Help need help with this

629,999rounded to the nearest hundred thousand is?

Lerok [7]

629,999 =630,000. Nearest hundred

4 0

3 years ago

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The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9

VashaNatasha [74]

Answer:

d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

(a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

3 0

3 years ago

Donna paid $3 to rent shoes and then $1 for each game she played at a bowling alley. She spent a total of $8 at the bowling alle

Alexxx [7]

Answer:If shoes are for all games in row, P = 2 + 3 g If not, P = 5 g ,with g the number of games

Explanation: The price depends:if shoes are included for the whole games, you just have to pay them once and then you have to pay

g g a m e s , so P ( g ) = 2 + 3 g Else, you have to pay g s h o e s and g b o w l p a r t y ,so

P ( g ) = 2g + 3 g⇔ P ( g ) = 5 g

Hope this helped hope you get a good score on your assignment/test/quiz/homework

3 0

3 years ago

Lilihoops1010 is asking for help! Go help them!

-BARSIC- [3]

Answer:

Okay! I'll go help! (◠‿◕)

7 0

3 years ago

For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form

jek_recluse [69]

Answer:

$\displaystyle \cos(A + B) =\frac{969}{1769}$

Step-by-step explanation:

We are given that:

$\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}$

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

$o=\sqrt{29^2-20^2}=21$

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

$h=\sqrt{11^2+60^2}=61$

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

$\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B$

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

$\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)$

Simplify:

$\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}$

3 0

3 years ago