Answer:
480 in^3
Step-by-step explanation:
If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.
Larger figure: 8 times 10 times 5
80 times 5=400
Smaller figure: 5 times 4 times 4
20 times 4=80
400 plus 80 equals 480 in^3
Hope I helped :)
please help me with this
Answer:
[tex]r^{6}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{r^{9} }{r^{3} }[/tex] = [tex]r^{(9-3)}[/tex] = [tex]r^{6}[/tex]
A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select the expression that describes the volume of the cylinder that is not occupied by the sphere.
Answer:
134.04 cubic units
Step-by-step explanation:
Step 1
Find the Volume of the Sphere
Formula = 4/3πr³
r= radius = 4
Hence,
Volume = 4/3 × π × 4³
= 268.08 cubic units
Step 2
Find the Volume of the cylinder
Formula = πr²h
r = radius = 4
h = Height = Diameter of the sphere
Radius of a sphere = 4
Diameter = Height of cylinder = 2 × r = 2 × 4 = 8
Hence: π × 4² × 8
= 402.12 cubic units
Step 3
The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere
= 402.12 cubic units - 268.08 cubic units
= 134.04 cubic units
The expression that describes the volume of the cylinder that is not occupied by the sphere is 134.04 cubic units
We have given radius of sphere is 4
What is the formula for volume of the Sphere?[tex]V= 4/3\pi r^3[/tex]
r= radius
We have given that r=4
[tex]Volume = 4/3 \times \pi \times 4^3[/tex]
V= 268.08 cubic units
What is the formula for volume of the cylinder?[tex]Formula = \pi r^2h[/tex]
r = radius = 4
h = Height = Diameter of the sphere
Radius of a sphere = 4
Diameter = Height of cylinder
= 2 × r
= 2 × 4
= 8
Therefore we get
[tex]V=\pi \times 4^2 \times 8[/tex]
V= 402.12 cubic units
The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere
= 402.12 cubic units - 268.08 cubic units
= 134.04 cubic units
Therefore the expression that describes the volume of the cylinder that is not occupied by the sphere is
(402.12 - 268.08) cubic units.
To learn more about the volume visit:
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Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
C = 32π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 16 = 32π units
At what percent rate of compound interest p.a will the compound interest on rs343000be rs169000 in 3 years
Answer:
The money was invested at an interest of 14.28% per year.
Step-by-step explanation:
To determine at what percent rate of compound interest per year will the compound interest on $ 343000 be $ 169000 in 3 years, the following calculation must be performed:
343,000 x (1 + X / 1) ^ 3x1 = 343000 + 169000
343,000 x 1 + X ^ 3 = 512,000
1 + X ^ 3 = 512,000 / 343,000
1 + X ^ 3 = 1.4927
1 + 0.14286 ^ 3 = 1.4927
1.4927 = 1.4927
X = 0.14286 x 100 = 14.28%
Therefore, the money was invested at an interest of 14.28% per year.
Will give BRAINLIST,
the bottom one... i think
Answer:
∠ 1 = 53°, ∠ 2 = 37°
Step-by-step explanation:
let ∠ 2 be x then ∠ 1 = x + 16
Complementary angles sum to 90° , then
x + 16 + x = 90
2x + 16 = 90 ( subtract 16 from both sides )
2x = 74 ( divide both sides by 2 )
x = 37
Then
∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. *
Answer:
please give me brainliest for quest
Step-by-step explanation:
The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help
Answer:
8 feet, 256 ft^2
Step-by-step explanation:
The function of the area can be graphically rapresented with a parabola that opens downwards
in this specific case the vertex is the maximum point of the parabola.
(X) Vertex = -64/-8 = 8 feet
(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2
Answer:
Maximum Width = 8 feet.
Maximum area = 256 ft^2.
Step-by-step explanation:
Part A.
A = -4w^2 + 64w
Finding the derivative:
dA/dw = -8w + 64 = 0 for maxm/minm, so
-8w = -64
w = 8
The second derivative is -8 so w = 8 gives a maximum.
Part B.
The maximum area = -4(8)^2 + 64*8
= -256 + 512
= 256 ft^2.
Correct answer gets brainliest!
Answer:
D
Step-by-step explanation:
YD and TH
TH is in HOT and YD is in DAY
They go from end to the front in the same way
Making a straight line from left to right that are on the same place
Identifying the Input Value of a Function
The tiles on the left contain functions written using function notation. Match each function with its input.
h(g) = -4+9
The input is f.
f(h) = h - 7
The input is h.
g(t) = 21
The input is g.
Done
Intro
✓
Match each function with its impact
Answer: g(f)= 2f - The input is f
h(g)=-4+g - The input is g
f(h)=h-7 - The input is h
Step-by-step explanation:
The matches are:
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
We have to given that,
To Match each function with its input.
h(g) = -4+9
The input is f.
f(h) = h - 7
The input is h.
g(t) = 21
The input is g.
Now, We get;
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
So the matches are:
h(g) = -4 + 9 corresponds to input g.
f(h) = h - 7 corresponds to input h.
g(t) = 21 corresponds to input t.
Learn more about the function visit:
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What is the length of the diagonal of the square shown below?
