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2 years ago

Correct answers only please!

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

Answer:

62.7°

Step-by-step explanation:

9 = Hypotenuse

8 = Opposite

In this question we have to use some trigonometry to work out angle EFG. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 8 ÷ 9

The value of angle EFG is 62.73395555

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Vertical angles congruence theorem, then SAS

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2 years ago

Work out the volume of a cuboid <br> 10cm by 3cm by 2cm?

Firlakuza [10]

10 x 3 x 2 = the volume
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3 years ago

Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)

Mila [183]

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Step-by-step explanation:

Given equation of line is:

$y=-0.75x$

The coefficient of x is the slope of the line so the slope of given line is: -0.75

As parallel lines have equal slopes so the required equation of line will have the same slope.

The slope-intercept form is:

$y = mx+b$

Putting the value of the slope

$y = -0.75x+b$

To find the value of b, putting the point in the equation

$0 = -0.75(8)+b\\0 = -6+b\\b = 6$

Putting the values of m and b, we get

$y = -0.75x-6$

Hence,

Equation of line parallel to y = -0.75x that passes through (8,0) is: y = -0.75x-6

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

henry is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, and a history textbook. how many dif

Brums [2.3K]

Answer:

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

6 0

1 year ago

Convert each degree measure into radians

dimaraw [331]

radians = degrees x PI/180

radians = 60 x pi/180 = 1.04719 radians

round answer as needed

if you need it in terms of pi it would be PI/3 radians

7 0

2 years ago