Find each pair of similar solids, find the ratio of the volume of the first figure to the volume of the second
Answers
Step-by-step explanation:
Scale factor = 4/3. Therefore radius if larger cone = 4r/3 where r is the radius of the smaller cone and height of larger cone = 4h/3 where h is the height of the larger cone.
So ratio of volumes = r^2 * h/(4r/3)^2 * 4h/3) = 9/16 * 3/4 = 27/64
30 is a similar process except it's cylinders so find the scale factor and go on with that problem.
Related Questions
What is an equation of the line that passes through the point (4, -3) and is
perpendicular to the line
4x +y = 3?
Answers
Answer:
y = 1/4x - 4
Step-by-step explanation:
If you put the equation in slope-intercept form y=mx+b, then you have y=-4x+3, so the slope is -4. Then take the negative reciprocal of that so you have the perpendicular slope 1/4. Plug in x, y, and, m into the equation and solve for b.
-3 = 1/4(4) + b
-3 = 1 + b
-4 = b, then rewrite the equation with the new slope and the b you found.
y = 1/4x - 4
Y=4×^2-13×+10 what is the quadratic function by factoring?
Answers
Answer:
(4x-5)(x-2)
Step-by-step explanation:
factors of 10: 1,10, &2,5
factors of 4: 1,4 &2,2
(4x-5)(×-2)
A catalog store has 9% of its orders returned for a refund. The owner predicts that a new candle will have 1,284 returns out of the 16,496 sold. Do you agree with this prediction? Select from the drop down menu the words and numbers into the statements to complete the explanation.
Answers
Answer:
No. 1,284 is not 9% of 16,496
Step-by-step explanation:
9% of 16,496
9/100 × 16496
1484.64
1284 is not 9% of 16,496
A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.
20 points i think
Answers
Answer:
43 paperback books
Step-by-step explanation:
7.50(15) + 1.25x = 166.25
112.50 + 1.25x = 166.25
Subtract 112.50 from both sides
(112.50 - 112.50) + 1.25x = (166.25 - 112.50)
1.25x = 53.75
Divide 1.25 from both sides
x = 43
Which of the following functions has the largest value when x= 3? Show your work.
p(x) = 2x^2 + 4x + 11
h(x) = 4x
s(x)=10x
Answers
Answer:
p(x)
Step-by-step explanation:
Substitute x = 3 into each function and calculate the value.
p(3) = 2(3)² + 4(3) + 11 = 2(9) + 12 + 11 = 18 + 12 + 11 = 41
h(3) = 4(3) = 12
s(3) = 10(3) = 30
Thus p(x) = 41 is the largest value when x = 3
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
In the fraction below, which number is the numerator?
4
14
O A. 4
O B. 13
SUBMIT
a
Answers
Which is an equation of the line through (-1,-4) and parallel to the line 3x+y=5
y = -3x + 7
y = -3x - 7
y = 3x + 1
y = 3x - 1
Answers
Answer:
Step-by-step explanation:
hello :
the slope for the line :3x+y=5 is : -3 because you can write y = -3x+5
the equation is : y= -3x-7
the line passes through (-1,-4) ( because when x=-1 y=-3(-1)-7 =3-7=-4) and parallel to the line 3x+y=5 have same
slope : -3
What is the answer to this question?
Answers
Answer:
72
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answers
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
If it is 5 degrees outside, and the temperature will drop 12
degrees in the next six hours, what will the temperature be in six
hours?
Answers
Answer:
-7 degrees
Step-by-step explanation:
Dropping 12 degrees means that it will get colder by 12 degrees. The colder it gets, the lower the temperature. 5 degrees - the current temperature, is going to be dropped by 12 degrees. To calculate this: 5-12 = -7 (degrees)
Could i get some help on this please?
Answers
Answer:
27, 12, 9, 6, 4, 3
Step-by-step explanation:
please vote me brainliest
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?
Answers
Answer:
Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis
Step-by-step explanation:
The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).
Before reflection, the translation of MNO is given as 4 units down and 3 units left.
Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
Learn more about transformation here: https://brainly.com/question/18065245
#SPJ6
Can someone help me on this one.
Answers
2. 10 minutes
Answers:
a) 6km/hour
b) 10 minutes
Step-by-step explanation:
a) after 30 minutes, Jo had walked 3km which means that after 1 hour
(30mins x 2), Jo would have walked 6km (3km x 2).
∴ Jo walks 6km/hour for the first 30 minutes
b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins
∴ Jo's rest was 10 mins long
Hope this helps :-)
Find the range of the data in the box plot below.
pencils
PLZ ASAP PLZ ASAP
Answers
Answer:
12
Step-by-step explanation:
the range is = maximum value given - the minimum value given
the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.
the range would then be 12 - 0.
