a rectangular prism has a height of 12 centimetres and a square base with sides measuring 5 centimetres, a pyramid with the same base and half the height of the prism is place inside the prism, the volume of the space outside the pyramid but inside the prism is?
Description:
The base of the prism is a square with sides measuring 5 cm, so its area is
(5cm)*(5cm)= 25 square cm
So the volume of the prism, in cubic cm, is
25*12=300
The volume of a pyramid is (1/3)(area of base)(height) .
It is 1/3 of the volume of a rectangular prism with the same base and height.
So the volume of the pyramid in this problem, in cubic cm, is
1/3*300=100
So the volume of the space outside the pyramid but inside the prism, in cubic cm, is
300-100= 200
Answer: =200
Please mark brainliest
Hope this helps.
Please help me with my math question!!!
Answer:y=-1/2x+3
Step-by-step explanation:
y=-1/2x+3
Bc any slope that is the same as the line is parallel.
So if you count, 1 up and two to the left.
(c) Ali sold tuna at the rate of MVR180 per kg and Salmon at the rate of 250 per kg.
Find the ratio of the cost of tuna.
Answer: 18:25
Step-by-step explanation:
Tuna : Salmon
180 : 250
18:25
An ice cream shop sold 48 vanilla milkshakes in a day , which was 40% of the total number of milkshakes sold that day. What was the total number of milkshakes that the ice cream shop sold that day.
Answer:
They sold 120 milkshakes.
Step-by-step explanation:
the standard form of linear equation is Ax + By = C. if b=0 and a and C are positive, which best describes the graph of this equation
Answer:
It is a vertical line
Step-by-step explanation:
the equation will be in the form of Ax=C hence we can make X the subject of the formula giving
[tex]x = \frac{ a}{c} [/tex]
Let ABCD and EFGH be two quadriaterals such that ABCD ~ EFGH If AB= 15cm, EF =18cm and the permeter of ABCD is 40cm, find the permeter of EFGH.
Answer:
52
Step-by-step explanation:
If ABCD ~ EFGH
AND AB = 15 and EF = 18 and ABCD = 40
then
each side of ABCD should be 3cm less then side of EFGH
AB + BC + CD + DA = 40
AB + 3 + BC + 3 + CD +3 + DA + 3= P(EFGH)
40+12 = 52 = P(EFGH)
Twins Lidia and Henry collected snow globes. When they left for college, they split the collection, such that Lidia got 75% of the snow globes. If Lidia got 460 more snow globes than did Henry, how many snow globes did Henry get?
Answer:
230
Step-by-step explanation:
Okay, so if Lidia got 75% means that Henry got 25%, right?
Then Lidia got 50% more than Henry did. So that 460 = 50%
So Henry got 25% which is 460/2 = 230 snow globes
PC = PD, then (PA)(PC) = (PB) (___) a.PA b.PC c.PB d.PD
Answer:
PD
Step-by-step explanation:
The answer is PD, just did this one. :)
Answer:
answer is d, pd
Step-by-step explanation:
A cylindrical tin full of engine oil had a diameter of 12cm and a height of 14cm the oil is poured into a rectangular tin 16cm long and 11cm wide.what is the dept of the oil in the tin
Answer:
The depth of oil in the tin is 9cm
Step-by-step explanation:
The first thing we need to do here is to calculate the volume of the cylindrical tin.
Mathematically, that would be;
V = pi * r^2 * h
now, r = d/2 = 12/2 = 6cm
h = 14 cm
Thus the volume would be;
V = 22/7 * 14 * 6^2 = 1,584 cm^3
Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.
Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x
So the depth x would be;
176x = 1584
x = 1584/176 = 9 cm
Find the area of the shape below, giving your answer to 1 decimal place.
pls help ;(
Answer:
A1= 10×15=150
A2= 5²×3.14/2=39.3
so the A total is 150+39.3=189.3
Use the FOIL method to find the product below. (X-6)(x^2+4x)
Answer:
x^3−2x^2−24x
Step-by-step explanation:
Answer:
x^3 - 2x^2 - 24
Step-by-step explanation:
FOIL: first, outer, inner, last
This becomes
x^3 + 4x^2 - 6x^2 -24x = x^3 - 2x^2 - 24
The amount of cookies at lunch can be represented by an exponential decay equation. If there are 100 cookies at the beginning of lunch and after 15 minutes, there are only 15 left, what is the rate at which students ate the cookies?
Answer: 0.12
Step-by-step explanation:
An exponential decay can be written as:
C(t) = A*r^t
Where A is the initial amount of cookies, A = 100
r is the rate that we are searching.
t is time in minutes, we know that at t= 0m
C(0) = 100*r^0 = 100
so at t = 0m we have 100 cookies.
now, we know that at t = 15m we have.
C(15s) = 100*r^(15m) = 15
r^15 = 15/100 = 0.15
r = (0.15)^(1/15) = 0.88
So the rate at which the cookies decrease is 0.88, and 1 - r = 0.12 is the rate at which the kids eat the cookies (meaning that the students ate 12% of the cookies per minute), so the answer is 0.12
For what value of x is the equations 2^2x+7 = 2^15 true?
