Answers
Answer:
126 cm^3
462 cm^3
Step-by-step explanation:
The volume of the triangular prism (green) is the area of the base multiplied by the height.
The base is the front surface which is a triangle with base 6 cm and height 7 cm.
The height of the prism is 6 cm.
V = AH
V = (1/2)bhH
V = (1/2)(6 cm)(7 cm)(6 cm)
V = 126 cm^3
The volume of the green triangular prism is 126 cm^3
The total volume of the composite solid is the sum of the two volumes.
Total Volume = 336 cm^3 + 126 cm^3
Total Volume = 462 cm^3
Related Questions
Round 19.432 to the nearest whole
Answers
The nearest whole number is 20.
Answer:
19
Step-by-step explanation:
if the number was 19.5 or later up to 20 then the answer would have been 20
but your number was 19.432 which is less then 19.5 so the your answer is 19.
$5400 at 3.6% compounded continuously for 5 years.
Answers
Answer:
A = $6,464.97
Step-by-step explanation:
Given the principal amount of $5,400, and an interest rate of 3.6% compounded continuously for t = 5 years:
Substitute the given values into the Continuous Compounding Formula:
[tex]A = Pe^{r*t}[/tex]
where:
P = principal = $5,400
e ≈ 2.7183 (irrational number)
r = interest rate = 3.6% or 0.036
t = time in years = 5
[tex]A = Pe^{r*t}[/tex]
[tex]A = 5400e^{(0.036*5)}[/tex]
[tex]A = 5400e^{0.18}[/tex]
A = $6,464.97
Therefore, the amount after compounding continuously for 5 years is $6,464.97.
HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO
Answers
Answer:
-2 3/5, -9/4, 1.2, 7/4
Step-by-step explanation:
First, unmix the mixed numbers.
-9/4 = -2 1/4.
Which is greater?
1/4 vs. 3/5
Answer: 3/5 So...
-2 3/5 would be the least.
Then there would be -2 1/4
Then, it would be 1.2 because 1.2 is smaller than 7/4.
Therefore, this pattern would be the correct answer...
From Least to greatest=
-2 3/5, -9/4, 1.2, 7/4
-kiniwih426
someone plzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
3/5
Step-by-step explanation:
I'm trying to find the explicit form of an equation after performing an integration. I'm a bit rusty.
ln|y| = C - cos(x)
C is an arbitrary constant.
Is it:
y = e^(c-cos(x))
or because it's an arbitrary constant, can it be written:
y = C - e^(cos(x))
Thanks.
Answers
No, it should be written as
[tex]y = Ce^{-\cos x}[/tex]
Provided that y ≠ 0, both solutions
[tex]y = e^{C-\cos(x)}[/tex]
and
[tex]y = Ce^{-\cos(x)}[/tex]
are correct. The other solution you provided,
[tex]y = C - e^{\cos(x)}[/tex]
is not.
The only difference between the "valid" solutions lies in the particular value of the arbitrary constant C.
Suppose y(0) = Y ≠ 0 is given as an initial condition. Then in the first solution,
[tex]Y = e^{C - \cos(0)} \implies \ln|Y| = C - 1 \implies C = \ln|Y| + 1[/tex]
In the second solution,
[tex]Y = C e^{-\cos(0)} \implies Y = Ce^{-1} \implies C = eY[/tex]
But both solutions are the same, since
[tex]y = e^{\ln|Y| + 1 - \cos(x)} = e^{\ln|Y|} e^1 e^{-\cos(x)} = eY e^{-\cos(x)}[/tex]
show the solution 3x+7 ≤5x-9
Answers
1.1 Pull out like factors :
-2x + 2 = -2 • (x - 1)
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
2.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
x = 1
Answer:
[tex]3x + 7 \leqslant 5x - 9 \\ 5x - 3x \leqslant 7 + 9 \\ 2x \leqslant 16 \\ x \leqslant \frac{16}{2} \\ \boxed{x \leqslant 8}[/tex]
If p(x)=2x2-1, find p(-3)
Answers
p(-3) = 2(-3)^2 - 1
p(-3) = 2(9) - 1
p(-3) = 18 - 1
p(-3) = 17
Therefore, p(-3) = 17.
Graph the function h (x) = -3x-1.
Answers
the -1 is where it passes through the y axis (up and down line)
the -3 is the slope, so every 1 space it goes over it goes 3 down
ron goes to a shop to buy some notebooks. the shopkeepers informs him that 2 notebooks would cost $90. can you find the cost of 5 notebooks with the help of unitary method
Answers
Answer: $225
Step-by-step explanation:
Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2
Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225
- Gage Millar, Algebra 2 Tutor
Answer:
$225 = 5 note books.
45 = 1 note book
Step-by-step explanation:
90/2 = $45 EACH
Unitary method means find 1 part first.
Therefore,
1 part = 45
45 x 5 = 225
$225 = 5 note books.
