Joie buys lunch at a local café for $8.60. If she leaves a 15% tip, how much does she spend at the café?

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

Answer:

19 = x

Step-by-step explanation:

1=x-18

Add 18 to each side

1+18=x-18+18

19 = x

Answer:

Step-by-step explanation:

∠1 + ∠BFE = 180   {linear pair}

x + 16 + 3x + 20 = 180

x + 3x + 16 + 20 = 180   {Combine like terms}

4x + 36 = 180

Subtract 36 from both sides

4x = 180 - 36

4x = 144

Divide both sides by 4

x = 144/4

x = 36

Answer:

DE = 7.3 cm

Step-by-step explanation:

All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Answer:

P of rectangle = 2(L + W)

21 units = 2(n units + W)

21 units = 2nunits + 2W

21 = 2n + 2W

2W = 21 - 2n

W = 21 - 2n units.

2

on simplifying

10.5 - n units

The width of the rectangle is units (10.5 - n) units.

Answer:

A

Step-by-step explanation:

Answer:

The answer is B or It must be a positive number since it represents a number of hours.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4 classes

Step-by-step explanation:

1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.

Cost = 3x + 6 for members

Cost = 4x for nonmembers

2. Set the equations to equal each other and solve.

3x + 6 = 4x

-3x         -3x

6 = x

3. Check your answer

4*6 = 24

(3*6) + 6 = 24

For 4 aerobics classes, the cost for members and nonmembers is the same.

get a journal and pencil and when you go to sleep, don't put on any alarms. then write down in the morning what you dreamt about. every detail you can thing of. if you have the dream again, write down more details. this will help you begin to lucid dream.

Answer:

2nd option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

- 3x - 2y = 30 ( add 3x to both sides )

- 2y = 3x + 30 ( divide terms by - 2 )

y = - [tex]\frac{3}{2}[/tex] x - 15 ← in slope- intercept form

Answer:

1, 11x + 3y + 15z

2, 3x + 12y + -5z

Step-by-step explanation:

all you need to do is combined the like terms and make sure the signs (positive and negative signs) are right

Step-by-step explanation:

option B is correct answer ( Acute angle triangle)

hope this helps you.

Answer:

Acute triangle

Step-by-step explanation:

Acute triangle have less than 90 degrees

We can solve for t by making it the subject of the equation.

since   I = Prt             [divide both sides by Pr]

Answer:

x=-23

Step-by-step explanation:

-0.48x+0.28=4.6

-0.2x=4.6

x=-23

Answer:

it’s -0.2x =4.6

Step-by-step explanation:

X = -23 is the answer for the equation but

your asking for what the number is before the x right

it’s -0.2x =4.6

than multiple both sides by 10

divide both sides by -2

simplify

X=-23

Answer:

b(x) = 10x - 30

Step-by-step explanation:

You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).

This gives the equation b(x) = 10x - 30

or y= 10x - 30

The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

f(x) = 10x

We have the function -

f(x) = 10x

Now -

b(x) = f(x) - 30

b(x) = 10x - 30

This is the equation of a straight line.

Refer to the graph attached.

The slope of the line is [m] = 10

The [y] intercept is at [c] = - 30

Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

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Answer:

[tex]r\le \:12.5[/tex]

Step-by-step explanation:

Answer:

r<=12.5

Step-by-step explanation:

87.5-150 = -62.5

-62.5/-5 = 12.5

you multiplied by a negative so the symbol switches

<=

Answer:

1. 4 1/2 can be converted into 4.30 / 20 = 0.125f per minute

2. it would descend 4.64 or 5f rounded in 8 minutes (8/0.125)

Answer:

4.45 feet p/m

35.56 feet per 8 minutes

Step-by-step explanation:

20 / (60x4.5) = 60 seconds  = ( 1 x 4.5 minutes)

20/270=0.0740740741 1 = multiplier of feet/seconds

60 x 0.0740740741 1 =4.44444445 feet in one minute = 4.45feet

60 x 8 = 480 seconds   (1 x 8 minutes)

480 x 0.0740740741 1 =35.5555556 feet

= 35.56feet in 8 minutes

Answer:

A Translation 4 units leftwards followed by a reflection across the x-axis.

Step-by-step explanation:

he transformations are:

Translation 4 units leftwards.

Reflection across the x-axis.

You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.

Answer:

70

Step-by-step explanat

cộng lại chia đôi

Answer:

4(3r-1)

Step-by-step explanation:

GCF is the highest number that divides exactly into two or more numbers. In this case, it would be 4 because it's the largest number that both 12 and 4 divide into.

Answer:

a

Step-by-step explanation:

True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.

The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.

The confidence level represents the probability that the interval contains the true population parameter.

In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.

Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.

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Answer:

C =9

Step-by-step explanation:

10(c−1)=80

Step 1: Simplify both sides of the equation.

10(c−1)=80

(10)(c)+(10)(−1)=80(Distribute)

10c+−10=80

10c−10=80

Step 2: Add 10 to both sides.

10c−10+10=80+10

10c=90

Step 3: Divide both sides by 10.

10c

10

=

90

10

c=9

1.6 cups of vinegar used for 4 cups of soap.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For  5 cups of soap = 2 cups of vinegar

For 1 cups of soap = 2/5 cups of vinegar used.

Now we have to find how much vinegar required for 4 cups of soap.

So, for 4 cups of soap

=2/5 * 4

=8/5

=1.6 cups of vinegar used.

Hence, 1.6 cups of vinegar used.

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Answer:

not equivalent expressions

Step-by-step explanation:

Expand and simplify both expressions

2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis

= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms

= - 7.8x + 15

----------------------------------------

3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis

= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms

=  - 2.3

Then the 2 expressions are not equivalent

Answer:

2x-3(1.3x-2.5)=5.9x+7.5

3-2(-2.6x+2.1)=5.2x-1.1

Step-by-step explanation:

Solving the first linear expression

Thus, we can say that it's an equivalent expression.

Now Solving the second linear expression

Thus, we can say that it's not an equivalent expression.

Answer:

y = -2

Step-by-step explanation:

Answer:

8km

Step-by-step explanation:

it is 8km because it is not that much bigger than 6km

Answer:

C) 8 km

Step-by-step explanation:

x is another leg next to 6.

10 is the hypotenuse.

a^2 + b^2 = c^2

a & b are legs and c is the hypotenuse.

x^2 + 6^2 = 10^2

x^2 + 36 = 100

x^2 = 100 - 36

x^2 = 64

√x^2 = √64

x = 8

P.S It may look just slightly different, but your teacher or the program did not make it up to scale.

Hope This Helps! •v•