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diamong [38]
4 years ago
7

Trigonometry Trigonometric Functions Given: Tan θ = (7/5), Find: Sec θ

Mathematics
1 answer:
kykrilka [37]4 years ago
7 0

Answer:

secθ = sqrt(74)/5, -sqrt(74)/5

Step-by-step explanation:

1 + tan²θ = sec²θ

1 + (7/5)² = sec²θ

1 + 49/25 = sec²θ

74/25 = sec²θ

secθ = sqrt(74)/5, -sqrt(74)/5

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Please help me, I don’t understand
White raven [17]

Answer:

73, 74, 75

Step-by-step explanation:

So the sum of three consecutive integers is 222.

Let's let the first integer be n.

Then the second integer <em>must</em> be (n+1).

And the third integer must be (n+2).

They total 222, thus:

n+(n+1)+(n+2)=222

Combine like terms:

3n+3=222

Subtract 3 from both sides:

3n=219

Divide both sides by 3:

n=73

So, the first integer is 73.

So our sequence is 73, 74, and 75.

And we're done!

5 0
3 years ago
If 6 pounds of blueberries costs $16.50, is $1 for 2.75 pounds of blueberries true?
strojnjashka [21]

Step-by-step explanation:

Hmm I'm not sure but (no) I think

6 pounds = $16.50

1 pound = $16.50 ÷ 6

=$2.75

$16.50 = 6 pounds

$1 = 6 ÷ $16.50 = 4/11 pounds (0.36363636......)

5 0
3 years ago
13 out of 20 jelly beans are green what percent of the jelly beans are green
Fittoniya [83]

Answer:

65%

Step-by-step explanation:

a great way of thinking about it is

20⇒100%

13⇒?

now what you do is multiply 13x 100 and divide it with 20

4 0
2 years ago
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is g (h( 24 ) ) ?
love history [14]
You must calculate h(24) first.  h(x) = x^2 + 1, so h(24) = 577.

g(x) = 3x, so g(577) = 3(577) =  1731 (answer).  We don't need f(x).
4 0
4 years ago
A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.
patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

brainly.com/question/2882938

#SPJ1

5 0
3 years ago
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