Given
MINING A mine produces 42.5 tons of coal per hour.
Find out the how much coal will the mine produce in 9.5 hours.
To proof
As given in the question
A mine produces 42.5 tons of coal per hour i.e in the 1 hour mine produces the 42.5 tons .
Let us assume that the coal produce in the 9.5 hours be x.
than the equation becomes
x = 9.5 × 42.5
x = 403 . 75 tons
403 . 75 tons coal will the mine produces in the 9.5 hours.
Hence proved
Answer:
24
Step-by-step explanation:
From the picture you can see that area is sume of area P1 and area P2.
a=6 because its egdes are on point -2 and 4, so it is 6. (See x-ose)
h=3 Edges on -2 and 1 (see y-ose)
k=2 edges on 3 and 1 on y-ose
P1=a*h=6*3=18
P2=a*k/2=6*2/2=6
P=18+6=24
Answer:
11. x = -3+√37 ≈ 3.08276
12. x = 11.2
13. x = -6 +6√5 ≈ 7.41641
Step-by-step explanation:
In each case, the relation of interest is ...
(distance to circle near) × (distance to circle far) = (distance to circle near) × (distance to circle far)
When there is only one point of intersection of the secant with the circle—because it is a tangent—then the product is the square of the length of the tangent.
11. 2(2+12) = x(x +6)
x² +6x -28 = 0
(x +3)² -37 = 0
x = -3+√37 ≈ 3.08276
12. 5(5+x) = 9(9)
5x +25 = 81
x = 56/5 = 11.2
13. x(x +12) = 12(12)
x² +12x -144 = 0
(x +6)² -180 = 0
x = -6 +√180 ≈ 7.41641
_____
<em>Comment on this secant rule</em>
This rule turns out to apply whether the point of intersection of the secant lines is outside the circle (as in these problems) or inside the circle (as in problem 9). The product of the two distances from the point of intersection to the circle is a constant for a given pair of intersecting secants/chords.
Answer:
Step-by-step explanation:
Angle 1 is equal to angle 3 because they are opposite each other so
Angle 1=43 degrees
Angle 1 and angle 2 have a sum of 180 degrees because they are adjacent to each other.
angle 2=180-43=137 degrees.
angle 2 and 4 are opposite each other so they are equal
angle 4=137 degrees.
