Ask question

Ask question

All categories

3 years ago

13

An exterior angle of an isosceles triangle has measure 150 degrees. Find two possible sets of measures for the angles of the tri

angle.

1 answer:

AVprozaik [17]3 years ago

8 0

Is it exterior as in on a line?? because 150 in a 360 angle is too small because 3601 -150 = 210 and that's too big for a triangle as it exceeds the rule of all angles in triangles add up to 180

You might be interested in

The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

Tasya [4]

Ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

In terms of fraction $\frac{\pi}{4}$

<em><u>Solution:</u></em>

Given that perimeter of a particular square and the circumference of a particular circle are equal

To find: ratio of the area of the square to the area of the circle

Let the side of square be "a" and radius of circle be "r"

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

<em><u>The circumference of circle is given as:</u></em>

Circumference of circle = 2πr

From given,

perimeter of a particular square and the circumference of a particular circle are equal

perimeter of a particular square = circumference of a particular circle

$4a = 2 \pi r\\\\a = \frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

We know that,

$\text{ Area of the square }= a^2\\\\\text{ Area of the circle }= \pi r^2$

Ratio of area of square to area of circle = $a^2 : \pi r^2$

Substituting the value of $a = \frac{\pi r}{2}$ in above ratio,

Ratio of area of square to area of circle = $(\frac{\pi r}{2})^2 : \pi r^2$

On reducing to lowest terms we get,

⇒ $\frac{\pi^2 r^2}{4} : \pi r^2 = \frac{\pi}{4} : 1$

In terms of fraction we get,

$\frac{\pi}{4} : 1 = \frac{\frac{\pi}{4}}{1} = \frac{\pi}{4}$

Thus ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

3 0

4 years ago

Find the area of the shape.

Sonbull [250]

Answer:

$\pi$ or 3.14

Step-by-step explanation:

The formula for the area of a circle is $\pi r^2$

If this quarter circle were to be a full circle, the area would be $4\pi$

Since this is a quarter circle as the angle is 90 degrees (which is a quarter of 360), the area of this shape is $\pi$ .

8 0

3 years ago

Read 2 more answers

1 3/8 + 3 1/4 = <br> (please explain)

Svetllana [295]

Answer:

$\frac{37}{8}$

Step-by-step explanation:

1 $\frac{3}{8}$ ---------> $\frac{11}{8}$

3 $\frac{1}{4}$ ---------> $\frac{13}{4}$ (multiply by $\frac{2}{2}$ ) -----------> $\frac{26}{8}$

$\frac{11}{8} +\frac{26}{8} =\frac{37}{8}$

3 0

3 years ago

Read 2 more answers

Given the functions f(x) = 3(0.56)^x and g(x) = 6(4)^x

rodikova [14]

A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.

g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.

B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6

C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536

7 0

3 years ago

What’s the geometric mean of 3 and 75

IRINA_888 [86]

The geometric mean for 3 and 75 would be 15.

8 0

4 years ago