Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
20:5
The total number of jelly beans is 20, and there are 5 orange jelly beans. This is a total to part ratio because it’s comparing the entirety to a part.
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
8x + 1/2 or 8x + 0.5
Step-by-step explanation:
-6x + 3 3/4 + 14x - 3.25
u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter
-6x + 3 3/4 + 14x - 3 1/4
rearrange to make it easier, don't need to do this i'm just doing this for the sake of it
-6x + 14x + 3 3/4 - 3 1/4
8x + 2/4, simplify this
8x + 1/2
The decimal way if u want:
-6x + 3 3/4 + 14x - 3.25
-6x + 3.75 + 14x - 3.25
-6x + 14x + 3.75 - 3.25
8x + 0.5
Y equals volume of water, x equals time. If they ask to find the coordinates at one minute, then the first thing you should do is set x equal to 1. That leaves two possible answers. Finally you need to decide how much water is lost in one minute. if you need more help leave a comment.
