Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile driven. Jim had to pay $236.11 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer 1

Answer:

287 miles

Step-by-step explanation:

The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.

We can represent the amount he will pay for rent with the equation below:

C = 17.99 + 0.76m

where m = number of miles driven

Jim paid $236.11, therefore:

236.11 = 17.99 + 0.76m

0.76m = 236.11 - 17.99

0.76m =218.12

m = 218.12 / 0.76 = 287 miles

Jim drove 287 miles.


Related Questions

need this ASAP. pls answer this question​

Answers

Answer:

this is ur answer so memories

Mr. Wayne uses his cell phone for work. He is reimbursed $45.95 each month. How much will Mr. Wayne himself pay for his family's cell phone service over the 3-year period? Explain your thinking.​

Answers

Answer:

$1654.20

Step-by-step explanation:

There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:

$45.95×36=

$1654.20 for three years.

plzz help on Question B nd C plzz​

Answers

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.

Answers

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Abel’s age in 2019 will be equal to the sum of the digits of his year of birth. If Abel is an adult, how old is Abel now?

Answers

Answer:

23

Step-by-step explanation:

If Abel was born in 1994, in 2019 he would be 23.

1+9+9+4=23

Help Find the lateral area of this pyramid whose base is an equilateral triangle. Its slant height is 14 ft and the length of each side of the triangular base is 6 ft. [? ] ft

Answers

Answer:

168 ft²

Step-by-step explanation:

The equation for the lateral area of a square pyramid is LA = (Pl/2)

Plug in the values LA = (24(14)) / 2

LA = 336/2

LA = 168 ft²

The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

What is the lateral area of a triangular pyramid?

The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).

Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.

The equation for the lateral area of a square pyramid is 3/2 (6×14)

= 3×3×14

= 126 square feet

Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

Learn more about the lateral surface area pyramid here:

https://brainly.com/question/16493393.

#SPJ5

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square? 16 (5 minus 4 y): Each side measures 5 minus 4 y units. 16 y (5 minus 4): Each side measures 5 minus 4 units. 4 (20 minus 16 y): Each side measures 20 minus 16 y units. 4 y (20 minus 16): Each side measures 20 minus 16 units.

Answers

Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.

Step-by-step explanation:

Hi, to answer this question we have to know the formula of the perimeter of a square:

Perimeter = side length x 4

Since:

p = 80-64y = s x 4

Solving for s (side length)

80-64y /4 = s

s = 20- 16 y

So, the correct option is:

4 (20 minus 16 y): Each side measures 20 minus 16 y units.  

Feel free to ask for more if needed or if you did not understand something.

Answer:

i believe its C

Step-by-step explanation:

When graphed, which function has a horizontal asymptote at 4?

Answers

Hope you Understand :)

Answer:

f (x) = 2(3x) + 4

Step-by-step explanation:

Find the volume of the prism

Answers

Answer:

152.4

Step-by-step explanation:

Speedy texting 3a: Lydia wants to text at least 8 characters per second, like James, then the equation would be 10r+4=8 could be used to model this situation. Solve this equation for R. 3b: Explain what the variable r represents in the equation given in question 3a.

Answers

Answer:

Speedy Texting

3a. In the equation, 10r + 4 = 8

r = 0.4 or 40%

3b. The variable r represents an independent variable in the equation.  An independent variable is a variable that is not dependent on another variable, instead other variables depend on it.  Whatever its value is changes the value of other variables in the equation.

Step-by-step explanation:

a) Solving the equation:

10r + 4 = 8

10r = 8 - 4

10r = 4

r = 4/10 = 0.4 or 40%

3x square + 4 x minus 15 is equals to zero ​

Answers

Answer:

x = 5/3 or x = -3

Step-by-step explanation:

3x² + 4x - 15 = 0

Factor left side.

(3x - 5)(x + 3) = 0

Set factors equal to 0.

3x - 5 = 0

3x = 5

x = 5/3

x + 3 = 0

x = -3

Answer:

x = -3             OR         x = 5/3

Step-by-step explanation:

=> [tex]3x^2+4x-15 = 0[/tex]

Using mid term break formula

=> [tex]3x^2+9x-5x-15 = 0[/tex]

=> 3x(x+3)-5(x+3) = 0

Taking x-3 common

=> (x+3)(3x-5) = 0

Either

x+3 = 0         OR       3x-5 = 0

x = -3             OR         x = 5/3

Find the value of x in each case:

Answers

Answer:

angle FGE = 36

angle GEL = 72

and angle GFH = 144

Step-by-step explanation:

well you know that angle GEF = 180 -2x

and that angle GFE = 180 -4x

so all the angles in triangle GEF must add to 180

so you have 180 = 180 -2x + 180 -4x + x

180 = 360 -5x

5x = 180

x = 36

so angle FGE = 36

angle GEL = 72

and angle GFH = 144

There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?

Answers

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

https://brainly.com/question/251701

Which of the following is a parent function?

