3 years ago

Given that tan2theta=3/8,what is the value of sec theta

1 answer:

4 0

There's an identity

sec^2 x = 1 + tan^2 x

so here we have

sec^2 theta = 1 + (3/8)^2 = 73/64

sec theta = sqrt 73 / 8 or 1.068 to nearest thousandth

You might be interested in

Help me please I’m so confused

lesya [120]

12= -12
-1/2= 1/2
.25 =-.25
-27=27
0=0

8 0

3 years ago

Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplica

Grace [21]

Because is division is before multiplication you have to do division even though the m is before d.

7 0

3 years ago

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu

Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: $P(A)=0.9$

$P(A^c)=0.1$

$P(B|A^{C})=0.25$

If it is given that the answer is correct , then the probability that he guess the answer $P(B|A)= 1$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}$

$=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730$

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0

3 years ago

The number of students in my class went from 25 students to 30 students. What was the percent increase?

Marrrta [24]

Answer:

30/25 - 1 = 0.2 = 20% increase

5 0

3 years ago

Read 2 more answers

How do I solve for x??

Cloud [144]

The two angles given are vertical angles which mean they are the same.

x +40 = 60

Subtract 40 from both sides:

x = 20

4 0

3 years ago

Read 2 more answers