If this is asking for the nearest hundred thousand, and not ten thousand, than you would round up to 100,000. 91,284 is close to 100,000.
Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
X 2
r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L =
X 2
r
L =
X 2 X π X 15
L =
X 2 X
X 15
L = 
L = 31.42857143
L ≈ 31.43 cm
2.5x10^3 I think. Exponents are subtracted. The number you're multipliying by has to be more than one.
The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
Answer:
25 in x 15 in
Step-by-step explanation:
Given:
- Length = 3/5 the width
- Area = 375 in²
Let width = 
Therefore, length = 3/5 
First create an equation for the area of the picture based on the given information for its width and length:

We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for
to find the width of the enlarged picture:

Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of
into the expression for length to find the length of the enlarged picture:

Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.