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OlgaM077 [116]
3 years ago
9

How can you decompose the composite figure to determine its area?

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

A

Step-by-step explanation:

If you continued cutting along the lines already present, you would separate this shape into two semicircles and a rectangle. Therefore, the answer is A.

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John can mow a lawn in 80 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both John and Rocky to
mario62 [17]

Answer: it will take them 48 minutes.

Step-by-step explanation:

John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80

Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/80 + 1/120 = 200/9600 = 1/48

Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,

1/48 = 1/t

t = 48 minutes

4 0
3 years ago
Which expression can be used to solve 3/5 divide by 7/10
kramer

Answer:

\frac{3}{5} *\frac{10}{7}  

=  \frac{30}{35} =\frac{6}{7}

7 0
3 years ago
During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par
storchak [24]
We can set it up like this, where <em>s </em>is the speed of the canoeist:

\frac{18}{s} + \frac{4}{s-5} = 3

To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):

s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s

If we rearrange this, we can turn it into a quadratic equation and factor:

18s - 90+4s=3 s^{2} -15s \\ 22s-90=3 s^{2} -15s \\ 3 s^{2} -37s+90=0 \\ (3s-10)(s-9)=0 \\ s= \frac{10}{3} ,9

Technically, either of these solutions would work when plugged into the original equation, but I would use the second solution because it's a little "neater."  We have the speed for the first part of the trip (9 mph); now we just need to subtract 5mph to get the speed for the second part of the trip.

9-5 = 4

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
5 0
3 years ago
CAN SOMEONE PLS HELP MEEEEEEE
k0ka [10]

9514 1404 393

Answer:

  1. 6x +y = -6
  2. 6x -y = 8
  3. 5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

  • eliminate parentheses
  • subtract the x-term
  • subtract the constant on the left
  • if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done <em>to both sides of the equation</em>.

__

1. y -6 = -6(x +2)

  y -6 = -6x -12 . . . . . eliminate parentheses

  6x +y -6 = -12 . . . . . add 6x

  6x +y = -6 . . . . . . . . add 6

__

2. y +2 = 6(x -1)

  y +2 = 6x -6

  -6x +y +2 = -6

  -6x +y = -8

  6x -y = 8 . . . . . . . . multiply by -1

__

3. y -3 = -5(x -2)

  y -3 = -5x +10

  5x +y -3 = 10

  5x +y = 13

_____

<em>Additional comment</em>

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

7 0
3 years ago
The manager at Food Town estimates that the store sold 325 jars of spaghetti sauce last week. The store actually sold 297 jars o
never [62]

There is a positive, linear relationship between the correct and guessed calories. The guessed  calories for 5 oz. of spaghetti with tomato sauce and the cream-filled snack cake are unusually  high and do not appear to fit the overall pattern displayed for the other foods.  The correlation is r = 0.825 . This agrees with the positive association observed in the plot; it is not closer to 1  because of the unusual guessed calories for spaghetti and cake.  The fact that the guesses are  all higher than the true calorie count does not influence the correlation. The correlation r would  not change if every guess were 100 calories higher. The correlation r does not change if a  constant is added to all values of a variable because the standardized values would be unchanged.  The correlation without these two foods is r = 0.984 . The correlation is closer to 1 because  the relationship is much stronger without these two foods.

5 0
3 years ago
Read 2 more answers
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