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In-s [12.5K]
3 years ago
12

Recess began at 11:12am. It ended at 11:44am. How long was recess?

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

32 minutes

Step-by-step explanation:

44-12=32

kolezko [41]3 years ago
8 0

Answer:

32 minutes

Step-by-step explanation:

Both times were at 11 am and some minutes. The difference is only in the minutes.

44 - 12 = 32

Answer: Recess was 32 minutes long.

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Rewrite the product as a sum: 10cos(5x)sin(10x)
mote1985 [20]

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

8 0
3 years ago
Blake and three friends meet for lunch. His friends all get the same thing, but Blake gets a different lunch that cost $6. Write
sladkih [1.3K]

Answer:

Step-by-step explanation:

Friends lunch=8+8+8=$32

Blake's lunch=$6

32+6=$40 total

6 0
2 years ago
Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5
Crazy boy [7]

Answer: yes Jim is correct

5 0
2 years ago
What is 1/2 X (6 X 4)+3 + 2 Please show your work
exis [7]

Answer:

<h2>17</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17

4 0
2 years ago
Pls help I dont know how to do this​
german

Answer:

  • 1. CE = 63
  • 2. x = 16

Step-by-step explanation:

Use proportions to solve.

Corresponding sides have same ratio.

<u>Question 1</u>

  • DE/EG = CE/EF
  • (6x + 3)/17 = (8x - 1)/21
  • 21(6x + 3) = 17(8x - 1)
  • 126x + 63 = 136x - 17
  • 10x = 80
  • x = 8
  • CE = 8*8 - 1
  • CE = 63

<u>Question 2</u>

  • KM/MD = KZ/ZH
  • (x + 8)/21 = 32/28
  • x + 8 = 21*8/7
  • x + 8 = 24
  • x = 24 - 8
  • x = 16
5 0
3 years ago
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