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3 years ago

13

The length of a rectangle is 3 times the width. The perimeter is

2 answers:

Dmitrij [34]3 years ago

7 0

Answer:

is it from a text book

Step-by-step explanation:

expeople1 [14]3 years ago

6 0

Let L = length, W = width and P =Perimeter

L = 3W

and

P + 2(L + W) = 120

L + W = 60

Substitute

3W + W = 60

4W=60

W=60/4

W=15

L+W=60

L+15=60

L=60-15

L=45

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

A horse corral is situated on a triangular plot of land. Two sides of the plot are 150 feet long and they meet at an angle of 55

Brrunno [24]

Answer : d. 438.5 ft

The diagram for the given statement is attached below.

Two sides AB and AC are equal so the angle B = angle C

WE know sum of three sides of a triangle = 180

angle A + angle B + angle C = 180

55 + B + C = 180

B + C = 180 -55 = 125

B and C are equal so we divide 125 by 2

angle B = 62.5 and angle C = 62.5

Now we apply sin law

$\frac{sin A}{a} = \frac{sin B}{b}$

$\frac{sin 55}{a} = \frac{sin 62.5}{150}$

150 * sin(55) = sin(62.5) * a

122.8728066 = sin(62.5) * a

a = $\frac{ 122.8728066}{sin(62.5)}$

a= 138.52 feet

To find perimeter we add all the sides

150 + 150 + 138.52 = 438.52 feet

5 0

3 years ago

The perimeter of a rectangle given the area and height.

GuDViN [60]

hello :)

so here i am assuming that 66m^2 is the area and the height is 6.3 (sorry, but the way you wrote it is a bit funny, its all good tho)

so to calculate area it is hieght multipled by width

so you have to divide 66 by 6.3, which gives you this very long number : 10.4761904762

i would personally round it to either just 10 or 10.5

so you would want to write the answer as ≈10.5

hope that helped!

i would appreciate it if you voted me as brainliest :)

5 0

3 years ago

Which is equivalent to the following expression? (2x^2+4xy-y^2)+(x^2+3xy-y^2)

Karo-lina-s [1.5K]

Answer C : 3x^2+7xy-2y^2

equivalent to the following expression

$(2x^2+4xy-y^2)+(x^2+3xy-y^2)$

$2x^2+4xy-y^2+x^2+3xy-y^2$

Combine like terms

$2x^2+x^2+4xy+3xy-y^2-y^2$

2x^2 + x^2 is 3x^2

4xy+3xy is 7xy

-y^2-y^2 is -2y^2

So expression becomes

$3x^2+7xy-2y^2$

Answer C is correct

3 0

4 years ago

Read 2 more answers

The row-reduced form of a system of three linear equations in three variables is given by this matrix. How many solutions does t

Damm [24]

Answer:

B. infinite solutions along a line

Step-by-step explanation:

The matrix is equivalent to the equations ...

x = 2

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0z = 0 . . . . . . true for any z

This tells you the solutions are ...

(x, y, z) = (2, 9, z)

This defines a line parallel to the z-axis.

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3 years ago