Ask question

Ask question

All categories

2 years ago

5

1. sin(x+20) = cos(2x+10) 2. sin (2x+14) = cos(x-5)

1 answer:

lakkis [162]2 years ago

3 0

Answer:

x=20°

2.

x=27°

Step-by-step explanation:

sin(x+20)=cos (2x+10)

=sin (90-(2x+10))

so x+20=90-(2x+10)

x+20+2x+10=90

3x=90-30

3x=60

x=60/3=20

2.

2x+14+x-5=90

3x+9=90

3x=90-9=81

x=81/3=27

You might be interested in

A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5

Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element= $\frac{1}{6}$

We have to find that $P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)$

Total number of elements=6

$C_1$ ={1,2,3,4}

Number of elements in $C_1$ =4

$P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}$

Using the formula

$P(C_1)=\frac{4}{6}=\frac{2}{3}$

$C_2$ ={3,4,5,6}

Number of elements in $C_2$ =4

$P(C_2)=\frac{4}{6}=\frac{2}{3}$

$C_1\cap C_2$ ={3,4}

Number of elements in $(C_1\cap C_2)=2$

$P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}$

$C_1\cup C_2=$ {1,2,3,4,5,6}

$P(C_1\cup C_2)=\frac{6}{6}=1$

4 0

3 years ago

The length of a rectangular garden is 17 feet longer than its width. If the area of the garden is 234 square feet, what are the

kifflom [539]

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

= [-17 ± √1225] / 2

= [-17 ± 35] /2

= -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

3 0

2 years ago

One bottle of ongo pain medicine contains 60 tablets. How many tablets are contained in 3 3/4 bottle

Snowcat [4.5K]

answer:

600 tablets in 33/4

Step-by-step explanation:

60 =1bottle

33/4 =8.25 =8 bottles and1/4

60*8=480

480/4=120

120+480=600

5 0

3 years ago

Enguun earns $17 dollars per hour tutoring student-athletes at Brooklyn University

Savatey [412]

17×19.5=331.5 is the answer if I did it right

5 0

2 years ago

Helpppppp pleaseeeeeeee

arlik [135]

Answer:

16 2/3

Step-by-step explanation:

5 0

2 years ago