X and y vary inversely:
y=k/x

y=8/3 when x=8
8/3=k/8

Solving for k:
8(8/3)=k
64/3=k
k=64/3

y=k/x
y=(64/3)/x
y=(64/3)(1/x)
y=64/(3x)

when x=4→y=64/(3x)=64/(3(4))→y=16/3

Answer: Second Option y=64/(3x); 16/3

6 0

3 years ago

Pleaseeeeeeee I need help nowwwww

Tanya [424]

Answer:

(2)

Step-by-step explanation:

One property of a parallelogram is

• opposite angles are congruent, hence

∠L = ∠N and ∠M = ∠P

Using ∠L = ∠N, then

8x - 41 = 6x + 3 ( subtract 6x from both sides )

2x - 41 = 3 ( add 41 to both sides )

2x = 44 ( divide both sides by 2 )

x = 22

-------------

∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°

∠P = ∠M = 45° → (2)

6 0

4 years ago

A central angle of a circle with radius 150 cm cuts off an arc of 200 cm. Find each measure in Exercises 4 and 5.

Harrizon [31]

Answer:

Part 1) The exact value of the arc length is

Part 2) The approximate value of the arc length is

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5$ $in$

substitute

$C=2\pi (5)$

$C=10\pi$ $in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi }{360}=\frac{x}{150}$

$x=10\pi *150/360$

$x=\frac{25}{6} \pi$ $in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

6 0

2 years ago

Help me solve this proportional<br>equation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B9%20%2B%20x%7D%7B9%7D%20%20%3D%20

Blizzard [7]

Cross multiplication, 3(9+x) = 63
27+3x = 63
3x = 63-27 = 36
x=36/3=12

5 0

3 years ago