Find the missing side ?

Answer:

[tex]XY = 4.9[/tex]

Step-by-step explanation:

Given

[tex]XZ= 4[/tex]

[tex]\angle Y = 45[/tex]

[tex]\angle Z = 60[/tex]

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

[tex]\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}[/tex]

In this case:

[tex]\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}[/tex]

Cross Multiply

[tex]XY * \sin(45) = 4 * \sin(60)[/tex]

[tex]XY * 0.7071 = 4 * 0.8660[/tex]

Make XY the subject

[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]

[tex]XY = \frac{3.4640}{0.7071}[/tex]

[tex]XY = 4.89888276057[/tex]

[tex]XY = 4.9[/tex] -- approximated

Answer:

53

Step-by-step explanation:

trust me

Answer:

9.81

Step-by-step explanation:

You have to add them up: 4.3943 +

                                            5.4157

                                            ----------

                                            9.8100

Answer:

Neon is stable, hence has no charge.

Oxide (O2-) has a charge of -2

Cooper (Cu2+) has a charge of +2

Tin (Sn2+) has a charge of +2

hence overall charge = -2+2+2

Overall charge = +2

Answer:

D

Step-by-step explanation:

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

Answer:

$1.2

Step-by-step explanation:

Cost per pound = 6/5 = $1.2

Answer:

1.20 a pound

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6

Answer:

They need to sell 32 tickets

Step-by-step explanation:

256/8=32

Answer:

They need to sell 32 tickets to pay for their expenses.

Answer:

Step-by-step explanation:

Answer: The rate of change is 2

Step-by-step explanation:

Divide the Y by X for each of them and they all are 2

Answer:

2 9/12 and 2 11/12

Step-by-step explanation:

if that is what u are asking. simplist form is 2 3/4 and 2 11/12.

Hope that helps and good luck :)

16 cause 24 divided by 1 1/2= 16

Answer:

1 1/4 is 10 minutes less than 1 hour and 25 minutes

Step-by-step explanation:

1 1/4 is equivalent to 1 hour and 15 minutes.

We get this by taking the 60 minutes we know are in an hour and multiplying  it by the 1/4

[tex]\frac{60}{1} *\frac{1}{4} = \frac{60}{4} = 15[/tex]

The difference between 25 minutes and 15 minutes is 10 minutes.

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

[tex]-10x\leq 40[/tex]

divide by -10, which means you need to flip the inequality sign since youre dividing by a negative number

[tex]x\geq -4[/tex]

Answer:

The anwer is D

Step-by-step explanation:

up up up......

Answer:

7/15

Step-by-step explanation:

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right

Answer:

2/3 x 27 x 1/4

Step-by-step explanation:

A-P-E-X

Answer:

0.1105263157894737

Other:

Brainliest? Thanks!

Answer:

It is most likely B from the graph

Answer:

b is the correct answer of the question

Answer:

m1=30

m2=41

m3=96

Step-by-step explanation:

m1=180-66-84

m2=180-96-43

m3=180-84

Answer:

Dude First show the pie chart

Mrs. Yusuf spend the most money on Food.

Given is pie chart showing the information about the money Mrs. Yusuf spent on petrol, on clothes, on food and on other items,

We need to identify the portion which tell that she spend the most money on that item,

So, we know that the more portion one item has on the pie chart the more she had spend on that item,

Here in the pie chart we can see the food portion is largest.

So, we can say she spend her most money on food items.

Hence the correct answer is Food.

Learn more about Pie chart click;

https://brainly.com/question/1109099

#SPJ2

Answer:

2

Step-by-step explanation:

4y = 2x + 8

First get the equation in slope intercept form  y= mx+b where m is the slope and b is the y intercept

Divide each side by 4

4y/4 = 2x/4 +8/4

y = 1/2x +2

The slope is 1/2 and the y intercept is 2

Answer:

2

Step-by-step explanation:

Manipulate your equation into slope-intercept form: y = mx + b, where b is the y-intercept.

To do this, divide 4 from both sides:

[tex]y=\frac{1}{2} x+2[/tex]

b = 2

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

75% is 3/4 of the whole.

Knowing this, you can divide 21 by the numerator (3)

21 ÷ 3 = 7

Since the denominator is 4,

You need to multiply 7 by 4.

7 × 4 = 28

The answer is 28

Answer:

Quincy is 5.5 mi/h faster than Marissa

Step-by-step explanation:

Speed

It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.

The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.

4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:

[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]

Quincy rides at 15 miles/hour.

Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:

13,376 / 5,280 = 2.533 miles

16 minutes = 16/60 = 0.2667 hours

Marissa's speed is:

[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]

The difference is 15 - 9.5 = 5.5 mi/h

Quincy is 5.5 mi/h faster than Marissa