Mathematics, 20.07.2019 02:40 richard80

The height of a photograph is 40 cm greater than the width, and the area of the photograph is 896 cm2what is the height of the photograph?

Answers: 1

Show answers

Answers

Answer from: samuelmarchettp9i3sa

Height = 56 cm

Step-by-step explanation:

let the width of photograph be = 'w' cm

let the Height of photograph be = 'h' cm

Now it is given that height is 40 cm greater than width

=> h = w + 40 cm.............................(i)

Now it is given that area of photograph = $896cm^{2}$

We know that area = $Width^{}$ x $Height^{}$

Thus we have $h^{}$ x $w^{}$ = $896cm^{2}$

Applying value of 'h' from equation i we get

$(w+40^{})$ x $w^{}$ = $896cm^{2}$

$w^{2} +40w=896cm^{2}$

This is a quadratic equation in 'w' whose solution in standard form is given by

w= $\frac{-b\mp\sqrt{b^{2}-4ac}}{2a}$

upon comparing with standard equation we see that

a =1

b=40

c=896

applying values in the formula we get

w= $\frac{-40\mp\sqrt{40^{2}-4\times 1\times- 896}}{2 \times1 }$

w1 = 16 cm

w2 = -56 cm

We discard -56 cm since length cannot be negative thus

width = 16 cm

Height = 40+16 cm = 56 cm

Answer from: Quest

C, e, and a (hope it )

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Hannah is 3 years older than twice her brother joey’s age. joey is 2 years old. how old is hannah? show all of your work! the number of students is five more than seven times the number of teachers. there are 10 teachers. how many students are there? be sure to show all of your work!

Answers: 1

Answer

Mathematics, 21.06.2019 14:00

Solve - pv + 40 < 65 for v solve 7w - 3r = 15 for r

Answers: 1

Answer

Mathematics, 21.06.2019 15:40

Which graph represents an even function?

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Polygon hh is a scaled copy of polygon gg using a scale factor of 1/4. polygon h's area is what fraction of polygon g's area?