3 years ago

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 87.

1 answer:

6 0

Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6

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He floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 12° angle with the ground. About how long is

soldier1979 [14.2K]

Given :

Hight of the van from the ground, h = 3 feet.

The ramp into the van makes a 12° angle with the ground.

To Find :

How long is the ramp.

Solution :

Let, length of ramp is l .

So, height of ramp in terms of length is given by :

$h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet$

Hence, this is the required solution.

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3 years ago

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allochka39001 [22]

Answer:

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3 years ago

Read 2 more answers

The length of a photograph is 3cm less than twice the width. The area is 54cm². Find the dimentions of the photograph.

AnnyKZ [126]

L=2w-3

w(2w-3)=54

2w²- 3w-54=0

A= 2 , B= -3, C= -54

sub values into quadratic formula
i attached picture of formula

Final answer: you will be given 2 answers 6 and -4.5. -4.5 is rejected since a negative value cannot represent length because that just doesn't make sense.

w=6

Check:
L=2w-3
=2(6)-3
=12-3
=9
9*6=54

Therefore the dimensions of the photograph are 6 cm by 9 cm