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2 years ago

Find the value of x and round to the nearest tenth

Mathematics

1 answer:

kirza4 [7]2 years ago

5 0

Using the law of sines, the value of x in the image is approximately: 8.5.

<h3>What is the Law of Sines?</h3>

The equation for the law of sines is: sin A/a = sin B/b = sin C/c.

We are given:

A = 28

C = 83

a = x

c = 18

Substitute

sin 28/x = sin 83/18

x = (sin 28 × 18)/sin 83

x ≈ 8.5

Learn more about the law of sines on:

brainly.com/question/2807639

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Use the equation of the water level of the river represented by the equation y=-4x + 170, where x represents the

vovangra [49]

Answer:

(0,170) and (60,-70) and (5, 150)

Step-by-step explanation:

To see if a given point is on the line or not, you just have to enter the x value (first value in the parenthesis) and see if the function returns the correct y value (second number in the parenthesis).

f(x) = -4x + 170

(170,0) => -4 (170) + 170 = -680 + 170 = 510. NO, not equal to 0.

(0,170) => -4 (0) + 170 = 0 + 170 = 170. YES

(12, 126) => -4 (12) + 170= -48 + 170= 122. No, not equal to 126.

(50,30) => -4(50) + 170 = -200 + 170 = 130. No, not equal to 30.

(5, 150) => -4(5) + 170 = -20 + 170 = 150. YES

(60,-70) => -4(60) + 170 = -240 + 170 = -70. YES

4 0

3 years ago

Read 2 more answers

Write in terms of inequalities: (-13,4]

anzhelika [568]

9514 1404 393

Answer:

-13 < x ≤ 4

Step-by-step explanation:

The round bracket means the lower limit is not included in the interval. The square bracket means the upper limit is included.

-13 < x ≤ 4

8 0

3 years ago

In circle J with \text{m} \angle HLK= 30^{\circ}m∠HLK=30

olga2289 [7]

Answer:

The minor arc HK is 60 degrees

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle HLK=\frac{1}{2}(arc\ HK)$

we have

$m\angle HLK=30^o$

substitute the given value

$30^o=\frac{1}{2}(arc\ HK)$

$arc\ HK=60^o$

Remember that the measure of the minor arc must be less than 180 degrees

therefore

The minor arc HK is 60 degrees

8 0

2 years ago

How do you solve these type of problems ?

-Dominant- [34]

Answer:

x = 15

Step-by-step explanation:

This involves the Secant and Segments Theorem.

8(19 + 8) = 9(9 + x)

216 = 81 + 9x

9x = 135

x = 15

8 0

2 years ago

Write an equation of a circle with a center at (2, - 4) and a radius of 4.

fgiga [73]

9514 1404 393

Answer:

(x -2)^2 +(y +4)^2 = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

(x -h)^2 +(y -k)^2 = r^2

You have (h, k) = (2, -4) and r = 4, so your equation is ...

(x -2)^2 +(y -(-4))^2 = 4^2

(x -2)^2 +(y +4)^2 = 16

6 0

2 years ago