Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.
What is the volume?
The volume of the shape shown is 105π cm³
What is volume?
Volume is the amount of space occupied by a three dimensional shape and object.
Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³
Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³
Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³
Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³
The volume of the shape shown is 105π cm³
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28. Suppose an investment doubles in value every 5 years. This is year the
investment is worth $12,480. How much will it be worth 10 years from now? How
much was it worth 5 years ago?
I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth
a number is added to 5 and the result is multiplied by one third and gave 27. what is the numeber?
Answer:
76
Step-by-step explanation:
5 + X = Y
Y/ 3 = 27
Substitute Y with 5 + X
(5 + X) / 3 = 27
5 + X = 81
X = 76
Answer:
76
Step-by-step explanation:
let the number be n then added to 5 is 5 + n , so
[tex]\frac{1}{3}[/tex] (5 + n) = 27 ( multiply both sides by 3 to clear the fraction )
5 + n = 81 ( subtract 5 from both sides )
n = 76
the number is 76
7.5 miles in 1/4 hour
Answer: name? must ride 7.5 miles in 1/4 hour to achieve this target speed so gender? needs to ride an addititonal 9.8 mile per1/4 hour
Step-by-step explanation: yeah you welcome
The cubic polynomial f(x) is such that the coefficient of x^3 is 2 and the roots of the equation f(x)=0 are -1, 3 and c. It is given that f(x) has a remainder of 8 when divided by x - 1. Find the value of c.
Answer:
1 add on both sides
subtract
2
4
4
A goat is tethered by a rope 3. 5 m long. Find the maximum area that the goat can
graze.
Answer
3.5/5
13
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anmol7337
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998 answers
648.6K people helped
Answer:mark as brainliest
mark as brainliest answer
The goat will be able to move in a circular manner
Step-by-step explanation:
1_ radius =3.5/2=1.75
then area of a circle is πr²=
=22*1.75*1.75/7=
9.6m²
2- if length is increase to 4.9 m then new radius =2.45
then new area =22*2.45*2.45/7=37.75m
I hope it will help u and please mark as brainliest answer then u will get points
Increase 128 in a ratio 4:5
Answer:
160
Step-by-step explanation:
5/4 × 128 = 160
__
You can write the proportion ...
128 : x = 4 : 5
Then multiplying by 5x gives ...
(128)(5) = 4x
x = (5/4)(128) = 160 . . . . divide by 4 and evaluate
Write a vocabulary term for this analogy.
A double bar graph is related to a bar graph in the same way as a(n) ___?___ is related to a box plot
Can u pls help me with this question
Answer:
[tex]-k^2+7k[/tex]
Step-by-step explanation:
Using the given equations, we must find [tex]C-B[/tex]
Start by substituting the given values into the expression:
[tex]C-B\\k-3-(k^2-6k-3)[/tex]
Now, take the terms out of the parentheses.
[tex]k-3-(k^2)-(-6k)-(-3)\\k-3-k^2+6k+3[/tex]
Please note that two negatives make a positive
[tex]k-3-k^2+6k+3[/tex]
Combine like terms:
[tex]-k^2+7k[/tex]
please answer this URGENT!! will give brainlisest
Answer:
calculate length of BE is 9
Step-by-step explanation:
because the line which is in between two sides of a triangle is parallel with the third side and it's length equals the half of the third's side length
The answer please help me this is a final
Answer:
i don't know I don't have ideas
PLEASE HELP
I NEED THIS NOW
Answer:
the 3rd one and the last one
Step-by-step explanation:
functions can't have the same y coordinate.
The y-intercept of g(x)=3/5f(5x) is 15.
Which of the following is the y-intercept of f(x) ?
A/ 3
B/9
C/25
D/75
Answer:
C) 25
Step-by-step explanation:
A function is scaled vertically by multiplying every function value by the scale factor. For some scale factor k, the function g(x) = k·f(x) is a vertically scaled version of the function f(x).
Here, we are given ...
g(x) = 3/5·f(x)
This means the y-intercept is also scaled:
g(0) = 3/5·f(0)
f(0) = 5/3·g(0) . . . . . multiply by 5/3
f(0) = 5/3·15 = 25
The y-intercept of f(x) is 25.
What is y + x =56? Please help me!
Answer: y = 50 and x = 6
Step-by-step explanation:
Answer:
y+x=56
y=50
x=6
50+6=56
Hope this helps you
At the end of a 5-year term, what is the balance of an $8,000 investment at a simple interest rate of 1. 8 percent?
Round to the nearest dollar.
$8,000
$8,720
$8,751
$9,382
PLEASE HELP ASAP!!!!!!!!!!!!!!! QUESTION 47 CONCUMER MATH
Answer:
$8,720
Step-by-step explanation:
SI = PRT where;
SI = simple interest
P = principal amount/starting amount
R = rate as a decimal/fraction
T = time in years
I = 8000 . 5 . 0.018
I = 720
8000 + 720 = 8720
b. Find the co-ordinates of the mid-point of the line joining the points A(4,-6) and B(-2,4)
Answer:
(2, 4)
Step-by-step explanation:
correct me if im wrong if i am im sorry
The length of the sides of a triangle can be represented by these three expressions: (7/8x + 3/4y) (2y - 1) (4 - 1/2x)
What's the perimeter of the triangle?
