All categories

3 years ago

How do i find the length of side AB?

Mathematics

1 answer:

Elis [28]3 years ago

5 0

Answer:

AB = 78

Step-by-step explanation:

Using Pythagoras' identity in the righr triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² = 72² + 30² = 5184 + 900 = 6084 ( take the square root of both sides )

AB = $\sqrt{6084}$ = 78

You might be interested in

25. The perimeter of a rectangle is equal to twice the sum of its length and its width. One

AlexFokin [52]

Answer:

The equation that can be used to find the width is 2(13 + w) = 42

The width of the rectangle is 8 inches

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

∵ One rectangle has a length of 13 inches

∴ l = 13 inches

∵ Its perimeter is 42 inches

∴ P = 42 inches

- Substitute the values of l and P in the formula of the perimeter

∵ 42 = 2(13 + w)

The equation that can be used to find the width is 2(13 + w) = 42

To find W divide both sides by 2

∴ 21 = 13 + w

- Subtract 13 from both sides

∴ 8 = w

The width of the rectangle is 8 inches

7 0

3 years ago

Arrow 1 is rotated by 45° , 90° , 180° respectively as shown below , Based on this we can say – “Any object when rotated by ____

Free_Kalibri [48]

Any object when rotated by 360°, will look exactly the same

7 0

3 years ago

Victoria recently switched to a new electric company. If she uses between 0 and 400 kilowatt-hours (kWh) of electricity per mont

Gekata [30.6K]

Answer:

see the explanation

Step-by-step explanation:

The question is

Identify the domain and the range, using words and inequalities

Let

x -----> the number of kilowatt-hours (kWh) of electricity per month

y ----> the price per month

we know that

Part 1) For the value of x between 0 kWh and 400 kWh

$0\ kWh \leq x < 400\ kWh$

The price is equal to

$y=\$30$

therefore

The domain is the interval ------> [0,400)

The domain is all real numbers greater than or equal to 0 kWh and less than 400 kWh

The range is ($30)

The range is equal to $30

Part 2) For the value of x equal to 400 kWh or more per month

$x\geq 400\ kWh$

The domain is the interval -----> [400, infinite)

The domain is all real numbers greater than or equal to 400 kWh

The price is

$y=0.097x$

Find the range

For x=400 kWh

$y=0.097(400)=\$38.8$

$y\geq \$38.8$

The range is the interval -----> [38.8, infinite)

7 0

3 years ago

Rico picked 16 lb of peaches and shared

ser-zykov [4K]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

16 divided by 6 is 2.66666667

Since 1/3 is .33 , 2/3 is .66

4 0

2 years ago

Given that E is the universal set and that A and B are subsets of E. simplify An(B-A)

julsineya [31]

Answer:

Answer a h bro ok bye bro good luck

5 0

3 years ago