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3 years ago

The floor of a rectangular living room is 18 feet by 24 feet. What is the distance between opposite corners of the living room?

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

The distance between opposite corners of the living room is 30ft

Step-by-step explanation:

This can be thought of as a right triangle and we want to know its hypotenuse

To calculate one side of a right triangle from the other 2 sides we have to use Pythagoras

h = hypotenuse

a = leg 1 = 18ft

b = leg 2 = 24ft

h² = a² + b²

we replace the known values

h² = (18ft)² + (24ft)²

h² = 324ft² + 576ft²

h² = 900ft²

h = √(900ft²)

h = 30ft

The hypotenuse is 30ft

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Use logarithmic differentiation to find dy/dx

liq [111]

Answer:

dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

Step-by-step explanation:

y = (x^2 - 3)^sinx

ln y = ln (x^2 - 3)^sinx

ln y = sin x * ln (x^2 - 3)

1/y * dy/dx = sin x * {1 / (x^2 - 3)} * 2x + ln(x^2 - 3) * cos x

1/y dy/dx = 2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)

dy/dx = [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)] * y

dy/dx = (x^2 - 3)^sin x [2x sin x/ (x^2 - 3) + cos x ln(x^2 - 3)]

7 0

3 years ago

A store owner had 42 pounds of almonds, 38.5 pounds of walnuts, and 62.5 pounds of peanuts. If the owner splits the peanuts equa

Zina [86]

Here is your answer

$12.5 pounds$

REASON:

Weight of total peanuts= 62.5 pounds

It is splitted into equally into 5 jars.

So,

Pounds of peanut each jar contains= Total weight/No. of jars

= 62.5/5 pounds

= 12.5 pounds (in each jar)

HOPE IT IS USEFUL

6 0

3 years ago

Can somebody help me. Will Mark brainliest.

Alex17521 [72]

I think the answer is 43.2 degrees

5 0

3 years ago

Pls help. I'm stuck on this question

Sav [38]

547.66666666666666667

7 0

3 years ago

Confusedddddddddddddddd

Elina [12.6K]

4x + 4 + 4x = 180 so solve for x and it’s 22
1. 4x + 4
92

2. 88

4 0

3 years ago