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3 years ago

2

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

Step-by-step explanation:

first step is to set up an equation : 3x-105+2x+10=180

second step is to add like terms : 5x-95=180

third step is to add 95 to both sides: 5x=275

last step is divide 275 ( 180 + 95 ) by 5

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A circle is placed in a square with a side length of 18 mm, as shown below. Find the area of the shaded region.

finlep [7]

Answer: the shaded region = 69.66mm^2

Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle

Find area of square:
Side length = 18mm
Area = 18 x 18 = 324

Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34

Now find X
X = 324 - 254.34 = 69.66

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3 years ago

Find the equation of line that passes through the points: A(2,3) and B(4,6)

valentinak56 [21]

Answer:

Step-by-step explanation:

Hello : let A(2,3) B(4,6)

the slope is : (YB - YA)/(XB -XA)

(6-3)/(4-2) = 3/2

an equation is : y=ax+b a is a slope

y = (3/2)x +b

the line through point (2,3) : 3 = (3/2)(2)+b

b = 0

the equation is : y =(3/2)x

8 0

3 years ago

The sum of 2 consecutive numbers is 43. What are the numbers

Evgesh-ka [11]

21 and 22 because 21+22=43

5 0

3 years ago

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

3 years ago

The sales tax in your city is 8.8%, and an item costs $63 before tax.

Maru [420]

Answer: 5.54

Step-by-step explanation:

amount of tax paid = item cost * tax rate

item cost = 63

tax rate - 8.8% = 0.088

tax paid = 63 * 0.088 = 5.54

8 0

4 years ago

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