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algol13
3 years ago
12

Factorize: cos4θ + sin3θ . cosθ

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Answer:

Hope this was help full.

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on vacation sally stopped in Algebraville because of their famous pizza house pi-pizza. There they sold pizza by the slice. A sl
Eddi Din [679]

Answer:

600 Cheese and 900 Pepperoni

Step-by-step explanation:

Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).

In addition to the equation c + p = 1500(Number of pizzas sold)

Using the second equation (c + p = 1500) solve for one of the variables.

Lets use :

  1. p = 1500 - c
  2. Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
  3. Distribute 2.5, 2c + 3750 - 2.5c = 3450
  4. Combine like terms -0.5c + 3750 = 3450
  5. Solve for c: c = 600
  6. Plus 600 in for c into any equation ( lets use c + p = 1500)
  7. 600 + p = 1500
  8. P = 900
5 0
3 years ago
A scuba diver wants to descend at an average rate of at least 7 feet per minute for 5 minutes. The table shows how many feet the
gladu [14]

The scuba diver must descend 3 feet in the fifth minute to meet the goal.

Why?

To find how many feet does the scuba diver need to descend to reach the goal of 35 feet in 5 minutes, we need to calculate how many feet he did descend on the first 4 minutes.

So, calculating we have:

FirstMinute=9ft\\SecondMinute=11ft\\ThirdMinute=5ft\\FourthMinute=7ft\\Total=9ft+11ft+5ft+7ft=32ft\\\\Goal=35ft\\\\Needed=Goal-Total(4Minutes)\\\\Needed=35ft-32ft=3ft

Hence, we can see that at the 4 minute, he has only descended 32ft. It means that he need to descend 3 feet more in the fifth minute.

Have a nice day!

7 0
3 years ago
manuel ate 1/3 of the crackers on a plate. his brother ate 1/4 of the crackers. there were 5 crackers left on the plate. how man
Neporo4naja [7]

Answer:

there would have been 12 crackers on the plate at the start

Step-by-step explanation:

So 1/3 +1/4 = 7/12

Therefore 5/12 left on the plate …ie 5.

So total to start with

5/5×12=12

Ans 12

5 0
3 years ago
Write a equation in slope intersect form for points (0,8) and (9,5)
lyudmila [28]

y = mx+b

(5-8)/(9-0) = -1/3 which is m

solve point slope to find slope intercept by using one of the points (0,8)

y-y1=m(x-x1)

y-8 = -1/3(x-0)

y-8 = -1/3x

Answer: y = -1/3x + 8

3 0
3 years ago
Indentify the slope of the parallel line to the equation: y = 3/5x + 13
Rudiy27

Answer:

3/5

Step-by-step explanation:

Parallel lines have equivalent slopes. Therefore, the slope of the parallel line to y = 3/5x + 13 would have to be 3/5.

5 0
3 years ago
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