A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. The formula for volume of a prism is V = Bh. The variable B stands for the . In this prism, B equals in.2. The variable h stands for . In this prism, h is in. The volume of the prism is in.3. This question is from e2020
Answers
Answer:
Variable B is the area of triangular base.
B = 38.5 [tex]in^{2}[/tex].
Variable h is the height of pyramid.
In the given prism, h is 9 inches.
The volume of prism is 346.5 [tex]in^{3}[/tex].
Step-by-step explanation:
Please refer to the attached image for the detailed labeling of all the sides.
[tex]\triangle ABC[/tex] is the triangular base of the prism.
BC is the base of triangular base of the prism.
AP is the height of triangular base.
Area of triangular base is represented by B and is calculated by following formula of area of a triangle.
[tex]Area = \dfrac{1}{2} \times \text{Base}\times \text{Height}[/tex]
[tex]\Rightarrow \dfrac{1}{2} \times 11 \times 7\\\Rightarrow 38.5\ in^{2}[/tex]
Hence, B = 38.5 [tex]in^{2}[/tex].
Height of prism, h = 9 in
h is represented as side BE in the attached image.
It is know that volume of prism is given as :
V = Bh
Putting values of B and h:
[tex]V = 38.5 \times 9\\\Rightarrow V = 346.5\ in^{3}[/tex]
Answer:
The formula for volume of a prism is V = Bh.
The variable B stands for the ✔ area of the base.
In this prism, B equals ✔ 38.5 in.².
The variable h stands for ✔ height.
In this prism, h is ✔ 9 in.
The volume of the prism is ✔ 346.5 in.³.
Explanation:
The answer above mine is correct. I hope this helps!
Related Questions
Which polynomial is equivalent to the expression
Answers
Answer:
The correct answer is B
the answer is attached to the picture
Answer:
[tex]4 {y}^{2} -12y + 9[/tex]
Answer C is correctStep-by-step explanation:
[tex](2y - 3)(2y - 3) \\ 2y(2y - 3) - 3(2y - 3) \\ 4 {y}^{2} - 6y - 6y + 9 \\ = 4 {y}^{2} - 12y + 9[/tex]
A bag of animal crackers contains 5 monkeys, 4 giraffes, 6 elephants, and 3 tigers. Suppose you draw a cracker at random. Find the probability of pulling a monkey cracker as a fraction.
Answers
Answer:
5/18
Step-by-step explanation:
Step one
Given data
5 monkeys,
4 giraffes,
6 elephants, and
3 tigers.
Step two
Given the sample space
S =(5, 4,6,3) = 5+4+6+3=18
Step three
the probability of pulling a card at random when picking up a card is
Pr(monkey) = 5/18
1) Determine the period of the function in exact terms of pi: y = 6 sin (10x)
2) Determine the period of the function in exact terms of pi: y = 7 sin (x/3)
3) If the period of a sinusoidal function is equal to 18, which of the following gives its frequency?
a) π/9
b) 18π
c) π/18
d) 6π
4) When the period of a sine function doubles, the frequency
a) doubles
b) increases by 2
c) is halved
d) decreases by 2
Answers
Please,someone can help me this question!!!
Answers
Answer:
x=126°, y=234°
Step-by-step explanation:
B altrenates A
180-54=126, x=126°
D is 180°, 54+180=234°
How would I solve this?
Answers
Answer:
3(6)-1
----------------
2(6)+1
Step-by-step explanation:
r(x) = 3x-1
s(x) = 2x+1
r(6) / s(6)
r(6) = 3(6)-1
s(6) = 2(6)+1
Putting r(6)/ s(6)
3(6)-1
----------------
2(6)+1
Find the area of the regular pentagon. WILL GIVE BRAINLIEST!
Answers
Answer: 61.5
Step-by-step explanation:
Area of a regular pentagon= pa/2
Perimeter: 30
Apothem is shown as 4.1
30*4.1= 123
123/2
61.5
pls mark me brainliest if im right
The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5 feet.
The side of a ramp is to be painted. The ramp has a length of 11.1 feet, reaches a height of 1.5 feet, and runs 11 feet on the ground. What is the area of the space that will be painted? If necessary, round to the nearest tenth.
The area of the painted space is
square feet.
Answers
Answer:
Step-by-step explanation:
area of two sides of ramp=2*1/2*11*1.5=16.5 ft²
Answer:
8.3 ft
Step-by-step explanation:
area of two sides of ramp=2*1/2*11.1*1.5= 8.3 ft
2(t+1) = 102(t+1)=10 t=?
Answers
Answer:
t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2
Step-by-step explanation:
First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.
Now the equation is 2t+2 = 102t+102 = 10
You are now going to combine like terms, 2t - 102t = 102 - 2 = 10
-100t = 100 = 10.
