A and 0 both equals 45 degrees
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
or, (9 + 3)/2x = 2
or, 12 = 4x
or, x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
Answer:
AB = sqrt 74 = 8.602
Step-by-step explanation:
simple:
a^2+b^2=c^2
5^2+7^2=74
ab=sqrt 74
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(8−3)2+(2−9)2(8-3)2+(2-9)2
= √52+(−7)252+(-7)2
= √25+4925+49
= √7474 = 8.6023
Distance between points (3, 9) and (8, 2) is 8.6023
The area of the screw head is 93.5m².
<h3>How to calculate the area?</h3>
The area of the hexagon can be illustrated based on the formula:
A = 3✓3/2 × a²
Base = 12.
Height = 3.
Area of each triangle = 0.5 × 12 × 3 = 18
Area of the rectangle = 12 × 6 = 72
Therefore the area of the screw head will be:
= 3√3/2 × 72
= 93.5m²
Learn more about area on:
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Answer:
ln 3
Step-by-step explanation:
3 ln 3 - ln 9
We can rewrite 9 as 3^2
3 ln 3 - ln 3^2
We know lnx^a = aln x
3 ln 3 - 2 ln 3
ln 3
