Answer:
160 unit^2.
Step-by-step explanation:
Area = xy/2 where x and y are the length of the diagonals, so here:
Area = (16*20)/2
= 320/2
= 160.
Please help I’ll give brainliest
Answer:
$28.20
Step-by-step explanation:
11 bumper stickers = $10.34
per sticker = $0.94
30 bumper stickers = 30*0.94
=28.20
30 bumper stickers = $28.20
Answer:
$28.20
Step-by-step explanation:
First, find out how much each bumper sticker costs.
Assuming that the cost of each bumper sticker is the same, the following equation represents how much one number sticker costs.
11x = 10.34
Solve for x [divide both sides by 11]
x = 0.94
So, one bumper sticker costs $0.94
Now, find out how many 30 bumper sticker costs.
The following equation represents how much 30 stickers cost.
30x = y
X represents the cost of one sticker and y represents the cost of 30 stickers.
We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.
30[0.94] = y
28.2 = y
So, 30 bumper stickers cost $28.20.
:)
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Given here is a cube, whose one side is increased by a given percentage. The task is to find percentage increase in the volume of the cube. Below is the implementation of the above approach:
CAN SOME ONE HELP ME
Answer:
(a⁴+b⁴)(a²+b²)
Step-by-step explanation:
in the pictures
42 – 7y = -2
12x – 21y = -42
Answer:
Either C or A
Step-by-step explanation:
Hope it help you have a good day
Can anyone give me an answer to this? Help is serverly needed...
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie
Answer:
20
Step-by-step explanation:
In an academic contest correct answers earn 12 points and incorrect answers lose 5 points. In the final round school A starts with 165 points and gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?
Let x = number correct answers
because school a , gives the same correct and wrong answers, their equation can be represented as :
165 - 5x + 12x =
165 + 7x
School b gives no wrong answer. their equation can be represented as
65 + 12x
to fing the number of correct answers given, equate the two equations
165 + 7x = 65 + 12x
collect like terms
165 - 65 = 12x - 7x
100 = 5x
x = 20
Which expression is not equivalent to 8 + (n - 4) ?
The population of Leavetown is 123,000 and is decreasing at a rate of
2.375% each year. What will be the population of Leavetown after 5 years?
A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area
[tex]a - 2 + 5a[/tex]
Answer:
[tex]6a - 2[/tex]
Step-by-step explanation:
[tex]a - 2 + 5a[/tex]
[tex]6a - 2[/tex]
Hope it is helpful...3.
I NEED HELP
Write the slope-intercept form of the equation for the line.
A. y=[tex]-\frac{8}{7} x-\frac{3}{2}[/tex]
B. y=[tex]-\frac{3}{2}x+ \frac{7}{8}[/tex]
C. y=[tex]-\frac{7}{8}x- \frac{3}{2}[/tex]
D. y=[tex]\frac{7}{8}x- \frac{3}{2}[/tex]
Answer:
Step-by-step explanation:
Algebra Examples
Popular Problems Algebra Graph y=7x-8
y
=
7
x
−
8
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
7
y-intercept:
(
0
,
−
8
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
x
y
0
−
8
8
7
0
y=7x-8
How much money would you have if you invested $3000 at 6.25% annual interest, compounded daily for 2 years?
Answer:
[tex]A\simeq3399.41[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
[tex]r = 6.25\% = \frac{6.25\%}{100\%}=0.0625[/tex]
t = 2
n = 365
Then,
[tex]A=3000(1+\frac{0.0625}{365} )^{(365)(2)}\\\\A=3000(1+\frac{0.0625}{365} )^{730}\\\\A=3399.408982\\\\A\simeq3399.41[/tex]
6) x is less than or equal to 7
Which linear function has a y-intercept of -5?
2x+y=-10
x-y=-5
x-3y=15
-x+4y=20
Answer:
It could be =15 or =0
Step-by-step explanation:Multiplying each side of −3x+4y=20
by 2 gives −6x+8y=40
. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15
gives 11y=55,ory=5
. Finally, substituting 5 for y in 6x+3y=15
gives 6x+3(5)=15,orx=0
.
Answer:
x-3y=15 has a y-intercept of -5
Step-by-step explanation:
A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?
Plug in 0 for all the values of x and solve for y.
1. 2(0)+y=-10; y=-10
2. (0)-y=-5; y = 5
3. (0)-3y=15; y = -5
4. -(0)+4y=20; y= 5
Help please!! :)))) Thanks!
It's in the screenshot, please help, there's other questions to if you can help
Charlene owns a bookstore. She purchases used books from customers. • She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. • Charlene pays a customer a total of $199.75 for 149 used books. Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?
Answer: Number of hardback = 32
Number of paperback = 117
Step-by-step explanation:
Let the number of hardback books be represented by x.
Let the number of paperback books be represented by y.
Based on the information given, we can form an equation which will be:
x + y = 149 ......... i
3.50x + 0.75y = 199.75 ...... ii
Multiply equation i by 3.50
Multiply equation ii by 1
3.50x + 3.50y = 521.50 ...... iii
3.50x + 0.75y = 199.75 .....iv
Subtract equation iv from iii
2.75y = 321.75
y = 321.75 / 2.75
y = 117
Number of paperback = 117
Since x + y = 149
x = 149 - y
x = 149 - 117
x = 32
Number of hardback = 32
Let AB = 24, AC = 10 and BC = 26.
a) What is the length of the leg opposite to ∠C?
b) What is the length of the leg adjacent to ∠C?
c) What is sin C?
d) What is cos C?
e) What is tan C?
