Answers
Solution:
~Refer to image~
We know that:
[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} \times \text{a}[/tex]
[tex]\bullet \ \ \ \text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Altitude }[/tex]
When looking at the triangle, we can tell that:
[tex]\bullet \ \ \ \text{Base} = 8 \ \text{ft} \\\\ \bullet \ \ \text{Altitude} = 6 \ \text{ft} \\\\ \bullet \ \ \text{a} = 12 \ \text{ft}[/tex]
Substitute the base, height, and altitude in the formula:
[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} \times \text{a}[/tex]
[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}\dfrac{1}{2} \times 8 \times 6\huge{\text{]} \times 12[/tex]
Solve for the volume:
[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}4 \times 6\huge{\text{]} \times 12[/tex]
[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}24\huge{\text{]} \times 12[/tex]
[tex]\bullet \ \ \ \boxed{\text{Volume of right triangular prism} = 288 \ \text{ft}^{3} }[/tex]
Area of base:-
1/2BH1/2(6)(8)3(8)24ft^2Volume:-
Area of base×Height24(12)288ft^3Related Questions
Question in photo! (Please help with other questions!)
Answers
Answer:
t₁ = 14
d = -2
Step-by-step explanation:
Given :-
t₆ = 4
t₁₀ = -4
To Find :-
t₁ and d
Solving :-
t₆ = t₁ + 5d = 4 -(1)
t₁₀ = t₁ + 9d = -4 -(2)
(2) - (1)
4d = -8
d = -2
t₁ + 5(-2) = 4
t₁ = 14
Solution :-
t₁ = 14
d = -2
If a sphere with diameter d is inscribed in a cube with side length e, what is the relationship between d and e?
Answers
Answer:
d = e
Step-by-step explanation:
An inscribed sphere in a cube will have a diameter equal to the edge length of the cube:
d = e
__
The distance between the faces of the cube is the same as the edge length.
A vase has the shape obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis, where x and y are measured in inches. What is the volume, in cubic inches, of the vase? A. 10.716 B. 25.501 C. 33.666 D. 71.113 E. 80.115
Answers
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume V is given by:
[tex]V=\pi \int\limits^0_5 {(R^2-r^2)} \, dx \\\\R = 2+sinx;r=0, hence:\\\\V=\pi \int\limits^0_5 {(2+sinx)^2} \, dx\\\\V=80.115\ unit^3[/tex]
The volume of the vase obtained by revolving the curve y=2+sinx from x=0 to x=5 about the x-axis is 80.115 unit³
Find out more on volume at: https://brainly.com/question/12410983
What is the solution to the linear equation: 2/5+p=4/5+3/5p
Answers
Answer:
p = 1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
2/5 + p = 3p/5
2/5 + p = (4 +3p)/5
2 + 5p = 4 + 3p
5p = 4 + 3p - 2
5p = 3p + 2
5p - 3p = 2
2p = 2
p = 1
Please mark me the brainliest!?!
Answer: C. P = 1
Step-by-step explanation: Plug in 1 to the both p variables on both sides, and you will get the same answer for each equation.
Hope this helped. :)
mixo uses 250 ml of flour to make 10 pancakes. increase the quantity of flour so that she can make 25 pancakes.
Answers
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Answers
Answer:
a store is charged $5.50 each for calculators and a delivery of $25 for the order. If stores sells the calculators for $8 each, how many calculators must be sold to produce a profit of at least $80?
Step-by-step explanation:
Cost minus the charge which is 8 dollars minus 5.50 is the difference in which you divide 80 by it. 8-5.50= 2.5. 80 divided by 25 = 32. Hope this is the answer you're looking for.
So what is the answer to this x+2=7+8
Answers
Answer:
x = 13
Step-by-step explanation:
x = 7 + 8 - 2
x = 7+6 = 13
just move 2 to the other side
2.) Pedro spends $23.50 at the local arcade and mini-golf course. Each round of mini-golf costs $7.50 and each
arcade game costs $2. Which of the following could be used to determine the number of arcade games Pedro can
play if he plays one round of mini-golf?
Answers
Answer:
7.50+2x=23.50
Step-by-step explanation:
I just had this question
Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinates of points A, B,..., c) Confirm your calculations by using technology
Answers
Step-by-step explanation:
try the option shown in the attachment.
