Answer:
2 × 3 × 7
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Answer:
$108.19
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.6%/100 = 0.036 per year.
Solving our equation:
P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838
P = $108.19
The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.
Hope this helps!
a
2
+
10
a
+
25
Rewrite
25
25
as
5
2
5
2
.
a
2
+
10
a
+
5
2
a
2
+
10
a
+
5
2
Check the middle term by multiplying
2
a
b
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
a
⋅
5
