Answer: [tex]385cm^{2}[/tex]
Step-by-step explanation:
given data:
AB= 10 cm.
BC = 22 cm.
volume of a cylinder V = [tex]\pi r^{2} h[/tex]
h = 10.
solution
base of the circumference = 22cm
circumference of a circle = [tex]2\pi r[/tex]
r = radius is unknown.
[tex]2\pi r = 22[/tex] .........................eq1
where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.
[tex]2* \frac{22}{7}* r = 22[/tex]
[tex]\frac{44}{7} r = 22[/tex]
[tex]r = \frac{22}{\frac{44}{7} }[/tex]
[tex]r= 3.5cm[/tex]
next we solve for the volume of the cylinder.
recall [tex]V = \pi r^{2} h[/tex]
h = 10cm
r = 3.5cm
[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]
[tex]V = 385cm^{2}[/tex]
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)2 + 56, where x is in seconds. o What is the height of the platform? o What is the maximum height the rocket reaches? o How long does it take to reach this height?
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
Hence it takes 3 secs to reach the maximum height.
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
Hence the maximum height that the rocket reaches is 56m
What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
O (0, 0)
O (0,4)
Which expression represents the phrase 17 less than three times a number
This is an algebra expression. What we do is write it down in simplest form.
1. Write down equation
= 17 - 3 x n
= 3 x n + (-17)
I hope this answer helped. Have a great day everyone!
What is the slope of the line? *
Answer:
- 1.5
Step-by-step explanation:
I suggest to make a table
x y
-2 3
2 -3
from 3 to -3, you subtract 6
from -2 to 2, you add 4
so y/x
-6/4 = -1.5
Slope is -1.5
Hope this helped!
BRAINIST & 20 POINTS
*random answers will be reported*
Answer:
(0, 13)
Step-by-step explanation:
The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.
2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).
So 1 space left from the midpoint is 1-1=0.
For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.
please give thanks by clicking the heart button! :)
A medium size apple weighs about 225
grams. How
many medium
apples would it take to make 1.5 kilograms?
Answer:
Concept: Unit Conversion and Application
1 apple = 225 gram 225 grams to kg = 0.225 Remember there are 1000 grams in a kg Hence we want to know how many apples make up 1.5 kg 1.5/0.225=6.66 apples But we must be conservative to not underproject Hence 7 applesAnswer:
A. 7Step-by-step explanation:
1 apple weights 225 g
1.5 kg converted to grams = 1500 g1500 / 225 = 6.66 ≈ 7 apples rounded upCorrect option is A. 7
Which of the following functions best describes this graph?
A. y = x^2 - 8x +18
B. y = (x+4)(x+5)
C. y = x^2 -9x +20
D. y = (x-3)(x+4)
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see the roots at two points
these are points x = 4 and x = 5
This can be written in their linear forms as;
x-4 and x-5
Finding the products of both, we have
x(x-5) -4(x-5)
= x^2 -5x -4x + 20
= x^2 - 9x + 20
Find the equivalent expression for (x+7)(x+1)
Answer:
x^2 + 8x + 7
Step-by-step explanation:
We can see this expression as two distributive property expressions:
(x+7)(x+1) = x(x+1) + 7(x+1)
We can then expand and combine like terms:
(x^2 + x) + (7x + 7) = x^2 + 8x + 7
We have our final answer. I hope this helps! :)
a 0.5-kg ball accelerated at 50 m/s what was the force applied
The answer will be 25n because force equals mass times acceleration
3. Three measuring tapes are respectively 24cm, 35cm and 54cm. Which shortest length
of a tape can be exactly measurable by these three tapes? Find it.In L.C.M division method
Answer:
7560
Step-by-step explanation:
view picture
15 POINTS!!!
Solve the equation.
x over four – 5 = –8
A. –27
B. –12
C. –7
D. 12
x/4 - 5 = -8
=> x/4 = -8 + 5
=> x/4 = -3
=> x = -3 × 4
=> x = -12
So, answer is B. –12
PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 4
4 7
g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Answer: Its most likely C
Step-by-step explanation:
I think
Answer:
c
Step-by-step explanation:
c
Katie is purchasing plates and mugs for her house.
She would like to buy at least 8 items. Plates cost
$8 each and the mugs cost $7 each, and she plans
to spend no more than $112. Write a system to
model the situation and then solve.
Step-by-step explanation:
Plate: $8 each
Mug: $7 each
Spend Limit: $112
Items Wanted: 8
Considering she wants eight items, she can split that in half and buy four of each item, plate and mug.
8 * 4 = 32
$32 for 4 plates.
7 * 4 = 28
$28 for 4 mugs.
However, if she wanted to spend all the money, she could buy a few more of each item.
