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3 years ago

9

Suppose that x and y vary inversely, and x=30 when y=2. Find y when x=5

1 answer:

Sedbober [7]3 years ago

4 0

I don’t know- the first thing I would think is that x=15*y because 30=15*2

So that’s my thinking, which means that if x=5, then y=5/15 or 1/3 or as a decimal .33

However I’m not sure if that’s right- I hope it helps!

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Use the graph shown to evaluate the composition <br><br>(f○g)(0)

andrey2020 [161]

<u>Function</u> <u>composition</u> is applying one function to the <u>results</u> of another:

$\rightarrow g(x)\rightarrow f(x)\rightarrow$

This means the result of g() is sent through f(). Written notation for the composition is

$(f\circ g)(x)=f(g(x)).$

Note that $g(0)=2,$ then

$(f\circ g)(0)=f(g(0))=f(2).$

Since $f(2)=3,$ then

$(f\circ g)(0)=f(2)=3.$

Answer: $(f\circ g)(0)=3.$

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3 years ago

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The spokes of a bicycle wheel form 10 congruent central angles. The diameter of the circle formed by the outer edge of the wheel

Yuki888 [10]

Answer:

$5.6$ inches.

Step-by-step explanation:

The length of the outer edge of the wheel between two consecutive spokes is given by;

$l=d\sin(\frac{\theta}{2} )$

where d=18 inches.

and

$\theta=\frac{360\degree}{10}=36\degree$ is the central angle.

We substitute the values to obtain;

$l=18\sin(\frac{36\degree}{2})$

$l=18\sin(18\degree)$

$l=5.562305899$

$l=5.6$ inches to the nearest tenth.

8 0

4 years ago

Based on the diagram below, what is the measure of arc DC ?

emmainna [20.7K]

Given:

A diagram of a circle O, $arc(AB)=y^\circ, arc(CD)=(80+y)^\circ$ .

To find:

The measure of arc DC.

Solution:

According to the angle of intersecting chords theorem:

Angle at intersection of chords = Half of the sum of intercepted arcs.

Let $\theta$ be the angle between the intersection of chords AC and BD.

$\theta +112^\circ=180^\circ$ (Linear pair)

$\theta =180^\circ-112^\circ$

$\theta =68^\circ$

Using the angle of intersecting chords theorem, we get

$\theta=\dfrac{arc(AB)+arc(CD)}{2}$

$68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}$

$136^\circ =(80+2y)^\circ$

On simplification, we get

$136=80+2y$

$136-80=2y$

$56=2y$

Divide both sides by 2.

$28=y$

Now,

$arc(DC)=(80+y)^\circ$

$arc(DC)=(80+28)^\circ$

$arc(DC)=108^\circ$

Therefore, the correct option is C.

5 0

3 years ago

A blueprint of a bedroom has a scale of 1 4 inch is equivalent to 1 foot. If the closet measures 1 2 inch by 3 4 inch on the blu

Murljashka [212]

Answer:

The actual dimensions of the closet are 2 ft by 3 ft.

Step-by-step explanation:

According to the scale, 1/4 inch <--> 1 foot

The closet dimensions on the scale are (1/2 inch, 3/4) or (2/4 inch, 3/4). Let the real closet dimensions be (x,y).

In this case, the rule of three can be applied to find the missing term of a proportion:

$x*\frac{1}{4} = 1*\frac{2}{4}\\x=2\\y*\frac{1}{4} = 1*\frac{3}{4}\\y=3$

The actual dimensions of the closet are 2 ft by 3 ft.

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4 years ago

What is the length of EF?

ANEK [815]

The slope is 5/4.

5²+4²=41
√41=6.4
EF=6.4 units.

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3 years ago

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