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3 years ago

I need help finding the solution

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

<h3>Answer: 226 degrees</h3>

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Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

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Use this x value to find the measure of arcs DC and CB

arc DC = 12x+7 = 12*5+7 = 67
arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

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iren2701 [21]

Problem 3

<h3>Camille is correct</h3>

You subtract 4x from both sides, then divide both sides by -2 to fully isolate y.

===============================================

Problem 4

Multiply both sides by r to get

2mr = p-q

which is the same as

p-q = 2mr

The last step is to add q to both sides leading to this final answer

================================================

Problem 5

Answer: $r = \sqrt[3]{\frac{3V}{4\pi}}$

This is the cube root of (3V)/(4pi)

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Work Shown:

$V = \frac{4}{3}\pi r^3\\\\3V = 4\pi r^3\\\\4\pi r^3 = 3V\\\\r^3 = \frac{3V}{4\pi}\\\\r = \sqrt[3]{\frac{3V}{4\pi}}\\\\$

5 0

4 years ago

select the correct descriptor of the following problems: from a pack of 52 cards, two cards drawn together at random. What is th

Marianna [84]

Answer:

$\frac{1}{221}$

Step-by-step explanation:

We have to note that there are 4 kings in a deck of 52 cards.

This makes the probability of choosing a king the first time $\frac{4}{52} = \frac{1}{13}$ .

We now know that we can choose another king from the deck, but it's important to note that it's not a $\frac{1}{13}$ chance. We now only have 51 cards in the deck, and 3 kings left. This means the probability of choosing a king now is $\frac{3}{51} = \frac{1}{17}$ .