Answer:
x = 45 degrees
Step-by-step explanation:
The angles in a triangle adds up to 180 degrees
105 + 30 + x = 180
==>
x = 180-135=45
Step-by-step explanation:
When the inequality uses < or >, it is a broken line.
For the point (0, 0) it means that x = 0 and y = 0.
Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.
Answer:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
7.75 × 10^−3
Is there a picture to this?
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

To find the area of the circumscribed circle:

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

The area of the triangle is:

The semiperimeter of the triangle is:

The radius of the circle is therefore 
The area of the inscribed circle then is
.
Hope this helps!