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3 years ago

14

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

1 answer:

bija089 [108]3 years ago

6 0

Answer:

8.8

Step-by-step explanation:

Alright so since you know the length of the side opposite the 27 degree angle and you need to find the hypotenuse, you'll use sin (opposite/hypotenuse) . so you do sin 27= 4/x and then when you do these trigometric ratios something my geo teacher taught me is that if the variable is in the denominator then you have to do the length of the side you know /sin/cos/tan of whatever angle you know. so here you insert in your calculator 4/sin 27 (make sure ur calculator is in degree mode you can check this by doing sin 30 and seeing if it equals 1/2 and if it doesnt you need to search online on how you do degree mode) and you get 8.8108. which rounds to 8.8

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Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

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Simora [160]

Answer:

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