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3 years ago

Please do both! Will mark brainliest

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

1. x = 19.9 2. x = 8.1

Step-by-step explanation:

1. Cos(x) = Adjacent/Hypotenuse We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.

Cos(17) = 19/x We substitue in the values then rearrange to give us x.

xCos(17) = 19 We multiply both sides by x.

x = 19/Cos(17) We divide by Cos(17).

x = 19.86814337 We put it into the calculator.

x = 19.9 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

2. Tan(x) = Opposite/Adjacent We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.

Tan(51) = 10/x We substitute in the values then rearrange to give us x.

xTan(51) = 10 We multiply both sides by x.

x = 10/Tan(51) We divide by Tan(51).

x = 8.097840332 We put it into the calculator.

x = 8.1 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

Hope that helps you.

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Identify the exponential function below. Which of the following is the equation for this graph??

Elena-2011 [213]

Using a graph tool
see the attached figure

<span>let's graph all the cases to verify the answer

case A) f(x)=(3</span><span>^x)-2

case B) </span>f(x)=(4^x)-2

case C) f(x)=4^(x-2)

case D) f(x)=4^(x-2) +2------> this is the solution

the answer is the option D

5 0

3 years ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

vodomira [7]

First, we need her speed as it will serve as the slope of the equation.
Distance = 2 km
time = 18 min
Speed = 1/9 km/min
k = (1/9)t
Where k is the distance in km and t is the time in minutes.

6 0

3 years ago

during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak

STatiana [176]

<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

$f(t)=-16t^{2}+64t+4$

Where,

$a=-16\\b=64\\c=4$

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

$f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0$

Using the quadratic equation:

$\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615$

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

$f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0$

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

3 0

3 years ago

Kevin wants buy a subwoofer for his truck. The one he wants cost $370.00. Kevin earns $14.00 for 5 problems, how many problems w

miskamm [114]

Kevin would have to write 133 problems, as 14/5= $2.8 per problem 370/2.8= 132.14 but since he can’t be paid to write .14 of a problem he needs to finish it making the answer 133 problems

4 0

3 years ago

If an angle of 96 degrees is rotated 90 degrees clockwise. what the measure?

Natali [406]

Answer:

The measure is 6°.

Step-by-step explanation:

If an angle of 96 degrees is rotated 90 degrees clockwise then the measure of the new angle will be given by

= 96° - 90° = 6°

3 0

3 years ago