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
riadik2000 [5.3K]
3 years ago
12

1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s

cale factor did the sign-making store use? (JUSTIFY)
2. A fish tank is 16 inches long, 13 inches wide, and 11 inches high. Find its volume in cubic inches. (JUSTIFY)

please answer both questions. i will give brainliest
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

You might be interested in
XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi
Rashid [163]

Answer:

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

X'(x,y) = X(x,y) + T(x,y) (1)

Where T(x,y) is the vector translation.

If we know that X(x,y) = (2,3) and X'(x,y) = (4,7), then the vector translation is:

T(x,y) = X'(x,y)-X(x,y)

T(x,y) = (4,7) - (2,3)

T(x,y) = (2, 4)

Then, we determine the coordinates for Y' and Z':

Y'(x,y) = Y(x,y) + T(x,y)

Y'(x,y) = (1,4) + (2,4)

Y'(x,y) = (3, 8)

Z'(x,y) = Z(x,y) + T(x,y)

Z'(x,y) =(8,9) + (2,4)

Z'(x,y) = (10, 13)

The coordinates are Y'(x,y) = (3, 8) and Z'(x,y) = (10, 13).

7 0
2 years ago
R leaks out of a barrel so that the rate of change in the water level is proportional to the square root of the depth of the wat
Irina-Kira [14]
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
  y'(t) = k√(y(t)) . . . . for some proportionality constant k
  y(0) = 30
  y(1) = 29

We observe that a function of the form
  y(t) = a(t - b)²
will have a derivative that is proportional to y:
  y'(t) = 2a(t -b)

We can find the constants "a" and "b" from the given boundary conditions.
At t=0
  30 = a(0 -b)²
  a = 30/b²
At t=1
  29 = a(1 - b)² . . . . . . . . . substitute for t
  29 = 30(1 - b)²/b² . . . . . substitute for a
  29/30 = (1/b -1)² . . . . . . divide by 30
  1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
  b = 30 +√870 . . . . . . . . simplify

The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
5 0
3 years ago
Somebody help me.....
Elan Coil [88]

Answer:

in my knowledge

26 , 31 , 36 , 41 , 46

rule:5

cause 26+5=31

31+5=36

36+5=41

41+5=46 and so on...

8 0
3 years ago
How many pounds are equivalent to 40 ounces?
Murrr4er [49]

Answer:

2.5 pounds

Step-by-step explanation:


5 0
2 years ago
Read 2 more answers
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a
Hitman42 [59]

Definition: A function is "even" when f(x) = f(−x) for all x.

Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Answer: correct choice is A.

6 0
2 years ago
Other questions:
  • Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
    8·1 answer
  • What is ten times as much as .09
    6·1 answer
  • Need help ASAP! ——————————————————————————————
    12·1 answer
  • How many sq. ft. are in an acre?
    10·2 answers
  • I don’t understand this question
    13·2 answers
  • PLEASE HELP
    14·1 answer
  • Find the solution of the system of equations.
    5·2 answers
  • Evaluate the expression 3^4 divided by (14 - 5) x 2<br><br>PLEASE HELP ASAP!
    5·1 answer
  • What the example of constant and variable?​
    11·2 answers
  • Rearrange x = 3g + 2 to make g the subject.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!