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2 years ago

Given: circle O with tangent AB mBC= 2x -16; mCD = x+40; mDE = x; mEB = 60 find the x

Mathematics

1 answer:

murzikaleks [220]2 years ago

6 0

Answer:

Step-by-step explanation:

All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

(2x - 16) + (x + 40) + x + 60 = 360

4x + 84 = 360

4x = 276

x = 69

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Suppose that lower production costs increases the supply of wheat, such that more wheat is supplied at each price level. After t

just olya [345]

When the demand and supply curve intersect, that is, where the quantity demanded and quantity supplied are equal, the market is said to be in equilibrium. Thus, the given quantity is equilibrium quantity.

From the graph, we see that when the production cost of wheat is $4, the equilibrium quantity is 600 units.

When the production cost lowers from $4 to $3, the supply of wheat increases, such that the equilibrium quantity increases from 600 units to 800 units.

Thus, after an increase in supply, the equilibrium quantity increases.

So, Option A is the correct answer.

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2 years ago

Read 2 more answers

A teacher collected information from a class of 25 students about the time, in hours, they spent studying the previous week and

amm1812

Answer:

Correlation will not change.

Correlation coefficient = -0.72

Step-by-step explanation:

We are given the following in the question:

Correlation coefficient between hours spent studying and hours spent on the Internet = -0.72

Properties of correlation coefficient:

Correlation is a technique that help us to find or define a relationship between two variables.
It is a measure of linear relationship between two quantities.
It is not affected by the units of the variable or change in units of the variable.

Thus, if the units of each variable is changed from hours to minutes, the correlation coefficient remains the same between minutes studying and minutes spent on the Internet.

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2 years ago

Nevaeh has 12 gallons of gas in her car at the beginning of a trip. Every hour Nevaeh

slega [8]

Answer:

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2 years ago

David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s

AURORKA [14]

Answer: We can arrange the steps with help of below explanation.

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where $D\in AC$

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C

In the triangle BCD, from the definition of sine:

sin C =BD / a

BD = a sin C

In the triangle ADB, applying the Pythagorean Theorem

$c^2 =BD^2 +DA^2$

Substituting for BD and DA from (2) and (3)

$c^2 =(asinC)^2 +(b-acosC)^2$

⇒ $c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C$ ( On simplification)

⇒ $c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C$

⇒ $c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC$

⇒ $c^2 = a^2+b^2-2abcosC$ (because, $sin^2\theta+cos^2\theta =1$ )

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2 years ago

Choose the option that best completes the statement below. In finding the number of permutations for a given number of items, __

vodomira [7]

Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have: $3 P_{3}=(3)(2)(1)=6$ . Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.

Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold A.
ABA and ABA look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.

So in this case the formula would be $\frac{3 P_{3} }{2!}= \frac{(3)(2)(1)}{(2)(1)}= \frac{6}{2}=3$ . We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!

Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.

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2 years ago