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Oliga [24]
3 years ago
15

Solve for y.

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

y = \frac{2}{9}

Step-by-step explanation:

multiply \frac{2}{3} by \frac{3}{3} to get \frac{6}{9}:

\frac{6}{9} + y - \frac{1}{9} = \frac{7}{9}

simplify:

y + \frac{5}{9} = \frac{7}{9}

subract \frac{5}{9} from both sides:

y = \frac{2}{9}

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Three right triangles are drawn in the coordinate plane,
SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

<u>Triangle A</u>

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

SL_{A} = 8 - 5 = 3

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

LL_{A} = 2 - (-8) = 10

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4

<u>Triangle B</u>

The SL is from (3, -9) to (7, -9)

The length of the SL is:

SL_{B} = 7 - 3 = 4

The LL is from (7, -9) to (7, 4)

The length of the LL is:

LL_{B} = 4 - (-9) = 13

The hypotenuse is:

H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6

<u>Triangle C</u>

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

SL_{C} = -1 - (-6) = 5

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

LL_{C} = -3 - (-10) = 7

The hypotenuse is:

H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6

I hope it helps you!

5 0
3 years ago
The figure shows a circle within a square. Find the
slega [8]

Step-by-step explanation:

let the side length of the square = the diameter of the circle = X

therefore the circumference of the circle is

π×X or 3.14X units

7 0
3 years ago
There Are 200 Employees In your company. Fifty of them do not have company health insurance . What Percentage Of the employees d
Anettt [7]
25 percent of the employees does not have company Health Insurance
5 0
4 years ago
Read 2 more answers
Andie has a blue sweater, a red sweater, and a purple sweater. She has
Sonja [21]

Answer:

Step-by-step explanation:

blue sweater white shirt

red sweater white shirt

purple sweater white shirt

blue sweater tan shirt

red sweater tan shirt

purple sweater tan shirt

so it is 6

7 0
3 years ago
If the perimeter of a rectangle is 54 yards and the length is 3 yards longer than the width, then what is the width?
Tems11 [23]

Answer:

width = 12 yards

Step-by-step explanation:

width: x

length: x + 3

perimeter: 54

x + x + (x + 3) + (x + 3) = 54

4x + 6 = 54

subtract 6 from both sides

4x = 48

x = 12

width: 12

length: 12 + 3 = 15

6 0
3 years ago
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