Answer:
8 and 10
Step-by-step explanation:
a) simply 8+10
b) by eqn : 2n+2n+2=18, 2*2n=16, 2n=8, hence 8 and 10.
Awnser :
$99.50 (F)
explanation:
485.30 - 186.80 = 298.5
298.5 / 99.50 = 3
3 x 99.50 = 298.5
Answer:
x=2
y=1
Step-by-step explanation:
2x+y=5
3x+2y= 8
<=> 6x+3y=15
6x+4y=16
<=> -y=-1
2x+y=5
<=> y=1
2x+1=5
<=> y=1
2x=4
<=> y=1
x=2
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3
V = Pie * radius squared* height.
Pie is 3.142
radius is 6.18/2 = 3.09 cm
height is 6cm
V = 3.142 * 3.09 * 3.09 * 6
V = 180cm3
Now we divide the volume of this cylinder with the volume of block of gold.
360/180 = 2
So it will take 2 cylinders to mold one block of gold.
