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lisabon 2012 [21]
2 years ago
10

10 i

Mathematics
1 answer:
salantis [7]2 years ago
4 0

Answer:

opposite sides parallel and congruent theorum

Step-by-step explanation:

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Given vectors u = (-3, 2) and v = (2, 1), what is the measure of the angle between the vectors?
BaLLatris [955]

Answer:

C) 119.7°

Step-by-step explanation:

got it right on edge :)

3 0
3 years ago
Read 2 more answers
Suppose you wish to borrow $600 for two weeks and the amount of interest you must pay is $25 per $100 borrowed. What is the APR
Yuliya22 [10]

Answer:

The APR at which the money is borrowed, is approximately 651.79%

Step-by-step explanation:

The amount which one wishes to borrow for two weeks, P = $600

The amount of interest that one must pay back = $25 per $100 borrowed

Therefore;

The total interest on the $600 loan (borrowed) for two weeks = 25/100× $600 = $150

The number of days for which the amount was borrowed = 2 weeks = 14 days

The Annual Percentage Rate, APR is given as follows;

APR = \left (\dfrac{\left (\dfrac{Interest \ Paid \ for \ the  \ Loan \ duration}{The \ amount \ borrowed} \right )}{The \ number \ of \ days \ the \ amount \ was  \ borrowed } \right ) \times 365 \times 100

Therefore, we get

APR = \left (\dfrac{\left (\dfrac{150}{600} \right )}{14 } \right ) \times 365 \times 100  \approx 651.79 \%

The annual rate at which the money is borrowed, APR ≈ 651.79%.

8 0
3 years ago
X²=169 extracting square root​
ryzh [129]

Answer:

x = ± 13

Step-by-step explanation:

Given

x² = 169 ( take the square root of both sides )

x = ± \sqrt{169} = ± 13

Since 13 × 13 = 169 and - 13× - 13 = 169

7 0
3 years ago
Find the distance between the two points (-2,-6) and (0,5).
HACTEHA [7]

Answer: OPTION B

Step-by-step explanation:

You can find the distance between two points by using the following formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the points  (-2,-6) and (0,5), you can identify that:

x_2=-2\\x_1=0\\\\y_2=-6\\y_1=5

Therefore, substituting values, you get that the distance between those points is:

 d=\sqrt{(-2-0)^2+(-6-5)^2}\\\\d=5\sqrt{5}

7 0
3 years ago
Read 2 more answers
Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still
lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0
3 years ago
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