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3 years ago

Help with math homework please

Mathematics

2 answers:

Pani-rosa [81]3 years ago

5 0

This is an isosceles triangle, that means that two of the sides are the same(it also means that two of the angles are the same). The red tick marks show which sides are the same, so ∠O and ∠M are the same.

A triangle is 180°, so the three angles add up to 180°. This means you can do:

∠O + ∠M + ∠N = 180

(5y - 18) + (5y - 18) + (8y) = 180

5y - 18 + 5y - 18 + 8y = 180 Combine like terms

18y - 36 = 180 Add 36 on both sides

18y = 216 Divide 18 on both sides

y = 12

Now that you know y, you can find ∠O:

∠O = 5y - 18

∠O = 5(12) - 18

∠O = 60 - 18

∠O = 42°

igomit [66]3 years ago

4 0

Answer:

42°

Step-by-step explanation:

8y+2(5y-18)=180

8y+10y-36=180

18y-36=180

18y=216

y=12

Plug y back into the equation for angle O

5(12)-18=42

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Six and four fifths divided by three and two ninths

ahrayia [7]

Its going to be 4 .............

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4 years ago

A tattoo enthusiast website claims that :

KATRIN_1 [288]

Answer:

The probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

Step-by-step explanation:

We have here a case where we need to use Bayes' Theorem and all conditional probabilities related. Roughly speaking, a conditional probability is a kind of probability where an event determines the occurrence of another event. Mathematically:

$\\ P(A|B) = \frac{P(A \cap B)}{P(B)}$

In the case of the Bayes' Theorem, we have also a conditional probability where one event is the sum of different probabilities.

We have a series of different probabilities that we have to distinguish one from the others:

The probability that a person has a tattoo assuming that is a Millennial is:

$\\ P(T|M) = 0.47$

The probability that a person has a tattoo assuming that is of Generation X is:

$\\ P(T|X) = 0.36$

The probability that a person has a tattoo assuming that is of Boomers is:

$\\ P(T|B) = 0.13$

The probability of being of Millennials is:

$\\ P(M) = 0.22$

The probability of being of Generation X is:

$\\ P(X) = 0.20$

The probability of being of Boomers is:

$\\ P(B) = 0.22$

Therefore, the probability of the event of having a tattoo P(T) is:

$\\ P(T) = P(T|M)*P(M) + P(T|X)*P(X) + P(T|B)*P(B)$

$\\ P(T) = 0.47*0.22 + 0.36*0.20 + 0.13*0.22$

$\\ P(T) = 0.204$

For non-independent events that happen at the same time, we can say that the probability of occurring simultaneously is:

$\\ P(M \cap T) = P(M|T)*P(T)$

$\\ P(T \cap M) = P(T|M)*P(M)$

But

$\\ P(M \cap T) = P(T \cap M)$

Then

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

We are asked for the probability that a person is a Millennial given or assuming that they have tattoos or P(M | T). Solving the previous formula for the latter:

$\\ P(M|T)*P(T) = P(T|M)*P(M)$

$\\ P(M|T) = \frac{P(T|M)*P(M)}{P(T)}$

We have already know that

$\\ P(T|M) = 0.47\;P(M) = 0.22\;and\;P(T) = 0.204$ .

Therefore

$\\ P(M|T) = \frac{0.47*0.22}{0.204}$

$\\ P(M|T) = 0.50686 \approx 0.51$

Thus, the probability that a person is a Millennial given that they have tattoos is 0.5069 (50.69%) or about 0.51 (51%).

5 0

4 years ago

The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters , find

tensa zangetsu [6.8K]

P = perimeter = 2L + 2W = 86 cm. Also, L = W + 4. Subst. W + 4 for L,

P = 2(W + 4) + 2W = 86 cm. Then 2W + 8 + 2W = 86 cm, and 4W = 78 cm.

Finally solving for W, W = (78 cm)/4, or 19.5 cm.

If W = 19.5 cm, then L = W + 4 cm = 19.5 cm + 4 cm = 23.5 cm

The rectangle's dimensions are 19.5 cm by 23.5 cm.

6 0

3 years ago

Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly

lubasha [3.4K]

Answer:

4.9 hours = 4 hours 54 minutes

Step-by-step explanation:

speed = distance/time

time * speed = distance

time = distance/speed

time = (284 miles)/(58 mph) = 4.9 hours

4.9 hours - 4 hours = 0.9 hours

0.9 hours * (60 minutes)/(1 hour) = 54 minutes

4.9 hours = 4 hours 54 minutes

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3 years ago

Please help me, I’m struggling!

Leno4ka [110]

Answer:

Multiply the numbers until you get the same denominator (Bottom number) for both fractions. I will do #1 to show you.

1/3 1/2

Both 3 and 2 go into 6, so I will use that.

When multiplying the bottom , you have to do the same to the top, so...

2/6 OR 3/6

3/6 is greater, so that is the answer.

Therefore, 1/2 is more

Another way you can do this is to draw a pizza, a section off parts of it according to the fractions.

Hope this helped.

3 0

3 years ago

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