A
The volume (V) of a pyramid is found using the formula
V =
× area of base × height(h)
area of base = 9² = 81 ← area of a square, hence
324 =
× 81 × h = 27h ( divide both sides by 27 )
h =
= 12 → A
The two complementary angles are:
95° and 15°
Step-by-step explanation:
Let x be one angle
then the other angle will be 90-x
As the sum of complementary angles is 90
So,
then according to statement

The two complementary angles are:
95° and 15°
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly
Think of it this way: Lets add numbers in pairs, starting at the very outer 2 numbers (19 and 77) then go in by one and add the second number and the second to last (20 and 76), then (21 and 75) and so on. The sum of all of these pairs are all the same: 96. How many 96s will we have? Well since we're coming from each end toward the middle adding pairs we will have half the distance between 19 and 77, that is (77-19)/2 = 29. So we can actually just take 96*29 = 2784. This is the sum of all numbers between 19 and 77
Answer:
Area of room = 21 * 16
= 336 m²
Area of Carpet = (21 - 1)* (16-1)
= 20*15
= 300
Area of border = Area of room - Area of carpet
= 336 - 300
<h3>= 36 m².</h3>
The attached picture is a summary of all the six transformations you'd do.
Any change outside the f(x) notation impacts y-values of points on the graph.
Any changes inside the f(x) notation impacts x-values of points on the graph.
The trick is that the inside changes are usually the opposite of what you'd expect to have happen.
7. y=f(x)+8
This is an outside change. You're adding 8 to all the y-values of points on the graph. This will shift your entire graph up 8 units.
8. y=f(x+6)
This is an inside change. Because it says "+6", you want to think, "Ah! That means I'll actually subtract 6 from the x-value of every point on the graph." This graph is shifted 6 units to the left.
9. y=-f(x)
Inside change, impacts y-values. Every y-value will be given the opposite signs. Negatives become positive and positives become negative. This will flip your graph over the x-axis.
10. y = f(-x) + 5
Give this one a shot on your own first in a comment and I'll let you know how you did.
11. y = - 3 f(x-3)
There are three things happening. A negative on the outside, multiplying by 3 on the outside, and subtracting 3 inside. What will each of those do individually? Take a shot on this one and let me know what you think.
12. y = 1/2 f( 1/2 x )
Again, three changes. Try this one and let me know what you think. Remember multiplying by 1/2 inside really means you'll do the opposite of multiplying by 1/2.