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3 years ago

12

Integral of of sin x/cosˆ2 x

1 answer:

marin [14]3 years ago

7 0

Answer:

$\sec x + c$

Step-by-step explanation:

$\int \frac{ \sin \: x}{ { \cos}^{2}x } \: dx \\ \\ = \int \frac{ \sin \: x}{ { \cos}x } . \frac{ 1}{ { \cos}x } \: dx \\ \\ = \int \tan x . \sec x \: dx \\ \\ = \sec x + c$

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Figure ABCD - Figure EFGH

Colt1911 [192]

<h3><u>Answer:</u></h3>

30.5 units

<h3><u>Step-by-step explanation:</u></h3>

We know that:

<u>Trapezoid ABCD has one side that is 25 unit. </u>
<u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
<u>EF = 6 units</u>
<u>EH = 12.5</u>
<u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>

<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>

<u>Work</u>

=> 6(3) + 12.5
=> 18 + 12.5
=> <u>30.5 units</u>

Hence, the perimeter of EFGH is 30.5 units.

$BrainiacUser1357$

4 0

2 years ago

Does anyone understand this?. I also have to show my work.

snow_lady [41]

Answer:

Ans A). The graph is shown.

Ans B). 18.3333 C temperature when F is 65 temperature

Ans C). 32 F when the line crosses the horizontal axis

Ans D). Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

Step-by-step explanation:

Given equation is C= $\frac{5}{9}(F -32)$

Ans A).

For the table,

Take the four value of F as 32,41,50,59.

For F = 32.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=0.

For F = 41.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(41 -32)$

C=05

For F = 50.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(50 -32)$

C=10

For F = 59.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=15

<em>Note: The figure shows a graph of given equation with points.</em>

Ans B). Estimate temperature in C when the temperature in F is 65

For F = 65.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

<em>C=18.333333.</em>

Ans C). At what temperature, graph lien cross the horizontal axis

When the line crosses the horizontal axis, C=0

Therefore,

C= $\frac{5}{9}(F -32)$

0= $\frac{5}{9}(F -32)$

0= $(F -32)$

F=32 Temperature.

Ans D). Slope of the line C= $\frac{5}{9}(F -32)$

The slope of line is given by s= $\frac{Y1-Y2}{X1-X2}$

Take points from the table of answer A.

let (32,0) and (41,5) using for slope.

s= $\frac{Y1-Y2}{X1-X2}$

s= $\frac{0-5}{32-41}$

s= $\frac{5}{9}$

Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

7 0

3 years ago

Sophia bought 3 yards of trim to put around a rectangular scarf. She wants the width of the scarf to be a whole number that is a

Helen [10]

I believe the answer is 24.You do 12 divided by 3 and then you get 4. Then you do 4 times 6 and get 24.

3 0

3 years ago

Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality repr

koban [17]

A or C hope that help

3 0

3 years ago

Read 2 more answers

What is the answer ?

eduard

Answer:

926

Step-by-step explanation:

920 - 444 = x - 450

476 = x - 450

x= 476 + 450 = 926

x = 926

7 0

3 years ago

Read 2 more answers