The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.

5 0

3 years ago

Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :

lesya [120]

Answer:

x = 10 $\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{20}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 20 $\sqrt{3}$ ( divide both sides by 2 )

x = 10 $\sqrt{3}$

3 0

3 years ago

What is the circumference of a circle with a radius of eight inches

stira [4]

Answer:

50.24 inches

$\:$

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

$\:$

To find the circumference of the circle we must know this formula first :

$\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\$

Where

r is the radius of the circle.

We'll take the value of π as 3.14

Now substituting the values in the formula :

$\\{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 2 \times 3.14 \times 8}}}}}} \: \: \\ \\$

${ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 3.14 \times 16}}}}}} \: \: \\ \\$

${ \longrightarrow \qquad{ { \pmb{\frak{{ \: Circumference_{(circle)}= 50.24}}}}}} \: \: \\ \\$

Therefore,

The circumference of the circle is 50.24 inches

7 0

2 years ago

Read 2 more answers

How do I draw a visual model using 1/6 of 18? Please help. I'm asking for my 5th grader. Thank you!

svp [43]

Answer:

Theory

Step-by-step explanation:

Take any 18 objects

For example in this case

Take 18 chocolates

$\frac{1}{6}$ means one sixth , which practically means how many groups of 6 can be formed

So, Try to divide 18 into groups of 6

Count how many such groups are formed(it will be 3)

So one sixth of 18 is 3

That is, 18 comprises of 3 groups, each group containing 6 chocolates

5 0

3 years ago