6) x is less than or equal to 7
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
Is a trapezoid always a quadrilateral?
yes
no
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
To calculate the sale price of the sweater, we need to use the following formula:
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
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.
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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
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
3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answer:
Part A
1.5 seconds
Part B
By substitution and factorization because h = 0 at ground level
Step-by-step explanation:
Part A
The height from which the soccer player heads the ball, h = 6 feet
The initial velocity of the ball, v = 20 ft./s
The height of the ball in feet, h = -16·t² + 20·t + 6
From the given equation of the ball, we have;
At the initial height, t = 0, from the given equation, h = 6
At the ground level, the height, h = 0, therefore, we get;
0 = -16·t² + 20·t + 6
Factorizing using a graphing calculator gives;
0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)
∴ (2·t -3)·(4·t + 1) = 0
t = 1.5 or t = -1/4 = -0.25
Therefore;
The time it takes the ball to hit the ground, t = 1.5 seconds.
Part B
The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.
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:
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?
Which is the graph of y = cos(x) + 3?
1
N
0
Answer:N
Step-by-step explanation:
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)
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[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...a. 4.5 square 3
b.9
c. 9 square 2
b 9 square 3
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
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.
42 – 7y = -2
12x – 21y = -42
Answer:
Either C or A
Step-by-step explanation:
Hope it help you have a good day
It's in the screenshot, please help, there's other questions to if you can help
PLEASE HELP ME! I need this for a grade.
Can anyone give me an answer to this? Help is serverly needed...
please help and show work
Answer:
?
Step-by-step explanation:
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
-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
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.
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:
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.
:)
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]
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
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?
Which expression is not equivalent to 8 + (n - 4) ?