Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
I tried to help but couldn’t :)
so we know that each m&m weighs about 2g.
the next line says to write a direct variation equation.
(definition: mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other)
we then make the equation ( w=xm), then we use that equation to figure out the next line, which is to find the amount of m&ms that would fit in a bag of 1000.
(my head cant really process part a cause of a recent headache, so sorry if its wrong)
the answer to part b would be 500, which you can provide evidence based off of your part a equation.
Answer: C
The total height of a 3 inch tree after it grows 2 inches per month
