WHICH EXPRESSION IS EQUIVALENT TO SIN 22 COS 18 + COS 22 SIN 18?

Answers

Answer 1

Answer: $sin(\alpha+\beta)=sin\alpha cos\beta+cos\alpha sin\beta\n\nsin22^ocos18^o+cos22^osin18^o=sin(22^o+18^o)=sin40^o\approx0.6428$

Answer 2

Answer:

Answer:

find the exact value using trigonometric identities 0.6427876

Step-by-step explanation:

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Rewrite $2x {}^(2) + 2y {}^(2) - 8x + 10y + 2 = 0$
in standard form find the center and radius of the circle.show all of your work for full credit

Answers

Final answer:

The given equation can be rewritten into the form of an equation for a circle with center (h,k) and radius r. After completing the squares for x and y coefficients, we determine the center as (2, -5/2) and radius as 1.

Explanation:

The provided equation is 2x2 + 2y2 - 8x + 10y + 2 = 0.Let's rewrite it in the form of an equation for a circle, which is (x-h)^2 + (y-k)^2 = r^2, where (h,k) represents the center of the circle and r represents the radius:

First, we group the terms related to x and y separately like this: 2(x2- 4x) + 2(y2 + 5y) +2 = 0.

Now, re-arrange the terms to complete the square: 2[(x-2)^2 - 4] + 2[(y+5/2)^2 - (5/2)^2] + 2 = 0.

Re-arrange again, this time to make it equate to zero: (x-2)^2 + (y+5/2)^2 = 1. Hence, the circle's center (h,k) is at (2, -5/2) and the radius (r) is the square root of 1, which is 1.

Learn more about Circle in Standard Form here:

brainly.com/question/29000730

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Answer:

first group x's with x's and y's with y's

then complete the squra with x's and y's

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

2(x^2-4x)+2(y^2+5y)+2=0

take 1/2 of linear coeficient and square

-4/2=-2, (-2)^2=4

5/2=2.5, 2.5^2=6.25

add that and negative inside

2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0

factor perfect squares

2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0

distribute

2(x-2)^2-8+2(y+2.5)^2-12.5+2=0

2(x-2)^2+2(y+2.5)^2-18.5=0

add 18.5 both sides

2(x-2)^2+2(y+2.5)^2=18.5

divide both sides by 2

(x-2)^2+(y+2.5)^2=9.25

that is a circle center (2,-2.5) with radius √9.25

Kendall is working on a math worksheet with 40 problems. He has completed 20 problems in 15 minutes. If he continues at the same pace, how long should it take him to finish the worksheet?20 minutes
25 minutes
30 minutes
35 minutes

Answers

Answer:

30 minutes in total

Step-by-step explanation:

It took him 15 min to finsih half the sheet

Aɴsᴡᴇʀ-30 Aʟʟ ᴜ ʜᴀᴠᴇ ᴛᴏ ᴅᴏ ɪs ᴛʜɪɴᴋ ᴀʙᴏᴜᴛ 15+15=30

Plz help what is 2x4+3x5(5x6)+2x6

Answers

2x4+3x5(5x6)+2x6 =
2x4+3x5x30+2x6=
8+15x30+12=
8+450+12=
470

Order of operations:
P parentheses
E exponents
MD multiplication/division
AS addition/subtraction

Start with parentheses
2x4+3x5(5x6)+2x6
2x4+3x5(30)+2x6
The 5 next to the 30 in parentheses means the 5 and 30 have a multiplication sign between them
2x4+3x5x30+2x6

Now exponents - we don't have any, so no worries

Now multiplication and division, in order from left to right
2x4+3x5x30+2x6
8+3x5x30+2x6
8+450+2x6
8+450+12

Now addition and subtraction, in order from left to right
8+450+12
458+12
470

After 3 hours, a bacteria colony has (25^3)^3 bacteria present. How many bacteria are in the colony

Answers

Answer:

25^9

Step-by-step explanation:

(25^3)^3 = 25^(3 * 3) = 25^9

Edith spends 8 hours a day working in her office and 1 hour in the office taking lunch. She wrote this equation to represent the total time she spends in the office in one day.t = 8 + 1

Edith works 5 days a week.

Which equation would represent the total time Edith spends in the office in one week?

A.
t = (5 • 8) + 1

B.
t = 5 • (8 + 1)

C.
t = 8 + (5 • 1)

D.
t = 5 + (8 + 1)