w
h
Triangular Prismn width
17 inches, length = 12 inches and height = 21 inches.
V=
inches
Answers
Answer:
V = 0.5wlh = 0.5(17)(12)(21) = 2142in³.
Answer:
[tex]\boxed {\boxed {\sf v=2142 \ in^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism can be found by multiplying the area of the base by the height.
[tex]v=B*h[/tex]
The area of a triangle can be found by multiplying the base, height, and 1/2. In this problem, the base and height are width and length.
[tex]B= \frac{1}{2} *w*l[/tex]
Substitute this formula in for B.
[tex]v= (\frac{1}{2} *w*l)*h[/tex]
We know that the width is 17 inches, the length is 12 inches, and the height is 21 inches. Substitute the values in.
[tex]w= 17 \ in \\l= 12 \ in \\h= 21 \ in[/tex]
[tex]v= (\frac{1}{2}* 17 \ in * 12 \ in ) * 21 \ in[/tex]
Solve inside the parentheses first. Multiply 17 and 12.
[tex]v=(\frac{1}{2}*204 \ in^2) * 21 \ in[/tex]
Finish solving the parentheses by multiplying by 1/2 or dividing by 2.
[tex]v=102 \ in ^2 * 21 \ in[/tex]
Multiply.
[tex]v=2142 \ in^3[/tex]
The volume of the triangular prism is 2,142 cubic inches.
Related Questions
Brenna saved 36% on a $15 pair of sunglasses. Choose the correct expression to find 36% 0f 15$. ( Worth 25 points. )
A. 36 x 15
B. 36 x 0.15
C. 3.6 x 15
D. 0.36 x 15
Answers
Answer:
The answer is D.
Step-by-step explanation:
Sadly, this used to be my account before mods fiddled with my account, kept adding and subtracting points, and taking away my brainliest between January 2021 and March of 2021.
AHHH PLEASE HELP ITS MY LAST QUESTION ILL GIVE U FREE ART JUST HALP
Answers
Answer:
Imao still mad
Step-by-step explanation:
Write the linear equation for each of the lines below:
Answers
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b. The m would equal 3 because it goes up 3 and over 1. The b would equal 2 because that is the y-intercept.
1. On windy days at the beach, people often fly kites. Emma lets out 150 meters of string
on the kite she's flying Katie is flying a different kite nearby and she let out 120 meters
of string for her kite. The two kites run into each other and intersect at an angle of 72°
How far apart are Emma and Katie?
Answers
Answer:
18.28m
Step-by-step explanation:
What is an equation of the line that passes through the points (-5, -8) and (-4,-6)?
Put your answer in fully reduced form.
Answers
Answer:
Y = 2x + 2
Step-by-step explanation:
m = y2-y1 / x2-x1
Hope this helps. Pls give brainliest.
Find the coordinates for the midpoint of with endpoints M(-3, 8) and 1(-7, 6)?
Answers
Answer:
The mid point coordinates are: (-5, 7)
Step-by-step explanation:
Write the point-slope form of the equation of the line through the given point with the given
slope.
18) through: (3, -5), slope= -3
Answers
Answer:
The point-slope form of the equation is:
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]Step-by-step explanation:
Given
point (3, -5)slope = -3We know the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m = -3 and the point (3, -5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]
Thus, the point-slope form of the equation is:
[tex]y-\left(-5\right)=-3\left(x-3\right)[/tex]Find the measure of the angle indicated in bold
Answers
Answer:
29) 60°
30) 80°
Step-by-step explanation:
29)
8x + 4 = 11 + 7x
x = 7
∴ ∠ = 11 + 7(7) = 60
30)
14x - 4 = 12x + 8
2x = 12
x = 6
∴ ∠ = 14(6) - 4 = 80
Marissa is baking chocolate chip cookies. She has a total of 7 1/3 cups of chocolate chips. If each batch of cookies uses 2/3 of a cup of chocolate chips enter the greatest number of batches of cookies she can bake
Answers
Since 2/3 cup of chocolate chips = 1 batch
So 1/3 would = .5 (half a batch)
7 1/3 into a an improper fraction (just so it’s easier) = 22/3
In order to make 1/3 be 22/3 you would have to multiply 22 by 1/3
So you multiply 1/3 x 22 = 22/3
And you also multiply .5 x 22 = 11
So 22/3 (aka 7 1/3) serves 11 batches.
