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3 years ago

Find Each Sum. (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =

1 answer:

6 0

To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.

<span>(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
(-4c</span>² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d

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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t

larisa86 [58]

Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle $\theta$ , is 1.42. We are asked to find the length of the side opposite angle $\theta$ .

We can represent our given information in an equation as:

$\text{tan}(\theta)=1.42$

Now, we will use arctan to solve for theta as:

$\theta=\text{tan}^{-1}(1.42)$

$\theta=54.85^{\circ}$

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}$

$\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}$

$20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}$

$20\cdot 0.81764=\text{Opposite}$

$\text{Opposite}=20\cdot 0.81764$

$\text{Opposite}=16.3528$

$\text{Opposite}=16.4$

Therefore, the opposite side to angle theta is 16.4 feet.

5 0

3 years ago

Read 2 more answers

Chris has 150 Pokemon cards. Each week,

luda_lava [24]

Answer:

Step-by-step explanation:

He already has 150 cards and he is buying 15 cards EACH WEEK. W represents the amount of weeks and since 15W +150 needs to be greater than 500 we need to use this lil guy (>)

8 0

3 years ago

3xy - 4y when y =2 and x =5

Dmitry_Shevchenko [17]

Basically plug in 2 where y is and 5 where X is
3(5)(2) - 4(2) , the parentheses are there to multiply
30-8
22

8 0

3 years ago

Read 2 more answers

Mrs. Parker cut a watermelon into fourths. She gave 1 piece to her 3 children to share equally. How much will each child eat?

beks73 [17]

Answer: ¹/₁₂ watermelon

Step-by-step explanation:

Mrs. Parker had a watermelon which she cut into fourths and then gave one of those pieces to her children.

This means that she gave them 1/4 of a watermelon.

There are 3 children and they are to share this piece equally:

= 1/4 ÷ 3

= 1/4 * 1/3

= 1/12

<em>Each child will get 1/12 of the water melon. </em>

6 0

3 years ago

What are the missing angles?

Artemon [7]

1. 51
2. 34
3. 95
4. 38
5. 47
6. 74
7. 59

I hope this helps!!

6 0

3 years ago