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Yuki888 [10]
3 years ago
5

Item 17

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
0.39x ≤ 5.85 . . . . . . one way to write the inequality
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Drag the tiles to the boxes to form correct pairs.
e-lub [12.9K]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The sum of all the angles can be written as,

∠A + ∠B + ∠C = 180°

90° + 62° + ∠C = 180°

∠C = 28°

Sin(∠B) = AC/BC

Sin(∠B) = b/8

b = 8 × Sin(62°)

b = 7.06

Cos(∠B) = AB/BC

Cos(∠B) = c/8

c = 8 × Cos(62°)

c = 3.76

Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

4 0
2 years ago
Put the following integers in order from least to greatest: 4, -3,5, 0, -5*
Elan Coil [88]

Answer:

-5 , -3 , 0 , 4 , 5

Step-by-step explanation:

Negative numbers are always less than positive numbers.

4 0
3 years ago
Find an equation for the line that passes through the points
V125BC [204]

Answer:

see below

Step-by-step explanation:

y = −1.5x + 3.5 is the equation of the line

Points: (5,-4), (-1,5)

Formula (y=mx+c): y = −1.5x + 3.5

Slope m: -1.5

Y-intercept b: 3.5

Parallel lines: −1.5x + any number

Perpendicular lines: 0.666666666667x + any number

4 0
2 years ago
Write the equation of the line parallel to 3x-y=7 that passes through point (-5, -3)
IceJOKER [234]
<h2>Answer:</h2>

\boxed{y=3x+12}

<h2>Step-by-step explanation:</h2>

In this problem we know the equation of a line, which is:

3x-y=7

We also can write this equation as:

y=3x-7

This line has a slope m=3 which is also the slope of the line we are looking for because they're parallel. We also have a point (-5,-3). Therefore, we can write this equation as follows:

y-y_{0}=m(x-x_{0}) \\ \\ y-(-3)=3(x-(-5)) \\ \\ y+3=3(x+5) \\ \\ y+3=3x+15 \\ \\ \boxed{y=3x+12}

From the figures below, the line in red is 3x-y=7 while the line in blue is y=3x+12 and this line passes through the point (-5, -3)!

4 0
3 years ago
Read 2 more answers
Identify the range for the function.
Vilka [71]

Answer:

x= +2

f(x)= +8

Step-by-step explanation:

:3

5 0
3 years ago
Read 2 more answers
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