Is √(9+16 ) the same as √(9 ) + √(16 ).​

Answers

Answer 1
Answer:

Answer:

No

Step-by-step explanation:

√((9+16)) = √(25) = 5

compared to

√(9) + √(16) = 3 + 4 = 7

Thus

√((9+16))√(9) + √(16)


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How do you do this ?

Answers

T is 71 degrees. We know this because the area of a triangle is 180 degrees, you add the angles given 27+82 which equals 109 then subtract that from 180 to find the missing angle “T” 180-109=71

Answer:

71 degrees

Step-by-step explanation:

The angles in a triangle add to 180 degrees, so

∠M + ∠A +∠T = 180

We know ∠M is 82 degrees, and ∠A is 27 degrees, so we can substitute them in.

82+27+∠T=180

109+ ∠T=180                      Combine like terms by adding 82 and 27

109-109+ ∠T=180-109        Subtract 109 from both sides to get ∠T by itself

∠T=71

So, the m∠T is 71 degrees

Please help me thanks :)

Answers

Answer:

1895.22 feet^2

Step-by-step explanation:

So starting off we will find the area of the hexagon.

The formula is complicated so I won’t write it.

The area is 509.22 feet^2.

Now for the triangles.

So the base is 14 feet and the height is 33 feet.

After multiplying them and dividing them by two I got 231 feet^2.

Then multiplying 231 by 6 I got 1386 feet^2.

So adding up 1386 and 509.22 I got 1895.22 feet^2.

Simplify 2m - [n - (m - 2n)].

Answers

the answer to the problem is 3m-3n

Answer: the correct answer is 3m-3n

In a basketball game, the home team scores (2m+39) points and the away team scores (3m+40) points, where m is the number of minutes since halftime. Who wins the game. What is the difference in the scores m minutes after halftime?​

Answers

Answer: The away team will win by m + 1 points

Step-by-step explanation: Minutes can't be negative, so m must either always be positive, or be 0 for a minute then positive for the rest of the game. Therefore, for any positive value m, 3m + 40 will always be greater than 2m + 39. So, the away team will win. To get the difference in points, subtract the two expressions to get m + 1

A savings account accrues interest at a rate of 3.0% yearly. If someone opens an account with $2,500, how much money would the account have after 5 years?

Answers

3\%=(3)/(100)=0,03\n\n First\ year:2500+2500*0,03=2500+75=2575\n\nSecond\ year:\ 2575+2575*0,03=2575+77,25=2652,25\n\nThird\ year:\ \ 2652,25+2652,25*0,03=2652,25+79,5675=\n\n2731,8175\n\n Fourth\ year: 2731,8175+2731,8175*0,03=2731,8175+81,954525\n\n=2813,772025\n\nFifth\ year:\ 2813,772025+2813,772025*0,03=\n\n2813,772025+84,41316075=2898,18518575\$

Write the expression as either the sine, cosine, or tangent of a single angle. sin(pi/2)cos(pi/7)+cos(pi/2)sin(pi/7)

Answers

I will use the sin (a + b) identity: 
sin (a + b) = sina cosb + cosa sinb and
here a = π/2 and b = π/7 


so sin (π/2 + π/7) 
= sin (9π / 14)

Answer:

\text{sin}((9\pi)/(14)).

Step-by-step explanation:

We have been given a trigonometric expression \text{sin}((\pi)/(2))\text{cos}((\pi)/(7))+\text{cos}((\pi)/(2))\text{sin}((\pi)/(7)). We are asked to write our given expression as either the sine, cosine, or tangent of a single angle.

Using identity \text{sin}(a)\text{cos}(b)+\text{cos}(a)\text{sin}(b)=\text{sin}(a+b), we can rewrite our given expression.

Let a=(\pi)/(2) and b=(\pi)/(7).

Upon substituting these values in above identity, we will get:

\text{sin}((\pi)/(2))\text{cos}((\pi)/(7))+\text{cos}((\pi)/(2))\text{sin}((\pi)/(7))=\text{sin}((\pi)/(2)+(\pi)/(7))

Upon simplifying right side of our equation, we will get:

\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((\pi*7)/(2*7)+(\pi*2)/(7*2))

\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((7\pi)/(14)+(2\pi)/(14))

\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((7\pi+2\pi)/(14))

\text{sin}((\pi)/(2)+(\pi)/(7))=\text{sin}((9\pi)/(14))

Therefore, our required expression would be \text{sin}((9\pi)/(14)).