In circle o, diameter AB, chord BC, and radius OC

98 pts to correct answer! CALCULUS BC Trig Substitution (SEE Attached)

storchak [24]

Answer:

A

Step-by-step explanation:

Let x = Tan $(\theta)$

dx = sec² $(\theta)$ d $(\theta)$

sqrt(1 + $Tan^2(\theta)$ ) = sec $(\theta)$

So I = Tan(theta) * sec(theta)

but Tan(theta) = sin(theta) / cos(theta) = sin(theta)*sec(theta)

So I = integral sin(theta)*sec^2(theta) d theta

Answer A

4 0

3 years ago

Read 2 more answers

80% of how many games is 32

Nina [5.8K]

Answer:

The total number of games is 40.

Step-by-step explanation:

Let us assume the total number of games played is x.

So 80% of total number of games is,

$=x\times \dfrac{80}{100}$

$=x\times \dfrac{4}{5}$

As it is given as 32, so

$\Rightarrow x\times \dfrac{4}{5}=32$

$\Rightarrow x=32\times \dfrac{5}{4}$

$\Rightarrow x=8\times 5$

$\Rightarrow x=40$

Therefore, the total number of games is 40

3 0

3 years ago

Read 2 more answers

Based on the table, how many boys who prefer soccer would you

Citrus2011 [14]

Answer:

Option B) 100

Step-by-step explanation:

we know that

For a total number of 80 students , the number of boys that prefer soccer is equal to 10 (based on the table)

so

using proportion

Find out the number of boys that prefer soccer for a total number of 800 students

$\frac{80}{10}=\frac{800}{x}\\\\x=800(10)/80\\\\x=100$

5 0

4 years ago

There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student populat

Norma-Jean [14]

Hello there.

There were 196 students that participated in a clean-up event at a nearby lake. this is one fourth of the entire student population. write and solve an equation to find the number of students at this school.

Answer: x is the number of students in the school.
 $\frac{x}{4}$ = 196.
196 x 4 = 784.
Therefore the number of students in this school is 784.

Hope This Helps You!
Good Luck Studying ^-^

6 0

4 years ago

A study of 250 households in a cedar bluff showed that a household produced an average of 4 pounds of garbage per day. What is t

mel-nik [20]

Answer:

See explanation

Step-by-step explanation:

1. The sample of this study is 250 households in a cedar bluff. Population sample means the total number of units or participants are participating in a study to determine the result.

2. The population of interest refers to the objects and measurement through which a population sample can be measured to make a bold decision. Here, 4 pounds of garbage per day is a measurement to make a valuable decision to validate the study.

5 0

3 years ago