All categories

3 years ago

Using trig ratios to find the missing side or angle of a right triangle

Mathematics

2 answers:

nevsk [136]3 years ago

4 0

$\\ \sf\longmapsto sin44=\dfrac{x}{48}$

$\\ \sf\longmapsto 0.69=\dfrac{x}{48}$

$\\ \sf\longmapsto x=48(0.69)$

$\\ \sf\longmapsto x=33.12$

Zigmanuir [339]3 years ago

3 0

<h2>>> Answer </h2>

_________

$\:$

Sin (44°) = x/48

0.69 = x/48

x = 48 × 0.69

x ≈ 33.12

You might be interested in

Pls help me with this

OlgaM077 [116]

Answer:

1/(x^(17/12)y^(5/3))

Step-by-step explanation:

We assume you want to simplify the expression. The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)^c = a^(bc)

1/a^b = a^-b

Using these "all at once", we can add up the exponents of each of the variables:

x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)

= x^(-17/12)y^(-5/3)

= $\dfrac{1}{x^{\frac{17}{12}}y^{\frac{5}{3}}}$

4 0

4 years ago

A farmer collected eggs from the henhouse. He can put 36 eggs in a carton. A carton will hold 6 eggs in a row How many rows does

emmasim [6.3K]

Im pretty sure its C idk

6 0

3 years ago

Read 2 more answers

A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The

Tasya [4]

I'm not completely sure about this answer but here is what I got: 100•15=1500 for one day of the food booth. 50•22=1100 one day for the game booth. 1500+(x9) and 1100+(x8). (1500+x)+(1100+x)=x

8 0

4 years ago

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

AlekseyPX

Answer:

$\frac{5\sqrt{2} }{2}$

Step-by-step explanation:

$x: \text{opposite side of the angle of 45\º}$

$5: \text{hypotenuse of the right triangle}$

$\sin(\theta)=\frac{\text{opp}}{\text{hyp}} \Rightarrow \sin(45\º)=\frac{x}{5}$

$\text{Once }\sin(45\º)=\frac{\sqrt{2} }{2}$

$\frac{\sqrt{2} }{2} =\frac{x}{5} \Rightarrow 2x=5\sqrt{2} \Rightarrow x=\frac{5\sqrt{2} }{2}$

You can just remember that 5 is the diagonal of a square of side length x.

$5=x\sqrt{2} \Rightarrow x=\frac{5}{\sqrt{2} } \Rightarrow x=\frac{5}{\sqrt{2} } \cdot \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}$

5 0

4 years ago

What is the sales tax for an item that costs $1400 and has a sales tax rate of 75% ?

dexar [7]

What this question is asking, without all the wording, is what is 75% of 1400. You can easily find this by multiplying 1400 by 0.75. This will be your sales tax.

$1400*0.75$

$1050$

Sales Tax: $1050

6 0

3 years ago