Answer:
60³
Step-by-step explanation:
Hi again.
This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.
The formula for a triangular prism is :
V = 1/2 x b x h x l
Or in full terms :
Volume = 1/2 x Base x Height x Length
So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.
So like last time, lets look at what we are given :
Base = 5
Height = 3
Length = 8
And now we put these numbers into the formula :
Volume = 1/2 x Base x Height x Length
Volume = 1/2 x 5 x 3 x 8
Lets save the 1/2 for last and do the others first.
So we can do 5 x 3 and get 15.
Then 15 x 8 and we get 120.
Now the equation is literally :
Volume = 1/2 x 120
(This is the same as 120 / 2 just in multiplication terms)
So lets do this :
120 / 2
=
60
So now we have your answer :
Volume = 60³
(Don't forget the little 3)
Again, I hope this helps!
Any questions or concerns please comment or message me ofc :)
HELP ASAP! I need help with 11 and 12 please!! Thank you!
Answer:
Q11 part 4 is the correct option
Q12 part 4 is also the correct option
Workers at a quarry are removing rock at a daily rate of 0.1%. There are 3.2 tons of rock when the work begins.
Which function can be used to find the number of tons of rock left at the end of d days?
Answer:
c
Step-by-step explanation:
WILL MARK BRAINLYIST
Answer:
PK=15
RJ=9
Step-by-step explanation:
PK and RJ are angle bisector because they also bisect their side lengths.
QK=2(PQ)=10
PK=5+10=15
QJ=2(QR)=6
RJ=6+3=9
RJ=9
Decrease £14120 by 4% Give your answer rounded to 2 DP.
Answer:
(14120/100)*96 = £13,555.20
Step-by-step explanation:
Answer:
£13,555.20
Step-by-step explanation:
14120*4=56480
56480+14120=70,600
then 70,600+20
on a cauculaiter it will give you 70,620 but it is 70,600.20
then 14,1000.50-1,555.30=13,55.20
hope it is helpfull
⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
What is the integer?
Sally lost 40 dimes because she did not put the money in her piggy bank.
Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
The line plot above shows the height of the baby giraffes at the zoo. What is the difference in height (in inches) between the shortest and the tallest baby giraffes?
Answer:
3.5 inches
Step-by-step explanation:
Height of tallest baby giraffe = 42.75 inches
Height of shortest baby giraffe = 39.25 inches
Difference in height between the tallest and the shortest baby giraffes = 42.75 - 39.25 = 3.5 inches
A body of mass 2 kg moves in a (counterclockwise) circular path of radius 3 meters, making one revolution every 5 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
A. Compute the centripetal force acting on the body.
B. Compute the magnitude of that force.
Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
if x^2/3=2 what is x^2
Diane is starting a business selling handmade necklaces. She has decided to invest an initial
amount of $203 for advertising, and materials cost $2 for each necklace she makes. Diane
can sell her creations for $31 per necklace. Once she makes and sells a certain number of
necklaces, she will break even, with identical expenses and sales. What would the total
expenses and sales be then? How many necklaces would that take?
What is the b term of the product of (x – 4) and (2x + 3) ?
Answer:
the "b" term is the term "-5 x" in the final quadratic expression
Step-by-step explanation:
Normally the "b" is the "linear term" in a quadratic equation.
So, perform the product of binomials and combine like terms to identify the final "b" term of the quadratic expression you get:
[tex](x-4)*(2x+3)=2x^2 +3x-8x-12=2x^2-5x-12[/tex]
Therefore the "b" term is the term "-5 x" in the final quadratic expression.
Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs
Answer:
21 minutes
Step-by-step explanation:
35 ÷ 10 = 3.5
3.5 × 4 = 14
35 - 14 = 21
=21
three positive numbers form an arithmetic progression with d=8 If 7 is subtracted from the first number, 3 is subtracted from the second number, and the third numbers is first decreased by 1 and then the result is multiplied by 3, the resulting numbers form a geometric progression find the original three numbers
Answer:
10, 18, 26
Step-by-step explanation:
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
4.0681 to the nearest thousand
answer thismath......
Answer:
you can travel 150 miles
Step-by-step explanation:
Answer:
570 miles
Step-by-step explanation:
325.5 - 240 = 85.5
85.5 / 0.15 = 570
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles o. 20 gallons of gas. How far could you drive on 70 gallons of gas.
Answer:
1,610 miles
Step-by-step explanation:
If you do 460/20 you get the gas mileage. The gas mileage is 23. If you do 23*70 you get 1610 miles out of 70 gallons of gas. (Double-check to make sure I'm correct)
If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?
Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...
Soo if you had $4 Million you'd pay it automatically.
Can someone help me?
5) Graph the following inequality. (3 points) 6x-2y>8
Answer:
Step-by-step explanation:
In the figure below, if sin x= 5/13, what are cos x and tan x? PLZ HELP FOR THE LOVE OF GOD AND WHTS GOOD IN THE WORLD HELPPP
Answer:
Step-by-step explanation:
cos²x = 1-sin²x = 1-(5/13)² = 144/169
cosx = √(144/169) = 12/13
tanx = sinx/cosx = (5/13)/(12/13) = (5/13)×(13/12) = 5/12
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
Hamdan scored 8 out of 10 on his history quiz. Which is his score as a fraction in simplest form?
2 over 5
4 over 5
6 over 10
Answer:
4 over 5
Step-by-step explanation:
The simplist form of 8/10 is 4/5.
Answer: 8/10 is a 4/5
Step-by-step explanation:
Select the numbers that have a factor of 5. Mark all that apply.
D
2
A 15
5
3.
(В)
E
50
(F) 31
© 45
Answer:
a number ending in 0 or 5 has a factor of 5
Step-by-step explanation:
5 is a factor of
5, 10, 15, 20, 25...
any number that ends in 0 or 5 would qualify
Please help ! 1. Kenken puzzle 3x3
Answer:
Step-by-step explanation:
John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?
Answer:
John takes 20 steps in 10 yards.
Step-by-step explanation:
1 yard = 36 inches
10 yards = 36 x 10 = 360 inches
Since John's step covers 18 inches, divide 360 by 18.
360/18 = 20 steps
Please help anyone im begging
Answer:
A- Root 16
B- Root 27
C- Root 32
Step-by-step explanation:
So A is root 16 because root 16 is equal to 4.
B is root 27
And C is root 32
A company is expanding its building area from 13,500 square feet to 19,440 square feet. What is the percentage increase of the area of the building space?
A.
4.4%
B.
44%
C.
59.4%
D.
56%
It costs $14.50 to rent a canoe and $6 to use the canoe for an hour. You have $32.50. Write an equation that represents the number h of hours you can rent the canoe. An equation is BLANK =32.50.
Answer:
The answer would be, you have 3 hours to use the canoe