1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
3 years ago
14

A photograph has a length that is 4 inches longer than its width, x. Its area is given by the expression x(x + 4). If the area o

f the photograph is 96 square inches, what is the length of the photograph?
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

The length is 12 inches and the width is 8 inches.

Step-by-step explanation:

You might be interested in
Question
mars1129 [50]

Answer:

x=11

Step-by-step explanation:

  • 2x+7=36
  • 2x=36-7
  • 2x=22
  • x=11
8 0
3 years ago
Read 2 more answers
Solve for x Round to the nearest tenth one place after the decimal !
aniked [119]

Answer:

x = 14.4

Step-by-step explanation:

x is sin(angle 24/30)×24

how do we get the angle at 24/30 ?

by using the extended Pythagoras for baselines opposite other than 90 degrees.

c² = a² + b² - 2ab×cos(angle opposite of c)

in our example the angle 24/30 is opposite of the side 18.

so,

18² = 24² + 30² - 2×24×30×cos(angle 24/30)

324 = 576 + 900 - 1440×cos(angle 24/30)

324 = 1476 - 1440×cos(angle 24/30)

1440×cos(angle 24/30) = 1152

cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5

angle 24/30 = 36.9 degrees

x = sin(36.9) × 24 = 14.4

4 0
3 years ago
The length of a rectangle is 3 more than five times its width. If the perimeter of
AleksandrR [38]

Answer:

Image result for The length of a rectangle is 3 more than five times its width. If the perimeter of the rectangle is 30 meters, find the dimensions of the rectangle.

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

6 0
2 years ago
X+8 is atleast 18 solving one step inequalities by adding and. Subtracting
Mamont248 [21]
X + 8 >= 18

(>= means greater than or equal to)

x + 8 - 8 >= 18 - 8
x >= 10
7 0
3 years ago
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.
Sonja [21]
<h3>Answer:  Rhombus</h3>

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

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\

Segment AB is exactly \sqrt{17} units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

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

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2)  = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\

Segment AB has a slope of 1/4.

Do the same for BC

B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2)  = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is the relationship between the two quantities?
    14·1 answer
  • Write the expression in complete factored form.<br> 2p(n + 9) + q(n + 9) =
    14·2 answers
  • melissa wants to cover her square tabletop with a tablecloth. the area of the table is 144². which of the following tablecloth l
    6·2 answers
  • Amy has a triangle with side lengths of 6 and 8. What is the length of the <br> hypotenuse.
    7·1 answer
  • What is the answer to P - 11 = -5
    10·1 answer
  • First ight answer gets brain
    11·1 answer
  • Nvm i already posted it
    14·2 answers
  • What is the distance from -2 to 0 ?
    15·1 answer
  • Someone help me out with this
    11·1 answer
  • HELP HELP HELP HELP WILL GIVE BRAINLIST
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!