Answer:
9 3/4 cups of sugar
Step-by-step explanation:
The value of line AL is 21. 51cm
<h3>How to determine the length</h3>
To find line AL,
Using
Sin α = opposite/ hypotenuse to find line AB
Sin 90 = x/ 24
1 = x/24
Cross multiply
x = 24cm
Now, let's find line AC
Sin angle B = line AC/24
Note that to find angle B
angle A + angle B + angle C = 180
But angle B = 2 Angle A
x + 2x + 90 = 180
3x + 90 = 180
3x = 180-90
x = 30°
Angle B = 2 × 30 = 60°
Sin 60 = x/ 24
0. 8660 = x/24
Cross multiply
x = 24 × 0. 8660
x = 20. 78cm
We have the angle of A in the given triangle to be divide into two by the bisector, angle A = 15°
To find line AL, we use
Cos = adjacent/ line AL
Cos 15 = 20. 78/ line AL
Line AL = 20. 78/ cos 15
Line AL = 20. 78 / 0. 9659
Line AL = 21. 51 cm
Thus, the value of line AL is 21. 51cm
Learn more about trigonometry ratio here:
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19.635 square inches.
Assuming that the pots are arranged in a straight line, each pot would have a diameter of 5, because 5 • 3 = 15, and 15 is the length of the box. The radius of the base of one pot is therefore 2.5.
A = pi • r^2 = pi • 2.5^2 = 19.635 (approximation)
Answer:
468
Step-by-step explanation:
Set it up like the following-
18
26
--------
108
360
--------
408
Take the right number (6) and multiply it with 18
6 x 18 = 108
Now do the same with 2, except put a 0 at the end
2 x 18 = 36
add 0
360
Add both numbers-
360 + 108 = 468
The sequence is defined as
an = 3an - 1 + 7
This means that
a2 = 3(a(2 - 1) + 7
a2 = 3a1 + 7
From the information given ,
a1 = - 4
Thus,
a2 = 3 * - 4 + 7 = - 12 + 7
a2 = - 5
a3 = 3(a(3 - 1) + 7
a3 = 3a2 + 7
a3 = 3 * - 5 + 7 = - 15 + 7
a3 = - 8
a4 = 3(a(4 - 1) + 7
a4 = 3a3 + 7
a4 = 3 * - 8 + 7 = - 24 + 7
a4 = - 17
Thus, the first four terms of the sequence are
- 4, - 5, -
