S2. Express the following decimals in the expanded form using exponents. (a) 8.289 (b) 0.0089 (c) 4.000189
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3. Look at the picture.
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:
4.
Look at the picture.
Use Pythagorean theorem:
5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:
We have:
Now, we must find the slope of the line perpendicular to the line OP.
We know:
therefore
So. We have the answer! :)
We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:
4.
Look at the picture.
Use Pythagorean theorem:
5.
TRUE: 1; 2; 4
6.
We find a slope of the line OP:
We have:
Now, we must find the slope of the line perpendicular to the line OP.
We know:
therefore
So. We have the answer! :)
The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.