Maria cut a 9 foot board into two pieces. The long piece is twice as long as the short one. How long is each piece?

Step-by-step explanation:

6.3%

that is the correct answer

Answer:

16pi or 50.24

Step-by-step explanation:

Answer:

length is 20, so width would be 16

Step-by-step explanation:

Answer:

radius:19.73521 Diamiter:39.47042 Area:1223.583

Step-by-step explanation:

f(x) = x³ - 2x² - 24x

x³ - 2x² - 24x = 0

x(x² - 2x - 24) = 0

x = 0

x² - 2x - 24 = 0

a = 1, b = -2, c = -24

Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100

x = (-(-2) - 10)/(2 * 1) = -8/2 = -4

x = (-(-2) + 10)/(2 * 1) = 12/2 = 6

Answer: 2)

Answer:

c= 180-130

=50

d= 180-(50+60)

= 180-110

=70

Answer:

69.5 FT

Step-by-step explanation:

\cos C = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{95}

cosC=

hypotenuse

adjacent

​

=

95

x

​

\cos 43=\frac{x}{95}

cos43=

95

x

​

95\cos 43=x

95cos43=x

Cross multiply.

x=69.4786\approx \mathbf{69.5}\text{ feet}

x=69.4786≈69.5 feet

Answer:

its the second one

Step-by-step explanation:

Answer:

504ft3

Step-by-step explanation:

V=Bh

V=(18x2) 14

V=36x14

V= 504

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Answer:

[tex]y = 1[/tex]

Step-by-step explanation:

Given

Attached graph

Required

The graph equation

Pick any two points, we have:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]m = \frac{0}{2}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 0* (x - x_1) + 1[/tex]

[tex]y = 1[/tex]

Hence, the equation is:

[tex]y = 1[/tex]

the ones with straight lines are functions the ones that are curved is not a function

Answer:

Ones that have 2 values of y for a single value of x

(vertical line, sideways v shape are not functions)

Step-by-step explanation:

In a function, each input (x) can have only one output (y)

There cannot be two ys for one x

By utilizing trigonometric identities,we got cos 2θ = -1519/1681.

Given that sin θ = 40/41 and θ is a positive acute angle, we can find cos θ using the Pythagorean identity sin²θ + cos²θ = 1. Rearranging the equation, we have cos²θ = 1 - sin²θ.

Substituting the given value, we get cos²θ = 1 - (40/41)² = 1 - 1600/1681 = 81/1681.

Now, we can find cos 2θ using the double-angle identity cos 2θ = cos²θ - sin²θ.

Substituting the known values, we have

cos 2θ = (81/1681) - (40/41)² = 81/1681 - 1600/1681 = -1519/1681.

Therefore, cos 2θ = -1519/1681.

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Step-by-step explanation:

Given:

p=54 %=0.54  

n=8

DEFINITIONS

Definition binomial probability:  

[tex]P(X=x)=\frac{n !}{x !(n-x) !} \cdot p^{x} \cdot(1-p)^{n-x}[/tex]

Complement rule:

P( not A) = 1- P(A)

[tex]Addition rule for disjoint or mutually exclusive events[/tex]

[tex]P(A \text { or } B)=P(A)+P(B)[/tex]

Evaluate the definition of binomial probability at x=6

[tex]P(X=6)=\frac{8 !}{6 !(8-6) !} \cdot 0.54^{6} \cdot(1-0.54)^{8-6}=28 \cdot 0.54^{6} \cdot 0.46^{2} \approx 0.1469[/tex]

If we pick a card, roll a die, and find the sum , the different sums possible is 17.

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

If we pick any card and roll a die

The sum possible is

The highest it can be would be  13(card) + 6(die)  =19

the Lowest it can be would be 1(card) + 1 (die)  = 2

So the different sums possible is 19-2 = 17.

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The cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

A store is having a sale on trail mix and jelly beans .

Let trail mix = T

and  jelly beans = J

For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $18.

i.e

5T + 3J = 18 -------------------------- (1)

For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $45.  

i.e

2T + 12J = 45 -------------------------------(2)

Now,

multiplying eq (1) from 4

20T + 12J = 72 -----------------(3)

Solving equation (3) and (2) the equation by elimination method

20T + 12J = 72 -----------------(3)

2T + 12J = 45  -------------------------(2)

subtracting equation (2) from (3)

18T = 27

T = 1.5

substituting the value of T in equation 1

5T + 3J = 18

5*1.5 + 3J = 18

7.5 + 3J = 18

3J = 18 - 7.5

3J = 10.5

J = 3.5

Hence, the cost for each pound of trail mix is $1.5 and each pound of jelly beans is $3.5 .

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Answer:

3(15x-12)

Step-by-step explanation:

Answer:

Instead of adding the exponents of 2 to get four you should just leave the exponent as two in the final answer.

Answer:

$40

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) r = 29

B) The tangents to a circle have same length:

LM = 3*5 + 3 = 18

C) Use the intersecting secants theorem:

Answer:

4x^+2x+1=0

Step-by-step explanation: