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3 years ago

Express the following ratio in simplest form $0.45 : $4.50

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

1 : 10

Step-by-step explanation:

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A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares

deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0

3 years ago

Read 2 more answers

What is 1 3/8 close to?

kozerog [31]

It depends what your trying to get close to. If your trying to get close to a number that is easier to work with 1 4/8 is good because its the same as 11/2 but the closest whole number is 1.

6 0

3 years ago

The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the

Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

a +b +c = 26
2a -b = c -2
-3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0

3 years ago

What is the percentage decrease if an item has dropped from $115 to $46

Sav [38]

Answer: 60% decrease

Step-by-step explanation:

Look at the attachment