Not sure if this is right but the method I’m using is called the unitary method.
according to the graph, the system of linear equations has how many solutions?
a) 1
b) 2
c) no solutions
d) infinitely many
Answers
Answer: 1 solution
Step-by-step explanation:
The system of linear equations has a unique solution. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slopes are different then the system has one solution.
From the graph, the slope of the lines is different. Then the system of linear equations has a unique solution.
Thus, the correct option is A.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
Convert the expression
4 square root 5 to exponential form.
Answers
Answer:
I think the answer must be D.
What is the solution of the linear-quadratic system of equations?
y=x^2+5x−3
y−x=2
Answers
Answer:
x = 1, y = 3
x = -5, y = -3
Step-by-step explanation:
Point Form:
(1,3) , (-5, -3)
y = x²+5x−3
y−x = 2 = y = x+2
----------------------------------
x+2 = x²+5x-3
x² + 4x -5 =0
(x+5)(x-1)=0
x ₁= -5
x₂ = 1
-----------------------------------
y₁ = -5+2
y₁ = -3
y₂ = 1+2
y₂ = 3
yassss kwqueeennnnnn
Answers
Answer:
e
Step-by-step explanation:
Answer:
periodd aahh
Step-by-step explanation:
Who was chosen by the Second Continental Congress to write the Declaration of Independence?
Thomas Jefferson
Thomas Paine
John Hancock
Answers
Answer:
Thomas Jefferson
Step-by-step explanation:
Why'd you put this in the math section lol? Anyways, hope this helps! :D
Mateo’s school is selling tickets to the spring musical. On the first day of ticket sales the school sold 30 adult tickets and 90 children’s tickets for $750.00. The school made $670.00 on the second day by selling 80 adult tickets and 50 children tickets. What is the price of one adult ticket and one children ticket?
Answers
Answer:
Kids: 6.25
Adults: Also 6.25
Step-by-step explanation:
So I focused on the first day more. I noticed that 1/4 of the people who attended were kids, and that leaves it with 3/4 people which were adults.
25% (or 1/4) of 750 is 187.5
So 75% of 750 is 562.5
187.5+562.5=750 so we are on the right path
If the ticket for kids totaled 187.5 and 30 students got it, then the price for the ticket is 187.5/30=x and x equals 6.25
If the ticket for adults totaled 562.5 and 90 people got it, then the price is 562.5/90=y and y equals 6.25.
Checking if i'm correct:
6.25*30=187.5
6.25*90=562.5
187.5+562.5= 750
i probably didnt make it as clear im only in 7th grade, but hopefully this was the answer you were looking for
What would be the missing number
Answers
Answer: 16
Step-by-step explanation:
Because 50x2=100 and 8 x 2 is 16
Answer:
16/100
Step-by-step explanation:
cuz 50 is half of 100 all we need to do is multiply 8/50 by 2
Solve: -3(1 + 4x) = 33
What dies x equal?
X =
Answers
Answer:
X = -3
Step-by-step explanation:
-3 - 12x = 33
-12x = 33 + 3
-12x = 36
-12x/-12 = 36/-12
X = 3
(8 + 2c) + (-4 + 5m) + (7 + 3n)
group the like terms to simplify the equation
Answers
Answer:
11+2c+5m+3n
Step-by-step explanation:
8-4+7=11
you cant add 2c,5m,and 3n so you just leave them as 2c+5m+3n
then you add 11 to it and get 11+2c+5m+3n
PLEASE HELP DONT SKIP
Find the missing side marked "?"
