Rachel has tossed a fair coin ten times. It landed heads up every time. Is this POSSIBLE?

1 answer:

4 0

Yes, although this is unlikely as every time she flips the coin there is a 50% chance of getting heads. Therefore, there is a possibility of her getting heads every time

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A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how hig

joja [24]

String is the hypotenuse
angle is 58 degrees
sine (58) = height / 50
height = 50 * .84805
height = 42.4025

4 0

3 years ago

Prove the identity sin(x-y)/cosxsiny=tanxcoty-1

photoshop1234 [79]

Step-by-step explanation:

$\frac{sin(x - y)}{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \: cos \: y -cos \: x \: sin \: y }{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \: cos \: y }{cos \: x \: sin \: y} + \frac{-cos \: x \: sin \: y }{cos \: x \: sin \: y} \\ \\ = \frac{sin \: x \:}{cos \: x } \times \frac{cos \: y }{sin \: y} - 1 \\ \\ = tan \: x \: cot \: y - 1 \\ \\ \therefore \: \frac{sin(x - y)}{cos \: x \: sin \: y} = tan \: x \: cot \: y - 1 \\ \\ thus \: proved \\$

6 0

3 years ago

AngleDFG and angleJKL are complementary angles. M angleDFG =x+5, and m angleJKL=x-9. Find the measure of each angle

kicyunya [14]

$Measures\ of\ complementary\ angles\ make\ sum\ equal\ to\ 90^{\circ}.\\\\
\angle DFG+\angle JKL=90^{\circ}\\\\
x+5+x-9=90\\\\
2x=90-5+9\\\\
2x=94\ \ \ |:2\\\\x=47^{\circ}\\\\
\angle DFG=x+5=47+5=52^{\circ}\\ \angle JKL=x-9=47-9=38^{\circ}$

4 0

4 years ago

Peter’s dog eats 0.3 kilograms of dog food each day. How much dog food will Peter’s dog eat in 8 days?

melisa1 [442]

Peter dog ate 2.4 kilograms of dog food in 8 days

Solution:

Given that peters dog eats 0.3 kilograms of dog food each day

To find: amount of dog food eaten by peter dog in 8 days

From given question,

one day = 0.3 kilograms of food

Let "x" be the amount of dog food eaten by peter dog in 8 days

Then for 8 days:

amount of dog food eaten in 8 days = amount of dog food eaten in 1 day x 8

$x = 0.3 \times 8$

On multiplying we get,

x = 2.4

Thus peter dog ate 2.4 kilograms of dog food in 8 days

7 0

4 years ago

B is greater than 11.3

Marysya12 [62]

B = (11,4; till infinity); so
B = 11,5
B = 12
B = 12,4
B = $65 \frac{20}{21}$
B = 123
and so on,
every number that is bigger than 11,3 is true solution.

5 0

3 years ago