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3 years ago

(geometry) i would appreciate help please

Mathematics

2 answers:

Leto [7]3 years ago

8 0

63 would be the answer. :)

goldfiish [28.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

We are taking a dilation of 3, so that means we are multiplying by 3. We multiply 3 to 21 to get 63.

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A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t

Sati [7]

Answer:

$\frac{2}{7}$

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = $\frac{1}{7}$

Remaining fuel after driving around the city = 1 - $\frac{1}{7}$

= $\frac{7 - 1}{7} = \frac{6}{7}$

According to question:

As from the rest of the gas in the car that is $\frac{6}{7}$ , the car can complete 3 trip to Ottawa which means,

By unitary method:

The car can complete 3 trip by using = $\frac{6}{7}$ tank of gas.

The car can complete 1 trip by using = $\frac{6}{7} \div 3$

= $\frac{6}{7} \times\frac{1}{3}$

= $\frac{6}{21}$

= $\frac{2}{7}$ tank of gas

Thus, $\frac{2}{7}$ tank of gas used for each complete trip to Ottawa.

5 0

3 years ago

Roll a fair six sided die 1000 times. Out of 1000 rolls how many times an even number

Mama L [17]

Answer:

3/1000 chance

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find the length of the hypotenuse of a right triangle whose legs are 5 and √2.

Blizzard [7]

Answer:

$\sqrt{27}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

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

let h represent the hypotenuse, then

h² = 5² + ( $\sqrt{2}$ )² = 25 + 2 = 27 ( take the square root of both sides )

h = $\sqrt{27}$ ← exact value

6 0

3 years ago

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Find the zero of the following function: f(×)=(×-1)/(×-3)

nlexa [21]

Answer:

$\boxed{\sf \ \ x = 1 \ \ }$

Step-by-step explanation:

Hello,

First of all we need to take x different from 3 as dividing by 0 is not allowed

then for x real different from 3

$f(x)=0\\\\ \dfrac{x-1}{x-3}=0\\\\ x-1 = 0\\\\ x = 1$

hope this helps

6 0

3 years ago

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Let E = {(x, y) e R2|xy > 0}. Determine whether E is a subspace of R2 . X3

gayaneshka [121]

Answer:

E is not a subspace of $\mathbb{R}^2$

Step-by-step explanation:

E is not a subspace of $\mathbb{R}^2$

In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

5 0

3 years ago