Which is a solution for the equation 2x - 3 = 33?
O n = 12
On = 13
On = 18
On = 19
Answers
Answer:
x = 18 hope this helps
(33+3=36)
(36÷2=18)
x = 18
hope this helps
Which is the graph of f(x) = x2 – 2x + 3?
Answers
Answer:
Step-by-step explanation:
We cannot factor this function out which tells us that there are no zeros. The graph backs this up because we can see that there are none. The easiest way to graph this would start by plugging in points and making a table for yourself.
Lets start by plugging in -1.
(-1)^2-2(-1)+3 =6, this means we have a point at (-1,6).
Now lets plug in 0.
(0)^2-2(0)+3= 3 (0,3)
For plugging in 1
(1)^2-2(1)+3=2 (1,2) (this happens to be the vertex)
And lastly lets plug in 2
(2)^2-2(2)+3=3 (2,3)
Depending on how many points are needed, keep plugging in numbers like we did above.
Answer:
A
Step-by-step explanation:
Edge 2021
1/3 x 1 1/4 as a fraction
Answers
Answer:
11/12
Step-by-step explanation:
1
3
(
11
4
)
=(
1
3
)(
11
4
)
=
(1)(11)
(3)(4)
=
11
12
(Decimal: 0.916667)
PLease mark me brainllest!!!
The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Calculation of the fraction:Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]
We have to multiply these two in fractions
So,
[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]
Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Learn more about fraction here: https://brainly.com/question/17748421
The population P of birds in an area is modeled by the exponential model
P(t) = 30e-95t where t represents time in years.
Is the population of birds increasing or decreasing?
a. Increasing
b. Decreasing
Answers
find the area of this triangle. pls help
Answers
Answer:
area is 24
Step-by-step explanation:
Which of the following functions is graphed below?
ASAP !!
Answers
Answer:
B. y=[x]+4
when you plug it into the calculator you get b
!! Please help!!
With the exception of 1 and 63, find all the numbers that divide into 63 with no remainder
A. 2, 3,6
B. 3,9,21
c. 3,7
D 3,7,9, 21
E, 3,7,9
Answers
Answer:
the factors of 63 are:
1,3,7, 9, 21, 63
D. 3, 7, 9, 21, 63
Step-by-step explanation:
The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.
Answers
Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
Read more about linear functions at:
https://brainly.com/question/4025726
Help me solve this.50+(3x+4)
Answers
Answer:
50+4=54 and you can't add a number with a letter to th number that doesn't so it is 54+3x.
Step-by-step explanation:
Answer:
54+3x
Step-by-step explanation:
Hope this helps! Have a nice day!
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answers
Answer: 75°
Step-by-step explanation:
Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
x + 5 + 3x + 3x = 180
simplify
7x + 5 = 180
subtract 5 from both sides
7x = 175
divide each side by 7
x = 25
plug 25 in for x to find the angle measure
3(25) = 75
The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).
The lengths of sides AC and AB are congruent.
Angle CAB = (x + 5) degrees.
Angle ABC = (3 x) degrees.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:
⇒ x + 5 + 3x + 3x = 180
Rearrange the likewise terms and apply the arithmetic operation,
⇒ 7x + 5 = 180
Subtract 5 from both sides of the above equation,
⇒ 7x = 175
Divide both sides by 7 of the equation,
⇒ x = 25
Since Angle ∠ABC is (3 x) degrees.
Substitute the value of x = 25 to find the angle measure
⇒ Angle ∠C = 3(25) = 75°
Therefore, the measure of angle ∠C would be 75 degrees.
Learn more about congruent triangles here:
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The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answers
Answer:
2 6 10
Step-by-step explanation:
The point (5, -2) is rotated 90° about the origin. Its image is
(-2, 5)
(2, 5)
(-5, 2)
Answers
Answer:
(2,5)
Step-by-step explanation:
The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.
Answer:
(2,5)
Step-by-step explanation:
2/3 + (-5/7)
.........
Answers
Answer:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
-1/21
Step-by-step explanation:
2/3 + (-5/7)
2/3 - 5/7
Lcm: 21
(2×7 - 5×3)/21
(14 - 15)/21
-1/21
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answers
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
What is the area of the regular pentagon with 5 inch sides and an apothem that measures 4.2 inches?
Answers
Answer:
43.01m^2
Step-by-step explanation:
[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]
This is the formula for a pentagon
Answer:52.2in
Step-by-step explanation:
Did it on a test and got it correct
