Answer:
12 slides
Step-by-step explanation:
Okay so we know that Val:
takes 1/6 hours to do each slide
has 2hrs
To figure this question out we have to divide fractions.
To divide a fraction you multiply the dividend by the reciprocal of the divisor.
My simple dictionary:
Dividend - The First number in a fractional problem
Divisor - The second number in a fractional problem
Reciprocal - a fraction flipped upside down so that the numerator is now the denominator. For example 3/2 = 2/3
Now that that is done let's look at the problem.
We have to divide 2 by 1/6 or multiply 2/1 by 6/1
To multiply a fraction we just multiply numerator by numerator and denominator by denominator.
2 x 6 = 12
1 x 1 = 1 (duh)
So, in conclusion, Val can create 12 slides in 2 hours :D
that was some really explicit stuff .-.
Answer:
Step-by-step explanation:
sinθ = 10/25 = ⅖
θ = arcsin(⅖) = 23.6°
21,4,18,9,25,16,27,30,33,15,31
Nana76 [90]
Answer:
Step-by-step explanation:
What are u looking for?
![{\qquad\qquad\huge\underline{{\sf Answer}}}](https://tex.z-dn.net/?f=%20%7B%5Cqquad%5Cqquad%5Chuge%5Cunderline%7B%7B%5Csf%20Answer%7D%7D%7D%20)
Here we go ~
The general equation of ellipse is :
![\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{ {a}^{2} } + \cfrac{ {y}^{2} }{ {b}^{2} } = 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B%20%7Ba%7D%5E%7B2%7D%20%7D%20%20%2B%20%20%5Ccfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B%20%7Bb%7D%5E%7B2%7D%20%7D%20%20%3D%201)
[ because it's a horizontal ellipse with centre at origin ]
so, let's equate given equation with the standard equation ~
![\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{64} + \cfrac{ {y}^{2} }{36} = 1](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccfrac%7B%20%7Bx%7D%5E%7B2%7D%20%7D%7B64%7D%20%20%2B%20%20%5Ccfrac%7B%20%7By%7D%5E%7B2%7D%20%7D%7B36%7D%20%20%3D%201)
se get :
As we know, length of minor axis is : 2b = 2 × 6 = 12 units
and, the smaller circle has diameter = 2b = 12 units
so, it's radius = 6 units ~
Now, let's write the equation of circle with origin as centre and radius = 6 units
![\qquad \sf \dashrightarrow \: {(x - h)}^{2} + (y - k) {}^{2} = {r}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%28y%20-%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20)
[ h = 0, k = 0, since circle has centre at origin ]
![\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} = 36](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%3D%2036)
Step-by-step explanation: Lets estimate first to the nearest whole number.
15.8 kilograms estimated is 16 kg
17.42 kilograms estimated is 17 kg
16.28 kilograms estimated is 16 kg
Now add the estimated values, 16 + 17 + 16 = 49 kg
The estimate gives you the correct answer because it gives you an accurate reasonable amount in this problem.