Please assist with step by step
63 divided by 4
Answers
Product of (8.6×10^2)(3×10^2)in scientific notation
Answers
Answer:
in scientific notation = 2.58 × 10⁵
I hope I helped you^_^
not easy help me please
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
In the number line attached in my attachment,
The red line represents point :
[tex] \dfrac{10}{2} [/tex]The blue line represents point :
[tex] \dfrac{ - 9}{2} [/tex]I hope it helps ~
someone please answer!!
Answers
Answer: x=120 degrees
Step-by-step explanation: Since this triangle is equilateral, each of its angles equals 60 degrees. The line that x is on is equal to 180 degrees, so subtracting 60 from 180 will give you 120 degrees for x.
Answer:
x=180°-60°=120°, bc In an equilateral triangle, the angles are equal and equal to 60°
Step-by-step explanation:
HOW IS THE ANSWER 98 PLS HELP ASAP
Answers
Answer:
The answer is 98, here's how:
Step-by-step explanation:
Lets solve the numerator of the fraction first:
-[5.8 - 3(3.2)] =
-[5.8 - 9.6] =
-[-3.8] = 3.8 (Watch out for the double negative)
Now lets solve for the denominator :
(-0.2)² =
(-0.2)(-0.2) = 0.04
Lets simplify the fraction:
[tex]\frac{3.8}{0.04} = 95\\[/tex]
Let's add the 3 to 95:
95 + 3 = 98
-Chetan K
Step-by-step explanation:
[tex] \frac{ -[5.8 - 3(3.2)] }{{( - 0.2)}^{2} } + 3[/tex]
[tex]\frac{ -[5.8 -9.6] }{0.04 } + 3[/tex]
[tex]\frac{ -( - 3.8)}{0.04} + 3[/tex]
[tex]\frac{3.8}{0.04} + 3[/tex]
[tex] = 95 + 3[/tex]
[tex] = 98[/tex]
A wholesale list of a watch is $50. A dealer bought a shipment of watches at a discount of 20% and sold the watches at 10% above the whole sale list price. What was the profit on each watch ?
Answers
Use either direct or synthetic substitution to evaluate the
following:
f(x)=2x3-2x2+2x-8 for f(1).
Answers
2(1)(3)-2(1)(2)+2(1)-8
help plsssssssrjeieiedidj
Answers
Answer:
C
Step-by-step explanation:
when x=8
and when x= -12
What is the answer to this question?
Answers
Answer:
20 3/4
Step-by-step explanation:
21 4/8 or 21.5- 3/4 or .75= 20.75 or 20 3/4
Answer:
look at the photo I have sent
Leila Runs at 12 miles per hour. Find the Number of Miles she can travel if she runes for t hours
Answers
Answer:
y=12t
Step-by-step explanation:
Find the slope of a line parallel to the line y = 7
Answers
Answer:
y = 7 is a horizontal line with slope 0
Any parallel line will also have slope 0
Step-by-step explanation:
deon swam 4 kilometers against the current
Answers
Answer:
DEON is awesome at swimming
Step-by-step explanation:
good job deon
What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
Combine like terms on each side of the equation.
Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
7
Answers
Solve y + 2∕7 < 1∕3.
Question 8 options:
A)
y > 13∕21
B)
y < 13∕21
C)
y < 1∕21
D)
y > –1∕21
Answers
Answer:
the answer is C y<1/21
Step-by-step explanation:
sorry if I did it wrong
Answer:
C) y< 1/21
Step-by-step explanation:
y+ 2/7 < 1/3
Subtract 2/7 from both sides.
y< 1/21
What is the probability of getting a 6 on the first roll, and a number less than five on the second roll
Answers
Answer:
1/9
Step-by-step explanation:
Probability of getting 6 = 1/6
Probability of getting less than 5 = 4/6 = 2/3
1/6 * 2/3 = 1/9
Consider
x - 3, X < 0
3, x >0
The graph of the functions above is shown.
Answers
Answer:
It is true. This is the graph.
Need help on this math problem
Answers
Answer:
the answer is 7 .......
ie .4^7
Answer:
4^7 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
p/2 - 10 = -12 show work
Answers
Answer:
Step-by-step explanation:
have $100 in my bank account. I withdraw 10 dollars every week. If variable x represents number of weeks, write an algebraic expression that represents how much money would be in my bank account after x weeks.
Answers
Answer:
x+10=100
Step-by-step explanation:
(* multiplied by)
5 1/10 x 1/6 pls helppp
Answers
Answer:
51/60
Step-by-step explanation:
First, I'll convert 5 1/10 into an improper fraction to make it easier to work with. I get 51/10. Then, I multiply the two fractions like so:
51/10 * 1/6 = 51/60
You multiply the numerators (the numbers on top) and the denominators (the numbers on the bottom) separately.
So the answer is 51/60.
i don't know how to do math lol
Answers
Answer:
88 I think and if not that then 98 but I'm petty sure it's 88
Step-by-step explanation: