Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Volume of a sphere = (4/3) (pi) (radius)³
The sphere's volume is proportional to the cube of its radius,
so the radius is proportional to the cube-root of the volume.
The only way to double a sphere's volume is to increase
its radius by the factor of
∛2 = 1.26 (rounded).
Answer:
°
Step-by-step explanation:
A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:

Simplify,



Answer:
y=250x+300
Step-by-step explanation:
Let x be the number of heaters and y be the total cost.
We need to find the linear function for y in terms of x.
It is given that company can produce 15 heaters for $4050 and 25 heaters costs $ 6550.
It means the line passes through the points (15,4050) and (25,6550).
If a line passes through two points
and
, then the equation of line is

The equation of line is




Add 4050 on both sides.


Therefore, the required linear function is y=250x+300.