Find the volume of the prism
Answer:
20m^3
Step-by-step explanation:
1/2 x 2 x 4 x 5 = 20
Hope this helps!
Answer:
volume of prism = ½ bhl½*2*5*420A portion of an amusement park ride is shown. Find EF. Write your answer as a fraction in the simplest form
The point of intersection of two straight line graphs is the point with coordinates that satisfies both lines equations
The length of segment EF is presented as follows;
[tex]EF =\underline{\mathbf{ 17\dfrac{1}{7} \ ft.}}[/tex]
The reason why the above value is correct is as follows;
The given parameters are;
Height of right triangle ACD = 40 ft.
Height of right triangle BCD = 30 ft.
Required:
To find the length of EF
Solution:
The equation of the lines AC and BD are found and equated to find the height of EF as follows;
The slope of AC = [tex]\dfrac{-40}{CD}[/tex]
The equation of AC is presented as follows;
[tex]y - 40 = \dfrac{-40}{CD} \times (x - 0)[/tex]
[tex]y = \dfrac{-40}{CD} \times x + 40[/tex]
The slope of BD = [tex]\dfrac{30}{CD}[/tex]
The equation of BD is given as follows;
[tex]y - 30 = \dfrac{30}{CD} \times (x - CD)[/tex]
[tex]y = \dfrac{30}{CD} \times (x - CD)+ 30[/tex]
Equating both values of y to find the value of y at the intersecting point E, gives;
[tex]\dfrac{-40}{CD} \times x + 40 = \dfrac{30}{CD} \times (x - CD)+ 30[/tex]
Which gives;
[tex]\dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}[/tex]
Therefore;
40·CD - 40·x = 30·x
[tex]CD = \dfrac{70\cdot x}{40} = \dfrac{7\cdot x}{4}[/tex]
[tex]CD = \dfrac{7\cdot x}{4}[/tex]
Therefore, at E, we have;
[tex]y = EF= \dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}[/tex]
[tex]y = EF = \dfrac{40 \times \dfrac{7}{4}\cdot x - 40 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{30 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{120}{7} = 17\dfrac{1}{7}[/tex]
[tex]\underline {EF = 17\dfrac{1}{7} \ ft.}[/tex]
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Write a divison equation to show 100 ounces of soda equally among 12 people. how many ounces will each person have?
Answer:
100/12
They will each have 8 ounces.
Step-by-step explanation:
Answer:
8.3
Step-by-step explanation:
[tex]\frac{100}{12}[/tex]=8.3
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
ANSWER ASAP FOR BRAINLIEST
Step-by-step explanation:
Given : x³+y³+z³=k , k from 1 to 100
To Find : x, y, and z
Solution:
This Question can have lot of solutions as constraints are very less
there is no information whether x , y & z are integer
+ ve , Real numbers
k = 1
x= 1 , y = 0 , z = 0
x =0 , y = 1 , z = 0
x = 0 , y = 0 , = 1
k = 2
x= 1 , y = 1 , z = 0
x =0 , y = 1 , z = 1
x = 1 , y = 0 , = 1
k = 3
x= 1 , y = 1 , z = 3
x = 1 , y = 1 , z = 1
x = 1 , y = 0 , = 1
k = 4
x=∛3 , y = 1 , z = 0
x=∛2 , y = ∛2 , z = 0
x=∛2 , y = 1 , z = 1
This way we can have so many solution
Easiest :
x³+y³+z³=k,
x = ∛k , y = 0 , z = 0 will satisfy
27 students are in a class. 15 play soccer, 11 play basketball and 4 students don’t play ether sport. How many play both sports
Answer:
3
Step-by-step explanation
Someone plz help me plz giving brainliest
What is the slope of the line passing through the points (1, 3) and (3, 9)?
A. 6
B. 2
C. 3
D. 1/3
Answer:
slope is 3
Step-by-step explanation:
Mark brainliest plz
Its correct
Brainlyist pls give an explanation
What does 1/6 + 11/12 equal
What is the LCD of 8 5/12 and 3 5/8?
A.24
B.96
D.48
C.16
Answer:
24
Step-by-step explanation:
12, 24
8, 16, 24
can someone help plz?