5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours
Answer:60hours
Step-by-step explanation:
465/155×4
=60 hours
This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
A store is having a summer sale where all prices are 25−30% off. If you want to buy a pair of shoes that costs $50.00, what could be the sale price for this pair of shoes? An 8% sales tax must be applied to the sale price. What would be the final cost of the pair of shoes, including the sales tax?
Answer:
Before Tax: $37.50 and $32.50
After-Tax: $40.50 and $35.10
Step-by-step explanation:
In order to calculate the sales price we need to turn these percentages into the proper decimals, since they are discounts we would do this by dividing each percentage by 100 and then subtracting them from 1. Then we use those decimals and multiply them by the original cost of the shoes.
25% / 100 = 0.25
1 - 0.25 = 0.75
50.00 * 0.75 = $37.50
30% / 100 = 0.35
1 - 0.35 = 0.65
50.00 * 0.65 = $32.50
Now we see that the sales price for these shoes would range between $37.50 and $32.50. Now we need to add an 8% sales tax, we do this by dividing this percentage by 100 and adding 1 to it. Then we multiply this new value by the new sales prices.
8% / 100 = 0.08
0.08 + 1 = 1.08
$37.50 * 1.08 = $40.50
$32.50 * 1.08 = $35.10
Your company makes game parts using 3-D printers. One customer wants a circular game coin that is 2.0 centimeter across and 0.5 centimeters thick. You need to estimate the of plastic you will need for each arch of 50 coins. How many cubic centimeters is that, rounded up if necessary to be a multiple of 10 cubic centimeters?
Answer:
80 cm^3
Step-by-step explanation:
The computation of the number of cubic centimeters rounded up to 10 cubic centimeter is shown below
For any type coin,
r = d ÷ 2
= 2 ÷ 2
= 1 cm
l = 0.5cm
For making 1 coin, the plastic required would be = Volume of coin
= πlr^2
= 3.14 × 0.5 × 1 × 1
= 1.57cm^3
Now For 50 coins,
Plastic needed is
= 50 × 1.57
= 78.5cm^3
= 80 cm^3
Find the value of f(x)= 3x to the power of 2 - x +23 for x=-4
Answer:
This is not a real equation
Step-by-step explanation:
You cant do it when there are multiple resudents
Ty is placing CDs in boxes. There are a total of 7,200 CDs. Each box holds 90 CDs. How many boxes will Ty fill? A. 80 B. 70 C. 100 D. 90
Answer:
80 boxes.
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
Answer:
80 CDS
Step-by-step explanation:
Total CDs available = 7200CDs
Amount of CD in each box = 90 CDs
To get the number of boxed Ty will fill, we will say;
90CDs = 1box
7200 CDs = x
Cross multiply
90 * x = 7200 * 1
90x = 7200
x = 7200/90
x = 80
Hence Ty will fill total of 80 boxes.
- 1/2 ( -5/6 + 1/4)
Answer:
0.29166666666
Step-by-step explanation:
Answer:
0.29166666666
Your answer...
2 angles are said to be complementary if their sum is what?
Answer:
90°
Step-by-step explanation:
Complementary angles sum to 90°
Supplementary angles sum to 180°
Answer:
90°
Step-by-step explanation:[tex]\\[/tex]
An example is:
Write two truths and a lie about the graph shown below (I have no idea what they are trying to ask)
1) P n Q'
2) P' U (Q n R)
Find a unit rate: Joel ran 1500 meters in 6 minutes, 15 seconds.
Answer:
240 metres per minute
Step-by-step explanation:
1500 / 6.25 = 240
Are these triangles similar?
Known angles in Triangle 1: 40º, 60º
Known angles in triangle 2: 80º, 40º
Ava buys a book for $8.85 .she pays $10 bill.How much chang will see get?
Given:
Ava buys a book for $8.85 .
She pays $10 bill.
To find:
The amount of change she will get.
Solution:
We have,
Price of book = $8.85
Amount she pays = $10
Now,
Amount of change = Amount she pays - Price of nook
Amount of change = $10 - $8.85
Amount of change = $1.15
Therefore, she will get $1.15 as change.
Answer:
1.15
Step-by-step explanation:
What is the volume of a pyramid that has the same base and height as this prism?
the length is 3 and the width is 3 and the height is 9
Answer:
Step-by-step explanation:
The answer is 18
Answer:
27
Step-by-step explanation:
a. 128
b. 136
c. 153
d. 258
plz help
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
Determine the domain of the following graph:.....
Domain: possible x values
Between -10 and 6
Solution: -10 < x < 6
Help!! I’ve been Stuck on this last problem
Answer:
..
x = 86
y = 94
z = 54
........
