1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mandarinka [93]
3 years ago
15

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

\boxed {\boxed {\sf x \approx 1.9}}

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

  • sinθ= opposite/hypotenuse
  • cosθ= adjacent/hypotenuse
  • tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

sin \theta = \frac {opposite}{hypotenuse}

  • θ= 54
  • opposite= x
  • hypotenuse = 2.3

sin (54)= \frac{ x}{2.3}

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

2.3* sin (54)= \frac{x}{2.3}*2.3

2.3* sin (54)=x

2.3*0.8090169944=x

1.860739087 =x

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

1.9 \approx x

x is approximately <u>1.9</u>

You might be interested in
The manufacturer's price for a cooler is $28.50 A camping store that buys the coolers sells them for $40.76 What is the approxim
Nutka1998 [239]

The percent of the increase is

I=\frac{N-O}{O}\times100

I is the increasing value

N is the new value

O is the original value

The price of the cooler is $28.50, then

O = 28.50

The selling price of the cooler is $40.76, then

N = 40.76

We will substitute them in the rule above to find I

I=\frac{40.76-28.50}{28.50}\times100

Let us calculate it

I = 43.0175 %

Round it to the nearest percent

I = 43%

The answer is D

6 0
1 year ago
How many marbles must be in the 8th line ? 
Nat2105 [25]

Answer:

?? Which line

7 0
3 years ago
Read 2 more answers
Consider the following numbers: 7000, 700, 70, 0.7, 0.07, 0.007
masya89 [10]

Answer:

7000= 7 x 10^{3}, 700= 7 x 10^{2}, 70= 7 x 10^{1}, 0.7= 7 x 10^{-1}, 0.07= 7 x 10^{-2}, 0.007= 7 x 10^{-3}

Step-by-step explanation:

YES

6 0
3 years ago
Aubrey was sorting books for the garage sale. she had 831 books and wanted to put them in 5 equal boxes. how many books would fi
lianna [129]

she would need 166 boxes. there is a remainder of 1. one book wont fit in a box

6 0
2 years ago
Read 2 more answers
Two fair coins are being used in a probability experiment. During each trial of the experiment, the
padilas [110]

Answer: 50%

Step-by-step explanation:

If we can get a head tails combo in any order we could get a head/tails or a tails/head so there is a 50% probability of getting that combo in a trial

6 0
2 years ago
Other questions:
  • Which of the following functions is graphed?
    5·2 answers
  • Which fraction is the reciprocal of 6 3/4
    9·1 answer
  • What is the answer to this equation
    15·1 answer
  • What is the mixed number for 41/8
    11·1 answer
  • CAn you please answer this ASAP. Thank you soooooo much:)
    12·1 answer
  • Solve equation. -15 + (-8)=
    9·2 answers
  • Find the values of a given that AGHJ ZAMNP.<br> G<br> N<br> (2x<br> 50°<br> 142<br> M<br> H
    15·1 answer
  • Write the equation in standard form. x = -4y + 8
    9·1 answer
  • HELP ME PLS I NEED HELP
    12·1 answer
  • madison makes dinner using 1 box of farfalle noodles and 1 jar of marsala sauce. if farfalle is sold in packages of 4 boxes and
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!