Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]
L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1 and passes through the point with coordinates (8, 6) L2 crosses the x-axis at the point A. L2 intersects the straight line with equation x = –3 at the point B. Find the area of triangle AOB. Show your working clearly.
Answer:
40 sq units
Step-by-step explanation:
[tex]5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}[/tex]
Slope of [tex]L_2[/tex] is [tex]m_2[/tex]
[tex]m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2[/tex]
[tex]L_2[/tex] passes through point [tex](8,6)[/tex]
[tex]y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10[/tex]
Point at x axis where [tex]L_2[/tex] intersects is
[tex]0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5[/tex]
Point [tex]A[/tex] of the triangle will be [tex](5,0)[/tex]
[tex]L_2[/tex] intersects line [tex]x=-3[/tex]. The point is
[tex]y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16[/tex]
The points of the triangle are [tex]A(5,0), O(0,0), B(-3,-16)[/tex]
Area of triangle is given by
[tex]A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}[/tex]
The area of the triangle is 40 sq units.
Can someone tell me if I’m correct if not what should I change I will mark brainliest
Answer:
-8, 8, 25, -25
Step-by-step explanation:
Your answers are correct! :)
(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.
Answer:
Expanded Notation Form:
421.53 =
400
+ 20
+ 1
+ 0.5
+ 0.03
Expanded Factors Form:
421.53 =
4 × 100
+ 2 × 10
+ 1 × 1
+ 5 × 0.1
+ 3 × 0.01
Expanded Exponential Form:
421.53 =
4 × 102
+ 2 × 101
+ 1 × 100
+ 5 × 10-1
+ 3 × 10-2
Word Form:
421.53 =
four hundred twenty-one and fifty-three hundredths
Step-by-step explanation:
Answer:
Step-by-step explanation:
400
+ 20
+ 1
+ 0.5
+ 0.03
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
-The sum of two numbers is less than 10
-If we subtract the second number from the first, the difference is greater then 3
Write a system of inequalities that represents this situation. Let f represent the first number and s represents the second number.
Type the answer below
Answer:
A and C r the answers
12% of ___ shirts is 36 shirts
Answer: 3
Step-by-step explanation:
Answer:
300 shirts
Step-by-step explanation:
You can divide 12% by itself to find one percent, then divide the 36 shirts by 12 as well.
What you do to one side, you need to do to the other.
Now that we have our numbers after dividing (you should have 1% and 3 shirts) you can see what 100% would be. To do this you would multiply 1% by 100 and multiply 3 shirts by 100.
Now we know that 12% of 300 shirts is 36 shirts.
PROBLEM. 11.1: Rewrite These! Rewrite each quotient as a sum or a difference.
1.(4x-10)/2
2. (1-50x)/-2
3. 5(x + 10)/25
4.(-0.2x + 5)/2
Answer:
1. (4x-10)/2
4x/2 - 10/2
2x - 5
2. (1-50x)/-2
1/-2 -50x/-2
25x - 1/2
3. 5(x + 10)/25
(5x + 50)/25
5x/25 + 50/25
1/5 x + 2
4.(-0.2x + 5)/2
-0.2x/2 + 5/2
-0.1x + 2.5
The re- representation is
1. (4x-10)/2
2. (1-50x)/-2
3. 5(x + 10)/25
4.(-0.2x + 5)/2
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
1. (4x-10)/2
= 4x/2 - 10/2
= 2x - 5
2. (1-50x)/-2
1/-2 -50x/-2
25x - 1/2
3. 5(x + 10)/25
(5x + 50)/25
5x/25 + 50/25
1/5 x + 2
4.(-0.2x + 5)/2
-0.2x/2 + 5/2
-0.1x + 2.5
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Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11.
Write two equations that could be used to determine how much each funnel cake and drink costs. Use f for the cost of a funnel cake and d for the cost of a drink.
What is the cost of a funnel cake?
What is the cost of a drink?
Answer:
Let's define the variables:
f = Cost per cake
d = Cost per drink.
"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "
2*f + 1*d = $6.75
"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."
3*f + 2*d = $11.
Then we have a system of equations:
2*f + 1*d = $6.75
3*f + 2*d = $11.
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:
d = $6.75 - 2*f
Now we can replace this in the other equation:
3*f + 2*($6.75 - 2*f) = $11
3*f - 4*f + $13.50 = $11
-f = $11 - $13.50 = -$2.50
f = $2.50
Then the cost of a funnel cake is $2.50
And the cost of a drink can be obtained with the equation:
d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75
The cost of a drink is $1.75
Carol gets paid $10 per
hour to work as a lifeguard. This
weekend, she worked on both Saturday and Sunday. She
made a total of $80. Carol worked for 5 hours on Saturday.
For how many hours did she work on Sunday?
Let x = hours spent working on Sunday. Choose the equation and solution
steps that correctly represent this problem.
Answer:
3 hours
step by step explanation:
x + (10 x 5) = 80
Answer:
she worked 3 hours on sunday .Equation: 10 multiplied by x
Step-by-step explanation:
Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation
Answer:
60
Step-by-step explanation:
The answer is 60 because the equation u = 26 tells us u is 26
So we can plug in 26 into u + 34
It should look like this 26 + 34 and it equals 60
pls mark brainliest
A real estate agent works on a 10% commission. What is her commission on a house that she sold for $443,700? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
Answer:
$44,370
Step-by-step explanation:
$443,700 * 1/10 = $443,700/10 = $44,370
She made $44,370 off the commission
PLEASE HELP ILL GIVE BRAINLIAST
CD is the perpendicular bisector of AB.
AD = 6x – 2 and DB = 2x + 18.
Determine the value of x.
x = [ ? ]
A.
