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3 years ago

Determine if line AB is tangent to the circle. Type

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

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Mr. Smith is paid $9.50 per hour for fixing watches. Write an expression for the amount of money Mr. Smith earns in h hours. In

storchak [24]

9.50 + (2.20)r

For example if he fixed 3 watches

9.50 + (2.20)3

We plug in 3 for r and he makes 6.60 extra.

8 0

3 years ago

Read 2 more answers

I need help please.

GuDViN [60]

Answer:

The factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

Step-by-step explanation:

The given expression is:

2q²-5pq-2q+5p

Make a pair of first two terms and last two terms:

(2q²-5pq) - (2q-5p)

Now factor out the common factor from each group.

Note that there is no common factor in second group. So we will take 1 as a common factor.

q(2q-5p) -1(2q-5p)

Now factor the polynomial by factoring out the G.C.F, 2q-5p

(2q-5p) (q-1)

Thus the factors of 2q²-5pq-2q+5p are (2q-5p) (q-1)....

4 0

3 years ago

Your lumber company has bought a machine that automatically cuts lumber. The seller of the machine claims that the machine cuts

maksim [4K]

Answer:

a) 0.0202

b)The seller's claim is not correct.

c) If the seller's claim is true we cannot have individual length of 72.15 inch.

Step-by-step explanation:

In the question it is given that

population mean, μ = 72 inch

Population standard deviation, σ = 0.5 inch

Sample size, n = 47

Sample mean, x =72.15 inch

a) z score = $\frac{x-\mu}{\sigma/\sqrtr{n}}$ = $\frac{72.15-72}{0.5/\sqrt{47}}$ = 2.0567

P(x ≥ 72.15) = P(z ≥ 2.0567) = 0.5 - 0.4798 = 0.0202

We calculated the probability with the help of standard normal table.

b) The sellers claim that the machine cuts the lumber with a mean length of 72 inch is not correct as we obtained a very low probability.

c)If we assume that the seller's claim is true that is the machine cuts the lumber into mean length of 72 inch then we cannot have an individual length 72.15.

Standard error = $\frac{\sigma}{\sqrt{n} }$ = 0.0729

Because it does not lie within the range of two standard errors that is (μ±2 standard error) = (71.8541,72.1458)

4 0

3 years ago

Find the circumference of a circle with diameter of 10 cm.

Olegator [25]

Answer:

Option C, $31.4\ cm$

Step-by-step explanation:

Step 1: Determine the formula

Formula → $C = 2*\pi *r$

Step 2: Determine the radius

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

$Radius = \frac{10\ cm}{2}$

$Radius = 5\ cm$

Step 3: Determine the circumference

$C = 2 * \pi * (5\ cm)$

$C = 10\ cm * \pi$

$C = 31.4\ cm$

Answer: Option C, $31.4\ cm$

7 0

2 years ago

Please help I will give brainliest

hram777 [196]

I’m pretty sure it’s n^15

7 0

3 years ago