Ratio and proportion
height :legnth of shadow=56:49 (man's shadow)
we assume the ratio is the same for the tower thing (obelisk)
so
56:49=x:28
conver tto fraction
56/49=x/28
times both sides by 28
1568/49=x
32=x
answer is 32ft
Answer:x=11
Step-by-step explanation:
2x-13=9
2x=9+13
2x=22
x=22/2
x=11
hope this helps :)
if you add 55% and 45% the total is 100% so 45/100 are girls. 35% of the girls scored and A so 35/45 is the probability that it is a girl chosen or 7/9. the probability is 7 out of 9.
Answer:
32,768 ways
Step-by-step explanation:
True/ false questions = 5 ; number of options = 2 (True or false)
Ways of answering = 2^5 = (2 * 2 * 2 * 2 * 2) = 32
Number of Multiple choice questions = 5
Number of options (A - D) = 4 options
Ways of answering = 4^5 = (4 * 4 * 4 * 4 * 4) = 1024
32 * 1024 = 32,768 ways
Note: I'm afraid I can't put the work for the answers, for lack of time =/
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1. 0 or -3
2. 0 or 4
3. -2 or 3
4. 0 or 1/2
5. -2 or 3
6. 0 or 5
7. 0 or 7
8. 0 or -2
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9. Substitute 0 for h in "h = -16x^2 + 16x" then solve for x
0 = -16x^2 + 16x
<span>Subtract -16x^2+16x from both sides.
</span><span>0−<span>(<span><span>−<span>16x2</span></span>+16x</span>)</span></span>=<span><span><span>−<span>16<span>x2</span></span></span>+<span>16x</span></span>−<span>(<span><span>−<span>16x2</span></span>+16x</span>)
</span></span><span><span>16<span>x2</span></span>−<span>16x</span></span>=<span>0
</span>
Factor the left side of the equation
<span><span>16x</span><span>(<span>x−1</span>)</span></span>=<span>0
</span>
Set factors to equal 0
<span><span>16x</span>=<span><span><span>0<span> or </span></span>x</span>−1</span></span>=<span>0
</span>x = 0 or x = 1
