Answer:
625b^6
Step-by-step explanation:
= 5^3 * 5b^6
= 5^3 * 5
= 625
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
3) 0.825
4) 0.1212
5) 0.5455
6) -7.177
7a) 0.066
b) 0.166
c) 0.333
d) 0.416
8) -2/5
9) -7 (32/100) = -7 (9/25)
10) 0.22222 = 2/9
<span>OK, here's a *very* approximate "creative" method:
</span><span>
sin(a+b)=sin(a)cos(b) + cos(a)sin(b) </span>
<span>
choose a=30deg and b=5deg </span>
- sin(a)=0.5 (exact)
- b is a small number so we say sin(b)~b (in radians). We can do a long division for this: 3.14/36 = 0.087 radians
- similarly, for b sufficiently small, cos(b)~1
<span>- now we only need cos(a) = sqrt(3)/2. We can approximately calculate sqrt(3) as 1.73, (by trial-and-error or better, by using the Babylonian method; so sqrt(3)/2 = 0.865 </span>
<span>
Finally, sin(30 + 5) = (0.5 x 1) + (0.087 x 0.865) = 0.575 (calculating more digits is of no use because the sin(b)=b and cos(b)=1 are quite inaccurate approximations). </span>
<span>So that wasn't all too much effort, and we're close to the correct answer (0.574)
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
Answer:
y=2^x
Step-by-step explanation:
