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Blizzard [7]
2 years ago
7

HELPP! ASAP PLS!! Find the surface area of the composite solid. Leave your answer in exact terms.

Mathematics
1 answer:
Andreyy892 years ago
3 0

Answer:

Step-by-step explanation:

First find the surface area of the clyinder and find the area circles and subtract

Then find the surface area of a cone, remove the circle area and double it.

Clyinder surface area (without circle area) 2πrh+2πr2=2·π·4·6+2·π·42≈251.32741

251.32741 - 50.2 - 50.2

Cone area: A=πr(r+h2+r2)=π·4·(4+32+42)≈113.09734

113.09734 - 50.2 - 50.2

Total: 12.69734 + 150.92741 = 163.62475

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Solve the system of equations algebraically. Verify your
xz_007 [3.2K]

Answer:

The solution is the point (0.5,-3)

Step-by-step explanation:

we have

y=4x-5 ----> equation A

y=-3 ----> equation B

Solve the system by substitution

Substitute equation B in equation A

-3=4x-5

Solve for x

Adds 5 both sides

-3+5=4x

2=4x

Divide by 4 both sides

x=0.5

therefore

The solution is the point (0.5,-3)

<em>Verify your  answer using the graph</em>

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure

8 0
3 years ago
Read 2 more answers
Can anyone help me about question 2
madreJ [45]

9514 1404 393

Answer:

  3(4/3)^2543

Step-by-step explanation:

Using logarithms base 2, we have ...

  (a_n)^{\log{a_n}}=(a_{n+1})^{\log{a_{n-1}}}\\\\(\log{a_n})(\log{a_n}) = (\log{a_{n-1}})(\log{a_{n+1}}) \\\\ \dfrac{\log{a_{n+1}}}{\log{a_{n}}}=\dfrac{\log{a_n}}{\log{a_{n-1}}}=\dots\dfrac{\log_2{16}}{\log_2{8}}=\dfrac{4}{3}

That is, the ratio of each term to the previous is a constant equal to 4/3. This is the definition of a geometric sequence. This sequence has first term 3 and common ratio 4/3, so the general term is ...

  \log_2 a_n=3\left(\dfrac{4}{3}\right)^{n-1}

and the 2544th term is ...

  \boxed{\log_2{a_{2544}}=3\left(\dfrac{4}{3}\right)^{2543}}

8 0
3 years ago
The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv
Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

y = \frac{-A}{B}x +\frac{C}{B}

which is in the form of y = mx +c

where m is the slope of the line and c is y intercept made by the line.

comparing  y = \frac{-A}{B}x +\frac{C}{B} and  y = mx +c

we get that \frac{-A}{B} =m and \frac{-C}{B} = c

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore  \frac{-A}{B} =-7 and \frac{-C}{B} = 0

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

3 0
3 years ago
Problem page the sum of two numbers is 56 . one number is 3 times as large as the other. what are the numbers?
LenaWriter [7]
<span>x + y = 56
x = 4y
---
4y + y = 56
5y = 56
y = 10.4
x = 41.6</span>
7 0
3 years ago
What is the slope of the line represented by the equation 4x 5y = 10?
Tresset [83]
Im not sure how to do it because you don't have a plus or minus sign. add that and then i will show you.
8 0
3 years ago
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