Finding side lengths with trigonometry

Answer:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

[tex]x \ge 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^{\frac{1}{3}}[/tex]

[tex]g(x) = 2x^{\frac{1}{2}}[/tex]

Solving (a): (f + g)(x)

In functions:

[tex](f + g)(x) = f(x) + g(x)[/tex]

So, we have:

[tex](f + g)(x) = 3x^{\frac{1}{3}}+2x^{\frac{1}{2}}[/tex]

Solving (b): The domain of f(x)

For (f + g)(x) to be defines, the value of x must be greater than or equal to 0.

Hence, the domain is:

[tex]x \ge 0[/tex]

Answer:

Step-by-step explanation:

Answer:

its A or the first one ;)

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (16, 17) and (x₂, y₂ ) = (15, 16)

m = [tex]\frac{16-17}{15-16}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

Find Unit Rate : 5/2= 2.5

Unit Rate for Silvia is  2.5

Written out : 2 pages x 2.5 = 5 minutes

Example : 1 page to 2.5  minutes

What we found : ___ pages to 60 minutes(60 divided by 2.5) is  

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

Find Unit Rate : 6/3= 2

Unit Rate for Silvia is  2

Written out : 3 pages x 2 = 6 minutes

Example : 1 page to 2  minute

What we found : ___ pages to 60 minutes(60 divide by 2) is

Final Step : 30 - 24 = 6

Answer:

I'm not sure

I think its 30 or 26

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

The ladder laying against the wall will create a right triangle.

The side lengths will be 18 and 24 and you will solve for the hypoteneuse which will be the length of the latter.

You can use the pythagorean theorm so

[tex]a^{2} +b^{2} =c^{2}[/tex] so you plug in the values

[tex]18^{2}+24^{2} =c^{2} \\324+576=c^{2} \\900=c^{2} \\\sqrt{900} =\sqrt{c^{2} } \\30=c[/tex]

Answer:

draw a even shape , symbol

Step-by-step explanation:

examples- a 5x5 square , a regtangler room that is 10/1/2 feet by 8 feet.

Answer:

draw the shape or composite shape

You can use graph paper to help you make scale drawings.

Answer:

10

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

I took the Quiz

Answer:

D.) $4 per min.

Step-by-step explanation:

in the first increase we go up 5 minutes and up $20

this trend stays equal just with 10 minute and $40 increases

this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4

hope this helps chu babe <3

Answer:

A, B, C, D, and F

Step-by-step explanation:

Replace x with the number options (remember to multiply the options by a negative one since x is negative).

3*-1=-3 -3 is greater than or equal to -4

-3*-1=3 3 is greater than or equal to -4

4*-1=-4 -4 is greater than or equal to -4

-4*-1=4 4 is greater than or equal to -4

4.001*-1=-4.001 -4.001 is not greater than or equal to -4, so this does not work

-4.001*-1=4.001 4.001 is greater than or equal to -4

Hope this helps!

Answer:

35.8591

Step-by-step explanation:

Answer: a

Step-by-step explanation:

So XY is a quarter of the circumference, that means the other part is 3/4

circumference is 2pir which is 20pi

20pi x 3/4 = 15 pi m

Answer:

The answer is 30πm.

Hope it helps uh.

Thanks

Answer:

12/35

Step-by-step explanation:

you have to just multiply across

[tex] \frac{4}{5} \times \frac{3}{7} = \frac{12}{35} [/tex]

The answer as a fraction is 12/35

The answer as a decimal is 0.343

Step-by-step explanation:

Answer: c=4

Step-by-step explanation:

c^2+3^2=5^2

c^2+9=25

c^2=16

c=4

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

[tex]H^2=B^2+P^2[/tex]

Here given that,

One of the legs of a right triangle measures [tex]3[/tex] cm and it's hypotenuse measure [tex]5[/tex] cm

Let the base of triangle is [tex]x[/tex].

So,

[tex]H^2=B^2+P^2\\\\(5)^2=x^2+(3)^2\\\\25=x^2+9\\\\25-9=x^2\\\\16=x^2\\\\x=4[/tex]

Hence, the other leg if necessary round to the nearest tenth is [tex]4cm[/tex].

To know more about the triangle

https://brainly.com/question/14712269

#SPJ5

179 is the value of the expression

Step-by-step explanation:

I did math

Step-by-step explanation:

2 - ( - 3)

= 2 + 3

= 5

Hope it helps

Answer:

5

Step-by-step explanation:

2 - ( - 3)  = 2 + 3  = 5

Answer:

b

Step-by-step explanation:

Answer:

B. $1.30

Step-by-step explanation:

Answer:

240.6 ft is your answer of your question.

Answer:

Step-by-step explanation:

to find x we will use cos function

[tex] \quad \: \cos( \theta) = \dfrac{adj}{hypo} [/tex]

substitute the value of [tex]\theta[/tex] and adj:

[tex] \quad \: \cos( {67}^{ \circ} ) = \dfrac{94}{x} [/tex]

cross multiplication:

[tex] \quad \: x\cos(67^{\circ})= 94 [/tex]

divide both sides by cos(67°) :

[tex] \quad \: \dfrac{x \cos( {67}^{ \circ} ) }{ \cos( {67}^{ \circ} ) } = \dfrac{94}{ \cos( {67}^{ \circ} ) } \\ \therefore \: x = 240.6[/tex]

Emily earned more

Step-by-step explanation:

45.50 x 6= 273

Answer:

X=5+y

Step-by-step explanation:

Since the y variable is being added by 5 each time x goes up the answer is x=5+y

Answer:

1) y = 5x

Step-by-step explanation:

0 x 5 = 0

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

SO y = 5x

Answer:

1,960,000Joules

Step-by-step explanation:

Gravitational Potential Energy is expressed as;

GPE = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Given

m = 1000kg

h = 200m

g = 9.8m/s

Substitute;

GPE  = 1000 * 9.8 * 200

GPE = 9800 * 200

GPE = 1,960,000Joules

Hence the GPE of the balloon is 1,960,000Joules

Answer:

That video should help you a lot...

Step-by-step explanation:

https://youtu.be/u2L0qWVePfc

Answer:

bajjaoasawwwssahwiwoa

16??

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

Answer:Move −25-25.

10a+5b−25

Step-by-step explanation:

Answer:

(-2a +5 - b)(-5)

Step-by-step explanation: