The picture in the attached figure

we know that
surface area=2*area of the base+perimeter*height

area of the base=area of the triangle
area of the base=3*4/2----> 6 cm²

perimeter of the base=perimeter of triangle
perimeter=3+4+5----> 12 cm
height=x cm

surface area=2*6+12*x
surface area=204 cm²
12+12*x=204
12*x=204-12
12*x=192
x=192/12
x=16 cm

the answer is
16 cm

6 0

3 years ago

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –

olga2289 [7]

Given the equation $|x-72.5|=4$ .

When x is maximum, we have

$|x-72.5|= x-72.5$ . Hence $x-72.5 =4\\x=76.5$

The maximum temperature is $76.5\; ^oF$

When x is minimum, we have

$|x-72.5|=72.5-x$ . Hence $72.5-x =4\\x=68.5$

The minimum temperature is $68.5\; ^oF$

7 0

3 years ago

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Find real or imaginary solutions of x^4-10x^2=-9

malfutka [58]

This resembles a quadratic and we can factor it using that pattern.

$(x^2)^2-(10x^2)+9=0$

$(x^2-9)(x^2-1)$

$(x+3)(x-3)(x+1)(x-1)=0$

6 0

3 years ago

Which expression is equivalent to –2(5x – 0.75)?

zzz [600]

-10x + 1.5 because you get rid of the parenthesis so -2 times 5 is -10 ( -10x ) and then -2 times -0.75 equals positive 1.5 due to two negatives canceling out to positive hope this helped!

4 0

3 years ago

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