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3 years ago

Whats the scientific notation of 0.258

1 answer:

7 0

3 x 10^-5.
Explanation: You move the decimal point 5 places to the right, hence it becomes 3 x 10 to the power of NEGATIVE 5 (moved 5 places right)

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Hi, can you help me to solve this exercise, please!

Yuri [45]

Trigonometric Identities.

To solve this problem, we need to keep in mind the following:

* The tangent function is negative in the quadrant II

* The cosine (and therefore the secant) function is negative in the quadrant II

* The tangent and the secant of any angle are related by the equation:

$\sec ^2\theta=\tan ^2\theta+1$

We are given:

$\text{tan}\theta=-\frac{\sqrt[]{14}}{4}$

And θ lies in the quadrant Ii.

Substituting in the identity:

$\begin{gathered} \sec ^2\theta=(-\frac{\sqrt[]{14}}{4})^2+1 \\ \text{Operating:} \\ \sec ^2\theta=\frac{14}{16}+1 \\ \sec ^2\theta=\frac{14+16}{16} \\ \sec ^2\theta=\frac{30}{16} \end{gathered}$

Taking the square root and writing the negative sign for the secant:

$\begin{gathered} \sec ^{}\theta=\sqrt{\frac{30}{16}} \\ \sec ^{}\theta=-\frac{\sqrt[]{30}}{4} \end{gathered}$

5 0

1 year ago

Of the 60 students in a school, 24 are currently studying chemistry. Exactly 16 of the girls in the school are not currently stu

garri49 [273]

Answer:

7 boys.

Step-by-step explanation:

Given:

Total number of students in the school = 60

Total number of girls in the school = 33

Total number of students currently studying chemistry = 24

Total number of girls not currently studying chemistry = 16

Question asked:

How many boys are currently studying chemistry ?

Solution:

Total number of girls in the school = 33

Total number of girls not currently studying chemistry = 16

Total number of girls currently studying chemistry = Total number of girls in the school - Total number of girls not currently studying chemistry

Total number of girls currently studying chemistry = 33 - 16 = 17

Now:-

Total number of boys and girls currently studying chemistry = 24

Total number girls currently studying chemistry = 17

Total number of boys currently studying chemistry = Total number of boys and girls currently studying chemistry - Total number girls currently studying chemistry

Total number of boys currently studying chemistry = 24 - 17 = 7

Therefore, 7 boys are currently studying chemistry.

5 0

3 years ago

What is the length of a rectangle with an area of (4

Luda [366]

I think 54 is the answer of this puestion

5 0

2 years ago

1/2x + 1/3y = 5 1/4x + y = 10

Pavel [41]

The answer for your question is (x,y)=(4,9)