Here, we need to set up the ratios.
height / width = 3 / 4
So, what is the width if the height is 4.5?
4.5 / width = 3/ 4
Cross multiply
18 = 3 width
6 = width
Answer:
Step-by-step explanation:
z\6+7= 11
To check if 24 is the solution for the equation, substitute 24 for z and check if the answer is 11
24/6+7=4+7=11
So, the solution is correct
Answer: 30 students: $346.5
1 student: $11.55
Step-by-step explanation:
Rule: For any triangle, the smallest angle is always opposite the smallest side.
(a similar rule is that the largest angle is opposite the largest side)
We see that AC = 9 is the shortest side. Angle B is opposite this side. Therefore, angle B is the smallest angle. We don't know what angle B is in terms of a number and we don't need to find out.
Answer: choice B) angle B
side note: we could use the law of cosines to actually compute the numeric value of angle B, but that's more work than needed
Answer:
Step-by-step explanation:
First of all, I have a strong feeling that that is supposed to be
so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is
, the exponential form of it is
. We will apply that here to solve for y:
![2^y=32](https://tex.z-dn.net/?f=2%5Ey%3D32)
which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:
![2^y=2^5](https://tex.z-dn.net/?f=2%5Ey%3D2%5E5)
Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.