Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
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Answer:

Step-by-step explanation:

The number of meals that could

belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are

$11, $11, $12,$12, $13, $13, $13,$13

The frequency is 8

Therefore, 8 meals could

belong in the interval $10.99 - $13.99

Answer:

91

Step-by-step explanation:

(2 + 5)(8 +5)

2 + 5 = 7

8 + 5 = 13

7 * 13 = 91

Answer:

1/4

Step-by-step explanation:

there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4

Answer:

-10

Step-by-step explanation:

6=-x-4           plug in 6 for f(x)

10=-x             add 4 to both sides in order to cancel out the -4

-10=x             multiple each side by -1 to make the x positive

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

Answer: B. 3

Step-by-step explanation:

4^2 + b^2 =5^2

16 + b^2= 25

-16            -16

b^2 = 9

[tex]\sqrt{9} =3[/tex]  

Answer:

adult tickets are $8 and student tickets are $14

Step-by-step explanation:

to find the price of adult and student tickets, first look at all the given values:

a = adult tickets

s = student tickets

so: 4a + 5s = 102

and : 7a + 5s = 126

since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:

126-102 = 24

there are 3 more adult tickets in the equation with a total of 126, therefore:

24 / 3 = 8

that means each adult ticket is work 8 dollars.

now substitute this value:

4(8) + 5s = 102

32 + 5s = 102

you can solve this by concluding that 102- 32 is 70

that means 5(s) has to equal 70

so 70 / 5 = s

70/5 = 14

so the value of s = 14 and the value of a = 8

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer

Make a tally table and line plot to show the data.

Time (in hours)              Tally      Total

[tex]\frac{1}{4}[/tex]                                         //             2

[tex]\frac{1}{2}[/tex]                                         /               1

[tex]\frac{3}{4}[/tex]                                       ///              3

1                                      ////              4

Hope it will find you well.

Answer:

C

Step-by-step explanation:

Line AC is equal to line DF.

Answer: The answer is C

Step-by-step explanation:

The way it is written is very important

it goes

AB is to DE

BC is to EF

AC is to DF

[tex]\frac{137+150+144+149+x}{5} =141[/tex]

[tex]x=125[/tex]

Therefore, the man is shorter than 141 centimeters.

Answer:

f(3) = 7

Step-by-step explanation:

Using the recursive formula and f(1) = - 3 , then

f(2) = f(1) + 5 = - 3 + 5 = 2

f(3) = f(2) + 5 = 2 + 5 = 7

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

Answer:

Step-by-step explanation:

The way you can solve this is by splitting the cube into two parts.

Split the top cube apart from the bottom cube and then find the volume of each and add them together.

The first cube on top would be 80x90x75= 540000 centimeters

The second cube would be 270x75x80=1620000 centimeters

540000+1620000=2160000 centimeters

Hope this help!

Comment if you would like a visual drawing of the math!!

(Also the answer can be written as 21600 meters)

Answer:

C, A and B

Step-by-step explanation:

Tank A holds 40 Liters and 5 fish.

Tank B holds 100 Liters and 12 fish.

Tank C holds 180 Liters and 23 fish.

Therefore, the volume per fish from least to greatest is:

7.83, 8 and 8.33

These correspond to the tanks: C, A and B respectively.

Answer:

CAB

Step-by-step explanation:

Got it right in Khan!

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Answer:

acceleration = 9.8 m/s^2

Step-by-step explanation:

The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]

Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)

the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]

In fact you can use any two pairs of the table, and will get the same result.

So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]

The acceleration due to gravity is 9.8 m/s^2.

Answer:

B.

Step-by-step explanation:

It's just y = 2x because if you look the y is two times the x.

Answer:

n=2.5

Step-by-step explanation:

Answer:

The answer is 1.

Step-by-step explanation:

Answer:

-9 ≤n ≤1

Step-by-step explanation:

-3 ≤ n+6 ≤ 7

Subtract 6 from all sides

-3  -6≤ n+6-6 ≤ 7-6

-9 ≤n ≤1

Answer:

Step-by-step explanation:

Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.

Velocity = dH/dt = 0

dH/dt = -32t+32 = 0

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

Substituting t = 1sec into the modeled equation of the height

H = -16t²+32t+48

H = -16(1)²+32(1)+48

H = -16+80

H = 64 feet

The maximum height of the water balloon is 64 feet

b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.

64 = -16t²+32t+48

-16t²+32t = 16

16t²-32t+16 = 0

t²-2t+1 = 0

t²-t-t+1 = 0

t(t-1)-1(t-1) = 0

(t-1)² = 0

t-1 = 0

t = 1sec

It took the water balloon 1 sec to reach its maximum height.

Answer:

Using Transformations

Step-by-step explanation:

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

Answer:

5

Step-by-step explanation:

When you divide 25/5 the answer is 5 dollars per store

Answer:

5

Step-by-step explanation:

25 divided by 5 is 5

he spends 5 in each store

Answer:

1110

Step-by-step explanation:

Hey there!

222 multiplied by 5 is 1110.

You can also use a calculator to find that out haha!

Have a wonderful day!

Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2

=  x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

ii) (a - b)^2 = a^2 + b^2 - 2ab

=  (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

Answer:

[tex]y = \frac{4}{3} x[/tex]

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

[tex]y = \frac{4}{3} x +b[/tex]

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

[tex]y=\frac{4}{3}x[/tex]

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

To learn more about the slope intercept form visit:

https://brainly.com/question/24683642.

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