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strojnjashka [21]
3 years ago
10

A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The d

iameter of the cylindrical base of the rocket is 8 in and the height of the cylinder is 5 in, while the height of the cone is 3 in. Calculate the surface area of the rocket. Leave your answer in terms of π.
Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2

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Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and
kaheart [24]
<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

<u>For slope:</u>

<u />m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7<u />

Slope (m) = 7

<u>For y-intercept:</u>

<u />5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b<u />

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

y= 7x + 26\\\\y - 5 = 7(x + 3)

Formulas:

Slope formula: <em>y₂ - y₁/x₂ - x₁</em>

Slope-intercept form: <em>y = mx + b</em>

Point-slope form: <em>y - y₁ = m(x - x₁)</em>

<em></em>

*Note: (x₁, y₁), (x₂, y₂) = <em>2 points on the line</em>

6 0
3 years ago
Find 1 2/3 divided by 1 1/9. Write in simplest form.
Alex777 [14]

Answer:

you turn them into improper fractions

5/3 divided by 10/9

You never divide fractions, so you times by the reciprocal

5/3*9/10= 45/30

3/2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me and explain the anwser
natita [175]
ANSWER: y=7 is the equation Of the line that passes to through the point (-2,7) and Has a slope of zero.
8 0
3 years ago
How many elements are in the union of five sets if the sets contain 10,000 elements each, each pair of sets has 1000 common elem
masya89 [10]

Answer:

40951

Step-by-step explanation:

Using the principles of inclusion - Exclusion

Where C(n,r)=n!/(n-r)!r!

Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000

Total Number of elements in each pair including number repetition of sets is given as

=(1000) × C(5, 2) =10000

Number of elements in each triple of sets is given as

=(100) × C(5, 3) =1000

Number of elements in every four sets

=(10) × C(5, 4)=50

Number of elements in every one set

(1) × C(5, 5)=1

Therefore total number of unique elements=50000-10000+1000-50+1

=40951

5 0
3 years ago
Solve the equation 8-2x=-8x+14
Salsk061 [2.6K]

Answer:

x= -3/5

Step-by-step explanation:

6 0
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