Answer:
D
Step-by-step explanation:
The horizontal cross-sections of the prisms which is at same height as the cone should have same area.
Therefore Option D is the answer.
What is a Cone ?A cone is a three dimensional figure that has a circular horizontal structure , and vertically tapering up till a point.
It is given that
A Pyramid and a cone both have same volume.
Height of cone is same as Height of Pyramid .
Volume of cone = (1/3)πr²h
Volume of a pyramid = Area of base * h
When both the volume are equated
as height is same
The Area of the base of the cone = Area of the base of the Pyramid
The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.
Therefore Option D is the answer.
To know more about Cone
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Given: sintheta=5/13
Find sin: 2theta
Answer:
sin 2θ=120/169
Step-by-step explanation:
use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
How do you find the area of pentagons like this?
Answer:
Hi answer: 41What I do for these is do the shapes separately and use the appropriate formulas! Then add them Up! So the easiest is the rectangle that would be 5 × 4 = 20 then the triangles would be 5 x 1 = 5 then ÷ by 2 = 2.5 but since there are two of those triangles we just multiply by 2 again so 2.5 × 2 = 5 for the last two triangles at the top it would be 4 × 4 = 16 then ÷ by 2 = 8 but since theres 2 triangles multiply by 2 so 8 × 2 = 16 now we add all of these numbers up so 20 + 5 + 16 = 41 Hope that helps!
A dime is dropped from a building at a
height of 1,024 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the dime to
hit the ground?
[?] seconds
Answer:
8 seconds
Step-by-step explanation:
Given :
h(t) = -16t2 + initial height
Initial height = 1024 feets
By the time it hits the ground, h(t) = 0
Equation becomes :
0 = - 16t² + 1024
Solve for t
-16t² = 1024
t² = 1024 / -16
t² = 64
t = √64
t = 8
Hence, it will take 8 seconds
Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%
The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?
What is the perimeter of the kite?
a.44
b.140
Answer:
B.) 140 is your answer for your problem
what value of x makes 8x - 20 equals to 44?
Answer:
x = 8
Step-by-step explanation:
8x - 20 = 44
8x - 20 + 20 = 44 + 20
8x = 64
8x ÷ 8 = 64 ÷ 8
x = 8
Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?
Answer:
Rs.22000
Step-by-step explanation:
Given data
Naveen earns Rs 55,000 per month
He spends 3/5 of his income every month
Let us find the amount he spends
=3/5*55,000
=165000/5
=Rs.33000
Hence the savings is
= 55,000-33000
=Rs.22000
If purple paint is sold by the gallon. How many gallons will we need to buy?
Answer:
what?
Step-by-step explanation:
Answer:
However much gallons of purple paint you need
Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3
Answer: -4=0
Step-by-step explanation:
Please help this is due, not sure if I did this right. Triangle ABC is shown below with vertices A (7,4), B(1,1), and C(9,0). Find the area and perimeter of the triangle.
i think u did it right
Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)
(c) 7
7×(12 + 5) = (7×12) + (7× 5)
Explanation:
Distributive property say that multiplication an division can be distributed over parenthesis.
a x (b+c) = a x b + a x c
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Kyle and Leah both work in the evenings. Leah
has every fourth evening off and Kyle has
every third evening off. They were both off
on March 3. When in March are they both off
again?
Answer:
The awnser is March 15th because every 12 days they are off at the same time
Step-by-step explanation:
BRAINLIEST PLEASEThe deposit on one can is $0.05, what is the deposit on 23 cans?
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
URGENT!!
The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.
Answer:
13, 31
Step-by-step explanation:
Set the width as x.
Length: 2x + 5
Perimeter:
(x) + (2x + 5) + (x) + (2x + 5) = 88
Simplify.
6x + 10 = 88
Solve.
6x = 78
x = 13
Substitute this into the previous equations
Width: 13
Length: 31
Answer:
The length is 31m and the width is 13m.
Step-by-step explanation:
Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:
88 = 2(2w +5) + 2w
Then simplify by combining like terms and solve for the width (w).
88 = 6w + 10
78 = 6w
13 = w
Now that we have the width, we can plug it back into the equation we made for the length.
l = 2w + 5
l = 2(13) + 5
l = 26 + 5
l = 31
I hope this could help!
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
YA'LL LOOK
https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz
whats the square root of 81
Answer:
Square root of 81 is 9
Step-by-step explanation:
"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
Answer:
Step-by-step explanation:
Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
You are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
help me solve this please
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
pls help fast fast fast!!!
Answer:
Jesse can pack 18 books.
Step-by-step explanation:
2.4*18=43.2+5.7==48.9
you cant fit more than fifty becaue 48.9+2.4=51.3, thus 18 is your answer
Anishaa has read 125 pages of a 405 page book. She reads 20 pages each day. Write an equation that represents how long it will take her to finish reading this book.
Answer:
Time it would take her to finish the book = 280 / 20
Step-by-step explanation:
Time it would take her to finish the book = amount of pages left / how many pages she reads in a day
amount of pages left = 405 - 125 = 280
pages she reads in a day = 20
280 / 20
What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches
Answer:
11x11 inches
Step-by-step explanation:
You are missing the first part of the problem, which is the following:
"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"
With this in mind, we just need to solve the equation and determine the value of x. The equation is:
(x - 3)² = 64
Solving this, we have:
x - 3 = √64
x - 3 = 8
x = 8 + 3
x = 11Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.
Hope this helps
Answer:
11x11
Step-by-step explanation:
find the quotient of 45÷ 5
The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question
Answer:
IT IS FALSE
Step-by-step explanation:
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
Find the surface area and volume of the pyramid.
Given:
The figure of a square base pyramid.
To find:
The area of volume of the pyramid.
Solution:
The area of square base is:
[tex]B=(side)^2[/tex]
[tex]B=(16)^2[/tex]
[tex]B=256[/tex]
Area of one triangular side of the pyramid is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]
[tex]A_1=104[/tex]
Now, the total surface area of the pyramid is:
[tex]A=B+4A_1[/tex]
[tex]A=256+4(104)[/tex]
[tex]A=256+416[/tex]
[tex]A=672[/tex]
Therefore, the surface area of the pyramid is 672 square m.
The volume of the pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the vertical height of the pyramid.
Substituting [tex]B=256,\ h=6[/tex], we get
[tex]V=\dfrac{1}{3}(256)(h)[/tex]
[tex]V=(256)(2)[/tex]
[tex]V=512[/tex]
Therefore, the volume of the pyramid is 512 cubic meters.
Hence the correct option is d.
7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,
Answer:
√17 units
Step-by-step explanation:
(6, 8) & (7, 4)
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Plug in the values you know.
[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(1) + (16) }[/tex]
Add.
[tex]d = \sqrt{(17)[/tex]
Evaluate the square root.
[tex]d=\sqrt{17}[/tex]
This square root is already fully simplified.
Your answer is √17 units.
Hope this helps!