Answer:
310°
Step-by-step explanation:
The sum of arcs around a circle is 360°.
MPN +MN = 360°
MPN = 360° -MN . . . . . . . . subtract MN
MPN = 360° -50° = 310° . . . fill in the given value
The measure of major arc MPN is 310°.
Answer:
14,850
Step-by-step explanation:
You need the sum of
3 + 6 + 9 + 12 + ... + 294 + 297
Factor out a 3 from the sum
3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)
You need to add all integers from 1 to 99 and multiply by 3.
The sum of all consecutive integers from 1 to n is:
[n(n + 1)]/2
The sum of all consecutive integers from 1 to 99 is
[99(99 + 1)]/2
The sum you need is 3 * [99(99 + 1)]/2
3 + 6 + 9 + 12 + ... + 294 + 297 =
= 3 * [99(99 + 1)]/2
= 3 * [99(100)]/2
= 3 * 9900/2
= 14,850
Answer:
A. $2,000
Step-by-step explanation:
<em>Assuming that the money in the savings account will be used to pay off for tractor.</em>
<em>let the number of months be m</em>
Savings after m months will be 500+ 150m
After m months the installments paid will 200m
To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:
500+150m +200m = 4000
150m + 200m = 4000-500 <em>(grouping like terms)</em>
350m = 3500 <em>(Making m the subject of the formula)</em>
350m/350 = 3500/350
m = 10
Substituting m into the equation of saving after m months
<em>Savings after m months will be</em> 500+ 150m
<em>Savings after m months will be</em> 500 + 150(10)
<em>Savings after m months will be</em> 500 + 1500
Savings after m months will be $2000
40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.
She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004
The number she started with is 0.4.
The power is 10^5.
Answer:
10.5
Step-by-step explanation:
b=15/tan(55 degrees)=10.5
AC=10.5