D
B.
Enter
Answer:
Step-by-step explanation:
48-5+ 2x -7 -54 ABE 39. - x=2. 66 - 12 = 54. BC, 15. AB=5 =BC. 6x = 66. - They are. XH. Not. 2) Find the coordinates of the midpoint of the segment with the given endpoints. ... j) Concurrency of Perpendicular Bisectors of a Triangle Theorem: ... Find AE. 40. Find AD. 76. 76. Sy + 20. Find BC. 54. Find AC. 80. Find CD. 76.
A certain game consists of rolling a single fair die and pays off as follows: $5 for a 6, $3 for a 5, 51 for a 4, and no payoff otherwise. Find the expected winnings for this game.
Answer:
The expected winning is + $2.17
Step-by-step explanation:
Here, we want to calculate the expected winnings for the game
The number of possible results are;
1,2,3,4,5,6
Probability of each value is 1/6
So expected pay off is as follows;
1/6(5) + 1/6(3) + 1/6(5) + 0
= 5/6 + 3/6 + 5/6
= 5/6 + 5/6 + 1/2 + 0
= 10/6 + 1/2 = 5/3 + 1/2 = (10 + 3)/6 = 13/6 = 2.1667
Answer right and I’ll give you brainliest
In the triangle shown, let AB = DE, BC = EF, and CA = FD. Use Rigid Motions to show (triangle)ABC onto (triangle) DEF.
Answer:
Step-by-step explanation:
Given: AB≅DE, BC≅EF, CA≅FD
Since those are the given it is maped A to D, B to E, C to F
This is a rigid transformation because the distance is preserve (givens) and the triangle ABC is map to triangle DEF.
Rigid transformations produce congruent figures so triangle ABC is congruent to triangle DEF
what is the anwser to 22.4 x17.82
Answer:
3399.168
Step-by-step explanation:
Answer:
399.168
Step-by-step explanation:
68. A table top and the floor are a model of parallel planes.
a. True
b. False
Answer:
true
Step-by-step explanation:
True the table top can go on forever without touching the floor.
Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
210
Step-by-step explanation:
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
The value of expression is 210.
What is an Expression?
An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is 2x – 3y + 4z
The value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11 is
=2x-3y+4z
=2×10-3×(-12)+14×11
=20+36+154
210
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Re-write the equation in slope-intercept form: 5x + 4y = 20
Answer:
y=5-5/4x
Step-by-step explanation:
slope-intercept form: y=mx+b (m= slope, b= y-intercept)
5x + 4y = 20
4y=20-5x
simplify
y=5-5/4x
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answer:
2 7/20
Step-by-step explanation:
2/5x+y=3
Solve for y
What is the missing number?
45/9 = 12 - ?
Answer:
7
Step-by-step explanation:
45/9 = 5
12 - 7 = 5
3. Solve using mental math.
4y + 3 = 19
04
05
05.5
064
Answer:s
Step-by-step explanation:
Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
a
–2,916
b
972
c
8,748
d
–2,920
Answer:
a
Step-by-step explanation:
a=-4 r=12/-4=-3
T7= ar^n-1
= (-4)(-3)^7-1
=-2916
The first term of this geometric sequence is equal to: A. -2916.
How to calculate the 7th term of a geometric sequence?Mathematically, a geometric sequence is given by this expression:
[tex]a_n =a_1r^{n-1}[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.Based on the geometric sequence, the first term is equal to -4. Also, the common ratio is given by:
r = 12/-4
r = -3.
For the 7th term, we have:
a₇ = -4 × (-3)⁷⁻¹
a₇ = -4 × (-3)⁶
a₇ = -4 × 729
a₇ = -2916.
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Sally wants to buy an assortment of candy. She has $7 dollars she can spend in the candy store. The candy store sells chocolate bars, lollipops, and gumballs at the prices shown below. Chocolate bars cost $1.50 per bar. Lollipops cost $0.75 per lollipop. Gumballs cost $0.25 per gumball. Sally wanted to find the cost of combinations of candies she could buy. Enter the cost, in dollars, of each candy assortment in the table.
Answer:
I found the table by an online search (it is below)
Sally has $7 to spend in candy.
The price of a chocolate bar is $1.50
The price of a lollipop is $0.75
The price of gumballs is $0.25
In the table, we have the following combinations.
a) 3 chocolate bars, 3 lollipops and 4 gumballs, the price is:
3*$1.50 + 3*$0.75 + 4*$0.25 = $7.75 (she can not buy this)
b) 3 chocolate bars and 4 gumballs, the price is:
3*$1.50 + 4*$0.25 = $5.50 (she can buy this)
c) 1 chocolate bar, 5 lollipops and 2 gumballs, the price is:
1*$1.50 + 5*$0.75 + 2*$0.25 = $5.75 (she can buy this)
d) 2 chocolate bars, 2 lollipops and 8 gumballs, the price is:
2*$1.50 + 2*$0.75 + 8*$0.25 = $6.50 (she can buy this)
The Scott family stayed at a hotel forn nights. The cost was $80 per night plus a one-time
fee of $20 because they brought their dog. Which expression represents the total cost of
their hotel stay?
a. 80n + 20n
b. 80 + 20n
C. 80n + 20
d. 80 + 20+ n
Answer:
I am not totally sure, but I think the answer is D.
A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. (There are about 1.1 yards in a meter, and 2.54 cmon an inch.)
Answer:
22
5 THOPE I GOT IT RIGHT
Step-by-step explanation:hn
6 minus twice a number
Answer:
6-2x
Step-by-step explanation:
PLEASE HELP
(I'll give you stars)
SEE PHOTO for information on question
Answer:
11638 I think cause maximum is 310
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8