Answers

Answer:

B

Step-by-step explanation:

A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.

   Option (B) will be the correct option.

Definition of a parent function:A parent function is simplest function which represents the entire family of that kind of functions.

We will check each option given for the definition of a parent function.

Option (A)

[tex]f(x)=-2^{x+1}[/tex]

Parent function will be,

[tex]f(x)=2^x[/tex]

Option (B),

[tex]f(x)=4^x[/tex]

It's a simplest form of an exponential function.

Therefore, it's a parent function.

Option (C),

[tex]f(x)=e^{3x}-2[/tex]

Parent function → [tex]f(x)=e^{3x}[/tex]

Option (D),

[tex]f(x)=4x^2[/tex]

Parent function → [tex]f(x)=x^2[/tex]

Learn more about the parent function and the transformation here,

https://brainly.com/question/11474649?referrer=searchResults

3. Two-thirds of a number plus 4 is 76. What is the number?

Answers

Answer:

108

Step-by-step explanation:

2/3x+4=76

2/3x=72

x=72*3/2

x=108

Answer:

Do the opposite of what they say

76 - 4 = 72

72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108

108 is the number

now to double check

108 x 2/3 = 216 / 3 = 72

72 + 4 = 76

108 is the number

Hope this helps

Step-by-step explanation:

A triangle has vertices at (4.-2), (2.2), and (4.6). What are the vertices of the image of the triangle after applying the
translation (x, y)=(x - 1, y + 2)?​

Answers

Answer:

see explanation

Step-by-step explanation:

The translation rule (x, y ) → (x - 1, y + 2 )

Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus

(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )

(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )

(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )

Two similar triangles are shown below:
a
6
8
2
3
b
4
Which two sets of angles are corresponding angles?
O O O O

Answers

Answer:

<a and <d; <b and <c.

Step-by-step explanation:

When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.

The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:

<a and <d; <b and <c.

Both set of angles are congruent to each other. In other words, they are equal.

At the city museum, child admission is $6.20 and adult admission is $9.50. On Friday, tickets were sold for a total sales of $1082.00. How many child tickets were sold that day?

Answers

Answer:

98child tickets were sold that day

Step by step Explanation:

Let the number of children= A of the number of adult

Then

6.20C + 9.50A = 1082.0

From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say

A= 4C

Then substitute into the above equation

6.20C + 9.50A = 1082.0

6.20C + 9.50(4C) = 1082.0

6.20C + 38C= 1082.0

44.2C =1082.0

C= 24.48

But we know that

A= 4C

A=4* 24.48

A= 97.9

Therefore ,98child tickets were sold that day

Las+salchichas+vienen+en+paquetes+de+6+y+los+panes+para+panchos+se+envasan+en+paquetes+de+8+unidades+¿Es+cierto+que+si+se+preparan+96+panchos+se+usa+una+cantidad+completa+de+paquetes+de+salchichas+y+de+panes?

Answers

Answer:

Es cierto se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho.

Step-by-step explanation:

Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:

96/6 = 16

96/8 = 12

Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.

The following quadrilateral is a parallelogram. An illustration of parallelogram MLKJ. Angle L measures 6x+18 degrees and angle J measures 8x-2 degrees. The measure of angle L is ___ degrees.

Answers

Answer:

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes. Which comparison of the detergents is accurate? Detergent A uses exactly 1 fluid ounce per load more than detergent B. Detergent A uses exactly 1 fluid ounce per load less than detergent B. Detergent A uses less than 1 fluid ounce per load more than detergent B. Detergent A uses less than 1 fluid ounce per load less than detergent B.

Answers

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ

Answers

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

1. Analyze the following pattern: 1, 2, 5, 10, 17,

Answers

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.

Answers

Answer:

Option (A)

Step-by-step explanation:

There are two inequalities drawn on a graph.

x + 2y ≤ 4 ------(1)

3x - y ≤ 2 -------(2)

Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

Solution area of these inequalities will be the common area shaded in green.

Graph given in Option (A) will be the answer.

Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?

Answers

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2

Answers

Answer:399

Step-by-step explanation:

((a+b)/2) * h

((13+25)/2) * 21

399

<!> Brainliest is appreciated! <!>

Answer: 399 cm^2

The formula is: (Top + Bottom)(height)/2

Therefore:
(13 + 25)(21)/2
= (38)(21)/2
= 798/2
= 399

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.

Answers

Answer :

1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
2.95x+39.95
O 39.95x+2.95
O 2.95x-39.95(12)
2.95x+39.95(12)

first answer gets brainliest if you hurry make the answer simple and short no explanation required​

Answers

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Write the following using algebraic notation, using the letter x for any
unknown numbers
I think of a number, add one, then double the result.​

Answers

Answer:

x+1=x *x

Step-by-step explanation:

Answer:

x+1= x*x

Step-by-step explanation:

hope this helps

I COULD REALLY USE THE HELP Complete the following problems. Show all your work. Round all side lengths to the nearest tenth and
all degrees to the nearest degree. When applicable, leave your answers in radical form.
1. Name the following sides of the triangle.

