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2 years ago

Please help is urgent

Mathematics

1 answer:

vazorg [7]2 years ago

5 0

Answer:

x ≈ 7.2

Step-by-step explanation:

Given a tangent- secant from an external point to the circle, then

the the square of the measure of the tangent is equal to the product of the external part of the secant and the entire secant, that is

x² = 4(4 + 9) = 4 × 13 = 52 ( take the square root of both sides )

x = $\sqrt{52}$ ≈ 7.2 ( to the nearest tenth )

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Celo is 38 years old, which is twice as old as Clara will be in 7 years

evablogger [386]

Cleo would be 193 years old when Clara turns 38

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2 years ago

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Evaluate the following expression. cos135°

Mrac [35]

Negative 1 / Square Root of 2

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3 years ago

Use the compound interest formula to determine the final value of the following amount. $1900 at 10.4% compounded monthly for 4.

nikklg [1K]

Answer:

$3027.80

Explanation:

The compound interest formula is the following.

$A=P(1+\frac{r}{n})^{nt}$

where

A = final amount

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Now in our case,

A = unknown

P = $1900

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Therefore, the compound interest formula gives

$A=1900(1+\frac{10.4/100}{12})^{12*4.5}$

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which is our answer!

8 0

8 months ago

A circular swimming pool has diameter 60 feet and is centered in a fenced-in square region measuring 80 feet by 80 feet. a concr

borishaifa [10]

If I read the question correctly, the information about the 80x80 fencing and the grass region are all irrelevant information.

In order to find the area of the side walk we are going to use the formula A=pi(r^2) where r = the radius. The diameter of the pool is 60 feet and the the sidewalk is 5 feet bigger all around meaning we had 5 feet to both sides of this 60 feet giving you an overall diameter of 70 feet (or 60 + 5*2). To find the radius take half of the diameter. 70/2 = 35.

Now we plug in 35 to the equation. A = Pi(35^2) = 1225pi. Leave your answer like this as we are not finished and will need to round at the end for an accurate answer. This is NOT the end, that number is the area of the sidewalk AND the pool.

The sidewalk is not a full circle, just a border so we now have to find the area of the actual pool and subtract it from this 1225pi for the sidewalk's area. Same formula, Area = pi(r^2). The diameter of the pool is 60 meaning the radius is 30 (or 60/2). Plug into the equation, pi(30^2) = 900pi.

Now do 1225pi - 900pi to get 325pi. Break out your calculator and hit the approximation button. 325pi is approximately 1021.018 if rounded to 3 decimal places.

The area of the 5-foot wide sidewalk encircling the pool is approximately 1021.018 square feet.

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2 years ago

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Kisachek [45]

Answer:

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Step-by-step explanation:

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2 years ago