Answer:
1.25
Step-by-step explanation:
Because they are equal triangles, all of their sides are equal
so, lets take one side of each triangle (4, 5)
the law:
the scale factor = the larger side ÷ the smaller side
x = 5 ÷ 4
x = 1.25
For checking:
the larger side = the smaller side × the scale factor
Y = 4 × 1.25
Y = 5
The absolute value of -54 is 54.
So The answer is A
Answer:
Option 1
Step-by-step explanation:
The shaded area is 2/3 and it is divided into 1/9 pieces. So, 2/3 divided by 1/9 which equals 6 pieces. The only equation that matches this is option 1.
Answer:
40 Km
Step-by-step explanation:
Cross-multiply (rule of three)
2.5 cm--------10 Km
10 cm-----------x Km
2.5/10 = 10/x
so
x = 100/2.5 = 40 Km
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
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