Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C
Answer:
Second option. "Sue wants to cover the lid of a box with paper. How much paper should she buy?"
Explanation:
The first option relies upon volume.
The last two options relies on side lengths.
The second option is relies on area because you have to calculate the area of the lid to know how much paper can be used to cover it.
Answer:
0.681818
Step-by-step explanation:
13 feet per second is equal to 0.681818 miles per hour.
X= number of hours would it take Jason to wash the van by himself.
2x=number of hours would it take Wendy to wash the van by herserlf.
<span>we calcaulate the fraction of work by Jason during one hour </span>
x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / x hours=1/x
we calculate the fraction of work by Wendy during one hour.
2x hours-----------------------------1 work
1 hour---------------------- fraction of work during one hour.
fraction of work during one hour=(1 hour * 1work) / 2x hours=1/2x
We can suggest this equation:
2 hours(fraction of work by Jason during one hour + fraction of work by Wendy during one hour)=1 work
2(1/x + 1/2x)=1
least common multiple=2x
2(2+1)=2x
2(3)=2x
6=2x
x=6/2
x=3
answer: 3 hours would ti take Jason to wash the van by himself.
Answer:
5.5%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>t = time (years)</em>
<em />
The first step is to find the interest gained from the investment.
Next, plug in the values into the equation:
Multiply the bottom values
Divide the values
The last step is to convert 0.055 into a percent:
The interest rate is 5.5%
