Answers
Answer:
704
Step-by-step explanation:
We need to find the volume of pyramid and cube and plus.
volume of pyramid
l-Base length
w-Base width
h-Pyramid height
Vp==lwh /3=8·8·9 /3=192
Volume of pyramid and cube
a-Edge
Va=a³=8³=512
V=Va+Vp=512+192=704
Related Questions
which value for s will make this equation true? s(11-s)=24
answer choices:
8
4
6
5
Answers
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
minimum surface area? Calculate the minimum surface area.
Answers
Answer:
The dimensions that give the minimum surface area are:
Length = 14cm
width = 14cm
height = 14cm
And the minimum surface is:
S = 1,176 cm^2
Step-by-step explanation:
A regular rectangular prism has the measures: length L, width W and height H.
The volume of this prism is:
V = L*W*H
The surface of this prism is:
S = 2*(L*W + H*L + H*W)
If the base of the prism is a square, then we have L = W
Then the equations become:
V = L*L*H = L^2*H
S = 2*(L^2 + 2*H*L)
We know that the volume of the figure is 2744 cm^3
Then:
V = 2744 cm^3 = H*(L^2)
In this equation, we can isolate H.
H = (2744 cm^3)/(L^2)
Now we can replace this on the surface equation:
S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))
S = 2*L^2 + 4(2744 cm^3)/L
Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.
S' = 2*(2*L) - 4*(2744 cm^3)/L^2
This is equal to zero when:
0 = 2*(2*L) - 4*(2744 cm^3)/L^2
0 = 4*L*L^2 - 4*(2744 cm^3)
4*(2744 cm^3) = 4*L^3
2744 cm^3 = L^3
∛(2744 cm^3) = L = 14cm
Then the length of the base that minimizes the surface is L = 14.
Then we have:
H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm
Then the surface is:
S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2
someone please help me solve this geometry equation, if you do it with work i will give you the 35 points and brainliest
Answers
9514 1404 393
Answer:
A. 201 cm³
Step-by-step explanation:
To find the volume, we need to know the length of the prism and the area of the triangular base.
We can find the area of the triangular base a couple of ways. Since we are given some angles, the convenient way will be to make use of those angles.
The triangular base is isosceles. For our purpose, we assume that means AB = BC. If we define point M as the midpoint of AC, then triangle BMC is a right triangle with a base of (9 cm/2) = 4.5 cm.
The side BC can be found from the trig relation ...
cos(∠BCA) = CM/BC
BC = CM/cos(∠BCA) = (4.5 cm)/cos(50°) ≈ 7.00
Then the area of the end triangle ABC is ...
base area = (1/2)(AC)(BC)sin(50°)
base area = (1/2)(9 cm)(7 cm)sin(50°) ≈ 24.133 cm²
__
The length CF can be found from the relation ...
tan(40°) = EF/CF
CF = EF/tan(40°) = (7.00 cm)/tan(40°) ≈ 8.343 cm
Then the volume of the prism is ...
V = Bh
V = (24.133 cm²)(8.343 cm) ≈ 201 cm³
The volume of this isosceles triangular prism is about 201 cm³.
Answer:
A. 201 cm³ is the answer.
Step-by-step explanation:
#OrganizeLearningWhat is the PE of an object that is 15kg that is 5.0 M above the ground?
Answers
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
In the figure shown
A) 4
B)12
C)26
D)34
HELP ASAP WILL MAKE BRIANLIEST
Answers
Answer:
C
Step-by-step explanation:
x+8+2x+4=90
3x+12=90
3x=78
x=26
what is perimeter? what is area?
Answers
(2x + 5y -z)+(-6x - 4y +7z)
Answers
-4x + y+ 6z
Step-by-step explanation: image below
what percent of 71 is 177.5?
Answers
Answer:
250%
Step-by-step explanation:
177.5 / 71 = 2.5
2.5 x 100 = 250%
Divide the number (177.5) by the number you're trying to find the percent of (71) and multiply by 100 to find the percentage.
What is 72 out of 96?
