Answer:
Volume = 9900 ft2
Step-by-step explanation:
To find the volume of the pool, we can use the base as the trapezoid, and then we need to calculate the base area and multiply by the height.
The trapezoid has a bigger base of 8 and a smaller base of 3, with a height of 60, so the area is:
Area = (8+3)*60/2 = 330 ft2
Now, to find the volume, we just need to multiply the base area by the height of 30 feet:
Volume = Area * Height = 330 * 30 = 9900 ft2
Serena bought 4 packs of pencils and 12 notebooks
for fall semester which cost her $60.00. She then
bought 14 packs of pencils and 7 notebooks for
spring semester which cost her $70.00. How much
did each pack of pencils and each notebook cost?
Answer:
6
Step-by-step explanation:
that is what it said the correct answer was
Answer: pencil (x) = 3.00, notebook (y) = 4.00
Step-by-step explanation:
Let pencils be denoted using 'x', and notebooks 'y'.
4x+12y = 60, 14x+7y=70
Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.
7(4x+12y = 60) => 28x+84y=420
2(14x+7y=70) => 28x+14y=140
Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280
Dividing either side of the equation by 70, we get y=4.
If we substitute (plug in) y=4 for the first equation we get x=3
how to simplify y- 3/3 +12
Answer:
11+y
Step-by-step explanation:
3/3 evaluates to 1
Y-3/3 evaluates to y-1
So the answer is y-1
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
$857.58 is the price of car after 4 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Dan buys a car for £900.
It depreciates at a rate of 1.2% per year
We need to find the cost of car after 4 years.
1.2/100=0.012
Now multiply 0.012 with 900
10.8
So for first year it will be 900-10.8=889.2
0.012×889.2
10.67
For second year 889.2-10.67=878.53
0.012×878.53=10.54
For third year 878.53-10.54=867.99
0.012×867.99=10.41
For fourth year 867.99-10.41=857.58
Hence, after 4 years the price of car will be 857.58.
To learn more on Percentage click:
https://brainly.com/question/28269290
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Which of the following functions is graphed below?
Answer:
idk man if you want to add a picture click the paperclip thingy though
HELP PLEASEE,
What is the value of X in the triangle?
Answer:
this is the answer
hope it help you
PLS HELP ASAP!!!!!
(Classify △LMN. Choose 2 answers).
Ans : A and F
Step-by-step explanation:
Answer:
As shown in picture:
Triangle LMN has 3 angles which are smaller than 90
=> Acute triangle (option C)
Triangle LMN has 2 sides which are equal in length (LM and LN)
=> Isosceles triangle (Option F)
Hope this helps!
:)
How many kilograms are equivalent to 5 pounds
Answer:
approximately 2.26796
Step-by-step explanation:
this is bc 1kg is 2.205 lb. so 5 divided by 2.205
If you invest $1,000 at the age of 15 and it earns 9% annually, what will the
original investment be worth at the age of 62? *
Answer:
4230
Step-by-step explanation:
I=PRT
I=1000*9/100*62-15
I=1000*9/100*47
I=4230
the total surface area of a cube is 294cm2
Work out the volume of the cube.
Answer:
343cm³
Step-by-step explanation:
294:6=49
square root of 49=7
7³= 343cm³
complete the table of values fory=2x^2+x
Complete question:
y = 2x² + 2x - 3
x = -2 -1 0 1 2
Answer:
Complete table of values
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
Step-by-step explanation:
Given;
y = 2x² + 2x - 3
To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.
when, x = -2
y = 2(-2)² + 2(-2) - 3
y = 8 - 4 - 3
y = 1
when x = -1
y = 2(-1)² + 2(-1) - 3
y = 2 - 2 - 3
y = -3
when x = 0
y = 2(0)² + 2(0) - 3
y = 0 - 0 - 3
y = -3
when x = 1
y = 2(1)² + 2(1) - 3
y = 2 + 2 - 3
y = 1
when x = 2
y = 2(2)² + 2(2) - 3
y = 8 + 4 - 3
y = 9
Complete table
x: -2 -1 0 1 2
y: 1 -3 -3 1 9
x + 12.2 = 42.33
Please solve for x
☺ Please Mark Brainliest ☺
Answer:
x=30.13
Step-by-step explanation:
x + 12.2 = 42.33
-12.2 = -12.2
----------------------
x=30.13
Answer:
x=30.13
Step-by-step explanation:
i think idrk i put in my calculator and got this
wanna make me brainliest
If the size of a scale drawing is 50 x 36 cm and the scale factor is 5:1 what is the size of the actual object?
Answer:
50*30=1500
Step-by-step explanation:
What is the volume of a sphere whose radius is 6 yards?
Answer:
[tex] 904.32 \: {yard}^{3} [/tex]
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]
Find the simple interest on 500 at 6% for 1 year
Answer:
Interest = $30
Step-by-step explanation:
Formula:
I = prt or I = p · r · t
So:
I = p r t
I = ($500)(.06)(1) <--- Just multiply all of these numbers and you get the final answer of:
Interest = $30.00 or just $30
A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.
Express the area of the entire rectangle.
Answer:
[tex]7x^{2}-4x[/tex]
Step-by-step explanation:
Area of a rectangle is expressed as Length * Width
Given the length/height = x
width = 7x-4
Area of the rectangle = [tex]x(7x-4)[/tex]
On opening the bracket;
Area of the rectangle = [tex]7x^{2}-4x[/tex]
Please Help me solve it. Thanks in Advance!
Answer:
27π
Step-by-step explanation:
First, find the area as though the circle were complete.
A = πr²
A = π(6)²
A = 36π
Now, if you look at the diagram, you can see that the chunk missing forms a 90 degree angle. In a circle, there is 360 degrees in total. This means that only 3/4 of the circle is left. Multiply the area by 3/4.
36π × 3/4 = 27π
The area is 27π.
What is the area of the shaded region
Answer:
A≈28.27
Step-by-step explanation:
Solved for area
Shape: circle
Radius: 3cm
Formula: A=πr2
Answer: A≈28.27
Hope this helps.
Help me I’m begging you please
Answer:
Air pressure = [tex]4.6\frac{\text{lb}}{\text{in}^{2} }[/tex]
Step-by-step explanation:
Relationship between air pressure and altitude can be modeled by,
P = 14.7e[tex]14.7e^{-0.00004h}[/tex]
Where P = Air pressure
and h = altitude above the sea level
Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,
P = [tex]14.7e^{-0.00004\times 29028}[/tex]
= [tex]14.7\times e^{-1.16112}[/tex]
= 4.603
≈ 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
Therefore, air pressure on Mount Everest = 4.6 [tex]\frac{\text{lb}}{\text{in}^{2} }[/tex]
A fertilizer covers 2 3 square foot in 1 4 hour. The unit rate is square feet per hour.
23/14=1.6 square feet per hour
गुणोत्तर अनुक्रम र श्रेणी (GEOMETIC SEQUENCE & SERIES)
12A. एउटा गुणोत्तर श्रेणीको तेस्रो र छैटौँ पदहरू 1 : 8 को अनुपातमा छन् । यदि आठौं पद 384 भए सो श्रेणीको पाचौं पद पत्ता लगाउनुहोस् ।
The third and sixth terms of a geometric series are in the ratio of 1 : 8. If eighth term of the series is 384
then find the fifth term.
Answer:
i think its 34
Step-by-step explanation:
Solve using synthetic division.
(x2 + 3) ÷ (x − 1)
Answer:
2x+3 / x = 1
Step-by-step explanation:
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes?
Complete question:
The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes? Hamid's soccer game time is 7:00 to 9:15
Answer:
2 more games can be played before the park closes.
Step-by-step explanation:
Given that Hamid's soccer game time is from 7:00 to 9:15 and there's a 15 minute break between games played, the next game time would be: 9:15 + 15 = 9:30
The time for each game would be calculated as:
stop time - start time = 9:15 - 7:00 = 2:15.
Thus, each game time = 2hrs 15mins
The next game time would be:
9:30 + 2:15 = 11:45
This means the next game would be from 9:30 to 11:45
After this, there would be another game(a second extra game) since the park closes at 2:30PM.
Therefore, the next game time would be:
11:45 + 15 mins break = 12:00
The game duration =
12:00 + 2hrs 15 mins = 14:15 or 2:15PM
Considering the fact that the park closes by 2:30 PM, 2 more games will be played.
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
correct answer.
Consider the two similar cylinders. The heights of both cylinders are given, along with the diameter of the smaller cylinder. What is the diameter
of the larger cylinder?
48 in
32 in
12 in
Figures not drawn to scale
А
28 inches
B
20 inches
18 inches
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
[tex]\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches[/tex]
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
There are 250 freshman at Central High School. You survey 50 randomly selected freshmen and find that 35 plan to go to the school party on Friday. How many freshmen are likely to be at the party?
I think the answer is 175.
Hopefully this helps.
CAN SOMEONE PLZ HELP ME
Answer:
the first one
4*10^12
Step-by-step explanation:
Answer:
4000000000
Step-by-step explanation:
(600000000) / (0.00015)
4000000000
4*10^12
referring to the table below, are the events is female and owns a dog independent?
Answer:
No
Step-by-step explanation:
They are independent iff:
P(F & D) = P(F) × P(D)
15.278/100 = (55/100) × (27.778/100)
0.15278 = 0.125279 (false)
Therefore, not independent
what is the value of 4x+3y
Answer: 25
Step-by-step explanation:
(4)(4)+(3)(3)
Given the function
Calculate the following values
Answer: 1. F(-1)= 8(-1)-8
2. F(0)= 8(0)-8
3 F(2)= 8(2)-16
Step-by-step explanation:
i think i got some wrong i haven't these math [problem in a long time
Given the function g(x) = 7x - 14 find its inverse function.
Answer:
The inverse is 1/7x +2
Step-by-step explanation:
y = 7x - 14
Exchange x and y
x = 7y-14
Solve for y
Add 14 to each side
x+14 = 7y-14+14
x+14 = 7y
Divide each side by 7
(x+14)/7 = 7y/7
1/7x +2 = y
The inverse is 1/7x +2
Answer:
g^-1(x)=x/7+2
Step-by-step explanation:
y=7x-14
7y-14=x
7y=x+14
y=1/7x+2
g^-1(x)=x/7+2