Answer:
Exact-$1,536 Estimate-$1,500
Step-by-step explanation:
26+22=48
48 x 32 = 1,536
Estimate-1,500 or 1,540
Exact-1,536
Answer:
x = 6
Explanation:
y = x - 4
26 = 4x + y
If y = y, then we can rewrite this system as this: 4x + x - 4 = 26
Then we combine like terms and add 4 on both sides to give us 5 x = 30
. Divide by 5 on both sides and we arrive at the solution: x = 6
check the picture below.
so the triangular prism is really just 3 rectangles and 2 right-triangles,
now, we know the base of one of the triangles is 2.6, what's its height?
since it's a right-triangle, we can simply use the pythagorean theorem to get "h".

so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.
![\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)} \\\\\\ 11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Btwo~triangles%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%282.6%29%284.5%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%282.6%5Ccdot%204.3%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%203.9%29%7D~~%2B~~%5Cstackrel%7Brectangle%7D%7B%284.3%5Ccdot%205.2%29%7D%0A%5C%5C%5C%5C%5C%5C%0A11.7%2B11.18%2B22.36%5Cimplies%20%5Cblacktriangleright%2045.24%20%5Cblacktriangleleft)
I hope this helps you
3/12=5/x
1/4=5/x
x=4.5
x=20
Answer: a = -2/3
Step-by-step explanation:
Let's start by multiplying both sides by
to simplify:




Looking only at the exponents, it seems like
, so
.