Find the length of the missing side of the right triangle. (Don't put units in your answer.)

Answer:

[tex]-5\leq w\leq 5[/tex]

[tex]\huge\underline\mathtt\red{Answer:}[/tex]

−5 ≤ w ≤ 5

Using the combination formula, it is found that if the first flag is orange then the number of different signals consisting of 4 flags is 364.

The order in which the flags are chosen is not important, hence, the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, considering that the first flag is orange, 3 flags will be chosen from a set of the remaining 14, hence the number of signals is given by:

[tex]C_{14,3} = \frac{14!}{3!11!} = 364[/tex]

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Answer:

48

Step-by-step explanation:

Answer:

$24.11

Step-by-step explanation:

Answer:

1.1 2.4 3.3 right

Step-by-step explanation:

no have

The cost of the horse given the amount received at the end of 6 months is 600

let

6/12 × 1200 + 6h/12 = 400 + h

700 + 6h / 12 = 400 + h

700 - 400 = h - 6h/12

300 = 12h - 6h / 12

300 = 6h/12

300 × 12 = 6h

3600 = 6h

h = 3600 / 6

h = 600

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Answer:

No, (-4, 6) is not a solution to y = -9.

Step-by-step explanation:

y= -9 has a horizontal line graph.  Every point on this line has -9 as its y-coordinate.  (-4, 6) does not lie on that line and is therefore not a solution to y = -9.

The probability of winning when there is only one prize, is:

P = 1/2,790,720

Each ticket has 6 different numbers, in order, from 1 to 20.

The total number of possible combinations is given by the product between the numbers of options, so there are:

C = 20*19*18*17*16*15 = 27,907,200 possible tickets.

So, if Trina purchases 10 tickets, she has a probability of 10 out of 27,907,200 winning (when we assume that there is only one prize)

Then the probability is:

P = 10/27,907,200 = 1/2,790,720

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Answer:

19 the explanation is 19 46

Answer:

17%

Step-by-step explanation:

subtract/originial*100=lercent change

4.08/24=0.17*100=17

The answer is 17%

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

Answer:

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

For the line and the plane to be perpendicular, they have to meet at right angles

The equation for the plane is x + 2y + 3z= 26

From the complete question, we have:

Point = (5,0,7)

Plane perpendicular to ⟨1,2,3⟩

The general equation is:

a * x+b * y+c * z = d

So, we have:

d = 5 * 1 + 2 * 0 + 7 * 3

Evaluate

d = 26

Recall that:

d = 5 * 1 + 2 * 0 + 7 * 3

Replace the points with x, y and z.

So, we have:

d = x * 1 + 2 * y + 3 * z

Evaluate

d = x + 2y + 3z

So, we have:

d = x + 2y + 3z and d = 26

Equate both equations

x + 2y + 3z= 26

Hence the equation for the plane is x + 2y + 3z= 26

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Answer:

answer is 19/9.

Step-by-step explanation:

give me brielient.

Answer: 90.

Step-by-step explanation: According to the question above, 54 Thin Mints cookies were 60% of the total amount of cookies she sold in one afternoon and the remaining 40% is still missing. 54 / 3 is 18, which is part of our answer, because if 54 is 60%, then 18 is 20%. 18 x 2 is 36, and 36 is 40%. Now that we've found the remaining 40%, the rest is adding 54 and 36, which gives you an answer of 90.

Answer: 21

Step-by-step explanation:

Answer:

Last option

Step-by-step explanation:

In order to manipulate a, you have to divide by 3 on both sides.

Answer:

Step-by-step explanation:

Slope intercept form

y + 7 = 3(x  + 4)                 Change all the double minuses to pluses.

y + 7 =  3x + 12                  Remove the brackets.

y + 7 - 7 = 3x + 12-7           Subtract 7 from both sides

y = 3x + 5

Slope

Whatever number is in front of the x is the slope Answer: 3

y intercept

Whatever comes after the plus sign (or minus sign) is the y intercept. It is a single number.  Answer: 5

x intercept.

This occurs when y = 0

0 = 3x + 5                      Subtract 5 from both sides

-5 = 3x + 5 -5

-5 = 3x                            Divide by 3

-5/3 = 3x / 3

-5/3 = x                          

Answer: x_intercept = -5/3

Answer: 75, 40, 65

Step-by-step explanation:

Let the angles measure 15x, 8x, and 13x.

Since the sum of the angles of a triangle is 180 degrees,

15x+8x+13x=180, meaning that x=5.

So, the angles are 15(5)=75 degrees, 8(5)=40 degrees, and 13(5)=65 degrees.

Answer:

5/2

Step-by-step explanation:

to find the reciprocal you just flip the fraction.

Answer:

the answer is 5/2 because reciprocal means to flip the equation

Step-by-step explanation:

Answer:

A dodecagon is a shape with 12 sides

Step-by-step explanation:

Decagon is 10 and do is 2 so 12

Answer:

14.4

Step-by-step explanation:

We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.

x = cos(59) x 28

x = 14.4

Answer:

Step-by-step explanation:

The relations describing the two numbers can be written as equations. First, we need to assign variables: let x and y represent the first and second numbers, respectively.

The given relations are then ...

  7x +6y = 31

  3x -10y = 29

__

Such a system of equations can be solved many ways. One that is usually convenient is to use a graphing calculator. It tells us ...

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We need to know two formulas before we start ~

Taking value of pi as 3.14

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:d = 7.4[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = d \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 7.4 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 3.7 \: \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (3.7) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 42.9866 \approx43 \: \: unit {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.2 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \: circumference = 2 \times 3.14 \times 2.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: c =13.816 \: yd[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 5 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 15.7 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:d = 6 \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:circumference = 3.14 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \:c =18 .84 \: \: cm[/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 2.1 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \:area = 3.14 \times (2.1) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:a = 3.14 \times 4.41[/tex]

[tex]\qquad \sf  \dashrightarrow \:a \approx13.85 \: \: m {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = 1.3 \: mm[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 2 \times 3.14 \times 1.3[/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 8.16 \: \: mm[/tex]

Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rectangle GHIJ with the vertices G(2,-1) H(7,-1) I(7,-4) J(2,-4) is reflected across the line y= -5 to give G'(2, 3) H'(7, 3) I'(7, -3) J'(2, -3)  

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Answer:

8.0 * 10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.0 x 10 4

Step-by-step explanation:

This is right

Answer:

7.8 feet

Step-by-step explanation:

Use the formula of tan to find his height.

tan Θ = [tex]\frac{opposite}{adjacent}[/tex]

tan 48 = [tex]\frac{x}{7}[/tex]

x = tan 48 × 7

x = 7.8 ft

Answer:

the formula to use is R = 100I/ PT

Step-by-step explanation:

R = rate, I = interest = $1100, P = $ 1000, T= 5years