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olga nikolaevna [1]
3 years ago
6

The square and the equilateral triangle have the same perimeter find the perimeter of each figure

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
Sorry this is a dare but can u whip
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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th
Fed [463]

Here a right angled triangle given. one angle with measure 45^o given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle 45^o is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}, where x is the angle given.

To get x, we will use tan. So we will get,

tan(45^o) = \frac{4}{x}

We know the value of tan(45^o) = 1. By substituting the value we will get,

1 =\frac{4}{x}

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

(1)(x) = (\frac{4}{x}) (x)

x = 4

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

sin(45^o) =\frac{4}{y}

we know the value of sin(45^o) =\frac{\sqrt{2}}{2}

By substituting the value we will get,

\frac{\sqrt{2}}{2}  = \frac{4}{y}

By cross multiplying we will get,

(\sqrt{2}) (y) = (4)(2)

\sqrt{2}y = 8

We will get y by dividing both sides by \sqrt{2}, we will get,

\frac{\sqrt{2}y}{\sqrt{2}}   =\frac{8}{\sqrt{2} }

y =\frac{8}{\sqrt{2}  }

Now we will rationalize the denominator by multiplying \sqrt{2} to the top and bottom.

y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}

y =\frac{8\sqrt{2}}{2}

y = 4\sqrt{2}

So we have got the required values of x and y.

8 0
3 years ago
Read 2 more answers
Name the types of angles shown.
PIT_PIT [208]
< ABC is a straight angle
no right angles
no complimentary angles
< ABD and < DBC are supplementary angles


7 0
3 years ago
Read 2 more answers
A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalen
Brut [27]

Answer:

  • Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

<u>Given expressions</u>

  • 4x - x + 5 = 3x + 5
  • 8 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

<u>Answer options</u>

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent

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

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

  • Incorrect. There are 2 values- variable and constant

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

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

  • Incorrect. Positive outcome doesn't mean equivalent.

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

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

  • Correct.  
3 0
3 years ago
You travel 5 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 6 miles upstream at a speed
Vlad1618 [11]
Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph 
3 0
3 years ago
What is 69+69-69+1-1+0
MariettaO [177]
The answer is 69 , because it just cancels out the numbers
7 0
2 years ago
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