Complete question:
Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.
Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.
Answer:
In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.
We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.
Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.
Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.
The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.
please help...................
Answer:
A, C, D, E
Step-by-step explanation:
sqrt(1.8)=1.34<1.8 (true)
sqrt(1.8)=1.34>1 (false)
sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)
1.3<sqrt(1.8)=1.34<1.4 (true)
sqrt(1.9)+sqrt(1.8)=2.7>2 (true)
sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)
Answer:
a c d e
Step-by-step explanation:
don't come for me if it's wrong
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!
Answer:
(up) by 6
left by 7
Step-by-step explanation:
An entry level programmer's annual pay is $58.916 based on 52 weeks per year. Due to the economy, his company is having to cut back on
the number of weeks that it employs its programmers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how
much should the programmer expect his annual pay to decrease? Round your answer to the nearest dollar
Answer: $1133
Step-by-step explanation:
Programmer's pay for 51 weeks will be
(51 * 58916) / 52 = 57,783
Loss in salary
= 58916 - 57783 = 1133
Consider the diagram. Lines a and d are?
Answer:
perpendicular
Step-by-step explanation:
They form a 90 degree angle
which of the following descriptions represents the transformation shown in the image?
Answer:
C. left two units, up three, reflection on the x = -1
Help me plsssss. Exterior angles definitions
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°
What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...
the two polygons shown are similar what is the correct similarity statement
Answer:
The middle choice
Step-by-step explanation:
The first figure starts on the upper right corner and goes around from A to B to C to D.
So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.
Answer:
Determine whether each pair of polygons is similar
Step-by-step explanation:
Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)
What is (4h^2b)^2 written in its simplest form?
Answer:
16h⁴b²
Step-by-step explanation:
(4h²b)²= 4²(h²)²b²= 16h⁴b²
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is
.
The values of p must be
.
This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:
Rocco's current weight = initial weight - (half pound per week * # weeks)
p = 55 - 0.5*w
Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)
Answer:
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is p=55-0.5w
The values of p must be any real number 45 to 55
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Find the number missing from the following equivalent fractions:4/11= ?/66
Answer:
24
Step-by-step explanation:
whatever you add or divide to the numerator, you do to the denominator. the same occurs the other way round,too.
If 11 is multiplied by 6 to give 66.
then, 4 should also be multiplied by 6, for the equivalent fraction. This gives you 24.
Hope this helps. Good Luck
The missing number is 24.
please see the attached picture for full solution
Hope this helps..
Good luck on your assignment..
Which fraction is less than the fraction represented by the model?
Answer:
fraction represented by model = 5/8
fraction less than model = 2/4
The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.
What is a Fraction?A fraction is a number that is the part of the whole.
It is represented in the form of p/q, where q is not equal to zero.
The figure has a circle in which sections have been divided.
There are some shaded sections and some non-shaded sections.
The number of shaded section is 5.
The number of non-shaded section is 3.
The total sections are 8.
The fraction that is represented by the model is 5/8.
The model shown is a visual way to represent and understand fractions.
The fraction = 0.625
The fraction in the options are,
3/4 = 0.75
11/16 = 0.6875
13/16 = 0.8125
2/4 = 0.5
0.5 < 0.625
2/4 < 5/8
To know more about Fraction
https://brainly.com/question/10354322
#SPJ5
the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5
Answer:
-55/8, 61/8, x=47/24
Step-by-step explanation:
not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one
but basically just sub in the value into the eqn given
2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?
Answer:
15552 in^3
Step-by-step explanation:
Volume formula for a cube of side length s: V = s^3.
Then the total volume here is:
(24 in)^3 + (12 in)^3 = 15552 in^3
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
d) none of the above
Step-by-step explanation:
g is increasing in the intervals:
- 4.5<x<-3.5
and
-1<x<3.5
These are not covered in the answer options
options a) and c) are partially correct
Answer: d) none of the above
What is Three-fourths divided by one-sixth?
Answer:
9/2 or 4.5
Step-by-step explanation:
3/4 divided by 1/6 changes into multiplication and you switch one of the denominators
it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2
Answer:
9/2
Step-by-step explanation:
Anybody please do e for me please
Answer:
1. 200 cm
2. 2463.01 cm
3. 1275 cm
4. 346.67 cm
5. 1526.81 cm
Step-by-step explanation:
volume for square is l times w times h
volume for cylinder is pi times r times 2 times h
volume for square pyramid is a2h/3
volume for rectangular pyramid is l times w times h divided by 3
What is the length of AC? And Length of AB?
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
Hi...Could u plz help me...
Answer:
B and D I dont have time to explain
I am sorry.
Thanks for question
Evaluate A^2-B^2 for A=3 and B=-4.
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2
Answer:
A: -4
B: 5
C: -2
Step-by-step explanation:
The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.
-4x²+5x-2
Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.
A: -4
B: 5
C: -2
A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:
A 2 of Spades 1/13
A Jack 1/26
A red King 1/4
A Diamond suit 1/52
2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.
A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.
A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.
A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.
We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?
Answer:
$89.7
Step-by-step explanation:
We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches
The brackets are
48/12 = 4 feet
and
60/12 = 5 feet
One of each must be used to cover the height of the shelf
The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3
The total cost is
($12.95 + $16.95) * 3 = $89.7
The total cost of the brackets is $89.7
How do I do this 3x + 5.2 = 2 - 5x
Answer:
x = -.4
Step-by-step explanation:
3x + 5.2 = 2 - 5x
Add 5x to each side
3x+5x + 5.2 = 2 - 5x+5x
8x +5.2 = 2
Subtract 5.2 from each side
8x +5.2 - 5.2 = 2-5.2
8x = -3.2
Divide each side by 8
8x/8 = -3.2/8
x = -.4
Answer:
x= -0.4
Step-by-step explanation:
3x+5.2=2-5x
Add 5x to both sides
8x+5.2=2
Subtract 5.2 from both sides
8x= -3.2
Divide both sides by 8
x= -0.4
I just realized my answer is really similar to Wegnerkolmp2741o so sorry if it seems like I'm copying them.
Solve each equation for x 3х- 12у= 27
Someone please help me :( I’m struggling
Answer:
ax - by = k
Step-by-step explanation:
A literal equation is an equation made up of variables representing numbers that can be changed
ax - by = k is a literal equation because there are no numbers
Letters stand for each item
Write p(x) = 21 + 24x + 6x2 in vertex form.
Answer:
p(x)= 6(x+2)^2 -3
Step-by-step explanation:
Start with equation reworded
6x^2+24x+21
Factor
6(x^2+4x+7/2)
Complete the square
6(X^2 + 4x + 2^2 - 2^2 + 7/2)
Use binomial formula
6((x+2)^2 - 2^2 + 7/2)
Simplify
6((x+2)^2 - 1/2)
Expand
6(X+2)^2 - 3
Answer:
p(x)= 6(x+2)^2 -3
Step-by-step explanation:
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps
Answer:
[tex]slope = - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equation represents a proportional relationship?
y = 5x + 2
y = 100 x
y = 16x2
y = 6x
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2