Find the perimeter of ABC

Answer:

[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]

Step-by-step explanation:

[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }[/tex]

[tex]=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}[/tex]

[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}[/tex]

[tex]\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }[/tex]

[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }[/tex]

[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }[/tex]

[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }[/tex]

[tex]=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }[/tex]

[tex]=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }[/tex]

[tex]=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]

Remark:

You can simplify moreover if you want to.

Answer:  Alternate interior angles

Step-by-step explanation:

The mathematical ideas that are involved in the cannonball are quadratic functions and parabolas

When the cannonball is launched, it would follow a parabolic path.

Parabolas are represented by quadratic functions.

Hence, the mathematical ideas/concepts are involved are quadratic functions and parabolas

The quantities that can be measured are:

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Answer:

340 cm^2

Step-by-step explanation:

Given:

Figure

To Find:

Area of the shaded region

Solution:

Area of shaded region:

[tex] \rm= Area \: of \: trapezium \: ABCD - Area \: of \: Trapezium \: EHGF[/tex]

We know that,

[tex] \rm \: Trapezium = 1/2 × (a+b)×h \: \: \: sq. units [/tex]

So,

[tex] \rm = 1/2 × (a+b)×h \: \: \: - 1/2 × (a+b)×h [/tex]

Trapezium ABCD:

According to the formula,

Trapezium EHGF:

Substitute:

[tex] \tt= \cfrac{1}{2} (40 + 24) \times 25 - \cfrac{1}{2} (30 + 16) \times \: 20[/tex]

[tex]\tt= \cfrac{1}{2} (64) \times 25 - \cfrac{1}{2} (46) \times \: 20[/tex]

[tex]\tt = \cfrac{1}{2} \times 1600 - \cfrac{1}{2} \times 920[/tex]

[tex] \tt \: = 800 - 460[/tex]

[tex] \rm = 340 \: cm {}^{2} \: or \: sq. \: cm[/tex]

Thus, the area of the shaded region will be 340 cm^2 .

Answer:

it's a non-function

Answer:

s = 3

Step-by-step explanation:

Solving

Answer:

-140

Step-by-step explanation:

Part A: Kennedy's expression is incorrect because 0.07 is 7 percent, not 70.

Part B: The correct expression would be 0.7 * 20, which equals 14

Answer:

=0.291

Step-by-step explanation:

number of residents who have completed some college =5372

number of residents who has completed college and age group 20-29years=1563

1563/5372

=0.29095

Answer:

30%. Based on the given conditions, formulate: 12/40 Cross out the common factor: 3/10 Multiply a number.

Step-by-step explanation:

Answer:

a) m∠6 = 55 and m∠8= 55 - 20 --> m∠8= 35     x = 55

b) m∠7 = 40 and m∠9 = 140                                x = 40

c) m∠8 = 46 and m∠7 = 46                                  x = 18

d) m∠6 = 63 and m∠7 = 27                                  x = 9

(just like the note says at the top each one is a different problem hence the different answer or each angle even if its the same one)

Step-by-step explanation:

I've attached my work

Sorry it took so long

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

PLEASE HELP 80 PTS.

Step-by-step explanation:

a)The high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

b)The respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Modeling the depth of the Atlantic Ocean at a channel buoy off the coast of Maine is;

[tex]\rm y = 5-3 cos (\frac{\pi}{6} t)[/tex]

a) High tide's value of 'y' when the value of y is maximum. value of cosine is minimum.

The minimum value of cosθ  = 1.

The standard form to write the cos function is as;

θ=(2n+1)π

Whenever. high tides occur when it equals odd multiples of π. Similarly, at a Value of even multiples of even function, low tides are at their peak.

Hence,the high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

At high tide;

соsӨ = - 1 (min value)

y= 5-3(-1)

y = 5+3

y=8 ft

At low tide,соsӨ = + 1 (max value)

y =5-3(1)

y= 5-3

y= 2

Hence,the respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

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Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

Answer:

Your answer is 5/18

Step by step Explanation:

8/9 × 16/5

When we divide it becomes reverse so,

8/9 × 5/16 = 5/18.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)[/tex]

Answer:

change 290 grams to pounds= 0.639 pounds

change 87 grams to ounces= 3.069 ounces

change 1,038 mph to feet per second= 1522.4 feet per second

change 65 miles per hour to kilometers per hour

= 104.607 kilometers per hour

Hope this helps.

Answer:

-3

Step-by-step explanation:

So 21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3

Hope it helps :))

The statement that describes how accurate he can expect his prediction to be his prediction will probably be very different than the actual value.

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. When two variables have a negative correlation, there is a negative sign in front of the number.

