Answer:
B. 9.9 ft
Step-by-step explanation:
You have a right triangle, so you can use the Pythagorean theorem.
a^2 + b^2 = c^2
15^ + x^2 = 18^2
225 + x^2 = 324
x^2 = 99
x = sqrt(99)
x = 9.9
Answer: B. 9.9 ft
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
Parallel lines have identical slopes
As our original line has a slope of 3/4, both lines v and w have slope of -4/3
This means that
C: y = -4/3x + 2
is the only possible option.
Let's check that the given point fits on this line.
10 = -4/3(-6) + 2
10 = 10
So our answer is correct.
![E[x] = \sum{p_i*x_i}](https://tex.z-dn.net/?f=E%5Bx%5D%20%3D%20%5Csum%7Bp_i%2Ax_i%7D)
=0.4(-25000)+0.25*0+0.35(40000)
=-10000+0+14000
=+4000
Answer:
19,500 people
Step-by-step explanation:
20% of 25,000 is 5,000.
Add 5,000 to 25,000 - this will give you 30,000. That is a 20% increase.
65% of 30,000 is 19,500, thus there are 19,500 people in the stadium.
Answer:
B- The total area of all faces of a soild figure
Step-by-step explanation:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.