Answer:
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
The width is 10 cm and the length is 12 cm.
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
The is the radius of the circle, to find radius from diameter we can divide the value by 2.
Let’s find the area now.
Find the area of rectangle.
Length × Width.
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
Answer:
117000000000
Step-by-step explanation:
117000000000
=1.17^11
or 1.17e+11
Answer:
It diverges.
Step-by-step explanation:
We are given the inetegral:
So it is divergent.
We know, widest angle is always opposite to the largest side of the triangle, as largest side is 50 here (which is backward to house) so largest angle would be opposite to it. So, that corner will be touched by Fence A & B
"Proportionality Theorem" compares the sides of the same triangle
Here, According to that theorem,
ST / RS = UT / PU
If FG is an altitude, then <DFG is an right triangle.
In short, Your Answer would be Option B
For last question here, remember, longest side must be greater than either side, and must be smaller than sum of those smaller sides.
9514 1404 393
Answer:
m∠SVW = 80°
Step-by-step explanation:
3. The sum of <em>same-side interior</em> angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.
4x + 5x = 180
9x = 180 . . . . . . . . collect terms
x = 20 . . . . . . . . . . divide by 9
m∠SVW = 4x° = 4(20)°
m∠SVW = 80°
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4. Then m∠VWT = 180° -80° = 100° = 5x°.
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5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)