Aarón rides his bike away from home at a constant speed he stops at the park for a while before riding back home at a constant speed

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Answer:

C.

Step-by-step explanation:

Pi = circumference / diameter.

Answer:

77) YES , 78) YES , 79) NO , 80) YES

Step-by-step explanation:

77) 12/4=3 and 18/6=3 so YES

78) 30/6=5 and 40/8=5 so YES

79) 36/25=1.44 and 48/40=1.2 so NO

80) 15/5=3 and 13.8/4.6=3 so YES

Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.

Answer:

[tex]6.29\%[/tex]

Step-by-step explanation:

[tex]\frac{175-164}{175}*100\%[/tex]

[tex]\frac{11}{175}*100\%[/tex]

[tex]0.0629*100\%[/tex]

[tex]6.29\%[/tex]

Answer: 1.833 and 3.167

Step-by-step explanation:

1 and 5/6 is demonstrated with this equation:

[tex]1 + \frac{5}{6} , \\\\\frac{6}{6} + \frac{5}{6} = \frac{11}{6} = 1.833\\[/tex]

3 and 1/6 is demonstrated with this equation:

[tex]3 + \frac{1}{6}, \\\\\frac{18}{6} + \frac{1}{6} = \frac{19}{6} = 3.167[/tex]

Answer:

There are 132,600 ways are there.

We note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways

well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.

we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that?  3x - 2.

Check the picture below.

Answer:

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

Answer:

$3.02

Step-by-step explanation:

Convert the Percentage to decimals:

3% / 100% = 0.03

15% / 100% = 0.15

3% / 0.03 part:

19.55 * 0.03 = 0.5865

19.55 + 0.5865 = 20.1365

OR, since it was "adde on" you can just use 1.03:

19.55 * 1.03 = 20.1365

15% / 0.15 part:

20.1365 * 0.15 = 3.020475

Round to nearest cent: $3.02

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Answer:

B (x-7<-6)

Step-by-step explanation:

x < 1

Answer:

2x + y = 26

Step-by-step explanation:

The standard form of a linear equation is   A x + By = C.

Simplify -2(x - 8)

Multiply -2 by -8

y - 10 = -2x + 16

2x + y - 10 = 16

Add 10 to both sides.

Add 16 and 10

Answer= 2x + y = 26

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.

The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.

Reasons:

The given parameter are;

Ratio of the volume of the cone to the cylinder to the 1 : 9

The height and diameter of the cone  are; 16 cm and 14 cm

The diameter of the cylinder = 28 cm

Required:

To find the height of the cone:

Solution:

[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]

[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]

Volume of a cylinder, V = π·r²·h

[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]

Volume of the cylinder, V = π × 14² × h = 2,352·π

The volume of the cylinder = 9 × The volume of the cone

Therefore;

[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]

[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]

The height of the cylinder, h = 12 cm

Learn more about ratios here:

https://brainly.com/question/4713715

Answer:

Step-by-step explanation:

$92.43 / 0.74 = $124.91

The total bill is equal to $124.9

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, the given bill as 74% of the total bill as $92.43

Thus the total bill must be = 92.43×100/74

                                            = $124.9

Hence, The total bill is equal to $124.9

Learn more about percentages here:

#SPJ2

function!

Step-by-step explanation:

this was a function that the answer (y) is equal to 3

and the X is equal to (-2)

Answer:

This is about a function evaluated at a particular point.  You don't get a formula for the function, but there is enough information to say that the ordered pair (-2, 3) is part of the function.

The function's name is f.

The -2 in parentheses is a value for the independent variable ("input"), often designated by the variable  x.

The 3 is the corresponding value of the dependent variable ("output"), often designated by  the variable y.

The expression can be read as:

"f of negative two is equal to 3"

"the value of f at -2 is 3"

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

Additional comment

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

Answer:

  5y +6 +7y = 2 (6y + 3 )

Step-by-step explanation:

We can name the blanks 'a' and 'b'. Then we have ...

  5y +6 +7y = a(6y +b)

This will have infinitely many solutions when both sides simplify to the same expression.

  12y +6 = 6ay +ab

To have these expressions be the same, we must have ...

  12 = 6a . . . . same coefficient of y

  6 = ab . . . .  same constant

The first of these equations tells us ...

  a = 12/6 = 2

Then the second equation tells us ...

  b = 6/a = 6/2 = 3

The equation with the blanks filled in is ...

  5y +6 +7y = 2 (6y + 3 )

Answer:

[tex]slope = \frac{20 - 16}{5 - 3} [/tex]

[tex] = \frac{4}{2} [/tex]

[tex] = 2 \: is \: the \: answer[/tex]

The slope of the equation is 2.

The slope of an equation shows a gradient line that measures the steepness of the line.

It can be expressed by using the formula:

[tex]\mathbf{slope = \dfrac{\Delta y}{\Delta x}}[/tex]

[tex]\mathbf{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

From the parameters given;

[tex]\mathbf{slope = \dfrac{20-16}{5-3}}[/tex]

[tex]\mathbf{slope = \dfrac{4}{2}}[/tex]

slope = 2

Learn more about the slope of the equation here:

https://brainly.com/question/3493733

Answer:

8/15 is already a proper fraction, therefore it cannot be converted to a mixed number. Hope this helps!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I got it right bro man my guy I got you

Answer:

260

Step-by-step explanation:

A=bh

A=13 x 20

A=260

Answer:

Let’s take a point each on the x, y, and z-axis as follows:

A (1, 0, 0) on x-axis

B (0, 1, 0) on y-axis and

C (0, 0, 1) on z-axis

unit vector

So, we have

|OA→| = 1 , |OB→| = 1, and |OC→| = 1

These vectors OA→, OB→, and OC→, each having magnitude 1 are Unit Vectors along the axes OX, OY, and OZ respectively. They are denoted by i⃗ , j⃗ , and k⃗  as shown in Fig. 1 above.

Step-by-step explanation:

Answer:

16

Have a good day <3

Answer:

2nd one

Step-by-step explanation:

i think(10+2)^2_4*11=100 in my opinion

The  probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Hence the  probability that 2 men are selected is 49/144

​Learn more on probabaility here:https://brainly.com/question/24756209

It's a function because we don't have any repeated x coordinates. Any given x input value leads to exactly one y output value.

The domain is {-3,-2,-1,0,1} which is the set of all x inputs.

The range is {-6, -1, 0, 3, 15} which is the set of y outputs.

Answer:

she has to minus just as she did before.

Step-by-step explanation:

230-39=191

233-42=191

the reason as to why they have the same answer is because it was first 230 but it later it was 233.so just minus as before.hope it will help goodbye

Answer:

See below

Step-by-step explanation:

She knows the answer is the same because both numbers are 3 higher than the other. She doesn't need to do anything.