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3 years ago

There are 120 boys in Morris middle school. What is the total number

Mathematics

2 answers:

AnnZ [28]3 years ago

8 0

Answer:

121

Step-by-step explanation:

trust me i got you wuth that 2016 throwback

sdas [7]3 years ago

8 0

The total number of students

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Using factor theorem, factorise x⁴-x³-7x²+x+6

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Answer:

Add and subtract the second term to the expression and factor by grouping .

(x-1)(x+1)(x-3)(x+2)

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Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example l

solong [7]

Answer:

x = 182.53

Step-by-step explanation:

Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x

Let's solve.

✍️Finding the whole side length adjacent to 20°:

Opp = 87

Adjacent length = ? = a

$\theta = 20$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(20) = \frac{87}{a}$

Multiply both sides by a

$tan(20) \times a = \frac{87}{a} \times a$

$tan(20) \times a = 87$

Divide both sides by tan(20)

$\frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)}$

$a = \frac{87}{tan(20)}$

$a = 239.03$

Finding the side length adjacent to 57°:

Opp = 87

Adjacent length = ? = b

$\theta = 57$

Thus,

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(57) = \frac{87}{b}$

Multiply both sides by b

$tan(57) \times b = \frac{87}{b} \times b$

$tan(57) \times b = 87$

Divide both sides by tan(57)

$\frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)}$

$b = \frac{87}{tan(57)}$

$b = 56.50$

Therefore:

x = a - b

x = 239.03 - 56.50

x = 182.53

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3 years ago

A shop rents a DVD player at $10 per day and a charged a later fee of $15 for every day it is late. If Timmy renter a DVD player

Assoli18 [71]

Answer:

$130

Step-by-step explanation:

Renting the dvd for one day costs $10.

$15 is charged for every late day .

Timmy rented the DVD player for 4 days and returned it 10 days later.

For 4 days , the amount

= $10 x 4

= $40

For the remaining six days he’ll pay

$15 x 6= $90 because he was charged the late fee .

Therefore, total amount paid by Trimmy

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Trimmy paid $130

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