Answer:
2348.25 m or 2348 1/4
Step-by-step explanation:
101/2 x 15 1/2 x 3 = 2348.25
Answer:
The angle that the line makes with x-axis of of 64.3º.
Step-by-step explanation:
Equation of a line, and angle with the x axis:
The equation of a line has the following format:
In which m is the slope.
The angle that the line makes with the x axis is given by the angle which has tangent m, that is, 
.
In this question:
We have that 
. So
The angle that the line makes with x-axis of of 64.3º.
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
P1 = 10 m²
P2 = 22 m²
P3 = ?
According to Pythagoras' theorem:
P1 + P2 = P3
P3 = 10 m² + 22 m² = 32 m²
