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3 years ago

12

22 23° Find the value of the missing angle x. x =

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

x value is this 26.087 may help u

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4 years ago

The dimensions of a closed rectangular box are measured as 97 cm, 67 cm, and 34 cm, respectively, with a possible error of 0.2 c

Dahasolnce [82]

Answer:

The maximum error in calculating the surface area of the box is $158.4 \:cm^2$ .

Step-by-step explanation:

Differentials are infinitely small quantities. Given a function $y=f(x)$ we call $dy$ and $dx$ differentials and the relationship between them is given by,

$dy=f'(x) \:dx$

If the dimensions of the box are $l$ , $w$ and $h$ , its surface area is $A=2(wl+hl+hw)$ and

$dA=\frac{\partial A}{\partial l}dl+\frac{\partial A}{\partial w}dw+\frac{\partial A}{\partial h}dh\\\\dA=2(w+h)dl+2(h+l)dw+2(w+l)dh$

We are given that $|\Delta l|\leq 0.2$ , $|\Delta w|\leq 0.2$ , and $|\Delta h|\leq 0.2$ .

To find the largest error in the surface area, we therefore use $dl=0.2, dw=0.2, dh=0.2$ together with $l=97, w=67,h=34$

$dA=2(w+h)dl+2(h+l)dw+2(w+l)dh\\\\dA=2(67+34)\cdot 0.2+2(34+97)\cdot 0.2+2(67+97)\cdot 0.2\\\\dA=158.4 \:cm^2$

An error of 0.2 cm in each dimension could lead to an error of $158.4 \:cm^2$ in the calculated surface area.

3 0

3 years ago