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Flura [38]
1 year ago
14

A photograph is 3 in. longer than it is wide. When a 2-in. border is placed around the photograph, the total area of the photogr

aph and the border is 108 in^2. Find the dimensions of the photograph.​
Mathematics
1 answer:
Vsevolod [243]1 year ago
4 0

width = 7

length = 10

Step-by-step explanation:

solve for the one letter that gets talked about the most

which is w or width

width = w

length = 3 + w

2 inch border means

width = w + 2

length = 3 + w + 2

area = length times width

area = ( 3 + w + 2 ) times (w + 2 )

108 = ( 3 + w + 2 ) times (w + 2 )

108 = ( w + 5 ) times (w + 2 )

( w + 5 ) times (w + 2 ) = 108

w^2 + 7w +10 = 108

w^2 + 7w - 98 = 0

going to make w = x

x^2+7x-98=0

(x-7)(x+14)

x = 7

x = -14

w=7

w= -14

cant have a negative measurement so w=7 is used

width = w

length = 3 + w

width = 7

length = 3 + 7 = 10

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Help needed!!! Please
Sliva [168]

Answer:

<em>The correct option is:  C. x=6\sqrt{3}, y=12</em>

Step-by-step explanation:

The two angles of the triangle are given as 60° and 60°

As the sum of all three angle in any triangle is always 180°, so the measure of the third angle will be: 180°-(60°+60°) = 180° - 120° = 60°

Now each angle of the triangle is 60°, it means the triangle is equilateral.

The base of the triangle is given as 12. So, the length of each side will be 12.

That means, the value of y=12

Now in the left right triangle.....

Sin(60)=\frac{x}{y} \\ \\ \frac{\sqrt{3}} {2}=\frac{x}{12} \\ \\ 2x=12\sqrt{3} \\ \\ x=6\sqrt{3}

So, the value of x = 6\sqrt{3}

7 0
2 years ago
The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 trave
tatuchka [14]

Answer: The Martinex family spent $ 82 for train ride and play tickets.

Step-by-step explanation:

Round trip train cost = $ 8.00

For children it cost $ 4.00.

For adult, ticket for play costs= $ 14.00

For children , ticket for play costs= $ 6.00

Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.

2 adults and 3 children ( only one of them is under 7.)

For train we consider only 1 as child rest as adult.

Train cost =  4 x($ 8.00)+ 1 x ($ 4.00)

= $ 32+4 = $36

For play , total cost = 2 x ( $ 14.00) + 3 x ($6)

= $(28+18)

= $ 46

Total spending ( combined) =  $36+$ 46

= $82

So, the Martinex family spent $ 82 for train ride and play tickets.

8 0
3 years ago
PLEASE HELP!! 50 POINTS!!!!!
OLEGan [10]

Answer:

3\2 is the marked

y cos x,=2

3\2=0.5

x=0.5*2=3.0

=3.0*2=6.0

6 0
1 year ago
Find the slope of the line containing the pair of the points. (-10,9) and (-6,-9)
zlopas [31]

Answer:

-9/4

Step-by-step explanation:

putting these to y/x form it is 9/-10 and -9/-6 which has a difference of -9/4 (hopefully this is correct-)

5 0
2 years ago
Read 2 more answers
The unit digit of a two digit number is one less than the ten digit number. If the number is increase by 8 and then divided by t
Colt1911 [192]

The tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

<em>Lets simplify the problem,</em>

Let assume  the "tens" digit be x

Then the "units" difference =  (x-1), according to the condition.

Hence, the number itself is N = 10x + (x-1).

Then the number N+8 is 10x + (x-1) + 8 = 10x + x + 7 = 11x + 7.

From the last statement of the problem, we have this equation

N+8 = 8*(x+y),or11x + 7 = 8*(x+(x-1)).

Simplify and find "x"

11x + 7 = 8*(2x-1)11x + 7 = 16x - 87 + 8 = 16x - 11x15 = 5xx = 15/5 = 3.

Thus the tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

Learn more about UNIT Problems on:

brainly.com/question/12253743

#SPJ4

6 0
2 years ago
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