Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
Answer:
-1/200
Step-by-step explanation:
To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.
now, let's keep in mind that, the integers are consecutrive, therefore, if one is say 2, the other is either, 3 or 1, because 1,2,3 <--- notice, 1 is before 2 and 3 is after 2.
so say, our first integer is "a", then the next one can just be "a+1".
![\bf \begin{cases} a&=small\\ a+1&=\stackrel{consecutive}{large}\\ \end{cases}\qquad \begin{cases} \stackrel{\textit{4 times the small}}{4a}\\ \stackrel{\textit{13 greater than that}}{4a + 13} \end{cases}~\hfill \stackrel{\textit{large}}{a+1}=\stackrel{\stackrel{\textit{13 more than }}{\textit{4 times the small}}}{4a+13} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%20a%26%3Dsmall%5C%5C%20a%2B1%26%3D%5Cstackrel%7Bconsecutive%7D%7Blarge%7D%5C%5C%20%5Cend%7Bcases%7D%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7B%5Ctextit%7B4%20times%20the%20small%7D%7D%7B4a%7D%5C%5C%20%5Cstackrel%7B%5Ctextit%7B13%20greater%20than%20that%7D%7D%7B4a%20%2B%2013%7D%20%5Cend%7Bcases%7D~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Blarge%7D%7D%7Ba%2B1%7D%3D%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7B13%20more%20than%20%7D%7D%7B%5Ctextit%7B4%20times%20the%20small%7D%7D%7D%7B4a%2B13%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
let's recall that, on the negative side in a number line, the closer to 0, the larger the number, therefore, -1,000,000 is a much <u>smaller</u> number than -1, because -1 is closer to 0, thus is larger.
Answer: 2
Step-by-step explanation:
The given equation is in slope-intercept form. It is y=mx+b. In this equation, m stands for slope and b stands for y-intercept. Looking back at the equation, we see that in place of m is 2. That tells us that the slope is 2.
Answer:
You have 48
Brother has 38
Step-by-step explanation:
Say your brother has x and you have y
x + 5 = y - 5 x = y - 10
y + 14 = 2x - 14
y + 14 = 2y - 20 - 14
y = 48
x = 38
