Answer:
4.81 x 10^13
Step-by-step explanation:
Just count how many numbers there are and subtract it by one for the exponent, and put the decimal behind the first number.
Answer/explanation:
60=5k
Is the equation because the word is means equals, so we add an equal sign after the 60. Five times greater simply means multiply so we multiply 5 and k.
To solve the equation, you would need to divide both sides by 5 to isolate the variable
60/5=5k/5
12=k
5 9/10 .........................................
Answer:
b. c(p) = 0.42p
Step-by-step explanation:
you are multiplying the cost (0.42) by the pounds (p)
Answer:
15.2 m
Step-by-step explanation:
You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.
m<EFD = 45 deg
m<EFC = 135 deg
m<FEC = 15 deg
m<ECD = 30 deg
We now use the law of sines to find EC
(sin 15)/10 = (sin 135)/EC
EC = 27.32
Because of the 30-60-90 triangle, ED = EC/2
ED = 13.66
Now we add the height of Zaheer to find AE.
13.66 + 1.5 = 15.16
Answer: 15.2 m