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
[tex]\frac{opposite}{hypotenuse}[/tex]
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]
d)The trig function cosine is equal to
[tex]\frac{adjacent}{hypotenuse}[/tex]
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]
d)The trig function tangent is equal to
[tex]\frac{opposite}{adjacent}[/tex]
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]
34
Question 6 Multiple Choice Worth i pones)
(03.02 MC)
The vertices of AABC are A (1,5), B (3,9), and C (5,3). The vertices of ADEF are D (-3, 3), E (-2,5), and F (-1. 2). Which conclusion is true about the triangles?
The ratio of their corresponding sides
,
They are congruent by the definition of congruence in terms of rigid motions.
The ratio of their corresponding angles is 1:3.
They are similar by the definition of similarity in terms of a dilation.
Answer:
They are similar by the definition of similarity in terms of a dilation
Step-by-step explanation:
The given vertices of triangle ΔABC are;
A(1, 5), B(3, 9), and C(5, 3)
The vertices of triangle ΔDEF are;
D(-3, 3), E(-2, 5), and F(-1, 2)
Therefore, we get;
The length of segment, [tex]\overline{AB}[/tex] = √((9 - 5)² + (3 - 1)²) = 2·√5
The length of segment, [tex]\overline{BC}[/tex] = √((9 - 3)² + (3 - 5)²) = 2·√10
The length of segment, [tex]\overline{AC}[/tex] = √((5 - 3)² + (1 - 5)²) = 2·√5
The length of segment, [tex]\overline{DE}[/tex] = √((5 - 3)² + (-2 - (-3))²) = √5
The length of segment, [tex]\overline{EF}[/tex] = √((2 - 5)² + (-1 - (-2))²) = √10
The length of segment, [tex]\overline{DF}[/tex] = √((2 - 3)² + (-1 - (-3))²) = √5
∴ [tex]\overline{AB}[/tex]/[tex]\overline{DE}[/tex] = 2·√5/(√5) = 2
[tex]\overline{BC}[/tex]/[tex]\overline{EF}[/tex] = 2·√10/(√10) = 2
[tex]\overline{AC}[/tex]/[tex]\overline{DF}[/tex] = 2·√5/(√5) = 2
The ratio of their corresponding sides are equal and therefore;
ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.
Can someone give me the formula of compound profit?
Answer:
P (1 + r/n)^(nt)
Step-by-step explanation:
Answer:
A = P(1+r/n)nt
(note the r/n is a fraction)
Step-by-step explanation:
I really need help it’s due in 30 min
Answer:
3/4a -1/2a=8-4
1/4a=4
a=4/1/4
=16
Answer:
$16
1/2a=8
a=8*2
a=16
What is the coordinates of the focus for the following parabola -8(x-5)=(y+1)^2
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
How to locate the focus of a parabola
The standard equation of the parabola with an horizontal axis of symmetry is presented below:
[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex] (1)
Where:
h, k - Vertex of the parabola.p - Distance between the vertex and the focus.The coordinates of the focus is described by the following expression:
F(x, y) = (h + p, k)
If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:
F(x, y) = (5 - 2, - 1)
F(x, y) = (3, - 1)
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
To learn more on parabolas: https://brainly.com/question/21685473
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a. 4.5 square 3
b.9
c. 9 square 2
b 9 square 3
For what value of x is the equation 2x−3-x+4=3 true?
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
The equation is true for the value of x = 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is as given below.
2x − 3 - x + 4 = 3
We have to operate the like terms together.
Here 2x and x are like terms and 3 and 4 are like terms.
(2x - x) - 3 + 4 = 3
x - 3 + 4 = 3
x + 1 = 3
Subtracting 1 on both sides,
x = 3 - 1
x = 2
Hence the equation is true for x = 2.
To learn more about Equations Solving, click on the link given below :
https://brainly.com/question/29284073
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Mario has been at bat 22 times this baseball season. Of the times at
bat, he hit the ball 18 times. Determine the decimal of this situation
and determine if the decimal is repeating or terminating.
Answer:
.81 Repeating Decimal
Step-by-step explanation:
I think
Answer:
0.81
Step-by-step explanation:
18 divide by 22 is 0.81
Choose the most appropriate answer.
"HEIGHT(50 inches)," "HEIGHT(50)," and "H(50)"all represent which of the
following?
O
A. The height of an object given a length of 50 inches.
B. The height of an object with area 50 inches.
C. The height of 50 inches.
Answer:
The answer its A:
Step-by-step explanation:
I hope its correct.
Veronica has a box that contains 24 pictures of her family, 6 pictures of her dog, and 12 pictures of her friends. Veronica randomly chooses one picture from the box. Which statement best describes what will likely happen.
A. She will definitely pick a picture of her family
B. She will most likely pick a picture of her family
C. She is equally likely to pick a picture of her family or of her dog
D. She is equally likely to pick a picture of her family, of her dog or of her friends
-plz answer branliest porvided no links
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Please answer ASAP
Answer:
the answer I think your looking for is C
Answer: it’s C
Step-by-step explanation: