12 cm, we will follow the steps below;
First write down the formula for calculating length of an arc
If the angle is measured in degree, then the formula for calculating the length of an arc is :
length of an arc = Ф/360 × 2πr
but if the angle is measured in radians, then the formula for calculating length of an arc will be:
length of an arc = r Ф
where r is the radius and Ф is the central angle in radians
In the case of the question given to us, the angle is given in radians, so we will use the second formula
angle Ф = 2.8
radius = 12 cm
length of an arc = r Ф
=12 × 2.8
=33.6
Length of the arc = 33.6 cm
please help! type of correspondence q's.
Answer:
See below in bold.
Step-by-step explanation:
A. (x + 7)^2 + (y - 7)^2 = 10.
This is the equation of a circle.
It is NOT a function
One to many correspondence.
B. y = x^2 + 2x - 3
This is a parabola which opens upwards.
It is a function.
For 2 values of x ( except at the vertex) there is one value of y so it is
many to one correspondence.
2) Find the common difference in the arithmetic sequence, an, in which a1 = 16 and a9 = 36.
[Show all work.]
The common difference in the arithmetic sequence is 2.5
What is arithmetic sequence ?
Arithmetic sequence is a sequence in which the differences between consecutive terms are always same.
Example : 2, 5, 8, 11, ..... is an arithmetic sequence where the common difference is 3.
What is the formula of arithmetic sequence ?Formula of arithmetic sequence is [tex]a_{n} =a_{1}+(n-1)d[/tex] ,
where [tex]a_{n}[/tex]= [tex]n^{th}[/tex] term in the sequence,
[tex]a_{1}[/tex]= [tex]1^{st}[/tex] term in the sequence,
d = common difference between terms
How to find required common difference ?Given, [tex]a_{1}[/tex] = 16 and [tex]a_{9}[/tex] = 36
Let, d be the common difference.
∴ From the formula of arithmetic sequence,
[tex]a_{9} =a_{1}+(9-1)d[/tex]
⇒ 36 = 16+8d
⇒ 36-16=8d
⇒ 20=8d
⇒ d = 20/8
⇒ d = 5/2 = 2.5
Hence, The common difference is 2.5
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EDGE 2020 NEED HELP
which is the graph of the function y=2 tan(x+3pi/4)
30 POINTS!!!!! PLEASE HELP
Answer:D
Step-by-step explanation:
Found on another page
Answer:
D
Step-by-step explanation:
True or false?
Circumference/diameter = π for every circle.
Answer:
True
Step-by-step explanation:
Just remeber C then D Like a CD, because a cd is a circle XD hope I help
Find the surface area of the pyramid. The side lengths of the base are equal.
The surface area is
square inches.
Answer:
251.6
Step-by-step explanation:
triangle= 1/2bh
1/2(8)14 times 4
224
1/2(6.9)8
27.6
now you add them
224+27.6= 251.6
Answer:
251.6
Step-by-step explanation: