Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
<u>Statement </u> <u>Reason</u>
<u> </u> Given
Subtract 9 from both the sides
<u></u><u> </u> Subtracting same number will not affect equation
Simplification
Multiplying by 5 both the sides
x= 10 By simplifying both the sides
Thus we solved the equation and got x =10 as answer.
Answer:
If we increase the income by 1% that means that the new income would be 1.01 the before one and if we replace this we got:
And the net increase can be founded like this:
So then the net increase would be:
C. 0.36 points
Step-by-step explanation:
For this case we have the following linear relationship obtained from least squares between test scores and the student-teacher ratio:
If we increase the income by 1% that means that the new income would be 1.01 the before one and if we replace this we got:
And the net increase can be founded like this:
So then the net increase would be:
C. 0.36 points
Answer:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Step-by-step explanation:
For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft
We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft