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3 years ago

10

Convert to standard form: F(x) = 2x + 4

1 answer:

mote1985 [20]3 years ago

7 0

The answer will be F=2x/x + 4/x

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arlik [135]

Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

To find:

The value of $\cos \theta$ .

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

$Hypotenuse=\sqrt{(3x)^2+(5x)^2}$

$Hypotenuse=\sqrt{9x^2+25x^2}$

$Hypotenuse=\sqrt{34x^2}$

$Hypotenuse=x\sqrt{34}$

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos \theta=\dfrac{5x}{x\sqrt{34}}$

$\cos \theta=\dfrac{5}{\sqrt{34}}$

Therefore, the value of $\cos \theta$ is $\dfrac{5}{\sqrt{34}}$ .

8 0

3 years ago

7+a+8+a= pls help pls help

Alina [70]

Answer:

15+2a

Step-by-step explanation:

7+a+8+a=15+2a

7 0

3 years ago

Jack mails 10 packages that each weigh the same amount. If the combined weigh of all 10 package is 67 1/2 pounds, how much does

kykrilka [37]

The answer is 6.75, I hope this helped

7 0

3 years ago

Find the value of x and y that will make each quadrilateral a parallelogram.

Tatiana [17]

Answer:

the opposite Angles sum up to give 180

Step-by-step explanation:

3y +3y = 180

y=30

if y = 30 the x = 55

are you clear?

7 0

3 years ago

Read 2 more answers

The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 5

Nadya [2.5K]

Answer: $\Large\boxed{20 < h < 80}$

Step-by-step explanation:

<u>Given inequality </u>

$|h-50| < 30$

<u>The goal of the question</u>

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

<u>Simplify the absolute value sign</u>

$h-50 < 30$ or $h-50 > -30$

<u>Add 50 on both sides</u>

$h-50+50 < 30+50$ or $h-50+50 > -30+50$

$\Large\boxed{h < 80}$ or $\Large\boxed{h > 20}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

1 year ago