Step-by-step explanation:
Let b is breadth and l is length of the cuboid such that,
Length, l = 3b and l = 2h
or
h = l/2
We know that, the volume of a cuboid box is given by :
V = lbh
Put all the values,
[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]
Breadth, b = 16.5/3 = 5.5 cm
Height, h = 16.5/2 = 8.25 cm
Hence, this is the required solution.
I am in need for help please
Answer:
x = 12
Step-by-step explanation:
Exterior angles thm:
8x - 10 + 5x - 12 = 134
13x - 22 = 134
13x = 134 + 22
13x = 156
x = 12
Solve the equation below. Show all your steps
5x−8=17
Answer:
x=5
Step-by-step explanation:
Add 8 on both sides first. Then divide both sides by 5 to isolate the variable.
5x-8=17
add 8 to both sides
5x=25
divide by 5 on both sides
x=5
Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?
Answer:
its b
Step-by-step explanation:
Given the function: f (x) = (3 x + 4) minus (2 minus x) Evaluate for f (5). a. 22 b. 15 c. 16 d. 30 Please select the best answer from the choices provided A B C D
Answer:
A.22 is the answer
Step-by-step explanation:
When it says "f(5)", it is basically saying that what is the y-value if the x-value is 5. To find the y-value, we need to substitute 5 in for the variables. I have provided you with the steps.
The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?
Answer:
32
Step-by-step explanation:
Given
m<P = 4x+12
m<Q = 2x-24
If the sum of P and Q is 180, then;
4x+ 12 + 2x - 24 = 180
4x+2x+12-24 = 180
6x - 12 = 180
6x = 180+12
6x = 192
x = 192/6
x = 32
Hence the value of x is 32
please help with this one
Answer:
1st and 2nd to last
Step-by-step explanation:
Answer:
x< -3 is correct answer...........
A spinner is divided into 10 equal parts and numbered 1-10. Four of the parts are colored blue, four parts are colored red, and two parts are colored green.
What is the probability of spinning a 6? Write your answer as a decimal.
theres a slight chance of spinning a 6 0.06
The line passes through the points (0, 2) and (-2, 2) is parallel to the line:
Answer:
Undefined
Step-by-step explanation:
you can't divide by 0
(-2-0)/(2-2)
Which could be the missing data item for the given set of data if the median of the complete data set is 15?
11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14
A: 16
B: 18
C: 20
D: 11
Answer:
A: 16
Step-by-step explanation:
its in between
Write the missing terms (in the given order of missing):
3x-___+ ____+5y = 5x - y
A. 2x and 4y
B. 4y and 5x
C. 6y and 2x
D. 2x and 6y
C. 6y and 2x
_____________________________
3x - 6y + 2x + 5y =
3x + 2x + 5y - 6y =
( 3 + 2 )x + ( 5 - 6 )y =
5x - y
find the product.
enter your answer in simplest form.
6x2/3 = _=_
I need some help plz
Answer:
B : both containers are 50
Step-by-step explanation:
Since water in container 2 is in higher temp, it will transfer some of its heat to container 1 until both the containers reach same temperature. This is the concept of equilibrium that mother nature abides by.
would it be B or C? help me please :(
Answer:
2x^2
Step-by-step explanation:
2x+x
3x
x(2+1)
2x+x
3x
2x^2(no equivalent to other option)
3x
what is the answer to my problem
ASAP
-WILL MARK BRIANIST
Answer:
part A: 83-8=75
part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!
Step-by-step explanation:
Help me with this below
Answer:
PlayStation = 175
Step-by-step explanation:
X box = x
PlayStation = x+15
X box + PlayStation = 335
x + x+15 = 335
Combine like terms
2x+15 = 335
Subtract 15
2x+15 -15 = 335-15
2x = 320
Divide by 2
2x/2=320/2
x =160
x box =160
PlayStation = x+15 = 160+15= 175
Answer:
Playstation costs 175 pounds
Step-by-step explanation:
335 = 15 + x + x
335 = 15 + 2x
335 - 15 = (15 - 15) + 2x
320 = 2x
320/2 = 2x/2
x = 160
CHECK WORK:
(15 + 160) + 160 = 335
(175) + 160 = 335
335 = 335
The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?
