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3 years ago

Use the ratio of a 45-45-90 triangle to solve for the variables

Mathematics

2 answers:

Snezhnost [94]2 years ago

8 0

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

allsm [11]3 years ago

4 0

Answer:

1:1:√ 2

Step-by-step explanation:

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3 years ago

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Suppose the volume of milk in a glass is 230 cubic cm. If 1 gallon of milk equals 3.79 liters, how many glasses of milk are in 1

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3 years ago

the sum of three times one number, x, and five times a second number,y, is 77. if the sum of the two numbers is 19, find the two

HACTEHA [7]

Answer:

x=9, y=10. (9, 10). The two numbers are 9 and 10.

Step-by-step explanation:

3x+5y=77

x+y=19

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

3x+5y=77

-3(x+y)=-3(19)

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

3x+5y=77

-3x-3y=-57

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

2y=20

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5 0

3 years ago

20% of dash is equal to 140M

AlexFokin [52]

ANSWER: The length of the entire dash is 700 meters.

EXPLANATION:

Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.

Let x be the length of the entire dash.

$.2x = 140\\\\x = 700$

The length of the entire dash is 700 meters.

7 0

3 years ago

What is the exact distance from (-5,1) to (3,0).

Ilya [14]

Answer:

The distance between the two points is $\sqrt{65} \ \text{units}.$

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

$\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

$\bullet \ \ \ (x_1, y_1), (x_2, y_2)$

This assigns a name to our points:

$x_1 = -5$
$y_1 = 1$
$x_2 = 3$
$y_2 = 0$

Therefore, we can plug these into the formula and solve:

$d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}$

Therefore, the distance between the two points is $\sqrt{65} \ \text{units}$ .

5 0

2 years ago

Use the ratio of a 45-45-90 triangle to solve for the variables​

Use the ratio of a 45-45-90 triangle to solve for the variables