Reyna puts 1/4 pound

I need help i dont understand how to do this!!

Schach [20]

Answer:

16, see below :)

Step-by-step explanation:

Hello!

We can use the pythagorean theorem because one of the angles is 90 degrees. According to the theorem, a^2 + b^2 = c^2

a is 12, b is unknown, and c is 20

Now we use the theorem

12^2 + b^2 = 20^2

144 + b^2 = 400

b^2 = 256

b = sqrt(256)

b = 16

5 0

2 years ago

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Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The vertex of the graph is (h,k).
The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point.
The value of h determines how far left or right the parent function is translated.
The value of k determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

Please mark my answers as the Brainliest if you find this helpful :)

5 0

2 years ago

Explain how to model the division of –20 by –5 on a number line.

djyliett [7]

Answer:

Yes bbtbtbt B

Step-by-step explanation:

7 0

3 years ago

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Write each of the following as a function of theta. 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

Just the answer Please hurry

kaheart [24]

Answer:

We have been given that a car can travel 476 miles on 14 gallons of gas and we are asked to write an equation relating the distance d to the number of gallons g.

We can set an equation as distance traveled is directly proportional to number of gallons used in travelling that distance.

Now we will find out K(number of miles traveled in one gallon of gas) by substituting our given values in this equation.

Therefore, we can see that car travels 34 miles in one gallon of gas.

Now we can use this information to find out how many gallons of gas does this car need to travel 578 miles.

Let us divide number of miles to be traveled by number of miles traveled in one gallon of gas to find out number of gallons of gas needed.

Therefore, car need 17 gallons of gas to travel 578 miles.

Step-by-step explanation:

5 0

2 years ago

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