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3 years ago

Find the exact value of y.

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

$y = \sqrt{3}$

Step-by-step explanation:

Use 45-45-90 triangle proportions y: y : y $\sqrt{2}$

The hypotenuse is y $\sqrt{2}$ so $\sqrt{6}=y\sqrt{2}$

y = $\sqrt{3}$

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The amount of money Chaz earned for walking dogs is given in the table. Can the relationship be described by a constant rate? Ex

mojhsa [17]

Answer:

Yes, the relationship can be described by a constant rate of $18.75 per dog

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x ----> the number of dogs

y ---> the amount of money earned

we have the points

$(6,112,50), (8,150), (11,206.25)$

step 1

Find the slope with the first and second point

$(6,112,50), (8,150)$

$m=(150-112.50)/(8-6)=18.75$

step 2

Find the slope with the first and third point

$(6,112,50), (11,206.25)$

$m=(206.25-112.50)/(11-6)=18.75$

Compare the slopes

The slopes are the same

That means, that the three points lies on the same line

therefore

Yes, the relationship can be described by a constant rate of $18.75 per dog

7 0

3 years ago

A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost

Vera_Pavlovna [14]

$30 because 12/6 = 2 so 15 x 2 = 30

4 0

3 years ago

the scale of a model railroad set is 3.5 millimeters to one foot if the length of a model car in the set is 150 millimeters what

Montano1993 [528]

$\bf \begin{array}{ccll} \stackrel{mm}{model}&\stackrel{ft}{actual}\\ \cline{1-2} 3.5&1\\ 150&x \end{array}\implies \cfrac{3.5}{150}=\cfrac{1}{x}\implies x=\cfrac{150\cdot 1}{3.5}\implies x\approx 42.86$

6 0

3 years ago

Read 2 more answers

Four people recorded the miles they drove and the time they spent driving. The table below shows

Irina-Kira [14]

Answer:

C: Charles

Step-by-step explanation:

165 miles divided by 6 hours

165/2.5

66 miles in one hour

8 0

3 years ago

The circumference of Circle K is $\pi$ . The circumference of Circle L is $4\pi$ . Two circles, one labeled "Circle K" and the o

timurjin [86]

Answer:

Step-by-step explanation:

Given the circumference of Circle K = π

circumference of Circle L = 4π

Ratio of their circumferences = Ck/Cl

Ratio of their circumferences = π/4π

Ratio of their circumferences = 1/4 = 1:4

For their radii

C = 2πr

for circle k with circumference π

π = 2πrk

1 = 2rk

rk = 1/2

for circle l with circumference 4π

4π = 2πr

4 = 2r

r = 4/2

rl = 2

ratio

rk/rl = 1/2/2

rk/rl = 1/4 = 1:4

for the areas

Area of a circle = πr²

for circle k

Ak = π(1/2)²

Ak = π(1/4)

Ak = π/4

for circle l

Al = π(2)²

Al = 4π

Ratio of their areas

Ak/Al = π/4/(4π)

Ak/Al = π/16π

Ak/Al = 1/16 = 1:16

3 0

3 years ago