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Nadusha1986 [10]
2 years ago
13

Please help me on this problem !

Mathematics
1 answer:
Rashid [163]2 years ago
8 0

Answer:

x = 5 , y = 5\sqrt{3}

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = \frac{1}{2} , cos30° = \frac{\sqrt{3} }{2} , then

sin30°= \frac{opposite}{hypotenuse} = \frac{x}{10} = \frac{1}{2} ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = \frac{adjacent}{hypotenuse} = \frac{y}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

2y = 10\sqrt{3} ( divide both sides by 2 )

y = 5\sqrt{3}

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Step-by-step explanation:

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Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for .
Anna [14]

Answer:

22\ units^2

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a triangle plus the area of a parallelogram

<em>Find the area of triangle KLM</em>

A=\frac{1}{2} (b)(h)

we have

b=7-3=4\ units --> difference of the x-coordinates points M and K

h=6-3=3\ units --> difference of the y-coordinates points L and K

substitute

A_1=\frac{1}{2} (4)(3)=6\ units^2

<em>Find the area of parallelogram JKMN</em>

A=(B)(H)

B=6-2=4\ units --> difference of the x-coordinates points N and J

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substitute

A_2=(4)(4)=16\ units^2

The area of the figure is equal to

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5 0
4 years ago
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​
Charra [1.4K]

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

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7 0
3 years ago
E line plot below shows the amount of water Rickayla drinks in 10 days. Part a: how many cups of water did Rickayla drink in 10
Levart [38]

Answer:

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Step-by-step explanation:

Incomplete question.

See attachment for line plot

Required

Total cups drank in 10 days

The number of x at the top of each dataset represent the frequency (i.e. number of cups) drank on that day.

To get the total, we simply multiply this frequency by the accompanying dataset.

So, we have:

Total = 2 * 1\frac{1}{2} + 1 * 1\frac{3}{4} + 2 * 2 + 2 * 2\frac{3}{4} + 3 * 3

Express fractions as improper fraction

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Total = 3 + \frac{7}{4} + 4 + \frac{11}{2} + 9

Take LCM

Total = \frac{12+ 7+16+22+36}{4}

Total = \frac{93}{4}

Total = 23\frac{1}{4}

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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(x,y)=(0,y) and (x,0).

then substitutes.

5 0
3 years ago
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