Finally,
[tex]A(-2-\sqrt{3};0);[/tex]
[tex]B(-1-\sqrt{7};3-2\sqrt{7});[/tex]
[tex]C(-2+\sqrt{3};0);[/tex]
[tex]D(-1+\sqrt{7};3+2\sqrt{7});[/tex]
[tex]E(0;5);[/tex]
[tex]F(-\frac{5}{2};0);[/tex]
[tex]G(-2;-5).[/tex]
in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;
in order to calculate the vertex G it is needed to find x-coordinate:
x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).
Carlos and his friends are going to out to bowl, eat dinner, and see a movie. The starts at 8:10 p.M. And they want to arrive 20 minutes before it starts. They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater. At what time should they plan to leave Carlo's house?
Answers
Answer:
They should leave Carlo's house by 4:20 PM
Step-by-step explanation:
The movie starts at 8:10 pm, they want to arrive 20 minutes before the movie starts
20 minutes before 8:10 pm = 7:50 pm.
Hence, they should arrive by 7:50 pm
Duration of their activities before the movie is calculated as:
They will bowl for one hour and dinner will take 1 hour and 15 minutes. Travel time is 20 minutes to the bowling alley, 45 minutes ta the restaurant, and ten minutes to the theater.
: 1 hour + 1 hour 15 minutes + 20 minutes + 45 minutes + 10 minutes
= 2 hour 15 minutes + 75 minutes
= 2 hour 15 minutes +1 hour 15 minutes
= 3 hours 30 minutes in total.
The time they are meant to leave is calculated as:
7:50 pm - 3 hours 30 minutes
= 4:20pm
Identify the slope and point of the equation y-2=-4(x+3)
m= ,point( )
Answers
Answer:
m = -4
point = (-3,2)
Step-by-step explanation:
this is point slope form. y-y1=m (x-x1)
you can find the points from this and the slope. point = (x1,y1)
Find the perimeter of the figure below, in feet
(Note: Diagram is NOT to scale)
Answers
Answer:
56.6 ft
Step-by-step explanation:
→ Perimeter = All sides added together
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
Answer:
56.6
Step-by-step explanation:
Perimeter is just adding all the outer value of an shape
So we add all the answers
5.2 + 5.2 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 + 7.7 = 56.6
but there is easier way
5.2 x 2 = 10.4
7.7 x 6 = 46.2
10.4 + 46.2 = 56.6
at the end don't forget to add "ft"
Answer = 56.6 ft
Hope you understand
:-)
The radius of a circle is 12 meters. What is the circle's area
Answers
Answer:
452.16 m²
Step-by-step explanation:
Given :-
Radius = 12 m
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m²
Solution :-
452.16 m²
Answer:
144
Step-by-step explanation:
A=πr^2
Where:
A
is the Area of the Circle: what we are solving for in this problem.
r
is the Radius of the Circle: 12 meters for this problem
Substituting and calculating
A
gives:
A=π(12)^2m^2
A=π144m^2
A= 144m^2
This circle would have an area of 144 square meters.
By what percent will the product of two numbers change if one of them
increased by 20% and the other decreased by 20%?
Answers
Answer: The answer is 4% I hope it helps
Step-by-step explanation:
Step-by-step explanation:
4% I hope it serves you <)
Solve for x in the circle below. Show your work, equations, and mark your answer.
Answers
Answer:
x = -8
Step-by-step explanation:
The sum of arcs of a semicircle is 180°. That means the arc whose measure is -11x+12 has a measure of 180° -80° = 100°.
-11x +12 = 100
-11x = 88 . . . . . . subtract 12
x = -8 . . . . . . . divide by -11
The scatter diagram shows information about 10 cars.The 10 cars are the same type and make.
Another car is 4 years old and has been valued at £2600.
A)Show this information on the graph.
B) describe the relationship between the age and the value of the cars.
A car of the same type and make is 3 1/2 years old
C) estimate the value of the car
Answers
Answer:
a) you need to plot a cross on the graph (with the pencil) in the right place:
(x-axis: 4, y-axis: 2600)
b) the older the car is, the lower its value. there is a negative correlation between the cars age and its value.
c) you need to draw a line of best fit on the graph. where the line is at 3 1/2 years, that is its estimated value. (my guess is around £3000)
Brainliest given to correct answer.
