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Nezavi [6.7K]
3 years ago
9

Simplify (sec θ – tan θ)2

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

2 sec (θ )  −  2 tan ( θ )

Step-by-step explanation:

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Gina says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.
Elena L [17]

Answer:

\sqrt{149\\ \\

However, that's the length of "c" and you're looking to drag it in. So,o you drag in 10^2+7^2=a^2.

Then, as shown by the first picture attatched, you can drag in the one with "c" and "a" with the five shown.

Step-by-step explanation:

To find "c" the diagonal, as explained, you need to use the theorem twice. You can first use it by finding "a", as you already have "b". To find a, you do 10^2+7^2=a^2, the hypotenuse.

100+49=149.

So, a is root 149.

a^2+b^2=c^2 so

149+25=174

5 0
3 years ago
Andy has the Rope 0.9 meters long Sherry has a rope one and a half times as long as Andy's how long is Shirley's wrote
Bogdan [553]

1.35 SHOULD BE YOUR ANSWER


3 0
4 years ago
What is number 3 and 4 answers
schepotkina [342]

Step-by-step explanation:

8 0
3 years ago
Solve the formula for t.<br> d= rt
alexira [117]
Answer: t=d/r
Your welcome
3 0
3 years ago
Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
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