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Vadim26 [7]
3 years ago
12

Needed help for my math please

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




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Step-by-step explanation:

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A rectangle retaining wall has area of 15 square feet.The height of the wall is two feet less than its length.find the height an
Aleksandr-060686 [28]

Answer:

The wall is 3 ft high and 5 ft long.

Step-by-step explanation:

Recall:  Area of the rectangular wall is A = (length)(height).

Let the height be represented by h.  Then the length is represented by h + 2.

The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.

Let's solve this last equation for h using completing the square:

h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16.  Taking the square root of both sides, we get:

h + 1 = ±4, which is equivalent to h = 3 and h = -5.  Discard the negative result.  Then h = 3 and w = 3+2 = 5.

The wall is 3 ft high and 5 ft long.  Its area is (3 ft)(5 ft) = 15 ft²

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3 years ago
Denise bought a T-shirt at the sale price of $24. The original cost of a T-shirt was $40. What percent represents the discount t
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3 years ago
One formula for measuring the magnitude of an earthquake is by using the Richter scale. It is a logarithmic scale created by the
lubasha [3.4K]

Answer:

Richter scale is a good way to talk about how strong an earthquake is. It is also easy to compare two earthquakes using the Richter scale.

Generally, earthquakes are estimated to be under

10

on the Richter scale.

Below is the formula for comparing two earthquakes.

M2-M1=log(I2-I1)

You can check out how this formula is derived.

Compute the magnitude of an earthquake

Given the intensity of two earthquakes and the magnitude of one of them, we can find the magnitude of the other earthquake. For example:

Earthquake

A

is

15

times stronger than earthquake

B

. Earthquake

B

is estimated to be

2.3

on the Richter scale. What is Earthquake

A

on the Richter scale?

M_A-M_B=log(I_A/I_B)

M_A-2.3=log(15)

M_A=log(15)+3.5

M_A=3.5

How much stronger is this earthquake comparing to that?

When given the magnitudes of

2

earthquakes, we can figure out how much stronger one earthquake is comparing to the other one. For example:

On the Richter scale, earthquake

A

is estimated to be

3

and earthquake

B

is estimated to be

1.5

.

How much stronger is earthquake

A

?

32

times

15

times

57

times

2

times

Step-by-step explanation:

The picture is the explanation......

And please comment if it helps you

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What goes in the question mark, greater than, less than, or equal? EASY STUFF
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Answer:

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Step-by-step explanation:

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