Answer:
Step-by-step explanation:
To find the value of x, solve the equation. Do this by rearranging the equation to make x the subject.
Answer:
x=32761 /4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x+7=32768
Step 2: Subtract 7 from both sides.
4x+7−7=32768−7
4x=32761
Step 3: Divide both sides by 4.
Anyone know this ? I need help please:(((
Answer:
Step-by-step explanation:
This models the standard form of an exponential equation:
[tex]y=a(b)^x[/tex], where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.
Evaluate 19-11+(-17)+(-19)+11
answer 19-11+(-17)+(-19)+11= -17
Step-by-step explanation:
x=? i’m super lost please help!
Anybody know how to do this ?
Answer:
The answer is though, 8
Step-by-step explanation:
10/ x Is equal to 15/12
so it’s 8
hope this helps :))
Which of the following list all x - intercepts of the graph of the equation y = x^3 - 4x ?
Step-by-step explanation:
x³ - 4x = 0
x (x² - 4) = 0
x (x + 2) (x - 2) = 0
Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)
A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm3, what is the mass of the pipe to the nearest gram?
Answer:
465g
Step-by-step explanation:
I’m rly stuck on this , how do u do this ?
Answer:
16x+5
Step-by-step explanation:
First, we have to distribute.
2(5x+4)+3(2x-1)
2(5x)+2(4)+3(2x)+3(-1)
10x+8+6x-3
Combine Like Terms
10+6x+8-3
16x+5
What is the vertex of the graph of f(x) = |x + 3| + 7? (3, 7) (7, 3) (–3, 7) (7, –3)
Answer:
(-3,7)
Step-by-step explanation:
Answer:
(-3,7)
Step-by-step explanation:
An expression is given: 9x-7y-6x Write an equivalent expression by combining like terms.
Answer:
[tex]3x-7y[/tex]
Step-by-step explanation:
[tex]9x-7y-6x[/tex]
[tex]9x+-7y+-6x[/tex]
[tex]9x+-6x+-7y[/tex]
[tex]3x+-7y[/tex]
Answer:
3x-7y
Step-by-step explanation:
9x and 6x are like terms
We subtract 6x from 9x because it is a negative
9x-6x= 3x
7y is also negative that's why the answer is 9x-7y
But you can also do -7y + 3x
It doesn't matter it's still the same
Hope this helps!
x፡y =1:2and y:z =3:2 then what is the value of x and y ?
Answer:
y = 2x or x = 1/2y or if you would like numerical values then x = 3, y = 6 and z=4
Step-by-step explanation:
x : y = 1 : 2
y : z = 3 : 2
If x : y = 1 : 2 then we know that 1y = 2x ∴ y = 2x or x = 1/2y
If y : z = 3 : 2 then we know that 3z = 2y ∴ z = 2/3y
Answer:
I think y is 2 as well as 3
HELP PLEASE GUYS I WILL MARK YOU AS BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Classify this triangle by its angles and by its side lengths.
Answer: Isosceles Triangle
Step-by-step explanation:
Looking at this problem, we can easily say this this is a right triangle, by looking at the labeled angle. This questions asks for you to look at the angles and side lengths. Because the sides are both equal in length, this is an isosceles triangle.
1.25 x 8 - 1.5
please help me
Answer:
The answer is, 8.5
Step-by-step explanation:
1.25×8=10
10-1.5=8.5
please help for brainliest answer
What is the value in cents of 10 quarters and 2 dimes
Answer:
250+20 = 270 cents or $2.70
Step-by-step explanation:
Each quarter is 25 cents
Each dime is 10 cents
GIVEME BRAINLIESTwill mark brainliest!! factor the following equation: g(x)=2x²-2x-24
Answer:
g(x)=2(x-4)(x+3)
Step-by-step explanation:
Answer:
Hello,
g(x) = 2 (x + 3) (x - 4)
Step-by-step explanation:
g(x) = 2x²- 2x - 24
⇔ g(x) = 2 (x² - x - 12)
⇔ g(x) = 2 ((x - 1/2)² - (1/2)² - 12)
⇔ g(x) = 2 ((x - 1/2)² - 12.25)
⇔ g(x) = 2 ((x - 1/2)² - 3.5²)
⇔ g(x) = 2 ((x - 1/2)² - (7/2)²)
⇔ g(x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)
⇔ g(x) = 2 (x + 3) (x - 4)
GUYS, PLEASE HELP!!! THIS IS REALLY NEEDED!
The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
What is Scientific notation
Answer:
Scientific notation simply refers to the process of expressing long numbers in decimal.
Answer:
Step-by-step explanation
Scientific notation is a way of writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers. A number that is written in scientific notation has several properties that make it very useful to local scientists. It makes very large numbers into smaller numbers using decimals and exponents.
