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svet-max [94.6K]
3 years ago
14

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}

You might be interested in
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
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