Answers

Answer:

  see attachment

Step-by-step explanation:

When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.

5. The Pythagorean theorem applies for finding the unknown side:

  DF = √(FE^2 -DE^2) = 3.0

The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:

  Sin = Opposite/Hypotenuse

  opposite angle = arcsin(Opposite/Hypotenuse)

In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:

 ∠F = 59°

  ∠E = 31°

__

6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).

HA problems (6c, 6e, 6f)

We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.

  Opposite = Hypotenuse×Sin

  x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c

Then the Adjacent leg is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse×Cos

  y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c

As in problem 5, the missing angle is computed as the complement of the given angle.

  missing angle = 90° -60° = 30° . . . . . . for problem 6c

__

LA problems (6a, 6b, 6d)

The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.

  Hypotenuse = Opposite/Sin

  u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a

As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.

  v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a

And the missing angle is computed the same as for HA problems.

  missing angle = 90° -30° = 60° . . . . for problem 6a

_____

The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.

_____

Comment on radians

When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.

Other Questions
The function h(x) is a translation of the exponential function g(x) = 9(16)x. What's h(x) if the translation is a vertical shrink by a factor of 13 and horizontal shift to the left 4 units? Which of the following is NOT a solution to the system of inequalities?a. (0, 4)b. (2, 1)c. (1, 5)d. (1, 2) What did the change in immigration policies between the 1920s and the 1960s reveal about the United States? Lisa surveyed 60 students at her school and found that 0.85 of the students she surveyed said their favorite class is math. Another 15% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science? 25. Why would a bank charge you compound interest rather than simple interest?A Because they can make more moneyB Because it is easier to calculateC Because it is easier to pay offD Because it requires a better credit score Using factor theorem, factorise x-x-7x+x+6 12. In a rear-wheel drive (RWD) system, the rear axlethe vehicle.A. pushesBrunsC. pullsD. leadsMark for review (Will be highlighted on the review page) 1. Il a mal _____ ventre. la le l' au aux 2. Elle a mal ____ oeil. la le l' au aux 3. Vous avez mal ____ dents. (Pay attention to the gender of the body part. If plural, + les- aux.) la le l' au aux 4. Quand il court pendant 4 heures, aprs, il ______. a mal la tte. a mal aux jambes. ai mal aux pieds. ai mal la gorge. 5. Ils n'_____ pas de passe-temps prfr. ont as avons Which correctly lists three characteristics of minerals?solid, crystal structure, definite chemical compositionorganic, crystal structure, definite chemical compositionhuman-made, solid, organiccrystal structure, definite chemical composition, human-made Juniper Company uses a perpetual inventory system and the gross method of accounting for purchases. The company purchases $9,750 of merchandise on August 7 with terms 1/10, n/30. On August 11, it returned $1,500 worth of merchandise. On August 16, it paid the full amount due. The correct journal entry to record the payment on August 16 is: Which set of symptoms describes the short-term effects of marijuana?anxiety, irritability, and sleep disturbancesfast heart rate with extreme alertness and high energya serious disconnection from reality, also known as a tripaltered senses with difficulty in thinking and impaired memory How did westward expansion divide Democrats and Whigs? A) Democrats favored expansion in order to make an alliance with Mexico; Whigs opposed expansion and a Mexican alliance because they believed they were too different culturally. B) Whigs favored expansion in order to reach California and trade in the Pacific; Democrats opposed expansion because they only wanted to sell cotton on the Atlantic. C) Democrats favored expansion in order to increase their power in Congress and expand slavery; Whigs opposed expansion because they feared losing power in Congress. D) Whigs favored expansion because they wanted to build a railroad from the East to the West; Democrats opposed expansion because they believed sea trade was most beneficial. The "land of the twilight night" means Chileans leave their lights on all night. True or False Which of these are characteristics of successful entrepreneurs?(select four answers)Confidence,discipline, optimism,& passion What is the main difference between an antagonist and a foil? Crane Company reports the following for the month of June.DateExplanationUnitsUnit CostTotal CostJune 1Inventory150$4$60012Purchase45052,25023Purchase40062,40030Inventory80Assume a sale of 500 units occurred on June 15 for a selling price of $7 and a sale of 420 units on June 27 for $8.Calculate cost of goods available for sale.Calculate Moving-Average unit cost for June 1, 12, 15, 23 & 27. (Round answers to 3 decimal places, e.g. 2.525.) The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.45 ounces and a standard deviation of 0.30 ounce. Each can holds a maximum of 12.75 ounces of soda. Every can that has more than 12.75 ounces of soda poured into it causes a spill and the can must go through a special cleaning process before it can be sold. What is the probability that a randomly selected can will need to go through this process? Solve the system of equations. x+y=2 and y=-1/4x+3 the procces of filtration occures at the On what concept did the two first commandments focus