Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V1) and it is calculated using;
[tex]V_1 = l * w * h[/tex]
[tex]V_1 = lw h[/tex]
Since the pyramid has the same base area and height as the prism, the its dimension would be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V2) and it is calculated using;
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
So, we have:
[tex]V_1 = lw h[/tex]
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
Substitute lwh for V1 in the second equation
[tex]V_2 = \frac{1}{3}V_1[/tex]
Multiply both sides by 3
[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]
[tex]3 * V_2 = V_1[/tex]
Reorder
[tex]V_1 = 3 * V_2[/tex]
[tex]V_1 = 3 V_2[/tex]
Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
14.3
Step-by-step explanation:
Remark
Make a rough sketch of the triangle.
Make F the right angle
Make <D = 66
E is the other angle.
Givens
EF = 32
<F = 90
<D = 66
Equation
Tan(D) = EF/FD
Solution
Tan(66) = 32/FD Multiply both sides by FD
FD*Tan(66) = 32
Tan(66) = 2.246
2.246 * FD = 32 Divide by 2.2246
FD = 32/2.246
FD = 14.25
FD = 14.3
HELPP ASAP OR I WILL FAIL PLEASE
Step-by-step explanation:
The given equation is :
[tex]\dfrac{14+10x}{12}=-3[/tex]
Cross multiply,
[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]
This equation will have only one solution.
We can check the solution as follows :
Put x = -5 in LHS of the the given equation.
[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]
= RHS
Hence, this is the required solution.
PLEASE HELP !!!!!!!!!!!!!!! idk if this is correct or not !!!!!!! WILL MARK BRIANLIEST !!!!
Answer: It should have been correct.
Step-by-step explanation:
The sum of any two number is 21and the sum of their squares is 261.find the numbers.
Answer:
The two numbers are 6 and 15.
Step-by-step explanation:
[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]
x=6 and x=15
What is pm ⋅ pn equal to?
pm − n
pm + n
pm ⋅ n
pm ÷ n
Answer: pm • pn = p(m • n)
Step-by-step explanation:
PLEASEEEEEEE HELPPPPPPPP!!
Answer:
Step-by-step explanation:
hi
2(3v-5)=2(v-11)-4 can someone help me out ?
Answer:
v = -4
Step-by-step explanation:
2(3v - 5) = 2(v - 11) - 4
6v - 10 = 2v - 22 - 4
+10 +10
6v = 2v -12 - 4
-2v -2v
4v = -16
divide both sides by 4
v = -4
Hope this helps!!
The value of v = - 4.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
We have to find out the value of the variable v.
What is the solution of a equation in one variable?The solution of an equation is the value of variable for which the left hand side is equal to right hand side.
We have the following equation -
2(3v - 5) = 2(v - 11) - 4
2 x 3v - 2 x 5 = 2v - 2 x 11 - 4
6v - 10 = 2v - 22 - 4
6v - 10 = 2v - 26
6v - 2v = - 26 + 10
4v = -16
v = - 4
Hence, the value of v = - 4.
To solve more questions on finding unknown variable, visit the link below-
https://brainly.com/question/13482978
#SPJ5
Plsss help meeee :))
Answer:
i think 6(k)^2 ?
Step-by-step explanation:
Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The ratio of red beads to yellow beads is 2:3 The ratio of yellow beads to blue beads is 5:4 Work out what fraction of the beads are red.
Answer:
[tex]Red = \frac{10}{37}[/tex]
Step-by-step explanation:
Given
[tex]Red:Yellow = 2 : 3[/tex]
[tex]Yellow: Blue = 5 : 4[/tex]
Required
Determine the fraction of Red
First, we need to link the given ratios.
Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios
Multiply this ratio by 5
[tex]Red:Yellow = 2 : 3[/tex]
This becomes
[tex]Red:Yellow = 10 :15[/tex]
Similarly, multiply this ratio by 3
[tex]Yellow: Blue = 5 : 4[/tex]
This becomes
[tex]Yellow:Blue =15:12[/tex]
At this point, we have:
[tex]Red:Yellow = 10 :15[/tex] and [tex]Yellow:Blue =15:12[/tex]
Combine
[tex]Red:Yellow:Blue = 10:15:12[/tex]
The fraction is then calculated as:
[tex]Red = \frac{Red}{Red +Yellow + Blue}[/tex]
This gives
[tex]Red = \frac{10}{10+15+12}[/tex]
[tex]Red = \frac{10}{37}[/tex]
The circumference of a circle is 30 centimeters. What is the approximate diameter of a circle
Answer:
the answer is: 9.55cm.
Answer:
10cm
Step-by-step explanation:
9.55 is the same thing , but rounded its 10
What is the value of the Square Root of 625?
Answer:
25
Step-by-step explanation:
By prime factorisation, we get:
5 | 625
5 | 125
5 | 25
5 | 5
| 1
. So the prime factors are:
625 = 5 x 5 x 5 x 5
625 = 25 x 25
√625 = 25
hey guys I really need help and it also asks to give my answer as a decimal!
