Answer:
[tex]10000m^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism.The swimming pool takes the shape of a rectangular prism, and we are required to find the volume of the pool.
Given data
length l = 100m
width w= 25m
depth/height h= 4m
We know that the expression for the volume of a rectangular prism is
[tex]volume= length*width*height\\[/tex]
substituting our given data we have
[tex]volume = 100*25*4\\volume= 10000m^{3}[/tex]
Hence the volume of water that can fill the pool is [tex]10000m^{3}[/tex]
Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.
Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.
Step-by-step explanation:
2 * 1.5 * 2= 6
Answer:
B
Step-by-step explanation:
its B
He base of a pentagonal prism has an area of 2.4 m2. The prism has a volume of 4.8 m3. What is its height? Use sketches, formulas and/or charts to justify your answer
Answer:
The height of the prism is 2m
Step-by-step explanation:
Given;
The volume of pentagonal prism, V = 4.8 m^3
Area of the prism, A = 2.4 m^2
To determine the height of the prism, we consider the following;
Volume of any prism = Area of the prism x height of the prism
Height of the prism = volume of the prism / Area of the prism
Height of the prism = 4.8 / 2.4
Height of the prism = 2 m
Therefore, the height of the prism is 2m
Simply the expression. (7x^2y^3)^4
Answer:
2401x^8y^12
Step-by-step explanation:
You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
This one and 1 more !!!
Answer: 30!
Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the pond. Below is a picture of the pond.
a. Create an equation that can be used to solve for the width, x, of the walkway.
b. Use any method (other than graphing) to figure out how much the width, x, of the walkway will be.
Answer:
A- 3x2= 6
6 divided by 2 is 3
B- flip it around with division first
Step-by-step explanation:
3x0? plz halp... I don't understant
Answer: 0 ok
Step-by-step explanation: please I want to be brainliest
please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog is randomly chosen to lead the parade, what is the probability that a medium-sized dog will be chosen
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]
Answer:
0.3
Step-by-step explanation:
Which of the following equations will yield the surface area of cylinder?
Answer: [tex]A=2\pi rh+2\pi r^2[/tex]
The guy on the top is rite. ☻♥
Select all ratios equivalent to 16:4.
12:3
1:2
24:6
can you show me a picture then maybe i can help you
Please Help!!!! ASAP!! I will mark Brainliest!!! Please awnser CORRECTLY!! No guessing.
Answer:
C
Step-by-step explanation:
f(5) means we must plug in 5 wherever we see an x in the function.
[tex]f(x) = \frac{1}{9} 3^{x}[/tex]
[tex]f(5) = \frac{1}{9} 3^{5}[/tex]
[tex]f(5) = \frac{1}{9} * 243[/tex]
[tex]f(5) = \frac{243}{9} = 27[/tex]
So f(5) = 27! The answer is C.
What is the slope of the line x= -1
plz help
who ever answers first will get brainliest
Answer:
Step-by-step explanation:
If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.
Answer:
its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1
Step-by-step explanation:
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.6.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?
0.4*0.6 this gives
= 0.24
Help me pleasee for this equation
Answer:
11.3 (C)
Step-by-step explanation:
sqrt(12^2 - 4^2) =
sqrt(144 - 16) =
sqrt(128)-->
11.3 (C)
Answer:
11.3 ft
Step-by-step explanation:
We have a right triangle with the hypotenuse of 12 and a leg of 4
Using the pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 12^2
16 +b^2 = 144
Subtract 16 from each side
b^2 =144-16
b^2 =128
Taking the square root of each side
sqrt(b^2) = sqrt( 128)
b =11.3137085
36x^2 + 84xy + 49y^2 = ?
A. (6x + 7y)(6x - 7y)
B. (12x + 7y)(3x - 7y)
C. (6x + 7y)^2
D. (6x - 7y)^2
Answer:
The answer is C
Step-by-step explanation:
I need help with this question
2(y – 3) = 1.2 – y
Solve and explain
Answer:
y ≈ 2.4
Step-by-step explanation:
What is the slope of the line graphed in the picture
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.
Answer:
an hour and ten minutes long.
Step-by-step explanation:
Solve for x: 4(x + 2) = 3(x − 2) PLEASE HURRY
Answer:
X= -14
Step-by-step explanation
4(x + 2) =3(x-2)
4x + 8 = 3x - 6
4x - 3x= - 8 - 6
X = - 14
A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are:
(-2.5, 3), (2.5, 3), (6.5, 0), (2.5, -3), (-2.5, -3), (-6.5, 0). How long is each side of the park?
Answer:
5 unit
Step-by-step explanation:
by taking the two points and calculating their distance
length of each side of the park=
sq.rt[(6.5-2.5)^2 + (0-3)^2]
=5
Which function represents the graph of y=x^2 after it has been translated 4 units to the left?
options:
y=(x-4)^2 or y=(x+4)^2
Answer:
oh.. maybe you can install photomath
Answer:
y=(x+4)^2
Step-by-step explanation:
A trick I use is if it is a plus sign then it goes left, if it is a minus sign then it goes right.
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
300 Backpacks each week]
Step-by-step explanation:
dont have an explanation srry but the answer is totally 300 backpacks a week
Answer:
30
Step-by-step explanation:
Urgent please solve quickly please!
Solve the system of linear equations by substitution
-x+y=7
6x-y=-7
Answer: x = 0, y = 7
-x+y=7
add x to both sides
y=x+7
plug this in for y in the other equation
6x-(x+7)=-7
simplify
6x-x-7=-7
simplify
5x-7=-7
add 7 to both sides
5x=0
divide both sides by 5
x=0
plug in to one of the equations to find y
-(0)+y=7
y=7
Therefore, x=0 and y=7.
Hope this helps!
Answer:
x = 0. y = 7. (0,7)
Step-by-step explanation:
-x+y=7
+x. +x
y = x +7
6x-y= -7
6x - (x + 7) = -7
6x - x - 7 = -7
5x -7 = -7
+ 7. +7
5x = 0
÷5. ÷5
x = 0
-x + y = 7
0 + y = 7
y = 7
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measures are 2.5 deg and 177.5 deg.
Step-by-step explanation:
The ratio of the measures of larger angle to the smaller angle is 71:1.
71k + k = 180
72k = 180
k = 180/72
k = 2.5
71k = 71 * 2.5 = 177.5
Answer: The measures are 2.5 deg and 177.5 deg.
Given the following functions, find the indicated values.
Answer: Please provide an image of what you are talking about so that we can help you more.
i am having trouble i need help.
Answer:
A. y=2x-2
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
to find the slope intercept formula u need the slope, the y-intercept, and the X and Y
1st step: find the slope and to find the slope, pick any two points from the line
point 1: (2,2)
point 2: (3,4)
slope= y2-y1/x2-x1
4-2/3-2=2/1 or 2
the slope intercept form is y=mx+ b, so now substitute the variables for the known
y=2
x=2
m=2
2=2(2)+b
solve the equation
2=4+b
subtract 4 on both sides
b=-2
the slope intercept form is y=2x-2