Answers
Answer:
75%
Step-by-step explanation:
72 is 75% of 96
i need help asap please
Answers
Answer:
1. 1570
2. can't see properly
3. can't see properly
4. 392.5
5. 615.4
6. 6049
7. not clear can't see
8. 1589
9.:1570
Pretty pwease help are im gonna get hit oml I just wanna gts
Clark deposited $3600 for three years into a money market account. At the end of three years he had earned $432 in interest. What rate of interest did he receive? (See Example 1 from your notes.)
a
3.8%
b
4%
c
4.32%
d
0.04%
Answers
Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.
Answers
Answer:
7/40
Step-by-step explanation:
possible outcomes = 10+11+12+7 = 40
favourable outcome = 7
theoretical probability = favourable outcomes/possible outcomes
therefore, 7/40 is the answer
Help!!! I will give brainiest
Answers
Answer:
48
Step-by-step explanation:
First, get a total of the ration so 3+4=7
Then 112/7=16
So there is 16 times he puts 3 ounces of red and 4 ounces of blue.
3x16 = 48 (red)
4x16 = 64 (blue)
4+48=112
plsssss helppp sooonnnn
Answers
Answer:
4 and -6≤x<0
Step-by-step explanation:
6. 4
7. -6≤x<0
−4x−6=−5y+2
Write a formula for g(x), in terms of x.
Please
Answers
HELP ME PLS PLS PLS OH PLS
Answers
Answer:
49 - 49 = 0
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Which point is at 1 on the number line?
Answers
Answer:
c
Step-by-step explanation:
HELP!
The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answers
Answer:
length= 6x
width= x
AREA= 135
solution
AREA = length times width
135 = 6x multiplied by x
135=6x^2
x^2 as subject of formula
x^2=135/6
x^2=22.5
square root both sides
x=4.74
width = 4.74
Answer:
9
Step-by-step explanation:
can anyone help me and place them in their correct spot?
Answers
Answer:
(9^2) --- Because 9*9 = 81
(9)
you got this one right (2x-8)
X= -8
an equation is shown. x + 3 = 8.5 what is the solution to the equation
Answers
Answer:
mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c
Step-by-step explanation:
nbsnsmsmlslakwj
HELP PLEASE:(
Determine if the triangles are congruent by using HL?
Answers
Answer:
whats hl
Step-by-step explanation:
Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.
Answers
Answer:
around 5.5 inches
Step-by-step explanation:
34.48 = 2rπ
34.48/π = 2r = around 11
r = 11/2
The radius of the circle is equal to 5.49 inches.
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
here, we have,
Given here:
Circumference as 34.48 inches and π=3.14
Now circumference of the circle is given by
2πr=34.48
r=34.48/2×3.14
r=5.49 inches
Hence, The radius of the circle is equal to 5.49 inches.
Learn more about circumference here:
brainly.com/question/14200825
#SPJ2
Solve the system of linear equations by substitution.
2-y= 5
x + 3y = 9
The solution is (OO).
Answers
Answer:
x = 13, y = -3
Step-by-step explanation:
7th grade math unit 5 class review#1 equations and inequalities
Answers
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answers
Answer:
P(12, 5) = 95040
P(8,8) = 40320
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answers
Answer:
30%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
P(9) = 1/4
P(9) % = 100/4 = 25%
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
7, 13, 16
Answers
Answer:
This is an Acute triangle because all 3 angles are less than 90
Choose equal less or greater
Answers
Answer:
C is greater
D is less
Step-by-step explanation:
What is the inverse of the function
f(x)
19
13?
OA-110) =
319
OB. 5-1,5) =
19
T
319
Oc. 9-17)
OD. 1-16x) = leven
Answers
Answer:
A is correct ..............
If LADC measures 61°, what does ZABC measure?
А
С
B
D
Answers
Answer:
122
Step-by-step explanation:
61 x 2 = 122
CAN YHU MARK ME BRAINLISTThe measurement of angle ABC is 122°.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,(h, k) is the center of a circle, "r" is the radius of the circle.
Given, a figure of the circle that gives the center of the circle is B.
Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.
Since both angles, ∠ABC and ∠ADC are made by the same arc AC.
Thus,
The angle made on the center = 2 * the angle made on the circumference,
The angle made on centre = 2 * 61
The angle made on center = 122°
Therefore, The measurement of angle ABC is 122°.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ7