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3 years ago

Use the equation given below to find f '' (π/ 3) . f(x) = sec x

1 answer:

8 0

F'(x) = secxtanx
f''(x) = (secx)^3 + (secx)^2*(tanx)^2
Plug in $\pi$ / 3 and you get 8 + 12 = 20

Check me on that i did it in my head but it should be right

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Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

skelet666 [1.2K]

Angles formed by the segment $\overline{XZ}$ in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; 16 over 12 equals 12 over 9

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment $\overline{XZ}$ is perpendicular to segment $\overline{WY}$

∠WZX and ∠XZY are right angles by definition of $\overline{XZ}$ perpendicular to $\overline{WY}$

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

$\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}$

$\displaystyle \mathbf{ \frac{XZ}{ZY}} = \frac{12}{9} = \frac{4}{3}$

Therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ , which gives, $\displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}$

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ which is; 16 over 12 equals 12 over 9

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0

2 years ago

Luis has saved $6. He doubles the amount he saves each week.Does this represent an exponential function?Complete: this______ rep

Gre4nikov [31]

Answer:

This does represent an exponential function , because his savings increase by a constant rate

Step-by-step explanation:

Let

x -----> the number of weeks

y ----> the amount saved

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

a is the initial value

b is the base

r is the rate of change

where

$a=\$6$

$r=100\%=100/100=1$ ---- because he doubles the amount each week

$b=1+r$ ----> $b=1+1=2$

substitute

$y=6(2)^{x}$

therefore

This does represent an exponential function , because his savings increase by a constant rate

8 0

3 years ago

A rectangular Persian carpet has a perimeter of 196 inches. The length of the carpetis 28 inches more than the width. Solve the

Pie

Width=35 inches and length=52 inches

7 0

3 years ago

Read 2 more answers

You have prizes to reveal! Go to your game board.

Luden [163]

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

5 0

3 years ago

Bella is typing a 400 word essay. She types 50 words in 2 minutes.

lara31 [8.8K]

Answer:

$y=25x$

Step-by-step explanation:

If Bella types 50 words in 2 minutes, we can divide 50 by 2 to see how many words she types in 1 minute.

$50/2=25$

So, Bella types 25 words per minute. When she first began writing her essay, she did not have words to start with, so there is no y-intercept ( $b$ ).

Therefore, the equation that represents this relation is $y=25x$ .

Solving the equation

We can divide 400 by 25 to determine how many minutes it would take her to finish her essay.

$\frac{400}{25} =16$

Therefore, it will take her 16 minutes to complete her essay.

#LearnWithBrainly

8 0

2 years ago