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3 years ago

If the sin(3x + 10)º = cos(x + 24)º, find x.

Mathematics

2 answers:

erastova [34]3 years ago

7 0

x = 14

Since sine and cosine are equal, the angles must be complementary.

3x + 10 + x + 24 = 90

4x + 34 = 90

4x = 56

x = 14

liq [111]3 years ago

5 0

Answer:

B) x=14

Step-by-step explanation:

Since sine and cosine are equal, the angles must be complementary.

3x + 10 + x + 24 = 90

4x + 34 = 90

4x = 56

x = 14

your welcome and everyone is smart some just dont know one of the answers

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A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied

maks197457 [2]

Answer:

C and E are correct

Step-by-step explanation:

We have to calculate mean , median and mode for both groups first:

So,

For the group that studied:

Mean = 92.61

Median=93.5

Mode = 100

For the group that didn't studied:

Mean = 76

Median = 79.5

Mode = No Mode

So,

For statement A:

the difference between means is: 92.61-76=16.61

So the statement is incorrect.

B: There is no mode of the group that studied.

This is not true as the group has a mode of 100

C.The median of the group that did not study is less than 80.

This is true as the median of the group that didn't study is 79.5.

D. The median of the group that studied is over 95

False as the median is less than 95.

E. In general, those students that studied scored much higher than those students that did not study.

As the mean of the group that studied is much more than the group that didn't study so the statement is true ..

6 0

3 years ago

What is the inequality?

erica [24]

Answer:

Step-by-step explanation:

Given

21 ≤ - 3(x - 4) < 30

Divide all intervals by - 3, reversing the inequality symbols as a result of dividing by a negative quantity.

- 7 ≥ x - 4 > - 10 ( add 4 to each interval )

- 3 ≥ x > - 6, that is

- 6 < x ≤ - 3 → D

6 0

3 years ago

Read 2 more answers

Which fraction divided by 3/6 is equal to -9/10

Ganezh [65]

Answer:

3 0

4 years ago

1.075(5.25)x - 5.25(0.25)(x-3)

Vitek1552 [10]

For this case we must simplify the following expression:

$1,075 (5.25) x-5.25 (0.25) (x-3) =$

So, solving the first parentheses we have:

$5.64375x-1.3125 (x-3) =$

We have to:

$- * + = -\\- * - = +\\5.64375x-1.3125x + 1.3125 (3) =\\5.64375x-1.3125x + 3.9375 =$

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

$4.33125x + 3.9375$

Finally, the simplified expression is: $4.33125x + 3.9375$

ANswer:

$4.33125x + 3.9375$

5 0

3 years ago

Please help to solve this.<br> Find sin5x,if sinx+cosx=1,4

MrMuchimi

Answer:

Hello,

Step-by-step explanation:

we must first remember that:

$\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\$

Let say t=sin(x)

$sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}$

8 0

3 years ago