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4 years ago

A triangle with sides measuring 8, 15 and 17 units is inscribed in a circle. What is the radius of the circle, in units?

Mathematics

1 answer:

Lubov Fominskaja [6]4 years ago

5 0

Answer: radius of the circle is 8.5 units

Step-by-step explanation:

The diagram of the circle and the inscribed triangle is shown in the attached photo. Looking at the length of each side of the triangle given, the lengths form a Pythagorean triple. We can confirm by applying Pythagoras theorem

Hypotenuse^2 = opposite side^2 + adjacent^2. It becomes

17^2 = 8^2 + ``15^2

289 = 64 + 225

289 = 289

This means that the triangle formed is a right angle triangle.

According to Thales theorem,

The diameter of the circle always subtends a right angle to any point on the circle. Since the diameter is the longest side of the circle and the angles is formed on a point on the circle,

Diameter = 17

Radius = diameter/2 = 17/2 = 8.5

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Joey has been mowing his dad's lawn every week indefinitely because his

Kisachek [45]

Answer:

The money he makes mowing lawn can be represented by a linear function.

The function can be represented in the slope-intercept form.

the equation of the function is y=500+10x

where

y=amount of money he has earned by mowing lawns.

x=number of lawn mowing clients he has.

Step-by-step explanation:

It can be represented by a linear function (straight line) because the <em>additional</em> amounts are proportional to the number of clients he has.

The equation is

y=500+10x

where

y=amount of money he has

x=number of lawn mowing client he has.

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4 years ago

There are 96 strawberries in a basket. Each of the 12 children received an equal number of strawberries. Which equation gives s,

MAXImum [283]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

A certain project can be completed by 28 men in 90 days. the numbers of men needed varies inversely to the time needed to comple

leva [86]

ANSWER

C. 35 men

EXPLANATION

Let m represent the number of men needed and d represent the number of days.

From the question,the number of men needed varies inversely to the time needed to complete the project.

We can write the inverse variation equation.

$m = \frac{k}{d}$

where k is the constant of variation.

When m=28, d =90.

We substitute these values into the variation equation to determine the value of k.

$28 = \frac{k}{90}$

$k = 90 \times 28$

$k = 252$

Now the equation becomes:

$m= \frac{2520}{d}$

When d=72,

$m = \frac{2520}{72}$

$m = 35$

Therefore he needs to have 35 men working.

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4 years ago

22. MULTIPLE CHOICE What number is 0.02% of 50? (Skills Review Handbook) (A) 0.01 (B) 0.1 (C) 1 (D) 100

emmainna [20.7K]

Answer:

$x = 1$

Then the answer is C

Step-by-step explanation:

1) Set a linear equation

$\frac{2}{100} = \frac{x}{50}$

2) Cross multiply

$100x = 2 \times 50$

3) Multiple the right side

$100x = 100$

4) Divide both side by 2

$\frac{100x}{100} = \frac{100}{100}$

5) Solving the linear equation

$x = 1$

The answer is (C)

7 0

3 years ago

A bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people

mihalych1998 [28]

Answer:

5 minutes.

Step-by-step explanation:

We have been given that a bank finds that the average number of people waiting in line during lunch hour is 10. On average, during this period, 2 people per minute leave the bank after receiving service.

We will use flow time formula to solve our given problem.

$\text{Flow time}=\frac{\text{Number of units produced}}{\text{Duration of time period}}$

$\text{Flow time}=\frac{10}{2}$

$\text{Flow time}=5$

Therefore, on average bank customers wait in line for 5 minutes.

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3 years ago