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2 years ago

Please help! I get how to do the first part I just don't get how to do the second part.

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

7 0

9514 1404 393

Answer:

WX = 33

(x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

WX = 33

The hash marks also tell you ...

PW = WS

y +4x = 18 . . . . . . substitute the given expressions

and also

QX = XR

2y +x = 22 . . . . . substitute the given expressions

If you solve the first equation for y, you get ...

y = 18 -4x

Substituting that into the second equation gives ...

2(18-4x) +x = 22

36 -7x = 22 . . . . . . . simplify

14 = 7x . . . . . . . . . . . add 7x-22 to both sides

2 = x . . . . . . . . . . . . divide by 7

y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

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Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm thick to a hemispherical dome

pogonyaev

The amount of paint is the volume of paint needed.

The amount of paint needed is 0.065312 cubic meters

<h3>How to determine the amount of paint needed</h3>

The volume of a hemisphere is:

$V = \frac 23\pi r^3$

Differentiate the above equation

$V' = 2\pi r^2 r'$

The above equation represents the estimate of the amount of paint needed.

Where:

r represents the radius (r = 52/2 m)
r' represents the thickness (r' = 0.04 cm)

So, we have:

$V' = 2\pi r^2 r'$

$V' = 2 * 3.14 * (52/2\ m)^2 * (0.04cm)$

$V' = 2 * 3.14 * (26\ m)^2 * (0.04cm)$

Express cm as m

$V' = 2 * 3.14 * (26\ m)^2 * (0.0004m)$

$V' = 0.065312 m^3$

Hence, the amount of paint needed is 0.065312 cubic meters

Read more about volumes at:

brainly.com/question/10171109

3 0

1 year ago

Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The m

DaniilM [7]

Answer:

The trestle meets ground level at 0.875 units and 9.125 units

Step-by-step explanation:

Poorly formatted question.

The given equation is:

$y = -x^2 + 10x - 8$

Required

The point where the trestle gets to the ground level

To do this, we set $y = 0$

So, we have:

$-x^2 + 10x - 8 = 0$

Multiply through by -1

$x^2 -10x + 8 = 0$

Solve using quadratic formula:

$x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where:

$a = 1; b =-10; c = 8$

So, we have:

$x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}$

$x= \frac{-(-10) \± \sqrt{68}}{2*1}$

$x= \frac{-(-10) \± 8.25}{2}$

$x= \frac{10 \± 8.25}{2}$

Solve the fraction

$x= 5 \± 4.125$

Split

$x= 5 + 4.125\ or\ x= 5 - 4.125$

$x= 9.125\ or\ x= 0.875$

7 0

2 years ago

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST

german

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

8 0

2 years ago

Jim drank 2/5 of his water bottle and John drank 3/10 of his water bottle. How much did the both boys drink?

suter [353]

The boys drink 7/10 of a water bottle

1. Convert 2/5 into 4/10
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2 years ago

Home heating oil is sold by the gallon. Last winter the romano family used 370 gallons of oil at a price of $3.91 per gallon. If

shusha [124]

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if you're looking for the total expense next year:

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6 0

2 years ago