Answer:
1900
Step-by-step explanation:
nearest 100 of 713 =700
nearest 100 of 1196 = 1200
9514 1404 393
Answer:
V ≈ 154.1 in³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)π(4.4 in)²(7.6 in) ≈ 49.045π in³
V ≈ 154.1 in³
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<em>Additional comment</em>
If you use 3.14 for π, your result will be 154.0 in³.
Part A:
Given that <span>FG is the midsegment of isosceles triangle ABC, by the triangle midsegment theorem, we have that BF = FC and AG = GB.
Thus, BC = BF + FC = 2BF (since BF = FC)
Therefore, the measure of side BC is 2(20 mm) = 40 mm
Part B:
Similarly by the triangle midsegment theoren, GF = 1/2AC.
Given that the measure of side AC is 30 mm, therefore, the measure of side GF is 1/2(30 mm) = 15 mm
Part C:
From the given figure, EG = GF = AD.
Since, we obtained from part B that the measure of side GF is 15 mm, thus EG = GF = AD = 15 mm.
CD = CA + AD = 30 mm + 15 mm = 45 mm
Therefore, the measure of side CD is 45 mm.
Part D:
Given that EF is parallel to KM is parallel to DC, BA is a transversal such that EG = DA, this implies that line DE is parallel to line AG.
Since, line DE is parallel to line AG and KM is the midsegment of trapezoid CDEF, this implies that line KL is parallel to line DE is parallel to line AG. And ADEG forms a parallelogram with KL as the midsegment. This means that EG = KL = DA = 15 mm.
Also, LM is halfway between GF and AC, and thus the measure of line LM is the average of the measures of line GF and AC.
Thus, LM = (15 mm + 30 mm) / 2 = 45 mm / 2 = 22.5 mm
Therefore, the measure of line KM = The measure of line KL plus the measure of line LM = 15 mm + 22.5 mm = 37.5 mm
</span>
She can buy 16 cabbages .
Answer:
Part a) The elevation of the road is
Part b) The rise is
Step-by-step explanation:
Part a) What is the elevation of the road to the nearest degree?
Let
y-----> the rise of the road ( vertical distance)
x ----> the run of the road (horizontal distance)
we have
y/x=1/10
we know that
The ratio y/x is equal to the tangent of the angle of the elevation of the road
Let
----> angle of the elevation of the road
Part b) If the road is two km long, how much does it rise?
using proportion