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madam [21]
3 years ago
5

Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

      x² = 7² + 7²

      x² = 2(7)²

      x = \sqrt{2(7)^{2} }

      x = 7\sqrt{2}

13). By sine rule,

      sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

      \frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}

      y = \frac{18\sqrt{3} }{\sqrt{3} }

      y = 18

      By cosine rule,

      cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

      \frac{1}{2}=\frac{x}{y}

      x = \frac{y}{2}

      x = \frac{18}{2}=9

14). By applying Pythagoras theorem in the given right triangle,

      12² = x² + x²

      144 = 2x²

      72 = x²

      x = √72

      x = 6√2

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Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the p
blsea [12.9K]

Answer: The probability that the fruit is an orange or a pear is \dfrac{1}{3} .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange)  = \dfrac{\text{Number of oranges}}{\text{Total fruits}}

=\dfrac{3}{12}

P(pear)= \dfrac{\text{Number of pears}}{\text{Total fruits}}

=\dfrac{1}{12}

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

=\dfrac{3}{12}+\dfrac{1}{12}=\dfrac{4}{12}=\dfrac{1}{3}

Therefore , the probability that the fruit is an orange or a pear is \dfrac{1}{3} .

5 0
3 years ago
Complete the pattern 0.02 , 0.2
Kryger [21]
It looks like the pattern is x 10, because that's how you get from 0.02 to 0.2. So, the pattern would go 0.02, 0.2, 2, 20, 200, 2000, etc.
3 0
3 years ago
Help me with this question
Lisa [10]

Answer:

The answer is y=-x+9.

The first thing to do is find where the line intercepts the y-axis, which is at positive 9 so you'll add a +9 to the end of your equation. Next you find the slope and since it's going down left to right, you know it is a negative. Now slope is found by change in y divided by change in x. And since both change and y and change in x are both 1, 1/1 is 1. And since you know it's negative that means the slope is -x. Altogether you get y= -x+9

8 0
2 years ago
For this isosceles triangle, find the measure of angles h and m.
Genrish500 [490]

Hello,

x + x + 128° = 180°

2x + 128° = 180°

2x = 180° - 128° = 52°

x = 52° / 2 = 26°

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3 years ago
Giving brainliest for help plz
Kryger [21]

Answer is B.

Thanks!!

5 0
3 years ago
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