The answer is 96 min, here is why:
x / 240 + x / 160 = 1
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min
(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
Answer:
After 16 years …mr James age =4X+16 and his son's age will be X+16
As per the question in 16 years his age will be 2 twice
(4X+16)=2(X+16)so by simplifying this we will get 2X=16..and X=16/2=8
Step-by-step explanation:
The question seems incomplete, as the length of the hour hand isn't given ;
If the tip of the hour hand is taken as 30mm
Answer:
534.1 mm
Step-by-step explanation:
In 2 hours ; cycle performed :
2/ 12
Circumference of a circle = 2 * pi *r
Circumference = 2 * pi * 30 = 60pi
Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi
The minute hand travels 2 comply cycle in 2 hours
150% taller than short hand :
1.5 * 30 = 45 mm
Distance traveled : 2 (2 * pi * 45) = 180pi
(180pi - 10pi) = 170pi
170π = 534.07075
= 534.1 mm
Answer:
Step-by-step explanation:
Start
<F = <Q Given
<GPF = <RPQ Vertically opposite angles
<FGP = <QRP A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27 Given
KL /LD = 90/27 Given
<JLK = <DLK Vertically opposite
Are the ratios equal Yes Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal No then the triangles cannot be similar
Is the angle not included Then similarity cannot be proved.
ΔJLK ≈ ΔDLK Equal Ratios and included angle === similarity