Answer:
c. (2, 4)
Step-by-step explanation:
i hope this helps :)
Answer:
(2,4)
Step-by-step explanation:
4x-4=x+2
x=2
y=2+2
y=4
(x,y)=(2,4)
a cube has a volume of 27 cubic feet. suppose the dimensions are doubled. what is the volume of the new cube?
Answer:
54
Step-by-step explanation:
If there doubled that means add 27 plus 27
PLEASE HELPPP MEE PLEASEE!
9514 1404 393
Answer:
{A, E, H, J}, {B, C}, {D, F, G}
Step-by-step explanation:
The length:width ratios of the various rectangles are ...
A — 9 : 6 = 3 : 2B — 3 : 1C — 6 : 2 = 3 : 1D — 3 : 3 = 1 : 1E — 6 : 4 = 3 : 2F — 1 : 1G — 6 : 6 = 1 : 1H — 3 : 2J — 6 : 4 = 3 : 2The rectangles with 1 : 1 side ratios are D, F, G.
The rectangles with 3 : 1 side ratios are B, C.
The rectangles with 3 : 2 side ratios are A, E, H, J.
The rectangles in each of the following sets are proportional to one another:
{A, E, H, J}, {B, C}, {D, F, G}
_____
YMMV if you consider 3:2 different from 2:3.
ILL GIVE U BRAINLYIST
Answer:
D
Step-by-step explanation:
Enter the value for x that makes the equation-36-3x - 18 = 7 + 4x -19 true.
Answer:
x = -6
Step-by-step explanation:
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A baby giraffe measures 6 feet tall when it is
born, and it grows an average of foot each
month. Write an equation!
Answer:
equation 6+(½×n). n means the number of months
The equation that represents the situation is y = 6 + (1/2)x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A baby giraffe measures 6 feet tall when it is born.
Initial height of baby=6 feet.
Average growth per months = 1/2
=0.5 feet
Let x be the number of months.
And the height of a baby giraffe is y feet.
So equation is,
y = 6+0.5x
or, y = 6 + (1/2)x.
Therefore, the equation is y = 6 + (1/2)x.
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HELP ME PLS write in sentences and explain it and also help me solve it pls.??
Consider two lines. Line A is given by the function f(x) = 4x - 9, while Line B contains the points (0,5) and (2, 12).
Which statement is true?
-))
A)
Line A and Line B have the same slope,
B)
Line A has a greater slope than Line B.
C)
Line B has a greater slope than Line A.
D)
Line A slope is less than the slope of Line B.
Answer:
B) Line A has a greater slope than Line B.
Step-by-step explanation:
Eight more than the product of four and a number is twice the sum of the number and six. Write an equation that can be used to solve for this number. What is the number?
Please help....ill mark brainiest......
A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet
What is the height of the tank if it’s radius is 16 feet?
The height of the tank if it’s radius is 16 feet is,
⇒ Height = 9.02 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet.
Now, We know that;
Volume of a cylinder = π × radius² x height
Here, Radius is 16 feet.
Hence, We get;
Volume of a cylinder = π × radius² x height
7252 = 3.14 × 16² × h
⇒ 7252 = 803.84 h
⇒ h = 7252 / 803.84
⇒ h = 9.02 feet
Thus, The height of the tank if it’s radius is 16 feet is,
⇒ Height = 9.02 feet
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need help on my geomrty homework
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Answer:
You like to lift weights!!!!
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I NEED HELP ASAP PLEASE
Step-by-step explanation:
the answers for slope & x and y intercept are in the picture :)
A.60 degrees
B.35 degrees
C.80 degrees
D.40 degrees
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 30mm
Answer:
14 mm squared is the area
Step-by-step explanation:
Can somebody tell me how I would use a table to solve the product (2x − 4)(3x + 5)?
Reallyyy need helpppppppppp
Answer:
r = 3
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of a line passing through (4, 2) and (r, -6) is 8.
8 = [tex]\frac{2+6}{4-r}[/tex]
8(4 - r) = 8
4 - r = 1
r = 4 - 1
r = 3
Need this !!!! Badly
Answer:
78
Step-by-step explanation:
45 45 90can someone help me solve this
Answer:
8√2 or 8sqrt2
Step-by-step explanation:
What might weigh 20 kg?
a. small car
b. tablet
c. heavy suitcase
d. watermelon