Answer:
54461.33 cubic feet
Step-by-step explanation:
Given data
Height of cylinder= 40 feet
Radius= 20feet
Height of cone= 10 feet
Radius of cone= 20feet
Volume of Cylinder= πr^2h
Volume of Cylinder= 3.142*20^2*40
Volume of Cylinder= 3.142*400*40
Volume of Cylinder= 50272 cubic feet
Volume of Cone= 1/3πr^2h
Volume of Cylinder= 1/3*3.142*20^2*10
Volume of Cylinder= 1/3*3.142*400*10
Volume of Cylinder= 1/3*12568
Volume of Cylinder=4189.33 cubic feet
Hence, the volume of the silo = volume of cylinder+ volume of cone
Volume of silo= 50272+4189.33
Volume of silo=54461.33 cubic feet
Given k > 3 and
( +
2x+2) dx = 10k
show that k3 – 10k2 + ak + b = 0
where a and bare constants to be found.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\displaystyle \int_3^k\left(2x+\frac{6}{x^2}\right)\, dx = 10k, k>3[/tex]
And we want to show that:
[tex]k^3-10k^2+ak+b=0[/tex]
Integrate the definite integral:
[tex]\displaystyle x^2-\frac{6}{x}\Big|_{3}^{k}=10k[/tex]
Evaluate:
[tex]\displaystyle \left(k^2-\frac{6}{k}\right)-((9)-(2))\right)=10k[/tex]
Simplify:
[tex]\displaystyle k^2-\frac{6}{k}-7=10k[/tex]
Multiply both sides by k:
[tex]k^3-6-7k=10k^2[/tex]
Rewrite:
[tex]k^3-10k^2-7k-6=0[/tex]
Hence, a = -7 and b = -6.
Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?
The area of the crust that will cover the top of the pie is 50.24 square inches.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The baking pan is in the shape of a circle.
The diameter of a baking pan = 8 inches
So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]
⇒ [tex]r=\frac{8}{2}[/tex]
⇒ [tex]r=4[/tex]
The area of the crust that will cover the top of the pie is
[tex]A=\pi r^{2}[/tex]
we know that the value of π is 3.14.
On substitute the above values,
⇒ [tex]A=(3.14)(4)^{2}[/tex]
⇒ [tex]A=(3.14)(16)[/tex]
⇒ [tex]A=50.24[/tex]
Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.
Learn more about circles here
https://brainly.com/question/16125353
#SPJ2
The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round your answer to the nearest tenth
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet
Identify the slope of the line
y=-4- 1/6x
What is the answer if you Factor 4x^2-256
Answer:
4(x + 8)(x - 8)
Step-by-step explanation:
We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:
4(x^2 - 64)
Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.
So,
a = x
b = 8
We can substitute:
(a + b)(a - b)
(x + 8)(x - 8)
We can add the 4 from the beginning in to get:
4(x + 8)(x - 8)
Answer:
x = -8 and 8
Step-by-step explanation:
1st we can factor out a 4 so we get
0 = 4(x^2 - 64)
now can either factor it out some more or just solve for x.
if we factor it out more we get
0 = 4(x + 8)(x - 8)
we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.
x = 8, x = -8
what is the local maximum over the interval [-3, 1.5] for the graphed function?
A) 0
B) 56
C) -11.4
D) 2
Answer:
56
Step-by-step explanation:
It's tempting to use the local maximum at the point (2, 0), but x = 2 is outside the interval given in the question!
Answer:
B) 56
Step-by-step explanation:
The topic is about secant tangle anges
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
Find the missing number to make these fractions equal.
2/8 = ?/4
Answer:
?= 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
let the missing number be x
2/8=x/4(do cross multiplication)
8*x=4*2
8x=8
x=8/8
x=1
rite 4 and 5 as a percentage
Answer:
4/5 as a percentage is 80%
if you want to write 4 and 5 as a percentage . . .
You can't do that
PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work
Answer:
10x(2x+1)
Step-by-step explanation:
20x^2+10x
2*10*x*x + 10 *x
Factor out the common terms
10x(2x+1)
CODES Use the following information to solve. A bank gives each new customer a 4-digit code number which allows the new customer to create
their own password. The code number is assigned randomly from the digits 1, 3, 5, and 7, and no digit is repeated.
• What is the probability that the code number will start with 371?
a 1/3
b 1/4
с 1/12
d 1/24
=============================================================
Explanation:
There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.
If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715
We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)
What is the domain of the function
Answer:
third answer is correct
Step-by-step explanation:
Can someone help me do this like the equation?!.
Answer:
36$
Step-by-step explanation: