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3 years ago

effrey typed 110 words in 2 2/3 minutes. At this rate, how many words can he type in 4 1/4 minutes?

Mathematics

1 answer:

MakcuM [25]3 years ago

6 0

First, you find the rate at which Jeffery types.

110 divides by 2.75. This makes 40.

Then to find the amount of words he types in 4.25 minutes,

40 x 4.25. This makes 170.

So Jeffery can type 170 words in 4 1/4 minutes.

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A square lawn has an area of 1152 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern

oksano4ka [1.4K]

Answer:

The radius of the circle is 16.97 feet

Step-by-step explanation:

First, we will the determine the length of one the sides of the square lawn.

From the question,

The square lawn has an area of 1152 square feet,

Now, we can determine the length of a side of the square lawn from the formula,

$A = l^{2}$ ( Formula for Area of a square)

Where $A$ is the area of the square lawn

and $l$ is the length of a side of the square lawn

From the question, $A$ = 1152 square fee

Then,

$1152 = l^{2}$

$l^{2} = 1152\\l = \sqrt{1152}$

$l = 24\sqrt{2}$ feet or $33.94$ feet

This is the length of one of the sides of the square lawn.

From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,

If the circular pattern formed just covers the lawn,

then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,

$l = d$

Where $d$ is the diameter of the circle

Hence, $d = 24\sqrt{2}$ feet

This is the diameter of the circle.

Now, for the radius of the circle,

From the relation between radius and diameter,

$Radius = \frac{Diameter}{2}$

Then,

$Radius = \frac{24\sqrt{2} }{2}$

$Radius = 12\sqrt{2}$ feet or $16.97$ feet

Hence, the radius of the circle is 16.97 feet

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Answer:

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Step-by-step explanation:

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