Whats the original price or the discount price ?
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
Answer:
y = negative 2 x + 9
Step-by-step explanation:
40.
45 seconds is 3/4 of a minuet so after 45 seconds you have done 30/40 push ups after a minute you have done 40/40= one minuet.
40.
Given a scalar number

and a vector
v, the product between

and
v is a vector, with
- magnitude given by the product between the absolute value of

and the magnitude of
v- direction given by the sign of

: if a is positive, the final vector has same direction of
v; if a is negative, the final vector has opposite direction to
v.
In our problem, the scalar number is

. This means that the product between the vector and this number:
- has magnitude equal to

times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar

is negative)
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>