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3 years ago

David drove 366 miles in 10 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.

Mathematics

1 answer:

Tomtit [17]3 years ago

8 0

366/10
As improper fraction= 168/5
As Mixed number= 36/6/10
Simplified mixed number= 36/3/5
As a decimal= 36.6

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PLEASE HELP IM DESPERATE precalculus. also 50 points!! please god help

kompoz [17]

Answer:

For B thru F these options will vary but here how you do it

B. Step 1 Draw the 4 Quadrants.

Then Draw the Triangle in the lower right quadrant which we call quadrant 4. Label the X axis as Adjacent and positive. Label the Y axis as Opposite and negative. Label the Slanted side as the hypotune and AS POSITVE SINCE HYPOTENUSE IS ALWAYS POSITIVE.

FOR C. IN QUADRANT 2, PLOT A POINT AT 0,12 AND AT (-5,0). CONNECT THE DOTS AND IT FORMS A TRIANGLE. Label the X axis as adjacent and negative and the y axis as positve and opposite and label the slanted side hypotunese and positive.

FOR D Draw a straight line along the x axis then draw a slanted line passing through (5,-1). In between them put the theta symbol in there.

The labeling is the same for C.

For E. Since tan must be positve and secant must be positve, our triangle must be in the 1st Quadrant. Draw any right triangle as long it is in the first quadrant

The x axis is adjacent and positve. The y axis is opposite and positve. The hypotenuse is the slanted side and it is positve.

For F. Since sin is negative and cos is positve the triangle is in the 4th quadrant. Draw any triangle in the 4th quadrant and the labeling is the same for Problem B.

2. We can find the sec of cos by flipping cosine.

$\cos( \frac{x}{y} ) = \sec( \frac{y}{x} )$

$\cos( \frac{1}{2} ) = \sec(2 )$

Sec is 2.

To find the cotangent, first let find the sin then tan.

We can use the identity

$\cos( {theta}^{2} ) + \sin( {theta}^{2} ) = 1$

Let plug in the number

$\cos( \frac{ {1}^{2} }{{2}^{2} } ) + \sin(x {}^{2} ) = 1$

$\cos( \frac{1}{4} ) + \sin(x {}^{2} ) = 1$

$\sin(x {}^{2} ) = 1 - \frac{1}{4}$

$\sin(x {}^{2} ) = \frac{3}{4}$

$\sin(x) = \frac{ \sqrt{3} }{ \sqrt{4} }$

$\sin(x) = \frac{ \sqrt{3} }{2}$

Since sin is negative, sin x=

$- \frac{ \sqrt{3} }{2}$

Now let apply the formula

$\frac{ \sin(x) }{ \cos(x) } = \tan(x)$

$\frac{ \frac{ - \sqrt{3} }{2} }{ \frac{1}{2} } = \tan(x)$

$- \sqrt{3}$

Now let find cotangent we can the reciprocal of

tan.

$\tan= - \sqrt{3}$

$\cot = - \frac{1}{ \sqrt{3} }$

Rationalize denominator

$\frac{ - 1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt -{ 3} }{3}$

cotangent equal

$- \frac{ \sqrt{ 3} }{3}$

4 0

3 years ago

How do the constant of proportionality and slope relate to the unit rate

Pepsi [2]

Answer:

When a relationship is proportional, all y over x ratios simplify to the slope of the line which is the constant of proportionality or the unit rate, with one as a denominator. Example: Consider the equation y = 60x. The slope is 60. The rate of change is 60 units for every one unit.

Step-by-step explanation:

7 0

3 years ago

Plz help❤️ I need it urgent help

NNADVOKAT [17]

Answer:

3. B.

1. 3551.

Step-by-step explanation:

3. For two equations to have infinite solutions, the equations must be the same.

y = -5x + 6

5x + y - 6 = 0

Multiply the whole thing by 2.

10x + 2y - 12 = 0

1. Michelle rides roller coasters 3 times and plays the super swing 5 times, which means that A = 3 and B = 5.

Marty rides the roller coasters 5 times and plays the super swing 1 time. That means C = 5 and D = 1.

So, your answer will be 3551.

Hope this helps!

4 0

4 years ago

Select the correct answer from each drop-down menu.

ruslelena [56]

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

The independent variable is the input of the relation

The dependent variable is the output of the relation
The values of dependent variables depend on the values of independent variables
When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months: 0 : 1 : 2 : 3 : 4

→ Number of Fish : 1,024 : 1,280 : 1600 : 2,000 : 2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Learn more:

You can learn more about the relation in brainly.com/question/10708697

#LearnwithBrainly

6 0

3 years ago

Please i will mark as brainly list if it is right

zhannawk [14.2K]

Answer:

Step-by-step explanation:

you are welcome

6 0

3 years ago

Read 2 more answers