Now subtract 100 from 100 and 10, which makes it: -100t = -90
Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10
Answer:
t = 4
Step-by-step explanation:
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, "Do you prefer pizza or a veggie burger for lunch?" and 67, percent answered "pizza."
Answers
Answer: 67 percent of all students at Ridgemont High prefer pizza for lunch.
Step-by-step explanation:
Here is the complete question:
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, “Do you prefer pizza or a veggie burger for lunch?” and 67%, percent answered “pizza.”
Based on this data, which of the following conclusions are valid?
a. 67, percent of all students at Ridgemont High prefer pizza for lunch.
b. 67, percent of the students in the sample prefer pizza for lunch, but we cannot conclude anything about the population.
c. About 67, percent of all teenagers prefer pizza for lunch.
From the question, we are informed that Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, which is "Do you prefer pizza or a veggie burger for lunch?" and then 67, percent answered "pizza.
Based on the scenario, this shows that 67% of the students at Ridgemont High School prefers pizza whenever they want to have lunch.
Answer:
A
Step-by-step explanation:
Which of the following could be the side lengths of similar triangles?
Question 5 options:
1, 2, 3 and 4, 5, 6
2, 3, 8 and 4, 6, 16
1, 1, 7 and 2, 3, 14
5, 10, 20 and 5, 10, 15
Answers
Answer:
1rst option
Step-by-step explanation:
What number is greater than -8.67
Answers
Answer:
Any number over then 1 is greater than -8.67 and any number less than -8.67is greater as well.
Step-by-step explanation:
In class of 24 students, 1/3 of the class has brown eyes. How many students have brown eyes?Immersive Reader
Answers
Answer:
8 have brown eyes
Step-by-step explanation:
you do the total number of student over the faction
24/3=8
Answer:
8 students in the class have brown eyes
Step-by-step explanation:
to find how many students in the class has brown eyes multiply 3/4 with total number of students in the class.
1/3 ×24=8
What is the volume (in cubic units) of a sphere with a radius of 21 units? Assume that =3.14 and round your answer to the nearest hundredth when necessary.
Answers
Answer: [tex]V=38772.72\ units^3[/tex]
Step-by-step explanation:
Given
radius of sphere [tex]r=21\ units[/tex]
Volume of sphere can be calculated by this formula
[tex]V=\frac{4\pi }{3}r^2[/tex]
[tex]V=\frac{4\pi }{3}\times (21)^3[/tex]
[tex]V=\frac{4\pi }{3}\times 9261[/tex]
[tex]V=38772.72\ units^3[/tex]
Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him directly back home?
A triangle has side lengths 2, 3, and hypotenuse d.
2 squared + 3 squared = d squared
3 squared minus 2 squared = d squared
d squared + 2 squared = 3 squared
d squared + 3 squared = 2 squared
Answers
Answer:
The first one, 2 square+ 3 squared= d squared
Step-by-step explanation:
The theory for finding the hypotenuse of a triangle is:
[tex]a^{2} + b^{2} = c^{2}\\or\\(2)^{2}+(3)^{2}=d^{2}[/tex]
Answer: Option A
(A) 2 squared + 3 squared = d squared
2^2+3^2=d^2
Step-by-step explanation:
please help it's about math
Answers
Answer:
Step-by-step explanation:
surface area=area of four sides+area of top
=2(24+13)×8+24×13
=2×37×8+24×13
=592+312
=904 cm²
area of one tile=1×1=1 cm²
number of tiles=904/1=904
Fiona needs $60 per week for necessities. Her dad gives her $30 for weekly allowance. She has to earn the rest of the money. A friend recommends her for a housekeeping job where she will be paid $9.50 an hour for organizing the pantry. How many hours does Fiona need to work in order for the total weekly income to exceed $60?
Answers
Answer:
4 hours
Plz mark me brainliest
Step-by-step explanation:
Which equations have a leading coefficient of 3 and a constant term of -2?
Answers
Answer:
Step-by-step explanation:
So you just need:
Number here = (3 * variable ^ number greater than 2) - 2
Randy is using a map scale of 1 inch is 24 miles find the length of the map from east to west and the link from north to sell the distance across the state is 430 miles an from north to south the greatest distance about 200 miles
Answers
Answer:
theez nutz
Step-by-step explanation:
How many solutions does the system have? y=5+6x y=6x+5
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
2.
A gallon of paint will cover an area of 200 ft. What are
the dimensions of the largest square wall that could be
covered by that gallon?
F.
14.1 ft x 14.1 ft
15 ft x 15 ft
14 ft x 14 ft
15.8 ft x 15.1 ft
H.
J.
Answers
Answer:
Step-by-step explanation:
You multiply 14.1 times 14.1 and you get 198.81 which is the closest to 200
What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)
Answers
Answer:
5.9× 10^4
Step-by-step explanation:
I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.
