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2 years ago

If a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons

Mathematics

1 answer:

FrozenT [24]2 years ago

4 0

Step-by-step explanation:

One gallon = 25 miles

8 gallon= 25×8 miles= 200 miles

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Ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?

exis [7]

Answer:

XS is 9 inches long.

Step-by-step explanation:

Given that

YS is the perpendicular bisector of XZ.

Length of XZ = 18 inches

To find:

Length of XS = ?

Solution:

First of all, let us learn about the perpendicular bisector.

Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of $90^\circ$ with the line AB.

If B is on the line PQ, then $BP = BQ = \frac{PQ}{2}$ and

$\angle ABP = \angle ABQ = 90^\circ$

Applying the above property in our given question.

Kindly refer to the attached image for the given dimensions.

S is on the line XZ.

$XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}$

So, the answer is XS is 9 inches long.

8 0

2 years ago

The explicit rule for a sequence is an=5(−2)^n−1

Murrr4er [49]

Answer:

3) $a_n=-2a_{n-1}$ , $a_1=5$

Step-by-step explanation:

Given that the explicit rule for a sequence is $a_n=5(-2)^{n-1}$ .

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) $a_n=-2a_{n+1}$ , $a_1=5$

2) $a_n=-5a_{n+1}$ , $a_1=2$

3) $a_n=-2a_{n-1}$ , $a_1=5$

4) $a_n=-5a_{n-1}$ , $a_1=2$

Plug n=1 into given formula to get first term

$a_n=5(-2)^{n-1}$

$a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5$

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) $a_n=-2a_{n-1}$ , $a_1=5$

7 0

2 years ago

Help with geometry? Can't do it no matter what I try

Anarel [89]

R u in k12? or nah if yes send a mail to the teach

4 0

2 years ago

What is the following quotient? 3 sqrt 60 / 3 sqrt 20

UkoKoshka [18]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

Elis [28]

yes because m<1+m<4 = 180 degrees

6 0

2 years ago