All categories

3 years ago

Please help me with this question helel

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

6 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

Given

tan x = $\sqrt{3}$ , then

x = $tan^{-1}$ ( $\sqrt{3}$ ) = 60° ← related acute angle

Since 180° < x < 270° and tan x > 0 then x is in third quadrant

x = 180° + 60° = 240°

and

sin(x - 210)°

= sin(240 - 210)°

= sin30°

= $\frac{1}{2}$

You might be interested in

An internet charges a flat rate of $6.50 for shipping. If x represents the cost of items purchased and y represents the total co

Oxana [17]

Question:

An Internet business charges a flat rate of $6.50 for shipping. If x represents the cost of the items purchased and y represents the total cost with shipping, which equation best represents the relationship between x and y?

Answer:

y = 6.5 + x represents the relationship between x and y

Solution:

Given that,

An internet charges a flat rate of $6.50 for shipping

Let "x" be the cost of items purchased

Let "y" be the total cost with shipping

Therefore,

Total cost with shipping = flat rate of 6.50 + cost of items purchased

Thus, we get,

y = 6.50 + x

y = 6.5 + x

Thus the above equation represents the relationship between x and y

8 0

3 years ago

Last year, there were 400 students at albright middle school. this year, the student population will increase by 5%. what will b

Stells [14]

Answer:

D.420

Step-by-step explanation:

400 *0.05 = 20 so adding it to 400 will equal to 420

7 0

3 years ago

Read 2 more answers

A microwave was bought for 15,000 and sold for 14,000.What is the percentage loss?

lbvjy [14]

Answer:

~6.7%

Step-by-step explanation:

A microwave was bought for 15,000 and sold for 14,000

=> The loss is 15000 - 14000 = 1000

=> The percentage of loss is 1000/15000= 0.066 = ~6.7% of original price

Hope this helps!

7 0

3 years ago

Suppose the half-life of a decaying radioactive isotope is 674 years. How long will it takefor the isotope to decay from 100 gra

KonstantinChe [14]

The half life formula is :

$N(t)=N_o(\frac{1}{2})^{\frac{t}{T}}$

where N(t) = remaining quantity after t years

No = Original Quantity

t = time in years

T = half life in years

From the problem, we have :

N(t) = 30 grams

No = 100 grams

T = 674

Solve for t :

$\begin{gathered} 30=100(\frac{1}{2})^{\frac{t}{674}} \\ \frac{30}{100}=(\frac{1}{2})^{\frac{t}{674}} \\ \frac{3}{10}=(\frac{1}{2})^{\frac{t}{674}} \end{gathered}$

Take ln of both sides :

$\begin{gathered} \ln (\frac{3}{10})=\ln (\frac{1}{2})^{\frac{t}{674}} \\ \ln (\frac{3}{10})=\frac{t}{674}\ln (\frac{1}{2}) \\ t=\frac{674\ln (\frac{3}{10})}{\ln (\frac{1}{2})} \\ t=1170.71 \end{gathered}$

The answer is t = 1170.71 years

5 0

1 year ago

The sum of three fourths of the number a and 24 is negative 9. What is the value of a?

Sindrei [870]

Answer:

-44

Step-by-step explanation:

3/4 a+24=-9

3/4 a=-9-24

3/4a=-33

multiply by 4

3a=-132

a=-132/3=-44

8 0

4 years ago