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KiRa [710]
3 years ago
13

Ron has two bags of different stickers. The first bag has 3 cars, 2 trucks, and 5 dinosaurs. The second bag has 6 cars, 4 trucks

, and 2 dinosaurs. Ron will randomly select 1 sticker from each bag. What is the probability that Ron will select a dinosaur sticker from each bag?
Mathematics
1 answer:
Katen [24]3 years ago
4 0

1/2 chance to get a dinosaurs sticker for the first bag. 1/6 chance to get a dinosaurs sticker for the second bag.

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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
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7 0
3 years ago
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Aloiza [94]
Let the number of runs made on the home run be x, then for the <span>two 3-run home runs, we have 2x

Let the number of runs made in each hit be y, then for the 4 hits that each scored 2 runs, we have 4y.

Thus the algebraic expression to model the total score is 2x + 4y.

Because, there are 3 runs per home run, then x = 3 and because there are 2 runs per hit, then y = 2.

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What is 9 plus 5????
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Answer:

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