New average
Therefore, the boy's new average is 33%
Answer:
Distance=9.43 units
Step-by-step explanation:
When you have two coordinates and you need to find the distance between them, you can use the distance formula.
D=sqrt(7-2)^2+(3-(-5))^2
D=sqrt(5^2+8^2)
D=sqrt(25+64)
D=sqrt89
D=9.43, rounded to the nearest hundredth.
Therefore, your distance would be 9.43 units.
I hope this helped! Have a good rest of your day~
32, i believe is the answer
Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