Perimeter of a right triangle : 3 units , 5 units, 4 units
Surfaces of a three-dimensional figure
5ft, 7 ft, 3 ft
Volume of a three-dimensional figure
4m , 10 m , 3 m
Answers
Refer to picture below:
Answer/Step-by-step explanation:
Perimeter of a right triangle : 3 units , 5 units, 4 units
Perimeter = 3 + 4 + 5 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Surfaces of a three-dimensional figure: 5ft, 7 ft, 3 ft
Surfaces area: 2(7*3)+2(7*5)+2(3*5)
= 142 square feet
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Volume of a three-dimensional figure: 4m , 10 m , 3 m
Volume = 10 * 4 * 3 = 120 cubic meter
~Lenvy~
Answer:
Step-by-step explanation:
Perimeter of a triangle = sum of 3 sides
= 3 + 4 + 5
= 12 units
Surfaces of a three-dimensional figure = sum of 3 pairs of surfaces
= 5*7*2 + 7*3*2 + 3*5*2
= 70 + 42 + 30
= 142 square fts
Volume of a three-dimensional figure = length*width*height
= 4*10*3
= 120 m^3
How many square roots does the number 20 have 0 1 or 2
Answers
Answer:
Every positive real number has TWO square roots; One is positive and one is negative. They are opposites of each other.
Step-by-step explanation:
So the number 20 has 2
I need help, anyone please I’d appreciate it sm!!
Answers
The answer to the question is -4/5
Help pleaseeeeeeeee
Answers
Answer:
85 Degrees
Step-by-step explanation:
Alternate Interior Angles
9x+4=85
9x=81
x=9
Write the equation of the graph shown below in factored form.
F(x) = (x - 1)^2(x - 1)(x + 3)
Ofb) = (x - 1)^2(x + 1)(x - 3)
Answers
Answer: A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation: The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)
how do you surprise a blind person? you leave the plunger in the toilet !
Complete the function for this graph.
Answers
Answer:
-4
Step-by-step explanation:
The function for this graph is :
y = | x | + (-4)
It intersects the y-axis at (0, -4)
[tex]\\ \rm\Rrightarrow y=|x-h|+v[/tex]
[tex]\\ \rm\Rrightarrow y=|x-0|+(-4)[/tex]
[tex]\\ \rm\Rrightarrow y=|x|-4[/tex]
Choose all the fractions that are equivalent to1/7. (Click all that apply.)
4/28
7/49
7/70
2/8
2/14
5/35
Answers
Answer:
2/14, 4/28, 5/35, 7/70 or just 2/14
Step-by-step explanation:
Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14
And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.
helo guys i need help with this question
Answers
(Mark me the brainiset)
In the above figure, m∠A = 30° and m∠B = (2x + 10)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 55, m∠B = 60°
B.
x = 25, m∠B = 60°
C.
x = 70, m∠B = 150°
D.
x = 25, m∠B = 50°
Answers
Answer:
Step-by-step explanation:
option B
Complementary angles add up to 90°
m∠A + m∠B = 90
30 + 2x + 10 = 90
2x + 40 = 90
To find the value of x, we have to isolate x. To isolate x, first we have subtract 40 from both sides.
2x = 90 -40
2x = 50
Now, divide both sides by 2
x = 50/2
x = 25°
∠B = 2x + 10
= 2*25 + 10
= 50 + 10
∠B = 60°
NEED HELP ASAP! SOLVE THE SYSTEMS OF EQUATIONS AND SHOW YOUR WORK *
Answers
2x -3x +3 = -1
-x = -4
x = 4
Y = 4 -1
Y = 3
what is distance between these two points (-1,-3) (1,3)
Answers
Evaluate.
5⋅4^0
1. 0
2. 4
3. 5
Or 4. 20
Answers
Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.
−5
-1/5
1/5
5
Answers
Answer:
k = -5Step-by-step explanation:
Given
Functions f(x) and g(x) = k⋅f(x)
1. As per the graph, f(x) is increasing but g(x) is decreasing function, so k is negative2. Function g(x) is steeper than f(x), so k = - 5Answer:
third one
Step-by-step explanation:
A river is rising at a rate of 3 inches per hour. If the river rises more than 24 inches, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? Use the Math Quill tool to type the inequality that would be used to solve this problem. DO NOT SOLVE. I dont need the answer i just need the starting equation
Answers
Answer:
7 r 3
Step-by-step explanation:
Answer:
3r 'lesser than or equal to sign' 24
Step-by-step explanation: