Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:
A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.
Read the question and enter your response in the box prc
How do you write an equivalent expression -1/4(-8x+12y
the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
Answer:
Width: 11.5 inches; Length: 16.5 inches
Step-by-step explanation:
Let l=length and w=width
l=w+5
2(w+5)+2w=56
4w=46
w=11.5, l=16.5
Answer:
Length = 16.5 inchesWidth = 11.5 inches⠀
Step-by-step explanation :
⠀
As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,
⠀
Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .
⠀
Now, According to the Question :
⠀
[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]
⠀
Therefore,
The width of the rectangle is 11.5 inches .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]
⠀
Therefore,
The length of the rectangle is 16.5 inches .⠀
Question 1
Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
How to determine the function (fg)(x)?The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
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The regular price of a color TV is $539.22. During a sale, Hill TV is selling the TV for $456.56. Determine the percent decrease in the price of the TV
Hey there!
Answer: = 15.3296% decrease
How to Calculate Percentage Decrease
Subtract starting value minus final value=> 539.22 - 456.56
=> 79.66
Divide that amount by the absolute value of the starting value=> 79.66 ÷ 539.22
=> 0.153296
Multiply by 100 to get percent decrease=> 0.153296 × 100
=> 15.3296%
If the percentage is negative, it means there was an increase and not an decrease.
Therefore, percentage decrease is 15.3%
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
[tex]s = 5000(1.07) {}^{t} [/tex]
[tex]s = 5000(1.07) {}^{10} [/tex]
[tex]s = 5000(1.96715)[/tex]
[tex]s = 9835.756 \: dollars[/tex]
Can i have help on #3 and #2? Thanks<3
Answer:
I don't know if these are right
2.756
3. 1,426.42
The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)
Answer:
the answer is answer nice answer my answer
Step-by-step explanation:
if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer
Find x in circle O (The figure is not drawn to scale)
Answer:
20.5 degrees
Step-by-step explanation:
So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.
So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.
Now that center line is the diameter, which means it is 180 degrees
So you can find the angle of line OA and OB:
180 - 41 = 139
Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.
This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:
180-139 = 41
And then divide by two to find the remaining two angles:
41/2 = 20.5
and that is x :)
I need help ASAP, first one to get it correct gets 100 points.
Answer:
3D shape = cone
height = 3 units
diameter = 6 units
Step-by-step explanation:
3D shape = cone
height = 5 - 2 = 3 units
radius = 0 - (-3) = 3 units
diameter = 2 × radius = 2 × 3 = 6 units
Pls help me i will give the crown thing
Question 4 Part B (2 points): Drag and
drop the units of measurement that
correctly represent the composite
function you created in part A. Click on
the image to refer back to Part A.
The composite function for part a was 20d-(80) = 67
Answer:
Given function:
t(s) = 3s + 20
where:
t(s) = number of palm trees growns = number of seeds plantedGiven function:
s(d) = 20d
where:
s(d) = number of seeds planted per dayd = number of daysTo determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:
⇒ t(d) = 3(20d) + 20
⇒ t(d) = 60d + 20
The unit of measurement is how many palm trees Carlos can expect to grow over a certain number of days:
[tex]\sf \dfrac{palm \ trees}{days}[/tex]
(11x-5) degrees + (6x+5) degrees
Answer:
Answer: x = 10 degrees.
Step-by-step explanation:
how many cubic inches of hot air would be needed to completely inflate a 12 in diameter beach ball
Answer:
904.78 cubic inches
Step-by-step explanation:
Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.
Hopefully this helps- let me know if you have any questions!
This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism? Enter your answer in the box.
Answer:
El area del trapecio mresponde a la relación
A = 1/2(B + b)*h
B = base mayor
b = bas menor
h = altura
En el caso en esrudio
250 = 1/2(B + 20)*10
2*250/10 = B + 20
50 = B + 20
50 - 20 = B
B = 30
BASE MAYOR = 30 PIES
Tuesday
Sharon gets paid every other week.
She worked 19.5 hours one week and
20 hours the other week. How much
did she get paid, if she makes $9.25
per hour?
Answer:
$365.37
Step-by-step explanation:
add the hours up which is 20+19.5=39.5
then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37
The following refers to a purchase of a machine by a company on January 1, 2016
Salvage Value: $7,500
Life: 6 years
Desired Rate of Return 4%
Interest Compounded: semi-annually
The maximum amount the company can pay is $32,348
What is the semi-annual net cash flow the company must achieve in order for the purchase to be made?
The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.
How to calculate the cash flow?Number of period = 6 × 2 = 12
Rate = 4% / 2 = 2%
Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0
Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885
Annual cash flow × 10.5753 = $32348 - $5914
Annual cash flow × 10.5753 = $26434
Annual cash flow = 26434/10.5753
Annual cash flow = $2500
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Question 7 of 11
Two angles in a triangle have measures of 13' and 65.
