On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?

Explanation:

The first column is nothing but "2"s.

The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.

So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.

The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.

The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.

Vertebrates are those animals that have a spinal cord.

Invertebrates are those who do not have a spinal cord or vertebrae.

The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.

The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.

Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.

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The answer is: 2(k2−4k)(2c+5)

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Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

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Answer:

2(k2−4k)(2c+5)

Step-by-step explanation:

Answer: 25

Step-by-step explanation: because 50% of 50 is 25

Answer:

[tex] \frac{ \alpha + \beta + \gamma }{ - d} [/tex]

Step-by-step explanation:

If we simplify that fraction, we get

[tex] \frac{ \alpha + \beta + \gamma }{ \alpha \beta \gamma } [/tex]

Keep that in mind.

If y, a ,b are zeroes of the cubic polynomial, then that means

[tex](x - \alpha )(x - \beta )(x - \gamma )[/tex]

make up the polynomial.

Notice that leading xoeffeicent will be 1, so the roots will multiply to

[tex] - d[/tex]

so

[tex] \alpha \beta \gamma = - d[/tex]

which gives us

[tex] \frac{ \alpha + \beta + \gamma }{ - d} [/tex]

Proof:

Consider the function

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

The roots are 2, 3, 5.

D is -30 so we get

Using the value,

[tex] \frac{2 + 3 + 5}{ 30} = \frac{1}{3} [/tex]

If we use the orginal equation, we get

[tex] \frac{1}{6} + \frac{1}{10} + \frac{1}{15} = \frac{10}{30} = \frac{1}{3} [/tex]

Answer:

Hey,mate

Notice that leading xoeffeicent will be 1, so the roots will multiply to

The roots are 2, 3, 5.

[tex]\sqrt{2} \sqrt{3} \sqrt{5}[/tex]

D is -30

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

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Answer:

(6-5)/5=20% increase

Step-by-step explanation:

Answer:

4.0x10^7

Step-by-step explanation:

5.6÷1.4=4

10^(5-(-2))

=10^7

=4.0x10^7

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

Answer:

0.1 or 10%

Step-by-step explanation:

Cost: 500

Sell: 550

550-500 = 50

50/500 = 0.1 OR 10%

Therefore, the percentage profit for each sale is 10% of the original wholesale price.

Answer:

10%

Step-by-step explanation:

profit=buyingpirce _selling price

550_500=50

%profit=profit\buyingprice×100

50\500×100=10%

Answer:

33.3333333333

Step-by-step explanation:

we see that there are 6 candies in total

we also see that there is a 50% chance that someone will take out 3 candies of the same color,

50/3 = 16.66666666666667

so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333

I hope I could help

since the diameter is 66 cm, then its radius is half that or 33 cm.

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]

The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

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Answer:

P=67.38

Step-by-step explanation:

All three sides are given. You can use any one of the the three major functions on your calculator to g

Adjacent = PQ = 5

Hypotenuse = PR = 13

Cos(P)  = Adjacent / Hypotenuse

Cos(P) = 5/13

Cos(P) = .3846

Now you need to use the inverse cos to get P

P = cos-1(.3846)

P =67.38

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Now we'll try the tangent

Tan(P) = opposite / adjacent

Tan(P) = 12/5

Tan(P) =2.4

P = Tan-1(2.4)

P = 67.38

Both functions give the same thing

[tex]\\ \rm\Rrightarrow cosP=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cosP=\dfrac{5}{13}[/tex]

[tex]\\ \rm\Rrightarrow cosP=0.38[/tex]

[tex]\\ \rm\Rrightarrow P=cos^{-1}(0.38)[/tex]

[tex]\\ \rm\Rrightarrow P=67.67°[/tex]

Answer:

17

Step-by-step explanation:

✌

Answer:

Step-by-step explanation:

The radious is 7 inches, that means the diameter is 14 inches.

The height is 18 inches. so...

V=πr2h=π·72·18≈2770.88472

So hence, your answer is

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Answer: 4

Step-by-step explanation:

There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

When a line is cut by a transversal, 4 angles are formed,

2 angles are >=90° while 2 are <=90°

So when we take 2 parallel lines, 4 pairs are formed.

Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

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Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Answer:

Add 12 and 15 to their X value.

Step-by-step explanation:

X = 28, but they could check by adding 12 and 15 to see if it adds to 55.

Answer:

15

+12

=27

55

-27

=28

28 of the marbles are blue

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

The answer is: Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.

Answer: 12,888 in^2 (inches squared)

Step-by-step explanation:

The three main differences are management style, investment objective and cost — and index funds are the clear winner.

Sure hope this helps you and pls mark me brainiest!

The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.

"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."

"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "

"If a mutual fund is active, then it has high fees than index fees."

"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."

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Answer: 83 degrees

Step-by-step explanation:

In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:

[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]

[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]

Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:

[tex]x=arccos(\frac{1}{8} )[/tex]

[tex]x=83[/tex]

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

Answer: $40000

Step-by-step explanation:

200000(0.2) = $40000