the carpet is rectangular, thus its area is simply the product of its two dimensions, namely 8*6 = 48 m².
how much is the shaded area? well, since it's also rectangular, its area is also that product of 2*2 = 4, recal is a square so length = width = 2.
Answer:
m3 is 60 degrees
Step-by-step explanation:
Angles 1 & 3 are complementary angles. What that means is that the two angles equal 180 degrees. We already have 120 degrees with m1, so subtract that from 180 for 60 degrees.
Answer:
20 ft
Step-by-step explanation:
The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.
SA = base area + lateral area
SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height
SA -b² = 2bs . . . . . subtract the base area
s = (SA -b²)/(2b) . . . . divide by the coefficient of s
Using the given values for surface area and base length, we find ...
s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet
The slant height of the pyramid is 20 feet.
Answer:
x ≤ 2
Step-by-step explanation:
If we say the number line represents values of the variable x, then there is a solid dot at the value x=2. That means x = 2 is included in the inequality being represented.
The solid black arrow extends to the left of x = 2, including all values that are less than 2. Thus that arrow represents all values <em>less than or equal to 2</em>. The inequality is written ...
... x ≤ 2
The answer is (3, 0) for The second endpoint.
Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.
(Kx + Lx)/2 = Mx
(Kx + 7)/2 = 5
Kx + 7 = 10
Kx = 3
And now we do the same thing for y values
(Ky + Ly)/2 = My
(Ky + -6)/2 = -3
Ky + -6 = -6
Ky = 0
This gives us the final point of (3, 0)