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galben [10]
2 years ago
13

What is the measurement of LaTeX: \angle∠ADC?

Mathematics
1 answer:
jek_recluse [69]2 years ago
3 0

Answer:

<ADC=131°

Step-by-step explanation:

<ADC= <ADB+<BDC

We need to substitute the angle measures and simplify to get:

<ADC=89+42

This simplifies to give us:

m \angle \: ADC = 131  \degree

The correct answer from the given options is the first choice.

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Alex scored 10% in his math test if the test was out of 30, what was his score
Firlakuza [10]

Answer:

Yeesh it was a 3

Step-by-step explanation:

10% of 30=.10 x 30

Answer is 3

5 0
2 years ago
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Find the surface area of the prism.<br> 7 mm<br> 4 mm<br> 5 mm
dolphi86 [110]

Answer:

Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.

Step-by-step explanation:

The formula would be:

Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)

Front & Back - 5 × 7 (multiply by 2 for front AND back)

Sides - 4 × 7 (multiply by 2 for BOTH sides)

___________________________________________________

Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)

Ex. Top & Bottom + Front & Back + Sides

7 0
2 years ago
Part 4. Find the missing sides for the 30 60 90 triangles. Please show work for each​
inna [77]

10. tan(30) = l / 6√3

l = tan(30) x 6√3

l = 6

cos(30) = 6√3 / y

y =  6√3/cos(30)

y = 12

11. tan(30) = c/30

c = 30 x tan(30)

c = 10√3

cos(30) = 27/w

w = 27/cos(30)

w = 18√3

12.

sin(60) = 36/y

y = 36/sin(60)

y = 24√3

tan(60) = 36/x

x = 36/tan(60)

x = 12√3

7 0
3 years ago
Read 2 more answers
Pls help!!! I dont understand this
xxTIMURxx [149]

Answer: A and C

Step-by-step explanation:

So the largest rectangle has sides of 5 length and 2+4 width or 6 right. so 5*6=30 Now we have to find which of these expressions solve to get 30. I would just solve them all but the answer is

A and C

3 0
2 years ago
Read 2 more answers
Bob has a standard deck of playing cards. If he randomly draws a J, K, 2, and 2, what is the probability that the next card he d
nlexa [21]

Answer:

The correct answer has already been given (twice). I'd like to present two solutions that expand on (and explain more completely) the reasoning of the ones already given.


One is using the hypergeometric distribution, which is meant exactly for the type of problem you describe (sampling without replacement):


P(X=k)=(Kk)(N−Kn−k)(Nn)


where N is the total number of cards in the deck, K is the total number of ace cards in the deck, k is the number of ace cards you intend to select, and n is the number of cards overall that you intend to select.


P(X=2)=(42)(480)(522)


P(X=2)=61326=1221


In essence, this would give you the number of possible combinations of drawing two of the four ace cards in the deck (6, already enumerated by Ravish) over the number of possible combinations of drawing any two cards out of the 52 in the deck (1326). This is the way Ravish chose to solve the problem.


Another way is using simple probabilities and combinations:


P(X=2)=(4C1∗152)∗(3C1∗151)


P(X=2)=452∗351=1221


The chance of picking an ace for the first time (same as the chance of picking any card for the first time) is 1/52, multiplied by the number of ways you can pick one of the four aces in the deck, 4C1. This probability is multiplied by the probability of picking a card for the second time (1/51) times the number of ways to get one of the three remaining aces (3C1). This is the way Larry chose to solve the this.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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