5√2
Step-by-step explanation:
By the Pythagorean theorem,
A² + B² = C²
5² + 5² = C²
25 + 25 = C²
C² = 50
C = √50
C = √(2 • 25)
C = √2 x √25
C = √2 • 5
C = 5√2
Answer:
5[tex]\sqrt{2\\}[/tex]
Step-by-step expla
chọn tam giác ==> cạnh huyền là đường chéo của hình vuông ảg
sin(∝)= đối / huyền
⇒huyền= đối /sin(45°)
⇒huyền= 5/ sin(45°)
⇒huyền= 5[tex]\sqrt{2}[/tex]
Worth 12 points and actually help me with the question plz
Answer:
(x + 1, y - 3)
Step-by-step explanation:
The translation is 1 unit right and 3 units down.
Answer:
x+1 y-3
Step-by-step explanation:
Because with any of the points it goes to the right 1 and down 3
Kevin is doing a puzzle. He has completed 89/100 of the puzzle. Which decimal represents how much of the puzzle Kevin has left to do?
Answer:
100-89/100=11/100
=0.11
Help pls and thank uu
Answer:
[tex]for~x=3[/tex]
[tex]f(x)=-5[/tex]
[tex]So,f(3)=-5[/tex]
--------------------------hope it helps...have a great day!!Find area of shaded regioni in pi T):
3 in
120°
area of sector:
pi
Submit
Answer:
A = 2π in2
Step-by-step explanation:
See the image I have shared
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Please help this is done today at 11:59 PM tonignt
Answer:
should be 359.18876
Step-by-step explanation:
if you round it to the nearest hundredth it will give you your answer in units
47 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:
# of Siblings 0 1 2 3 4 5 6
Frequency 4 11 8 10 6 5 3
Round all your answers to 4 decimal places where possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents have at least 4 siblings?
%
94% of all respondents have fewer than how many siblings?
H. E. L. P. ! ! ! !
Answer:
(D) $1 050
Step-by-step explanation:
Simple interest = 7000 × 3 × 5/100 =
70 x 15 = 1 050
Pls help me with this!
Answer:
5 ÷ 1/3
5 × 3/1
5 × 3
=15
Step-by-step explanation:
the answer is 15
Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2
Answer:
Step-by-step explanation:
[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]
what is the correct answer
===================================================
Explanation:
Focusing on triangle ACD, we see that AC = 20 is the hypotenuse and AD = 20/2 = 10 is the short leg. The short leg is half that of the hypotenuse when working with 30-60-90 triangles.
Also, for these types of triangles, the long leg is sqrt(3) times that of the short leg. That makes CD = AD*sqrt(3) = 10*sqrt(3)
The opposite sides are the same length, meaning BC = AD and AB = CD.
-----------
The perimeter of rectangle ABCD is
P = AB+BC+CD+AD
P = 10*sqrt(3) + 10 + 10*sqrt(3) + 10
P = 20 + 20*sqrt(3)
P = 54.6410161513776
P = 54.6 cm is the approximate perimeter
Answer:
54.64 cm
Step-by-step explanation:
The perimeter of a rectangle is the total length of all the sides of the rectangle. Hence, we can find the perimeter by adding all four sides of a rectangle. Perimeter of the given rectangle is a + b + a + b.
Length of CD = 17.32 cm from :
[tex] \sin(60) = \frac{cd}{20} \\ then \: x = 17.32 \: cm[/tex]
now CD = BA
Now we must determine length of AD :
[tex] \sin(30) = \frac{ad}{20} \: then \: ad \: = 10 \: cm[/tex]
Now :
perimeter = 17.32 + 17.32 +10+10 = 54.64 cm
A red light flashes every 6 seconds
A yellow light flashes every 4 seconds
They both flash at the same time.
After how many seconds will they next both flash at the same time?
Answer:
12
Step-by-step explanation:
6 and 4 are factors of 12
6, 12
4, 8, 12
What is 2y+5 = 3y+2 ?
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]
For A = R + PRT/100 make P the subject.
Answer:
P=100(A-R)/RT
Step-by-step explanation:
A-R=PRT/100
100(A-R)=PRT
100(A-R)/RT=P
P=100(A-R)/RT
can you guys help me please!
Answer:
Step-by-step explanation:
5/12,3/8,6,14in ascending or
der
A force of 68 N is applied to an area of 540 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
[tex]P=1259.26N/m^2[/tex]
Step-by-step explanation:
From the question we are told that:
Force [tex]F=68N[/tex]
Area [tex]A=540cm^2=0.054m^2[/tex]
Generally the equation for Pressure is mathematically given by
[tex]P=\frac{F}{A}[/tex]
[tex]P=\frac{68}{0.054}[/tex]
[tex]P=1259.26N/m^2[/tex]
hi please answer me asap I will mark brainlist
Answer:
for No1 answer is 0. for no 2 answer is 9.
Step-by-step explanation:
for no 3 answer is 14. no 4 =5,no 5 = 0 ,no 6= -16/3 ,no 7 =-3 ,no 8=180 and no 9 = 3
15. Identify the slope of the line graphed below? *
Answer:
[tex]\displaystyle m = 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (0, -1)
Point (1, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--1}{1-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{2}{1}[/tex][Fraction] Divide: [tex]\displaystyle m = 2[/tex]Answer:
Step-by-step explanation:
If I can travel 35 miles on 1 gallon of fuel and my tank holds 8 gallons, how many miles can I travel on a tank of fuel?
Answer:
can can travel 280 miles
Step-by-step explanation: