All categories

2 years ago

Find the value of x

Mathematics

1 answer:

ivann1987 [24]2 years ago

7 0

Answer:

Hypotenuse x = 10 unit

Step-by-step explanation:

Given:

Two equal sides = 5√2

Find:

Hypotenuse x

Computation:

Using Pythagorean theorem;

Hypotenuse = √Base² + Perpendicular²

Hypotenuse x = √(5√2)² + (5√2)²

Hypotenuse x = √50 + 50

Hypotenuse x = √100

Hypotenuse x = 10 unit

You might be interested in

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Morgarella [4.7K]

$Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)$

$
lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

5 0

3 years ago

Read 2 more answers

At the beginning of Jack's diet, he was 257 pounds. If he lost 3 pounds per week, find his weight after

Cloud [144]

Answer:

A loss of weight means we subtract from Jack's current weight.

Step-by-step explanation:

A loss of weight means we subtract from Jack's current weight. New Weight = Current Weight - Weight Loss per week * number of weeksNew Weight =257 - 3*12New Weight =257 - 36New Weight = 221

7 0

2 years ago

Read 2 more answers

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

7 0

2 years ago

Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of da

nekit [7.7K]

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

8 0

3 years ago

Sum in simplest form.4.3/6+ 2. 1/3 +1.3/4

Citrus2011 [14]

12/6 + 2/3 + 3/4

MMC of 6, 3 and 4 is 12

So 24+8+9/12 = 41/12 = 3,41 approximately.

6 0

3 years ago

Read 2 more answers