a drum has a diameter of 18 in and is 16 in deep find the volume
Answer:
Volume is approximately 4071.5 in³
Step-by-step explanation:
V= πr²h
V=π(9)²(16)
What is the area of a quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12)?
Answer:
Let us consider the quadrilateral ABCD shown below.
Let us consider the quadrilateral ABCD shown below.

In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
In the above quadrilateral, A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) are the vertices.
To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below.

Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.
(x1y2 + x2y3 + x3y4 + x4y1) -----(1)
Add the diagonal products x2y1, x3y2, x4y3 and x1y4 are shown in the dotted arrows.
(x2y1 + x3y2 + x4y3 + x1y4) -----(2)
Subtract (2) from (1) and multiply the difference by 1/2 to get area of the quadrilateral ABCD.
So, area of the quadrilateral ABCD is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
Problem :
Find the area of the quadrilateral whose vertices are
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Solution :
Let A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Plot A, B, C and D in a rough diagram and take them in counter-clockwise order.

Then,
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area of triangle ABC is
= (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So, area of the given quadrilateral is 28 square units.
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Let the quadrilateral be ABCD.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
We need the area of the quadrilateral whose vertices are;
(-4, -2), (-3, -5), (3, -2) and (2, 3)
Let; A(-4, -2), B(-3, -5), C(3, -2) and (2, 3).
Then, we have;
(x1, y1) = (-4, -2)
(x2, y2) = (-3, -5)
(x3, y3) = (3, -2)
(x4, y4) = (2, 3)
Area = (1/2) ⋅ {(x1y2 + x2y3 + x3y4 + x4y1)
- (x2y1 + x3y2 + x4y3 + x1y4)}
= (1/2) x {[20 + 6 + 9 - 4] - [6 - 15 - 4 - 12]}
= (1/2) x {[31] - [-25]}
= (1/2) x {31 + 25}
= (1/2) x 56
= 28
So,
The area of the given quadrilateral with vertices at (1,6),(7,6),(1,12),(7,12) is 28 square units.
Learn more about quadrilaterals here:
https://brainly.com/question/1365755
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You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
4500
Step-by-step explanation:
10000 x .09 x 5
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.
Answer:
W = 450 + 16.83V
Step-by-step explanation:
For 40 hours Carissa
earning = $450
earning for 1 hour of over time = $16.83
multiplying both side by V
earning for v hour of over time = $16.83*V = $16.83V
weekly wage(W) = earning for 40 hours + earning for V hour of over time
W = 450 + 16.83V
Thus equation will be as given below for weekly earning
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-38, -53). Cone X is located at (-38, 53). Cone Y is located at (38, 53). Cone Z is located at (38, -53). What is the perimeter of the field? A. 364 yards B. 8,056 yards C. 182 yards D. 38 yards
Answer:
A. 364 yards
Step-by-step explanation:
The distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] on the coordinate plane is given as:
[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The cone W, X, Y and Z form a rectangle.
The perimeter for the rectangle = 2(length + breadth)
[tex]Length=|WX|=\sqrt{(-38-(-38))^2+(53-(-53))^2}=106 \\\\Breadth=|XY|=\sqrt{(38-(-38))^2+(53-53)^2}=76[/tex]
Perimeter = 2(length + breadth) = 2(106 + 76) = 364 yards
What is the rule for reflecting across the x-axis?
Answer:
See below
Step-by-step explanation:
If we want to reflect across x-axis, we'll change the y-coordinate of the co-ordinate to it's opposite (If it's negative, it will become positive and vice versa) while the x-coordinate will remain the same.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.
Answer:
1) a = 1 ; b = 5 ; c = 0
2) a = 1 ; b = 3 ; c = 10
3) a = -5 ; b = -7 ; c = 2
4) a = 1 ; b = 2 ; c = -9
5) a = -7 ; b = 6 ; c = -1
6) a = 4 ; b = -10 ; c = -7
Step-by-step explanation:
a , b & c are just coefficients of the equation
Answer: [tex]x^{2}[/tex] =5x=0
Step-by-step explanation:
|-10| divided by 2 x |5|
Answer:
1
Step-by-step explanation:
|-10| divided by 2 x |5| would equal 1.
Answer:
1
Step-by-step explanation:
The absolute value of -10 is 10. Divide that by what I'm assuming is 2 times the absolute value of 5 (5) is 10. 10 divided by 10 is 0.
if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer
Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.
Step-by-step explanation:
i guess 60%? it's too vague
2 (x+4) = 2 (x-6) Solve the equation
Answer: x=16 this is the answer without the 2 in the beginning of the equation with the 2 there's no solution
Step-by-step explanation:
3a−1=2a
show work, please
Answer:
a = 1
Step-by-step explanation:
3a - 1 = 2a
3a - 2a - 1 + 1 = 2a - 2a + 1
a = 1
Answer:
Your answer is A = 1
Step-by-step explanation:
You would subtract 3a from 2a
so it would be -1 = 1a
Then divide by 1 and your answer is A= 1
Please help me I've been dying for twelve minutes.
1 goes on the first on -1 goes on the second
