Answer:
-2.1f-18
Step-by-step explanation:
-2.4f+0.3f=-2.1f.
-16-3=-19
Answer:
3x + 2
Step-by-step explanation:
x = 1x but leaving the x alone equals the exact thing.
If there are x + x + x, this means 3x since it is also
1x + 1x + 1x.
This is another expression for 3x + 2.
Answer:
2598 units²
Step-by-step explanation:
Sum the parts of the parts of the ratio 3 + 5 + 7 = 15 parts
Divide the perimeter by 15
300 ÷ 15 = 20 ← value if 1 part, thus sides of triangle are
3 × 20 = 60
5 × 20 = 100
7 × 20 = 140
Using Hero's formula to calculate the area
A = 
where s is the semi perimeter and a, b , c are the sides of the triangle
s = 300 ÷ 2 = 150
let a = 60, b = 100 and c = 140, then
A = 
= 
= 
≈ 2598 units²
9514 1404 393
Answer:
A. 2×10³
Step-by-step explanation:
The ratio of diameters is ...
(189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³
The diameter of the peach became about 2×10³ times as large.
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
