Can someone help me complete this worksheet please and thank you it’s all multiple choice
1 answer:
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Given:
Number of males = h
Number of females = (h-2)
Total number of visitors = 80
To find:
The value of h.
Solution:
We have,
Number of males = h
Number of females = (h-2)
So, the total number of visitors is:
It is given that the total number of visitors is 80. So,
Divide both sides by 2.
Therefore, the correct option is D.
Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
The prime factor of the 576 is and the prime factor of the 64 is
. And the expression
is equal to 3.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is
The prime factor of the 576 will be
The prime factor of the 64 will be
Then the expression will be
More about the simplification link is given below.