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Mekhanik [1.2K]
3 years ago
10

In Chad's reading class, all the students are reading the same book. The school bought each student a book at $7 per book. If th

ere are 27 students in Chad's class, which of the following expressions could not be used to calculate the total cost?
7(20) + 7(7), 7(30) - 7(3) 7(30) - 7(7)
Mathematics
1 answer:
Allushta [10]3 years ago
6 0
The last one 7(30)-7(7) because if you do it then it is 7(23) which doesn’t make sense because it is 27 we need to find
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Answer:

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3 years ago
In triangle △ABC, ∠ABC=90°,
makvit [3.9K]
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>

==============================================

Work Shown:

Let x = HC and y = BH

AH = 12-x since AH = 12-HC and x = HC

---------------

See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible

HC/BH = BH/AH

x/y = y/(12-x) ... substitution

x(12-x) = y^2 ... cross multiply

y^2 = -x^2+12x

note how I isolated y^2 instead of y. We will use this equation later.

---------------

Focus on triangle AHB. Use the pythagorean theorem

(BH)^2 + (AH)^2 = (AB)^2

(y)^2 + (12-x)^2 = (9)^2

y^2 + 144-24x+x^2 = 81

-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x

-x^2+12x + 144-24x+x^2-81 = 0

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x = -63/(-12)

x = 5.25 <<-- answer in decimal form

x = 5 + 0.25

x = 5 + 1/4

x = 20/4 + 1/4

x = 21/4 <<-- answer as a fraction

3 0
3 years ago
Suppose a ball is dropped from a height of 6 ft. It bounces back up but each time it bounces, it reaches only 7/10 of its previo
MatroZZZ [7]
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6 * 0.7 = 4.2
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