a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces

Answer: 41/20

Step-by-step explanation:

there is a possibility that this is incorrect bb srry

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

------------------------

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

If you want to learn more, you can read:

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Answer:

The LCM is 168

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Lowest common multiple is 168

Given :

Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .

Area of closet is , [tex]b=10.45\ ft^2[/tex] .

To Find :

Area of max's room including the closet .

Solution :

Let , area of max's room including the closet is A .

So , Total area = Area of room excluding closet + Area of closet .

[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]

Therefore , area of his room ,including the closet is 246.125 square feet .

Hence , this is the required solution .

Answer:

nineteen million thirty four thousand six hundred

I think this is right

Step-by-step explanation:

Answer:

Nineteen million thirty four thousand six hundred

Step-by-step explanation:

Answer:

the answer for this question is 18

Answer:

-12

Step-by-step explanation:

i had got it right yay

Answer:

:)

Step-by-step explanation:

m=c-12/a

I had this on a test and I got it right

Answer:

Step-by-step explanation:

Answer:

ORANGE: 160

APPLE: 108°

GRAPE: 60

OTHER: 32

Step-by-step explanation:

THE SUM OF 40, 27, 15 AND 8 IS 90

90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES

TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!

Answer:

(5, 9)

Step-by-step explanation:

Solve by Graphical Method.

I graphed the lines on a graph. The lines intercept at the point (5, 9).

(5, 9) is the solution to the system of equations.

x = 5

y = 9

Hope this helps.

Answer: Commutative Property of Multiplication/Addition

Step-by-step explanation:

The commutative property is simple

x + y = y + x

or for multiplication

x * y = y * x

Answer:

A. -5 - 3x > 10

Step-by-step explanation:

x = -6

A. -5 - 3(-6) > 10

-5 + 18 = 13 > 10

true

B. -3 - 5(-6) < -14

-3 + 30 = 27 < -14

false

C. 1 - 2(-6) > 13

1 + 12 = 13 > 13

false

D. 2 - (-6) <-3

2 + 6 = 8 < -3

false

Answer:

- 5

Step-by-step explanation:

Step 1:

2p - 3 = 3p + 2

Step 2:

2p = 3p + 2 + 3

Step 2:

2p = 3p + 5

Step 3:

- p = 5

Answer:

p = - 5

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

2p - 3 = 3p + 2

combine the like terms

-3 -2 = 3p -2p

-5 = p

Answer:

8

Step-by-step explanation:

Answer:

The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;

1) A translation of 8 blocks to the right followed by  2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise

Step-by-step explanation:

Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.

Answer:

7.2

Step-by-step explanation:

The distance of FG is 7.211

Distance between two points (x1,y1) and (x2,y2) is given by:

PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.

Given coordinates:

F(0, – 7) and G (-6, -3).

Using distance formula

= √(-6-0)² + (-3 +7)²

=√36+ 16

=√52

=7.211 units

Hence, the distance of FG is 7.211 units

Learn more about distance formula here:

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#SPJ2

Answer: D

Jaiden should have added zeroes to the ends of the shorter decimals to get 2.615 etc

Step-by-step explanation:

The numbers that have the same unit value but different digits in the decimal place can be ordered using place value.

The statement that describes Jaden's error is; Jaiden should have added

zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623,

then he should have compared them using place values.

Reasons:

The steps are;

(1) Comparing the digits to select the ones with the least amount of digits

(2) Comparing the digits in the place values of the numbers that equal number of digits

(3) Combining the list of the above comparison into one

Required:

To select the statement that describes Jaiden's error.

Solution:

The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.

The given numbers are;

2.615

2.65

2.7

2.623

The steps to order the numbers from least to greatest;

Then

Then

Next

The numbers 2.615, 2.623,2.650, 2.700,  are in the order from least to

greatest.

Therefore Jaiden's error is that Jaiden should have added zeros to each of

the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should

have compared them using place values.

Learn more here:

https://brainly.com/question/25078902

The possible question options are;

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

Answer:

The slope of the line is 0 (there is no change in the y-axis)

Step-by-step explanation:

Here, we want to find the slope of the line that passes through the given points

We use a formula for this;

Mathematically;

m = y2-y1/x2-x1

Substituting the values;

m= (3.5-7/2)/3.5+4.5 = 0/8 = 0

The slope of the line is 0

Answer:

M=(-2,2)

Step-by-step explanation:

Xm= -4 + 0/2 --> -4/2

Ym= 7 + -3/2 --> 4/2

Answer:

Area = 20 cm²

Step-by-step explanation:

Area = width * length

area = 5cm * 4cm

area = 20 cm²

Answer:

20 cm

5x4 =20

length times width

Step-by-step explanation:

you didn't give us the full question. what were the lengths of the worms found on Tuesday?

Answer:

Step-by-step explanation:

45

Answer:

12

Step-by-step explanation:

It is assumed the order of the numbers doesn't change.

Answer:

-2.2, -1 4/5, -7/4, 3/2

Step By Step:

I just converted all into decimals;

-1.8, -1.75, 1.5, -2.2

Then ordered them;

-2.2, -1.8, -1.75, 1.5