Answer: 40 unit²
Step-by-step explanation:
A square pyramid is composed of 1 square and 4 congruent triangles
STEP ONE. Find the area of the square.
A=b²
b=base
A=b²=4²=14
STEP TWO. Find the area of the triangle
A=(1/2)bh
b=base
h=height
A=(1/2)bh
A=(1/2)(4)(3)
A=(1/2)(12)
A=6
There are 4 congruent triangles, so 6×4=24
The surface area of whole=24+16=40 unit²
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Answer:
30 gallons of 20% acid solution should be mixed.
Step-by-step explanation:
Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.
Therefore, final volume of the solution will be (x + 30) gallons.
Now concept to solve this question is
20%.(x) + 40%.(30) = 30%.(x + 30)
0.20(x) + 0.40(30) = 0.30(x + 30)
0.20x + 12 = 0.30x + 9
0.30x - 0.20x = 12 - 9
.10x = 3
x = 
x = 30 gallons
Therefore, 30 gallons of the 20% acid solution should be mixed.
Answer:
{x,y} = {-1,-10/7}
Step-by-step explanation:
Answer:
0.8988
Step-by-step explanation:
the first digit is tenths, then hundredths, then thousandths, then tenthousanths, so you know your end result will have four digits after the decimal. since 9 is greater than 5, you round up the seven before it to an 8. the result is 0.8988
Answer:
C:
or 
Step-by-step explanation:
To solve the equation
we need to factor it
We are looking for two numbers that when multiplied give -12 and when added give -x
This means that when factored, the equation would be 
Now we can set each of these equal to 0, which means that at
and
, the equation will equal 0