Answer:
60
Step-by-step explanation:
4 = 1
1 = 60
Answer:
1/2 × 3/4
Step-by-step explanation:
-$-$+#$;$;!_;+_+$;_;$+
Answer:
Step-by-step explanation:
![y=-x^2-12x-4\\\\y=-(x^2+12x)-4\\\\y=-(\underline{x^2+2\cdot x\cdot6+6^2}-6^2)-4\\\\y=-\left[(x+6)^2-36\right]-4\\\\y=-(x+6)^2+36-4\\\\\bold{\underline{y=-(x+6)^2+32}}](https://tex.z-dn.net/?f=y%3D-x%5E2-12x-4%5C%5C%5C%5Cy%3D-%28x%5E2%2B12x%29-4%5C%5C%5C%5Cy%3D-%28%5Cunderline%7Bx%5E2%2B2%5Ccdot%20x%5Ccdot6%2B6%5E2%7D-6%5E2%29-4%5C%5C%5C%5Cy%3D-%5Cleft%5B%28x%2B6%29%5E2-36%5Cright%5D-4%5C%5C%5C%5Cy%3D-%28x%2B6%29%5E2%2B36-4%5C%5C%5C%5C%5Cbold%7B%5Cunderline%7By%3D-%28x%2B6%29%5E2%2B32%7D%7D)
Answer:
1064 m²
Step-by-step explanation:
The surface area of the prism can be gotten by saying
14 * 14 + 14 * 14 + 14 * 24 =
196 + 196 + 336 =
728 m²
Again, after dealing with the rectangle, we then face the triangle.
Area of triangle is
1/2 * 14 * 24
There are 2 triangles so this makes it
2 * 1/2 * 14 * 24 =
336
The surface area is finally
336 + 728 = 1064 m²
Surface area of the triangular prism has been calculated to be 1064 m²
Answer:64mi/hour
Step-by-step explanation:
V=speed × time
V=s×t .....equation (1)
v=576
for taking one hour: t-1
speed is: s+8
From equation(1)
V=(s+8)(t-1)
(s+8)(t-1)=576
Expand the bracket
st-s+8t-8=576
Substitute the value of st which is 576
576-s+8t-8=576
Collect the like terms
-s+8t-8=0
s=8t-8
Subtitude into the value of s
576= (8t-8)×t
576=8t^2-8t
8t^2-8t=576
8t^2-8t-576=0 (divide both by 8)
t^2-t-72=0
By factorization method
Product is (-9 and 8)
(t-9)(t+8)=0
t=9 or t=-8
V=s×t
576=s×9
9s=576
s=576/9
s=64mi/hour
