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3 years ago

Sin y = cos ( y + 2° )

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Answer:y=44°

Step-by-step explanation:

Sin y =cos [90°-y]

It is Given that sin y =cos (y+2°)

Cos[90°-y]=Cos(y+2°)

90°-y=y+2°

88°=2y

y=44°

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Solve for t: <br> -4(t+4)=-8t-24

kotykmax [81]

Answer:

$\rm{-2$

Step-by-step explanation:

Hi there!

$\rm{-4(t+4)=-8t-24}$

$\rm{-4t-16=-8t-24$

$\rm{-4t+8t=-24+16$

$\rm{4t=-8$

$\rm{-2$

Thus, $-2$ is our final answer.

Hope it helps! Enjoy your day!

$\bold{GazingAtTheStars}$

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2 years ago

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A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

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3 years ago

Select all expressions that are equivalent to

sweet [91]

2x + 5(–4x + 10) - (x + 4).

-4+10=14

x+4=5-9

2x+5=7x

7+9=18

18-14=4

4 is your answer

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3 years ago

COPY THE TABLE BELOW IN YOUR NOTEBOOK. THEN ROUND EACH ITEM TO THE NEAREST HUNDREDTHS AND THOUSANDS

kobusy [5.1K]

What’s the items number. ? When rounding everything in front of the decimal find the place value it wants you to round then if it’s 5 or below round the the lowest whole number. If it’s behind a decimal you would do the same thing. It’s the number is higher than 5 round it up.

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3 years ago

Calculate the area of the irregular polygon shown below

BARSIC [14]

Your answer: a)24 square inches

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3 years ago

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