What is the measure of the third angle?
A 52
B. 102
C. 78
D. 143
SUBMIT
Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.
[tex]f(x)=x\sqrt{x+8}[/tex]
Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.
What is the change in temperature from 2:00 PM to 10:00 PM?
Answer:
To figure out the change, we subtract the original temperature by the following after temperature.
18°F - original
-9°F - subsequent time after original
So we set up the equation;
18°F - (-9°F)
(Two negatives combine to form a positive)
18°F + 9°F
= 27°F was the change in temperature.
The change in temperature from 2:00 PM to 10:00 PM is -27° F.
What is Temperature?Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.
Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.
Temperature is usually measured in degree Celsius or degree Fahreheit.
Temperature at 2:00 PM = 18° F
Temperature at 10:00 PM = -9° F
Change in temperature = Final temperature - Initial temperature
= -9° F - 18° F
= -27° F
Hence, the change in temperature can be calculated as -27° F.
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The fixed costs of a pizza shop are $24,000 a month. The pizza shop charges $8 per pizza and the variable cost to make each pizza is $3. How many pizzas does the company need to sell per month to break even?
What would the break even point be if the fixed and variable costs remained the same, but you increased the price of each pizza to $9?
Answer:
24x8+3+9=$44,839 a month
Step-by-step explanation:
What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?
(x + 7)2 + (y + 5)2 = 16
(x − 7)2 + (y − 5)2 = 16
(x + 7)2 + (y − 5)2 = 16
(x − 7)2 + (y + 5)2 = 16
Answer:
(x − 7)2 + (y − 5)2 = 16Step-by-step explanation:
The given circle has equation
[tex] \sf \: x^2+y^2=16x[/tex]
The equation of a circle with center (h,k) and radius r units is
[tex] \sf(x-h)^2+(y-k)^2=r^2(x−h) [/tex]
[tex] \sf(x-7)^2+(y-5)^2=4^2(x−7)[/tex]
[tex] \sf(x-7)^2+(y-5)^2=16(x−7) [/tex]
❖ Tip❖ :-This is the equation that has its center at the origin with radius 4 units.
When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).
Mary borrows $5,000 dollars from her mother at a 3% simple interest rate and pays her $600 in interest after years. What is the value of ?
2
3
4
5
Answer:
4 years
Explanation:
[tex]\sf simple \ interest :\dfrac{P * R *T}{100}[/tex]
[tex]\hookrightarrow \sf \dfrac{5000*3*t}{100} = 600[/tex]
[tex]\hookrightarrow \sf {15000*t} = 600(100)[/tex]
[tex]\hookrightarrow \sf t = \dfrac{60000}{15000}[/tex]
[tex]\hookrightarrow \sf t = 4[/tex]
Answer:
The time will be 4 years .
Step-by-step explanation:
Given :
Simple Interest = $600
Principle = $5,000
Rate = 3%
Time = ?
Formula for Simple Interest = P×R×T / 100
=> 5,000 × 3 × T / 100 = 600
=> T = 60,000 / 5,000×3
=> T = 60,000/15000
=> T = 4 years
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
Please help me .................
that is correct
Step-by-step explanation:
Find all the factors of 12.
A) 2, 3, 4, 6
B) 2, 3, 4, 6, 12
C) 1, 2, 3, 4, 6, 12
Answer:
1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or each of those is a counting number that can be multiplied by another counting number to make 12).
Step-by-step explanation:
hope this helps.
Which is the net of this solid?
O
Which is the net of this solid?
Answer:
I think the A is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
PLEASE please please please please please please I need it Badly
A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.
The area of the scale drawing given the scale of the square is 64cm^2.
What is the area of the scale drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Dimensions of the scale drawing = original dimensions / scale of the drawing
16 cm / 2 = 8cm
Area = 8 x 8 = 64cm^2
A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.
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.
Find the 20th item of the following sequence. -6, -4, -2, 0, ...
Answer: 32.
Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:
-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.
Let me know if this is right! :)
Which equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2h equatWhich equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2ion represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2
Answer:
(c) f(x) = 500(5^x)
Step-by-step explanation:
An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.
__
Examine the ChoicesYou are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.
f(x) = 100(5)^x ⇒ f(0) = 100·1 = 100 ≠ 500
f(x) = 100(x^5) . . . not an exponential function
f(x) = 500(5)^x ⇒ f(0) = 500·1 = 500 . . . . . the function you're seeking
f(x) = 500(x^2) . . . not an exponential function
Answer:
a
Step-by-step explanation:
Which angles are alternate interior angles?
Answer:
Step-by-step explanation:
∠DEH=∠IHE (alternate angles)
You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.