1.2 Exit Ticket
POSSIBLE POINTS: 0.5
Below are the total number of students for each teacher in the Arts department. Round to the nearest tens place in order to estimate the total amount of
students enrolled in an art course,
132, 145, 97, 112, 128, 82
1
2
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Answer:

since those are angles on a straight line.

we work out as follows

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]

Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

[tex] \sqrt{9 ^{2} + 16 ^{2} } [/tex]

= 18.4 cm

Answer:

outliers

explanation:

Answer:

the right answer is

no d (outliers)

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

Answer:

The answer to the nearest hundredth is 0.07 liters per minute

Step-by-step explanation:

In this question, we are told to express the given metric in liters per minute.

The key to answering this question, is to

have the given measurements in the metric in which we want to have the answer.

Hence, we do this by converting milliliters to liters and seconds to minute.

Let’s start with milliliters;

Mathematically;

1000 milliliters = 1 liters

10 milliliters = x liters

x * 1000 = 10 * 1

x = 10/1000

x = 1/100

x = 0.01 liters

For the seconds;

We need to convert the seconds to minutes;

Mathematically;

60 seconds = 1 minute

8.5 seconds = y minutes

60 * y = 8.5 * 1

y = 8.5/60

y = 0.14167 minutes

Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;

Hence, we have ;

0.01/0.14167 = 0.070588235294

Which to the nearest hundredth is 0.07

Answer:

15

Step-by-step explanation:

120+135= 255

255 is 15 more than 240.

15 people enjoy both games.

let Length be [tex] l [/tex] be $b$ ,

given : $l=2b$

and area, $lb=0.5294$

put $l=2b$ in equation of area,

$2b^2=0.5294 \implies b^2=0.2647 \implies b=0.5144$

and $l=1.0288$

perimeter =$2(l+b)=3.0864$ km

The perimeter of the field will be equal to 3.0864 km.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The perimeter of the rectangle is the sum of all the sides of the rectangle.

It is given that a rectangular playing field is twice as long as it is broad. If its area is 0.5294 square km.

The perimeter of the field will be calculated as below:-

let Length be b

l=2b

l x b=0.5294

Put l=2b in the equation of area,

2b²=0.5294

b² =0.2647

b=0.5144 and l=1.0288

The perimeter will be calculated as:-

perimeter =2(l+b)=3.0864 km

Therefore, the perimeter of the field will be equal to 3.0864 km.

To know more about perimeter follow

https://brainly.com/question/19819849

#SPJ2

Answer:

Sine, Cosine and Tangent are  main functions used in Trigonometry .

They  are based on a Right-Angled Triangle.

It helps to give a name to each side of a right triangle:

"Opposite" ;  side opposite to the angle θ

"Adjacent"; side adjacent (next to) to the angle θ,

"Hypotenuse" ; the longest side

Step-by-step explanation:

Sine, Cosine and Tangent (are often shortened as sin, cos and tan)

They are used in calculation by;

[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]

To remember how to apply them , we use

SOHCAHTOA

soh

cah

toa

Answer: the first table.

Step-by-step explanation:

The terms in the domain (x) should have only one range (y)

Answer:

A) x: -3, 0, -2, 8

    y: -1, 0, -1, 1

Step-by-step explanation:

Function has only one output for each input.

OAmalOHopeO

Answer:

Step-by-step explanation:

[tex]G = \sqrt{ \frac{m - 5}{2} }[/tex]

To make m the subject square both sides of the equation

That's

[tex] \frac{m - 5}{2} = {G}^{2} [/tex]

Cross multiply

m - 5 = 2G²

Move 5 to the right side of the equation to make m stand alone

We have the final answer as

Hope this helps you

Answer:

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .

The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.

Step-by-step explanation:

Answer:

24 is a and d

25 is c

26 is b

27 is a and b

28 is b

Step-by-step explanation:

Step-by-step explanation:

look it is very easy.

use formula of simple interest

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

Answer:

Step-by-step explanation:

[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]

Answer and Step-by-step explanation:

For the first part

Tara is incorrect as she practices the softball in 4 days in a week and she do each practice of minimum one hour

So we can conclude that she practices minimum hours in a week  

For the second part

Also in 4 days, she does practice [tex]1 \frac{1}{3}[/tex] hours per day i.e [tex]5 \frac{1}{3}[/tex]

Now convert [tex]1 \frac{1}{3}[/tex] this into a fraction which comes [tex]\frac{4}{3}[/tex]

For four days, it is

= [tex]4 \times \frac{4}{3} \\\\ \frac{16}{3} \\\\ 5 \frac{1}{3}[/tex]

Step-by-step explanation:

Without multiplying, explain how you know Tara is incorrect.

How long will Tara have softball practice this week? Write your answer as a mixed number.  

Each practice is [tex]1\frac{1}{3}[/tex] hours

Each practice is more than 1 hour. so 4 days of practice is more than 4 hours.

So Tara is incorrect

Practice for 4 days

[tex]1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}+1\frac{1}{3}=4\frac{4}{3}=5\frac{1}{3}[/tex]

More than 5 hours .

Tara will have [tex]5\frac{1}{3}[/tex] softball practice this week

Answer:

Tara will have [tex]5\frac{1}{3}[/tex]  hours softball practice this week

Answer:

0.026

Step-by-step explanation:

6 out of 10 steps between 0.02 and 0.03.

Answer:

a^2 × a^4

= a^2+4

= a^6

Remember:

a^n × a^m= a^n+m

Hope it helps

if u have any question let me know in comments ^_^

Answer:

[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]

Step-by-step explanation:

Hope it helps!

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer: [tex]y-1=\dfrac32(x+3)[/tex]

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = [tex]\dfrac{d-b}{c-a}[/tex]

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =[tex]\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}[/tex]

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

[tex](y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)[/tex]

Required equation: [tex]y-1=\dfrac32(x+3)[/tex]

Answer:

1 1/8

Step-by-step explanation:

1/4 of 4 1/2 is Pepsi.

1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

Answer:

domain = E

range = (-&,&)

Step-by-step explanation: solved by graphing calculator

This is a more complicated way to write [tex]y < 2[/tex]

The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.

In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".

Answer:

Step-by-step explanation:

If he were to find the mean then he would need to add all the numbers up and divide by the number of numbers. The answer of this would 69.1

If you find the median you would need to put the numbers in order,

2, 38, 75, 80, 88, 90, 92, 92, 95, then find the middle which would be 88.

So the better option would be finding the median. I think that this would be the best way to get the the most favorable measure of center.

I hope this helps.

Answer:

$402

Step-by-step explanation:

Hello!

If you made 3.80 an hour and worked 40 we can multiply these to find the total amount you earned.

3.80 * 40 = 152

You also made 250 in tips so we add that to the total

152+250 = 402

The answer is $402

Hope this helps!

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 600; rounded to 2 sig fig, the number is 690