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2 years ago

How would I determine whether AB is tangent to oc? The o is a circle dot

Mathematics

1 answer:

icang [17]2 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

If AB is a tangent then ∠ ABC = 90° and Δ ABC is right

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides.

15 is the longest side and 15² = 225

9² + 12² = 81 + 144 = 225

Thus Δ ABC is a right triangle at B

Thus AB is a tangent to the circle at B

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When baking a cake you can choose between a round pan with a 9 in. diameter and a 8 in. times 11 in. rectangular pan?

ivanzaharov [21]

Question says that there are two type of pans.

First pan has diameter of 9 inches.

Second pan has dimension 8 inches by 11 inches. Which means second pan is rectangular.

It seems you missed few parts of the question like what we have to do with it. I searched for similar question on internet and found that they are finding surface area of the both pans so i will tell you how to find that.

Radius of the circular pan = diameter/2 = 9/2 = 4.5 inches

Then surface area of the first (circular) pan = \pi r^2 = 3.14 *4.5^2 = 63.585 square inches.

Now surface area of second (rectangular) pan is given by formula of area of rectangle

Area = Length * width = 8*11= 88 square inches.

4 0

3 years ago

I Need Help With Graphing Linear Functions

NNADVOKAT [17]

The answer should be option c

3 0

3 years ago

Read 2 more answers

Which function has the same y-intercept as the one below

Over [174]

Check the picture below, so let's check the equations below hmmm

$\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill$

$\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

5 0

2 years ago

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final c

Black_prince [1.1K]

Answer:

The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Test the claim that the proportion of all children in the town who suffer not from asthma is 11%

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

Sample proportion

$p^{-} = \frac{x}{n} = \frac{37}{167} = 0.2215$

Given Population proportion 'P' = 11% = 0.11

Step(ii) :-

Null Hypothesis : H₀ : p = 11

Alternative Hypothesis H₁: p≠11

Test statistic

$Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }$

$Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }$

Z = 4.64

step(iii)

Critical value Z = 1.96

The calculated value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Conclusion:-

Test the claim that the proportion of all children in the town who suffer not from asthma is 11%

4 0

3 years ago

Which represents where f(x) = g(x)?

Lyrx [107]

The correct answer is:

f(2) = g(2) and f(0) = g(0)

Explanation:

If f(x) = g(x), this means the values of the functions are the same when using the same numbers. That means if we use 2 for x, then f(2) would need to be equal to g(2); if we use 0 for x, then f(0) would need to be equal to g(0). This is the case in this option, so this option is correct.

3 0

3 years ago

Read 2 more answers