The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4
or
5.9× 10^4
Problem #3: How many 3/4 pound packages of sugar can be mode from 17_1/4 pounds of sugar? *
Answers
Answer:
23 packages
Step-by-step explanation:
To find the number of [tex]\frac{3}{4}[/tex] pound packages that can be made from [tex]17\frac{1}{4}[/tex] pounds, we simply divide [tex]17\frac{1}{4}[/tex] by [tex]\frac{3}{4}[/tex].
[tex]\frac{17\frac{1}{4} }{\frac{3}{4} }[/tex]
=> [tex]\frac{\frac{69}{4} }{\frac{3}{4} }[/tex] = [tex]\frac{69}{4} * \frac{4}{3}[/tex] = 23
23 packages of sugar can be made.
it was recently estimated that females outnumber males by seven to three. if there are 3450 people in a country, how many are females.
Answers
There are 2415 females in the country.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
There are 3450 people in a country.
It was recently estimated that females outnumber males by seven to three.
That means,
70% are the females.
So, the number of females,
= 70% of, 3450
= 70 x 3450 / 100
= 2415.
Therefore, 2415 females are in the country.
To learn more about the percentage;
https://brainly.com/question/24159063
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Jason knows that the equation to calculate the period of a simple pendulum is , where T is the period, L is the length of the rod, and g is the acceleration due to gravity. He also knows that the frequency (f) of the pendulum is the reciprocal of its period. How can he express L in terms of g and f?
Answers
Answer:
[tex]L=\dfrac{g}{4\pi^2 f^2}[/tex]
Step-by-step explanation:
The equation to calculate the period of a simple pendulum is: [tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
Where:
T is the periodL is the length of the rod; and g is the acceleration due to gravity.Likewise, Frequency (f) of the pendulum [tex]f=\frac{1}{T}[/tex] therefore [tex]T=\frac{1}{f}[/tex]
We want to express L in terms of g and f.
From
[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]
[tex]T=\frac{1}{f}[/tex]
[tex]\frac{1}{f}=2\pi \sqrt{\frac{L}{g} }\\$Divide both sides by 2\pi\\\dfrac{1}{2\pi f}=\sqrt{\dfrac{L}{g} }\\$Square both sides\\\left(\dfrac{1}{2\pi f}\right)^2=\dfrac{L}{g}[/tex]
[tex]\dfrac{1}{4\pi^2 f^2}=\dfrac{L}{g} \\$Multiply both sides by g\\Therefore: L=\dfrac{g}{4\pi^2 f^2}[/tex]
PLS HELP ME
Which expression is equivalent to (4.5×102)+(6.0×103) and written in scientific notation?
A
1.05×106
B
2.7×106
C
6.45×103
D
10.5×105
Answers
Answer:
C
6.45×103
Step-by-step explanation:
have a good day
An equivalent expression in scientific notation is,
⇒ 6.45 × 10³
Option C is true.
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ (4.5×10²) + (6.0×10³)
Now, We can simplify the expression as;
⇒ (4.5×10²) + (6.0×10³)
⇒ (4.5×10²) + (60×10²)
⇒ (4.5 + 60) × 10²
⇒ 64.5 × 10²
⇒ 6.45 × 10³
Learn more about the scientific notation visit:
https://brainly.com/question/1767229
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can anyone slove this question.
Answers
Answer:
11%
Step-by-step explanation:
The equation would be 99=1200(r)(0.75). You would solve the equation to get the answer 11/100. Then you could convert it to a decimal to get 0.11, Then multiply the decimal by 100 to get 11.
What is the length of leg s of the triangle below?
245
909
A. 2.2
B. 16
C. 4
D. 1.5
E. 1.5
F. ^32
Answers
Answer:creo que es la E
Step-by-step explanation:
Please find the question
Answers
Answer:
By distance formula ,
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB = 6.71 units
100 POINTS. WILL MARK BRAINLIEST
It is a very stormy morning. Only 3/4 of the students made it to school. Another one third of the total number of those students that made it to school will be leaving for a band concert. Normally there are 36 students in class, how many will be in class that day?
Answers
I think the answer is 18 students.
Step-by-step explanation:
36 × [tex]\frac{3}{4}[/tex] = 27
27 × (1 - [tex]\frac{1}{3}[/tex]) = 27 × [tex]\frac{2}{3}[/tex] = 18
I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!
A bag contains 3 red marbles, 4 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be red?
Answers
Answer:
0.091
Step-by-step explanation:
So you have 12 marbles in all.
If you take out 1, there is a 1 / 3 chance that it is red.
If you take out the second one, there is a 3 / 11 chance it is red if the first one is red.
1 / 3 * 3 / 11 = 1 / 11
0.091