- 1/125 goes on the last one and -125 the third one
Is the following a function?
Answer:
yes
Step-by-step explanation:
you can times them all by 3
BRAINLIEST PLEASE
Comparing Functions
How much money will Bob in December have if his bank account growth stays at the same rate?
Month Bank-Acc
|
January | $5,000
February $6,700
March $8,400
April $10,100
May $11,800
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2 or 1.5
Step-by-step explanation:
[tex]slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5[/tex]
Write an equation in point-slope form for the line through the given point with the given slope
(8,-3);m= -1/4
Answer: y+3= -1/4(x-8)
Step-by-step explanation: so if y-y1=m(x-x1) and y1= -3 and x1=8 and m=(-1/4) u just plug in those number to the equation
Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line
Answer:
y = -3x - 2
Step-by-step explanation:
Given the coordinates (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.
The standard form of the equation is expressed as;
y = mx+c
m is the slope
m = y2-y1/x2-x1
m = 1-4/-1+2
m = -3/1
m = -3
get the y-intercept c;
Substitute m = -3 and any point say (-1,1) into the equation y = mx+c
1 = -3(-1) + c
1 = 3 + c
c = 1-3
c = -2
Get the required equation;
y = mx+c
y = -3x + (-2)
y = -3x - 2
What number is 7.2% of 35?
Answer:
2.52
Step-by-step explanation:
35 x 7.2 = 2.52 :D
Based on the table,
what is the best
prediction of the
number of clicks on
the advertisement if
1,500 people visit the
website?
F. 7
G. 137
H. 83
J. 105
PLEASE HELP
ILL GIVE YOU BRAINIEST
The linear relation is y = 0.049x + 8.606 then the value of y is 83. Then the correct option is H.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The linear relation is given as
[tex]\rm y - 63 = \dfrac{63-60}{1106-1045} (x - 1106)\\\\y = 0.049x+8.606[/tex]
For x = 1500, then the value of y will be
[tex]\rm y = 0.049\times 1500+8.606\\\\y = 82.37 \approx 83[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
Gavin works as a salesperson at an electronics store and sells phones and
phone accessories. Gavin earns a $12 commission for every phone he sells
and a $3.50 commission for every accessory he sells. On a given day, Gavin
made a total of $135 in commission and sold 12 more accessories than
phones. Determine the number of phones sold and the number of accessories
sold.
Answer: Hence, there are 6 phones and 18 accessories sold.
Since we have given that
Let number of phones sold be 'x'
Let number of accessories sold be 'y'.
Commission for every phone = $12
Commission for every accessory = $3.50
Total commission = $135
And Difference between accessories and phones sold = 12
According to question, we get that
Using both the equations, we get that
x=6 and y = 18
please help me
I don't answer this
I'll give brilliance
Answer:
2 oz.
Step-by-step explanation:
2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg
can someone help me on this
Answer:
A. The balloon rises 1 mile every 1/5 minute.
Step-by-step explanation:
1. Height = 1/5Time
2. For every mile risen, it takes 1/5 Minutes.
or if its easier to understand the other way around
For every 1/5 minutes, the balloon rises 1 mile
I hope my answer is correct and that you get a good grade!
Billy has a gift card with a $160 balance. He buys several video games that cost $40 each. After the purchases, his gift card balance is $40. Enter an equation to help find out how many video games Billy bought.
Answer:
160÷3=40
Step-by-step explanation:
that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr
Which fraction is represented by point A on the number line?
Which statement is true?
Question 9 options:
A)
|–45| = 45 and |–96| = 96.
B)
–|–45| = 45 and –|–96| = –96.
C)
|–45| = 45 and |–96| = –96.
D)
|–45| = –45 and |–96| = –96.
Answer:
d can be right answer....
Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.
Answer:
Results are below.
Step-by-step explanation:
First, we need to establish the decrease function in the given population:
FV= PV/(1+g)^n
FV= future value
PV= present value
g= decrease rate
n= number of periods
Now, for the given information:
PV= 330
g= 22% = 0.22
n= 5 years
FV= 330 / (1.22)^5
FV= 122
25 POINTS AND BRAINLIEST!! Clay wants to ride a Ferris wheel that has a radius of 80 feet and is suspended 9 feet above the ground. The wheel makes 6 revolutions in one minute. Find the period and amplitude.
Answer:
Step-by-step explanation:
Linear velocity and angular velocity are related by the formula:
v = ωr
ω = n2πr/t, where n is the number of rotations, t is the time taken, r is the radius.
ω = 2 x 2π x 25/1
ω = 100π
v = 100π x 25
= 2500π feet per minute
what is 5 1/3 as an improper fraction??
Answer:
5/3
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
Name the property that proves these triangles are congruent
Answer:
SAS or Side-Angle-Side
Step-by-step explanation:
Solve for x.And please show me how u got the answer
9
12
4x - 2)
3x + 2
Answer: -7
Step-by-step explanation:
3x + 2 + 12 = 4x -2 + 9
3x + 14 = 4x + 7
-4x -14 -4x -14
-1x = 7
x= -7