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Answer:

His prediction will probably be very close to the actual value.

Step-by-step explanation:

Other answer is wrong. I got it right.

Answer: n > 2.5 or n < -2.5

Step-by-step explanation:

Let's solve your inequality step-by-step.

1. Solve Absolute Value.

|n| > 2.5

We know either n > 2.5 or n < -2.5

n > 2.5 (Possibility 1)

n < -2.5 (Possibility 2)

Your answer is n > 2.5 or n < -2.5

Answer: Mean is 12

Step-by-step explanation: Mean is adding it all up and then dividing, 12 + 13 + 11 + 11 + 13 is 60

Divide 60 by the amount of numbers, 5

60 divided by 5 is 12

                 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}}\rule{50}{1}[/tex]

            Five children are the following ages:-

   - What is their mean age?

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer \& how to solve:-}}}\rule{50}{1}[/tex]

In order to find the mean of a set of data, we need to add all the numbers in that set, as follows:-

[tex]\Large\text{12+13+11+11+13}[/tex]

    [tex]\bigstar[/tex] On simplification,

[tex]\Large\textit{60}[/tex]

However, that's not our final step; we also need to divide by how many numbers there are (in this case, we have 5, so we divide by 5, as follows:-

                       [tex]\Large\textsf{60:5}[/tex]

[tex]\bigstar[/tex] As a result, the mean of the children's ages is as follows:-

      [tex]\Large\textit{Mean=12}[/tex]

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

The total distance of the putts in yards, feets and inches be 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches

The conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

As,

1 yard = 3 foot,

1 feet = 12 inches.

Now the lengths are given 15ft 4 in and 9 ft 2 in.

So, the total distance of the putts be,

=15 ft 4 in + 9 ft 2 in

=  24 ft 6 inches

= 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches

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Answer:

b.  h = 2A/b.

Step-by-step explanation:

A = 1/2 bh

Multiply through by 2:

2A = bh

Divide both sides by b:

h = 2A/b.

Answer:

9:41

Step-by-step explanation:

Let's solve this in the most simplified version.

⇒ 4: 54

⇒ 13 Minutes Before

( 54 - 13)

= 4:41

Subtract 13 from 4

= -9

Eliminate the negative sign.

⇒ 9:00 .

Add the "41" to the time:

⇒ Final result: 9:41

Answer:

32 yd.

Step-by-step explanation:

63 / 7 is 9. 9+7+9+7 is 32.

Answer:

its b i think maybe i might be wrong

Step-by-step explanation:

have a nice day :)

Let's take this fun problem step-by-step:

Let's first analyze the triangle:  ΔBRE

  ∠B + ∠E + ∠R = 180

  45 + 35 + ∠R = 180

    ∠R = 100   ⇒ ∠BRE = 100 degrees

Now let's analyze ΔAQD

 ∠A + ∠Q + ∠D = 180

 30 + ∠Q + 50 = 180

    ∠Q = 100 degrees ⇒ ∠AQD = 180 degrees

Now let's consider another fact:

           ⇒ meaning that ∠AQD + ∠RQC = 180 degrees

              ⇒ ∠RQC = 180 degrees - ∠AQD = 180 - 100 = 80 degrees

            ⇒ meaning that ∠BRE + ∠BRC = 180 degrees

                ⇔ ∠BRC = 180 degrees - ∠BRE = 180 - 100 = 80 degrees

Now let's consider ΔQRC:

  ∠BRC + ∠RQC + ∠QCR = 180 degrees

   80 + 80 + x = 180

         x = 20 degrees

Answer: 20 degrees

Hope that helps!

Answer:

A 6000

Step-by-step explanation:

15x20 = 300

300 x 10

since theres two rectangles with the same side lengths

3000 x 2

6000

Answer:

A 6000 cm^3

Step-by-step explanation:

Bottom rectangular prism volume =   15 x 20 x 10 = 3000 cm^3

Top prism =   10 x 20 x 15  = 3000 cm^3

Summed = 6000 cm^3

Answer:

see below

Step-by-step explanation:

distance / rate = time

x = walking distance        20 -x = biking distance

x / 4 m/hr   +   (20-x) / 12 m/hr    =   3 hours

x/4   + ( 20-x) /12 = 3     multiply both sides of the equation by 12  

3x  + 20 -x  = 36

2x = 16

x = 8      8 miles walking    then   12 miles biking

Answer:

1. 2 + 3

2. -4 - 8

3. -4 + 8

4. -2 × 2

5. 24 ÷ 2

6. 3 - 8

7. 1 × 7

8. -7 ÷ -1

9. 36 ÷ 4

10. 3 × -3

you're welcome