Answer: The number 0
x^2 + 8x - 4 = x^2 + 8
8x - 4 = 8 ... subtract x^2 from both sides
8x = 12 .... add 4 to both sides
x = 12/8 .... divide both sides by 8
x = 3/2 ... reduce
x = 1.5 .... convert to decimal form
Now plug x = 1.5 into the expression 2x-3 and simplify
2x-3 = 2*1.5-3 = 3-3 = 0 which is the answer
Answer:
11°
Step-by-step explanation:
Here in the figure , angle(BAC) = angle(QSR) = 45°
also, angle(ABC) = angle(SQR) = 80°.
In triangle SQR,
angle(QSR) + angle(SQR) + angle(SRQ) = 180°
=> angle(SRQ) = 180 - ( 45 + 80 )
= 180 - 125
= 55°
But angle(SRQ) = 5x ( its given in question )
So,
5x = 55°
=> x = 11°
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
Answer:
43.75 ft²
Step-by-step explanation:
= (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
<em /><em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>
<em /> = 2(3.5√(3.5/2)² + 6²)
<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>
<em /><em> </em>= 2(3.5√1.75² + 6²)
<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>
= 2(3.5√3.0625 + 36)
<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>
<em /> = 2(3.5√39.0625)
<em>Step 5: The square root of 39.0625 is 6.25.</em>
<em /><em> </em>= 2(3.5 * 6.25)
<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>
<em /> = 2(21.875)
<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>
<em /> = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
<em />
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Answer:
Yes, I am 99% sure your right.