Answer:
=(3/8)x+3(3/4)y−(1/3)
Step-by-step explanation:
Perimeter =(7/8)x+(3/4)y+2y−1+y−(1/2)x+(2/
3)
Combining like terms together,
=(7/8)x−(1/2)x+(3/4)y+2y+y−1+(2/3)
=(3/8)x+3(3/4)y−(1/3)
give brainliest.
Find the derivative of
[tex]\\ \rm\Rrightarrow y=\dfrac{sinx+cosx}{sinx-cosx}[/tex]
Proper explanation is mandatory
Note:-
Spams/sHort/wrong answers will be deleted on the spot .
Answer:
y' = 1 / sinxcosx
Step-by-step explanation:
Given :
y = sinx + cosx / sinx - cosx
Applying quotient rule :
y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -
cosx)²
y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²
y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²
y' = -2(sin²x + cos²x) / (sinx - cosx)²
y' = -2 / (sinx - cosx)²
y' = -2 / sin²x - 2sinxcosx + cos²x
y' = -2 / -2sinxcosx
y' = 1 / sinxcosx [⇒ Final answer]
Answer:
⇒[tex]y'=-\frac{2}{(six-cosx)^{2} }[/tex]
Step-by-step explanation:
⇒Answer in the attachment.
Solve the question please
Answer:
a = 12
b = 9
Step-by-step explanation:
b = 3/4(a)
9 = 3/4(12)
9 = 9
a + b = 21
9 + 12 = 21
------------------------------------
b = 3/4(a)
-16(1/4) = (3/4) ((37(1/4))
-16 (1/4) = 447/16
False
----------------------------------
a + b = 21
20 + 11 = 21
31 = 21
False
--------------------------------
a + b = 21
20 + 15 = 21
35 = 21
False
------------------------------
The only correct one was a = 12; b = 9
I hope this helps!
The table shows the average length in
minutes of professional baseball games in
selected years.
Answer:
See attached image.
Step-by-step explanation:
See the attached image.
Use Microsoft Excel to produce a scatter chart.
The correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
From the table, the value of r:
r = -0.12
The negative correlation exist between year and time.
Since the value of r is not near the -1 or -1 we can say the relation is very weak.
The line of best fit:
y = mx + c
m = -0.11
c = 385.50
y = -0.11x + 385.50
Thus, the correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50
Learn more about the correlation here:
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Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answer:
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
The sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The missing figure is attached to the picture, please refer to the picture.
From the figure we can see the transformation applied on the pentagon is a 90° counterclockwise rotation around the origin, followed by a translation of Three units up and seven right
Thus, the sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
Learn more about the geometric transformation here:
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help me pleaseeeeeeeeee
Answer:
math po ba yun
Step-by-step explanation:
o sience anong subject yan
Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step:
1. Find the positive difference between the original number and the new number.
2. ________________________
3. ________________________
4. Round the answer if necessary.
They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?
2. Divide the difference by the original number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the original number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
Answer:
2. Divide the difference by the original number.3. Multiply it by 100.
Hope this helps :)
Val is driving 25 miles per hour. If Val travels for 3 hours, how far will she travel?
Answer: 75
Step-by-step explanation: Keywords; "driving 25 miles per hour", "travels for 3 hours in total"
To solve this problem we are going to use the rate (r) and time (t) equals distance (d) formula.
d=rt
plug in the numbers into the formula as shown.
d=25 x 3
now solve.
25x3=75
final answer is 75.
hope this helps!
There a 10 apples 5 green ones and 2 red ones how many are golden. 20 points
Answer:
The answer is 3
Step-by-step explanation:
If there is 10 in total
. if there are 5 green apples
. and 2 red apples
there would be 3 golden apples
Problem:. 5 + 2 = 7
. 10 - 7 = 3
golden = 3
May i get brainliest
Answer:
There's 3 gold apples
Step-by-step explanation:
Pls, choose me as brainliest!
Here is my question please answer my question ASAP
Answer:
Thanks for the points but someone may report and delete it.
Step-by-step explanation:
please helppp
Prove that:
i think the answer is 12
Step-by-step explanation:
Find the length of BC. Round your answer to the nearest whole number.
Answer:
------------------
Step-by-step explanation:
----------------------
Answer:
BC = 5 cm (nearest whole number)
Step-by-step explanation:
Use the sine trig ratio:
[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 22.6°side opposite the angle = ahypotenuse = 13Substituting these values into the sine ratio formula:
[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]
[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]
[tex]\implies \mathsf{a=4.995839195...}[/tex]
Therefore, BC = 5 cm (nearest whole number)
MATH HELP! 100 POINTS!
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
_______
_______
#Dotted one
(0,2)(-3,1)Slope
m=1-2/3=-1/-3=1/3Equation in point slope form
y-2=1/3xy=1/3x+2Put (0,0)
0<2So the equation is
y<1/3x+2#Dark one
(0,2)(1,0)Equation in intercept form
x/a+y/b=1x/1+y/2=12x+y=2y=-2x+2Put (0,0)
0<2Equation
y<-2x+2Mr. Jones bought a cloth of length 3890 cm. How much is the length in m and cm?
Answer:
38m and 90cm
1m = 100cm
3890cm = 38m and 90cm
Step-by-step explanation:
1m = 100cm
3890cm = 38m and 90cm
It is 3890 cm long
1 m = 100cm --> 3890cm = 38.9 meters
Hope that helps!