Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
Let, the number = x
Then, x * 92% = 253
x = 253 / 0.92 [ 92% = 0.92 ]
x = 275
In short, Your Answer would be 275
Hope this helps!
Answer:
The answer to your question is:
x = -8; y = 1 ; z = -4
Step-by-step explanation:
Δ = ![\left[\begin{array}{ccc}-5&1&-4\\2&4&3\\6&-3&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%26-4%5C%5C2%264%263%5C%5C6%26-3%26-2%5Cend%7Barray%7D%5Cright%5D)
= 40 + 24 + 18 - (-4 + 45 - 96)
= 82 + 55
= 137
Δx = ![\left[\begin{array}{ccc}60&1&-4\\-12&4&3\\-52&-3&-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D60%261%26-4%5C%5C-12%264%263%5C%5C-52%26-3%26-2%5Cend%7Barray%7D%5Cright%5D)
= - 480 - 144 - 156 - ( 24 - 540 + 832)
= -780 -316
= - 1096
Δy =
= 40 + 24 + 18 - ( - 4 + 45 - 96)
= 82 + 55
= 137
Δz = ![\left[\begin{array}{ccc}-5&1&60\\2&4&-12\\6&-3&-52\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%261%2660%5C%5C2%264%26-12%5C%5C6%26-3%26-52%5Cend%7Barray%7D%5Cright%5D)
= 1040 - 360 - 72 - ( - 104 - 180 + 1440)
= 608 - 1156
= -548
x = -1096/ 137 = -8
y = 137 / 137 = 1
z = -548 / 137 = -4
Answer:
Let
x = number of yards mowed
The domain of the function is
5 ≤ x ≤ 20
If we multiply the inequality by 25, we get
125 ≤ 25*x ≤ 500
Which is the same as
125 ≤ f(x) ≤ 500
(Range of the function)
Domain 5 ≤ x ≤ 20
Range 125 ≤ f(x) ≤ 500
5/8 * 15 = 9.375000 exactly. The closest number to 9 is 3, which is below 5. This means to round the number down to the number it is closer to. 9.375 is closer to 9 than any other number, so we round it down to 9. Since Cassidy has 10 feet of string, and she uses the same amount for each bracelet, we can assume that she has enough to make 15 bracelets, possibly even 16.
