Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
If an is a5
and
an-1 is a4
then using your recursive formula for an arithmetic sequence
an=an-1 +d
then
a5=a4+d
now, a4 =6 and common difference "d" is d=-11
hence
a5=6 -11
6-11= -5
any questions?
You can find the area of a hemisphere by using the following equation
V = (2/3) (pi)*r^3
so V = (2/3) (pi)*1.6^3
Which comes out as 8.5786423394 or 8.6
Answer:
37/5 or 7.4 or 7 2/5
Step-by-step explanation:
<em>I hope this helps! Have a great day!!</em>
<em>Skye~</em>
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
