Yesterday, the temperature at noon was 43.6 °F. By midnight, the temperature has decreased by 15.3 degrees. What was the temperature at midnight?

Temperature at midnight is °F.

Step-by-step explanation:

Given: The temperature at noon was °F. By midnight, the temperature has decreased by degrees.

To find: The temperature at midnight.

Solution:

The temperature at noon was °F.

Now, by midnight, temperature has decreased by degrees.

So, first we need to convert the temperature in °F.

We know that, , where F is temperature in Fahrenheit and C is temperature in Celsius.

So,  

So, by midnight, temperature has decreased °F

Therefore, temperature at midnight is °F

Hence, temperature at midnight is   °F.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula