A diner sells large drinks for 3$ and small drinks for 2$. Last month, they sold 420$ of the large size. How many large size drinks were sold last month?

Answer:

The results are presented below.

Question 1 - sin L = [tex]\frac{3}{5}[/tex]

Question 2 - tan N= [tex]\frac{4}{3}[/tex]

Question 3 - cos L = [tex]\frac{4}{5}[/tex]

Question 4 - sin N= [tex]\frac{4}{5}[/tex]

Question 5 - x=8.5

Question 6 - x=27.2

Step-by-step explanation:

For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.

This question asks the sin L.  You can find this value from the trigonometric ratio of sin from given right triangle:

        [tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]

This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:

        [tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]

The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.

       [tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]

There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.

      [tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]

This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:

      [tex]cos L=\frac{adjacent}{hypotenuse}[/tex]

The adjacent side (ML) you found in the question 2. ML=8, therefore:

      [tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]

This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:

      [tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]

You can find x from the trigonometric ratio of cos :

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]

From calculator, you have cos 32° = 0.8480. Then,

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]

You can find x from the trigonometric ratio of sin:

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]

From calculator, you have sin 54° = 0.8090. Then,

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]

Learn more about trigonometric ratio here:

brainly.com/question/11967894

Answer:

Step-by-step explanation:

Answer:

8 m is the answer.

Step-by-step explanation:

a = ?

b (Brennan and Hannah) = 6 m

c (Jayce and Hannah) = 10 m

According to the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8 m

∴ Jayce and Brennan are 8 m apart.

Answer:

Value of variable 'x' is 18.

Step-by-step explanation:

From the picture attached,

In right triangle XYZ,

m(∠YXZ) = (3x + 11)°

m(∠XYZ) = 90°

m(∠XZY) = 25°

By applying triangle sum theorem in the given triangle,

m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°

(3x + 11)° + (25)° + (90)° = 180°

3x + 126 = 180

3x = 54

x = 18

Therefore, value of variable 'x' is 18.

9514 1404 393

Answer:

  17 feet

Step-by-step explanation:

The sum of the three side lengths is the perimeter.

  s + s + 11 = 45

  2s = 34 . . . . . . subtract 11

  s = 17 . . . . . . . . divide by 2

Each of the other two sides is 17 feet.

Answer:

If Kate is trying to ask multiple people, Making a bar graph would be smart in order to know how much people liked what.

Step-by-step explanation:

Kate could ask all of the sixth grade students what their favorite class is.

Statistical data is defined as the data which are collected and interpreted in statistics.

These data are the information about something.

Given that,

Kate asked her friend what her favorite class at school is.

In order for her to collect statistical data, there must be more data related to the same question.

Then she can interpret the data with a conclusion.

So, she has to ask more people the same question that she asked with her friend.

So she could ask all of the sixth grade students what their favorite class is.

Hence the question can be changed as Kate could ask all of the sixth grade students what their favorite class is.

Learn more about Statistical Data here :

https://brainly.com/question/15376794

#SPJ2

Answer:

a

Step-by-step explanation:

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

Answer:

A = 25

Step-by-step explanation:

Base = |-2-(-7)| = |-2+7| = 5

equation of the line that includes the base

x = 6 (because it is parallel to y axis)

the height passes to the point (-4,-4) and must be perpendicular to the base

the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0

so the equation of the line is y= -4

the point (6,-4) is where the two lines intercept and it is the point where the height hit  the base

height = |-4-6| = 10

A = (base x height)/2 = (5x10)/2 = 25

Answer:

2 61/162

Step-by-step explanation:

Answer:

x

Step-by-step explanation:

Answer:

I believe the answer is either going to be B or C

Step-by-step explanation:

Answer:

obviously C: Subtract the product of 2 and 4 from the product of 5 and 3, then add 5

Step-by-step explanation:

plz mark as brainliest!

Answer:

1/4

Step-by-step explanation:

Answer:

omg what interesting i will see what i will come up with

Answer:

48 units²

Step-by-step explanation:

Area=1/2 box=hight

area=1/2×12×8

area=48

hope it helps

have a great day

Answer:

48

Step-by-step explanation:

convex

non-convex

regular

non-regular

Answer:

its A i guess

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

Answer:

C) 3x and 7x

Step-by-step explanation:

Both terms in C have the same variable in which you can combine the terms to make 1. The other ones don't.

Answer:

c. 3x and 7x

Step-by-step explanation:

We have three pairs of two terms and are asked to determine which option has "like terms."

Like terms are two numbers with variables that are the same.

With this information, we can determine which is and which isn't like terms.

a. 2x^2 and 4y^2 are incorrect because the variables within the number do not match, 2x^2 and 4y^2.

b. xy and yz are incorrect because the variables also do not match, xy and yz.

c. is correct because the variables within the two numbers are the same. 3x and 7x.

To simplify an expression means to write it in the simplest way possible. Ideally, there would be no parentheses and everything has been 'expanded'.

We're given:

[tex]5 (4x+3)-2[/tex]

Open up the parentheses by multiplying each term by 5:

[tex]=5*4x+5*3-2\\=20x+15-2\\=20x+13[/tex]

[tex]20x+13[/tex]

Answer:

Slope = -8/5

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs given in the graph: (-1, 4) and (4, -4).

m = -4 - 4 / 4 - - 1

m = -8 / 5

m = -8/5

m = rise/run, meaning verticl units/horizontal units

Check your work by counting it out on the graph:

From the first black dot at (-1, 4), count 8 units down and then 5 units to the right. After counting, I ended at the second ordered pair at (4, -4) which means my slope is correct.

Answer:

Step-by-step explanation:

Answer:

0.1638

Step-by-step explanation:

P(A and B) or simply the probability of both events happening is the product of their individual probabilities.

P(A and B)= (0.42×0.39)= 0.1638

Answer:

Step-by-step explanation:

2x - 4y  is expanded

Answer:

x=42

Step-by-step explanation:

Write the equation.

2(x+50)=16+4x

Spread the parentheses

2x+100=16+4x

Put variables on one side, numbers on the other.

2x-4x=16-100

Add/subtract/multiply/divide the variables with variables and numbers with numbers.

-2x=-84

Make x alone

-x=-42

Flip sides to make x positive

42=x