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2 years ago

Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for Tr.)

Mathematics

1 answer:

USPshnik [31]2 years ago

4 0

The first composite shape we would need to find is the rectangle. We would use the formula length multiplied by width. The second composite shape is a hemisphere. The area of a hemisphere is Pi multiplied by the radius squared and then divide it by 2. To find the area of both of these figures, add up the area for each one and then you will get the
area of both.

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Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

Sunny_sXe [5.5K]

There's more ways than one to solve this, just as there's more ways than one to skin a cat.

Two paralle lines have the same slope, so the desired new line looks exactly like the given line 3x + 5y = 6, except that the constant, 6, is replaced by another value.

Write out 3x + 5y = c
Replace x with 0 and y with 3. Then 3(0) + 5(3) = c, and c = 15.

Thus, the equation of the new, parallel, line is 3x + 5y = 15.

7 0

3 years ago

Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (6,2), (negative 2,negative 4

marin [14]

Answer:

(2,-1)

Step-by-step explanation:

A graph is useful here. Points X and Y have coordinate differences of ...

X -Y = (6, 2) -(-2, -4) = (6+2, 2+4) = (8, 6)

Then the distance between X and Y is ...

d = √(8² +6²) = √100 = 10

The point 5 units from X and from Y is the midpoint of XY:

E = (X +Y)/2 = ((6, 2) +(-2, -4))/2 = (4, -2)/2 = (2, -1)

The epicenter is (2, -1).

_____

The graph shows circles of radius 5 around X and Y, and a circle of radius 13 around Z. The circles intersect at the point (2, -1), the epicenter.

5 0

2 years ago

Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it

kherson [118]

Answer:

Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour

Together: 25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time: 3 hours 45 minutes

6 0

2 years ago

Read 2 more answers

Find the error in the problem below

qaws [65]

Answer:

You aren't supposed to add 3k

Step-by-step explanation:

3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide

19-2k= 3k-1

-3k -3k

19-5k= -1

-19 -19

-5k= -20

-5/-5= -20/-5

k=4

7 0

3 years ago

PlEase explain where the decimal and zero comes in for 4840/90?

Anika [276]

Answer:

Read my explanation

Step-by-step explanation:

Since they both end with a 0, you can just cancel it out. So you'd have 484/9.

The answer to that is 53.7777777777...

So the decimal would come before the 3 and after the 7.

I hope this helped and have a good rest of your day!

6 0

3 years ago