Answer: 41.86 miles/hour
Step-by-step explanation:
Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [<em>in brackets</em>].
MPH MILES HOURS
50 20 [<em>0.4]</em>
[<em>40</em>] <u>70</u> <u>1.75</u>
Totals 90 miles 2.15 hours
Average = 90 miles/2.15 hours
41.86 mph
I think it's reflected and dilated.
The correct answer is D.
the total calorie intake mark wants is 510.
He takes 30 for side dish (30s) and 45 for entree (45e)
therefore 30s + 45e = 510
now that you have an equation, judging by the choice of answers given... you have to make s the subject of formula
30s + 45 e can be factorised to 15(2s+3e) = 510
divide 510 / 15 = 34
now we have 2s + 3e = 34
hence 2s = 34 - 3e
didvide by 2 to make s 'free'
therfore you'll get s = 17-(3/2)e
Hope this helps! :)
Answer:
<h2>282.857 in²</h2>
Step-by-step explanation:
The formula of a surface area of a cylinder:
![S.A.=2\pi r^2+2\pi rH](https://tex.z-dn.net/?f=S.A.%3D2%5Cpi%20r%5E2%2B2%5Cpi%20rH)
r - radius
H - height
We have:
r = 5 in
H = 4 in
Substitute:
![S.A.=2\pi(5^2)+2\pi(5)(4)=2\pi(25)+2\pi(20)\\\\=50\pi+40\pi=90\pi\ in^2](https://tex.z-dn.net/?f=S.A.%3D2%5Cpi%285%5E2%29%2B2%5Cpi%285%29%284%29%3D2%5Cpi%2825%29%2B2%5Cpi%2820%29%5C%5C%5C%5C%3D50%5Cpi%2B40%5Cpi%3D90%5Cpi%5C%20in%5E2)
![\pi\approx\dfrac{22}{7}](https://tex.z-dn.net/?f=%5Cpi%5Capprox%5Cdfrac%7B22%7D%7B7%7D)
Substitute:
![S.A.\approx90\cdot\dfrac{22}{7}=\dfrac{1980}{7}\approx282.857\ in^2](https://tex.z-dn.net/?f=S.A.%5Capprox90%5Ccdot%5Cdfrac%7B22%7D%7B7%7D%3D%5Cdfrac%7B1980%7D%7B7%7D%5Capprox282.857%5C%20in%5E2)
In the quadratic equation y = a
+ c ,the value of x = ± ![\sqrt \frac{y-c}{a}](https://tex.z-dn.net/?f=%5Csqrt%20%5Cfrac%7By-c%7D%7Ba%7D)
A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.
To find the value of x
Assuming ![a\neq o](https://tex.z-dn.net/?f=a%5Cneq%20o)
First, subtract c from both the sides to get:
![y-c=ax^{2}](https://tex.z-dn.net/?f=y-c%3Dax%5E%7B2%7D)
then, divide both sides by
and transpose to get:
![x^{2} =\frac{y-c}{a}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%5Cfrac%7By-c%7D%7Ba%7D)
So,
must be a square root of
and we can deduce:
± ![\sqrt \frac{y-c}{a}](https://tex.z-dn.net/?f=%5Csqrt%20%5Cfrac%7By-c%7D%7Ba%7D)
Learn more about quadratic equations here brainly.com/question/1214333
#SPJ9