Answer:
1. you will multiply base times height:
16m * 12m = 192 sq m
2. same steps but just multiply it by two because its "twice as long"
18 cm * 6 cm = 108 * 2= 216
3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24
4. same steps like in question 1:
12 * 5 = 60
5. same steps like in question 1:
7 * 10 = 70
Step-by-step explanation:
hope this helps and have a great day!! :)
Answer:
3.44 cm
Step-by-step explanation:
When the pendulum is at its lowest point, the vertical length of the pendulum is L.
When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.
So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.
The pendulum swings 72° from right to left, or 36° from the vertical.
The length of the pendulum is 18 cm.
So the height is:
h = L − L cos θ
h = 18 − 18 cos 36°
h = 3.44
The function is f(x) = [2/3] [6^x]
It is an exponential function whose range is all the positive values. This is, for any value of x that exponential function yields a value that is greater than 0. The graph never crosses the x-axis.
When you reflect the function over the x-axis, you flip the graph over x, and you can see that the range of the new fucntion iis all the negative values, this is all the real numbers less than zero.
Answer: all the real numbers less than zero.
Answer:
Step-by-step explanation:
Given: A cubic kilometer=cubic centimeters
The volume of world’s oceans= cubic kilometers of water.
⇒ The volume of world’s oceans= cubic centimeters of water.
Volume of a bucket = 20,000 cubic centimeters of water.
The number of bucket-loads would it take to bucket out the world’s oceans
hence, bucketloads would it take to bucket out the world’s oceans.
Answer:
∠ 1 = 120°
Step-by-step explanation:
5x + 15 and 3x - 3 are same- side interior angles and sum to 180° , then
5x + 15 + 3x - 3 = 180 , that is
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
Then
5x + 15 = 5(21) + 15 = 105 + 15 = 120
∠ 1 and 5x + 15 are corresponding angles and are congruent , so
∠ 1 = 120°