PLEASE HELP ME WITH THIS QUESTION 1. Which value is equivalent to sin20∘?

Answers

Answer 1

Answer:

The answer is cos70

the angles add up to 180, so 180 - 90 - 20 = 70 degrees.

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Combine the like terms to simplify the expression:9 + 3 + 17xy2 + 8y3 + 10x –13xy2 – 9x – 6y3 A. 2y6 + 4x2y2 + 10x + 12 B. 2y3 – 4xy2 – 3x + 12 C. 2y3 + 4xy2 + 10x + 9 D. 2y3 + 4xy2 + x + 12
How can you decide which variable to solve for first when you are solving a linear system by substitution

What is the height, width, and length

Answers

so, let's say the length is "L".

width = 2 shorter than L = L - 2.

height = 9 more than twice L = 2L + 9.

check the picture below.

keeping in mind that the volume of a rectangular prism is simply the product of its length, width and height, and since we know the volume has to be 45.

$\bf 45=(L)(L-2)(2L+9)\implies 45=(L)(2L^2+5L-18) \n\n\n 45=2L^3+5L^2-18L\implies 0=2L^3+5L^2-18L-45 \n\n\n \stackrel{\textit{now let's do some grouping}}{0=(2L^3+5L^2)-(18L+45)}\implies \stackrel{\textit{common factor}}{0=L^2(2L+5)-9(2L+5)}$

$\bf \stackrel{\textit{again common factor}}{0=\underline{(2L+5)}(L^2-9)}\implies \stackrel{\textit{difference of squares}}{0=(2L+5)\stackrel{\downarrow }{(L^2-3^2)}} \n\n\n 0=(2L+5)(L-3)(L+3)\implies L= \begin{cases} -\cfrac{5}{2}\n[1em] \boxed{3}\n -3 \end{cases}$

from those 3 factors, we get those solutions/zeros.

we can't use -5/2, or -3, because the length can't be a negative value, so L = 3.

that means the width = 3 + 2, and the height = 2(3) +9.

What is the area of the shaded region in the figure shown?A
18.6 cm2

B
21.9 cm2

C
61.5 cm2

D
65.5 cm2

Answers

the correct answer would be d

an item that costs $50 is marked 20% off. sales tax for the item is 8%. What is the final price, including tax

Answers

$Marking\ off:\ 50-20\%*50=50-0.2*50=50-10=40\$\n\nTax:\ 40\$+8\%*40=40+0.08*40=40+3.2=43.2\$\n\nFinal\ price\ is\ 43.2\$.$

How is 40 gummy bears for 5 dollars written as a fraction?

Answers

40/5 because to find the answer you would divided them

40/5 you'd have to divide them together to see how much each gummy bear cost.

12 out of 18 students buy pizza for lunch on Fridays. At this rate if there are 240 students in the entire school, how many students can be expected to buy pizza for lunch this Friday?

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160. This is because u take the total(240) divide it by 18 and multiply by 12.

however, you can also simplifiy the fraction (12/18) into (2/3) and divide by the bottom denominator (3) and multiply by the top numerator. ;)

Can someone put this in order

Answers

The first has value 2500*(1+.05*9)=3625. The second, similarly, has value 4160, and the third, 3400. Thus, the order, from least to greatest, is third, first, second.

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