Answer:
(1,5) is your answer
Step-by-step explanation:
You would have to divide the
2 and 10 by 2 and you would get (1,5)
Hope that help!Have a GREAT day!!
And Brainiest is needed!
Dr. Stevens mixed 10.357 grams of chemical A, 12.062 grams of chemical B, and 7.506 grams of chemical C to make 5 doses of medicine. a. About how much medicine in grams? Estimate the amount of each by rounding to the nearest tenth of a gram before finding the sum. Show your thinking. b. Find the exact amount of medicine mixed by Dr. Stevens. c. What is the difference between the exact amount and the estimated amount of medicine? d. How many grams are in one dose of medicine? Explain your strategy for solving.
Answer:
A. 29.93 grams
B. 29.925 grams
C. 0.005 grams
D. 5.985 grams per dose
Step-by-step explanation:
Chemical A = 10.357 grams
Chemical B = 12.062 grams
Chemical C = 7.506 grams
Number of doses of drugs = 5
A. About how much medicine in grams
Round each chemical to the nearest tenth
Chemical A = 10.36 grams
Chemical B = 12.06 grams
Chemical C = 7.51 grams
Total medicine in grams = chemical A + chemical B + chemical C
= 10.36 + 12.06 + 7.51
= 29.93 grams
B. Find the exact amount of medicine mixed by Dr. Stevens.
Total medicine in grams = chemical A + chemical B + chemical C
= 10.357 + 12.062 + 7.506
= 29.925 grams
C. What is the difference between the exact amount and the estimated amount of medicine
Difference = Estimated amount - Exact amount
= 29.93 grams - 29.925 grams
= 0.005 grams
D. How many grams are in one dose of medicine?
Grams in a dose = exact amount of chemicals / 5 doses
= 29.925 grams / 5
= 5.985 grams per dose
Approximately 5.99 grams per dose
What is 40% of 160???
Answer:
64
Step-by-step explanation:
What is the first step in solving a proportion?
A - Cross multiply
B - Divide
Answer:
a
Step-by-step explanation:
1.cross multiplication
MARK ME BRAINELIST
How many different ways can you write a ratio?
Answer:
3 different ways
Step-by-step explanation:
Answer:
3 different ways
Step-by-step explanation:
hope this helps
example of the diffrent way to write a ratio :
5 to 10
5 : 10
[tex]\frac{5}{10}[/tex]
Which three-dimensional shape is created when the rectangle is rotated around axis r?
Answer: rectangular prism
Step-by-step explanation:
how many edges does a rectangle have
Rectangle have four edges.
PLS HELP im in a timededeedd teststs
Which is the graph of g(x) = ⌈x + 3⌉?
What is 15/20 simplest form
Answer:
the simplest form of 15/20 is 3/4
It takes about 14 person-hours of labor to break up a driveway and clear away the rubble. It takes about 8 person-hours of labor to pour and smooth concrete for the new driveway.
Answer: 22 person-hours
Step-by-step explanation:
It takes 14 hours to break up the driveway and then to clear away the rubble.
Then it takes 8 hours to pour the concrete and smooth it.
Total time it will take to break up a driveway, clear away the rubble, pour the concrete, and smooth the concrete will therefore be;
= 14 + 8
= 22 person-hours
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes, phone companies, are only allowed to charge for the amount of data you use
Step-by-step explanation:
Owen is signing up for a gym membership with a one-time fee to join and then a
monthly fee to remain a member. The one-time fee to join the gym is $100 and the
total cost of membership, including the joining fee, would be $200 for 2 months.
Write an equation for C, in terms of t, representing the total cost of the gym
membership over t months.
maybe a few more lol
Answer:
Thanks, check out my music please. Its Colter Wall on yt
Step-by-step explanation:
Answer:
thx for the 50 points
help (S.O.S) 10 points
6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a system of equations and solve to find out the cost for each pound of apples and each pound of oranges.
Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back
Answer: 1,120 frogs
Step-by-step explanation:
If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;
= 180 - 12
= 168 frogs
168 frogs out of every 180 do not have spots. Out of 1,200 that would be;
= 168/180 * 1,200
= 1,120 frogs
what is the measure of angle A in the triangle
Let u = (1,5), v = (-3, 3), and w = (2, 3). What is the direction angle of 4w - (2u + v)?
O= 59.0°
O = 173.7°
O=276.3°
O=353.7°
Answer:
D - 353.7
Step-by-step explanation:
Edge 2020
Answer:
option d
Step-by-step explanation:
edge 2023
what is 3(5x-6)+2(x+8)?
A. 13x - 2
B. 13x+2
C. 17x+2
D. 17x-2
PLEASE PROVIDE A EXPLANATION WHY!! (I’m stuck on this question so I’m trying to figure out how to get the answer).
ASAP!
Answer:
I believe it's D. 17x-2
Answer:
D
Step-by-step explanation:
3(5x-6)+2(x+8)
=15x-18+2x+16
=15x+2x-18+16
=17x-2