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4 years ago

An angle measures 25 what is the measure of its complement

Mathematics

1 answer:

Zanzabum4 years ago

5 0

The answer is 25 because u said it was 25

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

The circle above has a radius of 3 cm. What is the area of the circle?

qwelly [4]

Well basically the formula for the area of the circle is pi r squared. First you square 3 which is 9 and then you times it by 3.14 which gives you 28.26.Hope this helps!

4 0

3 years ago

I could use some help on this

jok3333 [9.3K]

Answer:

the answer is B

3 0

3 years ago

What is equation of the line that passes through the point (-3,8) and has an undefined slope

aniked [119]

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3

<u>Solution:</u>

Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope

Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.

If the slope of the line is undefined, then, by definition the line is a vertical line.

For a vertical line, the value of x is the same for each and every value of y

Given point is (x, y) = (-3 , 8)

Because the value of x in the point provided in the problem is -3, we get

Equation of line is : x = -3

8 0

4 years ago

Which amount is a reasonable tip for an airport skycap? $2 total $2 per bag $5 per bag $10 per bag

Allushta [10]

Hey there!

Every bag is $2

Hope I helped!!

Let me know if you need anything else!

~ Zoe

3 0

3 years ago