If mAC=178 degrees, and mBC=42 degrees, what is m angle BDC?

Answers

Answer 1
Answer: The measurement of angle BDC is 44 degrees. This can be computed by subtracting 178 degrees from 180 degrees which is 2 degrees. Then using the given mBC which is 42 degrees add this to the 2 degrees which came from the difference computed above. Then it will give us the answer of 44 degrees.

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What is the length of the side of a square field whose perimeter is 72 mº.

Answers

Answer:

18 meters

Step-by-step explanation:

"Perimeter" is all 4 sides added together, right?

Since it's a square, all four sides are equal, so the problem looks like this:

s + s + s + s = 72  where s = side length

Before doing any math, can you think of a number that you could add to itself 4 times and get 72?  If not, you get to do some algebra:

s + s + s + s = 72  reduces to:

4s = 72  Then solve for s:

s = 72/4 = 18 m

Check your work by seeing if 4 x 18 = 72.  It does, so the answer is correct.

Find 3 consecutive odd integers whose sum is 225, explain please

Answers

3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5. 
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77

Suppose that X and Y have the following joint probability function: f(x,y) = { 3x, | 32, if 0 ≤ y ≤1 0, otherwise. a) Find the variance of the random variables X. b) Find the conditional PDF of Y given X.

Answers

Answer:

see below

Step-by-step explanation:

a) The variance of random variable X is

33

4

4

33

.

b) The conditional PDF of Y given X is:

For

0

1

0≤y≤1,

(

)

=

1

f(y∣x)=1.

For

y outside the range [0, 1],

(

)

=

0

f(y∣x)=0.

What is 699,900 rounded to the nearest thousand

Answers

When you round 699,900 to the nearest hundred, you get 700,00.

Answer:

The answer is .

Step-by-step explanation:

When you're rounding up to the "Nearest" all you have to do is find for the thousands place then look to the right of the number. If it's 4 or down, round down. but If it's 5 or up, round up. It's as simple as that. The number to the right of the thousands is 9, so we round up 700,000.

And that will be you're answer!

What is the exact volume of a cylinder that has a height of 4.9 yd and a radius of 2.2 yd?yd3

Answers

First, you multiply 2.2 by itself to get the diameter, and then multiply the answer you got by the height: 2.2 times 2.2 equals 4.84, then 4.84 times 4.9 equals 23.716. 23.716 is the answer. 23.716 yd3

At a high school, the probability that a student takes a science class and a history class is 0.44. The probability that a student takes a science class is 0.68, and the probability that the student takes a history class is 0.56. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?0.44
0.65
0.30
0.79

Answers

P(history given science) = P(history intersect science) / P(science) = 0.44/0.68 = 0.65