Answers
Answer:
23
Step-by-step explanation:
sin (55)/a = sin(20)/10
15x^2 - 25 answer with a complete sentence
Answers
Answer:
No, the following expression is not a difference of squares. Binomial can not be factored as the difference of two perfect squares. 3 is not a square.
Step-by-step explanation:
Factor
15x^2 - 25
(15x)^2(-5)^5
Divide by 3 and factor
5(3x^2-5)
"Theory:
A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression."
I put a picture to help u understand.
Match the sequence (term) with the correct type of sequence (definition).
1. 5, 10, 15, 20,
2. 128, 32, 8, 2,
3. 20, 17, 14, 11,
4. 1, 3, 9, 27,
Options Below
a. Geometric, common ratio is 0.25
b. Geometric, common ratio is 3
c. Arithmetic, common difference is 5
d. Arithmetic, common difference is −3
Answers
Answer:
1. 5, 10, 15, 20, = C. Arithmetic, common difference is 5
2. 128, 32, 8, 2, = Geometric , Common ratio is 0.25
3. 20, 17, 14, 11, = Arithmetic , Common difference is -3
4. 1, 3, 9, 27, = Geometric , common ratio is 3
Step-by-step explanation:
In arithmetic sequence we calculate the common difference and it is gotten by:
[tex]T_2-T_1 \: or \\ T_4-T_3[/tex]
In geometric progression we calculate common ratio and it is gotten by :
[tex] \frac{T_2}{T_1} \: or \: \\ \frac{T_4}{T_3} [/tex]
please help me i don't understand what my answer should be . i'll give brianliest jus please help
Answers
Answer:
Step-by-step explanation:
1. ABE bc the both have a right angle. plus when added together, they make a square which means they are the same.
2. id remember how to do the second one i am so sorry
2: 12 not really sure
I had these on a test so I’m pretty sure there right but if you want to double check there should be a answer online
What’s the constant of proportionality in this story?
For four hours I drove an average of about 60mph and made it 240 miles. i don't understand
Answers
60 mph means:
60 miles in 1 hour
×4 ×4
240 miles in 4 hours
You need to multiply both by the same number, so it is proportional.
9514 1404 393
Answer:
60 mph, or 4 h
Step-by-step explanation:
In the relationship between distance, speed, and time, we find that distance is jointly proportional to speed and time. That means, the equation of proportionality can be written two ways:
distance = speed × time
distance = (60 mph) × time . . . . . 60 mph is the constant of proportionality
or ...
distance = time × speed
distance = (4 h) × speed . . . . . 4 h is the constant of proportionality
__
Usually, we take time to be the independent variable, so the first version applies. However, the second version is also a legitimate answer.
What is the x value of the solution to the system of equations?
5x + 4y = 8
2x-3y = 17
O-3
O-2
O 4
O5
Answers
Answer:
4
Step-by-step explanation:
Which of the following orders 2/3, 25%, 3/5, and 0.40 from least to greatest?
Answers
Describe the pattern. Then find the next two terms of the sequence.
4.5, 9, 18, 36
Answers
es of two children are 11 and 8 years.
In how many years' time will the product of
The
their ages be 208?
Answers
Answer:
In 5 years the product of their ages will be 208
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
[tex]88+11x+8x+x^2=208[/tex]
Simplifying:
[tex]x^2+19x-120=0[/tex]
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
Select the two correct factors of the polynomial:
x2 – X – 42
(x-7)
(x+6)
(x+7)
(x-6)
(x-21)
(x+2)
Answers
Step-by-step explanation:
x² - x - 42
= (x + 6)(x - 7).
Answer:
x-6 is the correct answer for this
When it comes to positive and negative sign if two sign are the same they’re negative right and if they are different they are positive yes or no
Answers
Answer:
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
I hope this was the answer you were looking for - Lily~Senpai :P
what is
equivalent to 15x + 3?
Answers
3(5x+1)
Becauuse 3 time 5 is 15 and 3 time 1 is 3
