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4 years ago

14

Geoffrey's parents went to a comedy show that started at 8:30 P.M. and lasted 2 hours and 45 minutes. What time did the show end

?

2 answers:

SpyIntel [72]4 years ago

6 0

Answer: The show ended at 11:15. Hope this helps

Step-by-step explanation:

melomori [17]4 years ago

5 0

The show ended at 11:15 because 2 hours later is 10:30 and 45 minutes later, it will be 11:15

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What is the perimeter of the figure

Natalija [7]

Answer:

The perimeter of the figure is 111.46 units

Step-by-step explanation:

Given:

RS = 43

LS = 18√2

A right Triangle is attached to a Rectangle.

A right Triangle is having measure angle 45° , 90°

and Hypotenuse = 18√2

∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}

∴ the right angled triangle is an Isosceles triangle.

∴ Two sides are equal LT = TS

To Find:

Perimeter of figure = ?

Solution:

we have

$\sin 45 = \frac{\textrm{side opposite to angle 45}}{Hypotenuse}\\$

we Know sin 45 = 1/√2

∴ $\frac{1}{\sqrt{2} }= \frac{LT}{18\sqrt{2}}\\\\\therefore LT = 18\ unit\\\\\therefore TS = 18\ unit\\$

Now ,

ARTL is a Rectangle

∴ opposite side of a rectangle are equal

∴ LT = AR = 18 unit

and AL = RT

But,

RT = RS - TS

= 43 - 18

25

∴ AL = RT = 25

∴ Perimeter of figure = AL + LS + RS + AR

= 25 + 18√2 + 43 + 18

= 86 + 18√2

= 111.455

= 111.46 units

∴ Perimeter of figure = 111.46 units

7 0

3 years ago

The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

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2 years ago

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Which of the following r-values represents the strongest correlation?

borishaifa [10]

The correct answer is B

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4 years ago

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At midnight the temperature is -6 degrees C. At midday the temperature is 9 degrees C. By how much did the temperature rise? *

Nastasia [14]

Answer:

it rises 15 degrees

Step-by-step explanation:

sorry if it is wrong but I am sure it us 15

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3 years ago

What is /12x^8| /3x2 in simplest form where x>0

svetoff [14.1K]

Answer:

2x^3

C

Step-by-step explanation:

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2 years ago