Who is agent in marketing

Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degrees. What is the len

FrozenT [24]

Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=42, B=120°, and c=35. Plugging in the values:

b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).

Simplifying gives:

b^2 = 4459.

Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).

This means that the length of the third side is 66.78 units!!!

7 0

3 years ago

Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butter

Elena L [17]

Answer:

Park Q has greatest percentage of pink butterflies.

Step-by-step explanation:

Butterfly Park Survey Park P Q R S

No, of Pink Butterflies 25 35 37 23

Total Number of Butterflies 53 64 75 55

Now we are supposed to find which park had the greatest percentage of pink butterflies

So, Percentage of pink butterflies in park P = $\frac{25}{53} \times 100=47.169\%$

Percentage of pink butterflies in park Q = $\frac{35}{64} \times 100=54.68\%$

Percentage of pink butterflies in park R= $\frac{37}{75} \times 100=49.33\%$

Percentage of pink butterflies in park S= $\frac{23}{55} \times 100=41.81\%$

So, Park Q has greatest percentage of pink butterflies.

So, Option B is true

Hence Park Q has greatest percentage of pink butterflies.

4 0

3 years ago

Use what you know about the properties to rewite each number sentence. Use mental math to find the sum. 0.6 + (0.4 + 0.9) = n an

dusya [7]

First Equation:

0.6 +(0.4+0.9) =n

Step 1: do parentheses first:

0.4+0.9 = 1.3

Step 2: Add 0.6 + 1.3

0.6 + 1.3 = 1.9

n= 1.9

Second Equation:

(1.57 + 0.75) + 0.25 + n

Step 1: do parentheses first:

1.57 + 0.75 = 2.50

Step 2: Add 2.50 + 0.25 = 2.75

Step 3: Add 2.75 and n = 2.75+n

Final Answer:

1.9 +2.75+n = 4.65 +n

Hope this helps!!

8 0

3 years ago

What is the vertex of the function h(x) = |x + 6| + 3?

stich3 [128]

$\text{It absolute value equation nis represented as:}\\\\h(x)=a|x-h|+k\\\\\text{Where as h = x coordinate and k = y coordinate}\\\\\text{Now since we know this, find the vertex from:}\\\\h(x) = |x + 6| + 3\\\\\text{6 is in our h value, so that would be our x coordinate. Remember, it has}\\\text{to be the opposite value, so negative}\\\\(-6,k)\\\\\text{Now find k}\\\\\text{3 is our k value, so that'll be our y-coordinate. This one doesn't have to}\\\text{ahve its value changed}\\\\$

$\text{Therefore, your answer is:}\\\\\boxed{\text{B. (-6,3)}}$

6 0

3 years ago

When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27 what is the original number

Katyanochek1 [597]

Answer:

The original number is 4

Step-by-step explanation:

Let x be the number.

5 is added to x => 5+x

When it is multiplied by 3,

3*(5+x) = 27

=> 15 + 3x = 27

Subtract 15,

3x = 27 - 15 = 12

Divide by 3,

x = 4

3 0

3 years ago

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Who is agent in marketing​

Who is agent in marketing