Answer: The area of the enclosure is 1,029 square meters
Step-by-step explanation: The first thing is to use the unit of measurement required by the question, and to do this we need to convert what we have to what is required.
If the scale of the diagram is given as every 4cm represents 7m, that means, every unit of the actual measurement would be given as
(X/4) x 7
For the length of the enclosure, we can determine that as follows;
Length = (28/4) x 7
Length = 7 x 7
Length = 49m
And for the width,
Width = (12/4) x 7
Width = 3 x 7
Width = 21m
Therefore, the area is calculated as,
Area = L x W
Area = 49 x 21
Area = 1029 m²
Answer:
7c-2
Step-by-step explanation:
7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.
Answer:
50ft
Step-by-step explanation:
Hi,
Considering that one side is equal to 38 degrees, we know this isn't a 30 - 60 - 90 triangle.
One of the legs is equal to 40 feet
So, tan(b) = 40/x
tan(38 degrees) is 0.78 round up to 0.8 (if that's what your teacher wants)
0.8 = 40/x
0.8x = 40
x = 50ft
I hope this helps
Answer:
Step-by-step explanation:
Left
As near as I can tell, the question is x^(1/2) * x^(1/2) = The bases are the same, so all you do is add the powers.
x^(1/2 + 1/2) = x^1 which is just x.
Right
The is another one where the work is hard to show. The numerator (m) of the fraction is the power and the denominator (n) is the root. That sentence is all the work there is.
So you would write ![\sqrt[m]{x^{n} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bm%5D%7Bx%5E%7Bn%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
