What is the surface area of this design?

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

e-lub [12.9K]

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 opposite angle S. Side QS, measuring 2.3, is the hypotenuse 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 1.9

7 0

3 years ago

What is The value of Y in this exponential growth function when X equals two y=1.5x

kow [346]

Y=3

Y=1.5x

If X=2 insert 2 into the equation

Y=1.5(2)
Y=3

5 0

3 years ago

Read 2 more answers

How do you solve 3 3/4a+3+6=87 in multi step equations

Dovator [93]

If you would like to solve the equation 3 3/4 * a + 3 + 6 = 87, you can do it using the following steps:

3 3/4 * a + 3 + 6 = 87
15/4 * a = 87 - 3 - 6
15/4 * a = 78 /*4/15
a = 78 * 4/15
a = 104/5
a = 20.8

The correct result is 20.8.

3 0

3 years ago

Find the equation of the line that goes through (1, 2) and (3, 4).

Likurg_2 [28]

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8 0

3 years ago

An automobile manufacturer would like to know what proportion of its customers are not satisfied by the service provided by the

zheka24 [161]

Answer:

The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.