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Nadya [2.5K]
3 years ago
14

A tree casts a shadow of 28 feet. at the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
Ratio of shadow to object's size = 2/7

Then, size of tree would be: 7/2 * 28 = 7 * 14 = 98 feet

So, your final answer is 98 feet

Hope this helps!
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What is the distance between -6 and 2 on a number line
Likurg_2 [28]
I made a number line and drew it out -6,-5,-4,-3,-2,-1,0,1,2 and i counted how many i had to move over to get to 2 from -6 and i got 8
7 0
2 years ago
Whats 2.638 rounded to the nearest hundredth?​
OverLord2011 [107]

Answer:

2.64

Step-by-step explanation:

The 8 in the thousandths place can round up to .64

3 0
3 years ago
Solve for m 1/C+1/m=1/z
9966 [12]
Answer:  " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given:  1/C + 1/m = 1/z ;  Solve for "m".

Subtract  "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C  ;

to get:  1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________

mzC {1/m = 1/z − 1/C} ;

to get:  zC = mC − mz ;

Factor out an "m" on the "right-hand side" of the equation:

zC = m(C − z) ;  Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;

zC / (C − z) = m(C − z) / m ;  to get:   24/8 = 3  24

zC/ (C − z) = m ;   ↔   m = zC/ (C − z) .
___________________________________________________
4 0
3 years ago
Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater th
dezoksy [38]

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}

It is given that d is the distance from theatre to friend's house

So, d must be less than d_1 i.e.

d

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

7 0
2 years ago
Which choice is equivalent to the expression below √-12
kondaur [170]

Answer:

E

Step-by-step explanation:

using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}, hence

\sqrt{-12}

= \sqrt{4(3)(-1)} = \sqrt{4} × \sqrt{3} × \sqrt{-1} [\sqrt{-1} = i]

= 2i\sqrt{3} → E


7 0
2 years ago
Read 2 more answers
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