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3 years ago

The ordered pairs represent a function.

Mathematics

1 answer:

Goryan [66]3 years ago

6 0

(0,-1)(1,0)(2,3)(3,8)(4,15)

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Find the missing sides.

love history [14]

Answer:

Part 3)

$x=6\ units$

$y=3\ units$

Part 4) $x=18\sqrt{2}\ units$

Step-by-step explanation:

Part 3)

step 1

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

$cos(30\°)=\frac{3\sqrt{3}}{x}$

and remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

Simplify

$x=(2*3)=6\ units$

step 2

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

$sin(30\°)=\frac{y}{x}$

and remember that

$sin(30\°)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{y}{6}$

$y=6/2=3\ units$

Part 4) Find the value of x

Applying the Pythagoras Theorem

$x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units$

Simplify

$x=18\sqrt{2}\ units$

6 0

3 years ago

Find the number that belongs in the green box. round your answer to the nearest tenth.

Leona [35]

Step-by-step explanation:

By Sine Rule, 13/sin96° = x/sin25°.

Hence, x = 13sin25°/sin96° = 5.5.

8 0

3 years ago

A) Work out an estimate for

SashulF [63]

A) 20.6 x 11.4 : 21 x 11 = 252
6.9 x 3.6 : 7 x 4 = 28
252/28 = 9
b) Each number has been multiplied by 10 so for 4 numbers 9 x 10000 = 90000

4 0

3 years ago

What is the range of possible sizes for side x?

Sunny_sXe [5.5K]

Answer:

The possible values of x can be determined using the triangle inequality theorem.Step-by-step explanation:

Applying the theorem, we have; Thus, one of the possible value of x is 0.

8 0

3 years ago

If i have a pay rate of $21.00 and marked up 78.7% and made a 10% profit. how did i get $41.28?

Virty [35]

Step-by-step explanation:

Since we have given that

Amount of pay rate =$21

If she marked up by 78.7% , so it becomes

$78.7\%\text{ of}\$21\\\\=\frac{78.7}{100}\times \$21\\\\=\$16.527$

So, our amount for pay rate becomes

$21+16.527\\\\=\$37.527$

Now, he said he made a profit of 10%,so it becomes

$10\%\text{ of }37.527\\\\=\frac{10}{100}\times 32.527\\\\=\$3.7527$

So, our new pay rate becomes

$37.527+3.7527\\\\=\$41.2797$

This is the step through which we can get $41.28.

4 0

3 years ago