To determine the distance between two points, we use the equation,
distance = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values for the abscissa and ordinates of the points,
distance = √(0 - 2)² + (0 - 5)² = √29 ≈ 5.39
Therefore, the distance between these two points is approximately equal to 5.39.
Answer:
hello your question is incomplete below is the complete question
To purchase $14,500 worth of restaurant equipment for his business, Hans made a down payment of $1800 and took out a business loan for the rest. After 2 years of paying monthly payments of $562.88. , he finally paid off the loan. What was the total amount Dean ended up paying for the equipment ( including the down payment and monthly payments )
answer: $15309.12
Step-by-step explanation:
Initial cost of equipment = $14500
Down payment = $1800
cost of equipment = 14500 - 1800 = $12700
Monthly payment = $562.88
Therefore payment made after 2 years = ( 562.88 * 24 ) = $13509.12
<u>Total amount paid by Dean for the equipment </u>
= down payment + monthly payments
= $1800 + $13509.12
= $15309.12
The sum of the interior angles of any polygon is (n-2)*180° (n being the number of sides) so for a triangle the sum of the interior angles is 180°. The sum of the interior and exterior angles is also 180°. To work out which sets are possible you subtract each number from 180° and then add all three answers together. If you get 180° then that set of numbers is possible. Using this method, you will find that the following sets <span>can be the measures of the exterior angles of a triangle:
</span><span>120°, 110°, 130°
</span><span>120°, 120°, 120°</span>
Answer:
Option A (k < -1).
Step-by-step explanation:
Enlargement is one of the linear transformations which changes the size of the shape formed by a combination of some points in the exact proportion. For enlargement (also called dilation), there are two parameters required: the center of enlargement, according to which the transformation occurs, and the scale factor, the size by which the transformation is done. The scale factor can be of any number k. If k is larger than 1 or -1, then it will cause enlargement. If k is between -1 and 1, it will cause anti-enlargement. The magnitude of k determines the size and the sign of k determines the direction. So in this case, k < -1 will cause the enlargement: even though the scale factor is less than -1, but it will enlarge the shape on the opposite direction. Option B and Option C cause anti-enlargement and Option D cause no enlargement or anti-enlargement. So Option A is the correct answer!!!
Answer:
55
Step-by-step explanation:
we can get the answer by putting it in the calculator
