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3 years ago

The length of a rectangular garden is three feet less than twice its width.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

Answer:

Width of the rectangle is 8 feet

Length of the rectangle is 13 feet

Step-by-step explanation:

Complete question -

The length of a rectangular garden is three feet less than twice its width. If the perimeter of the garden is 42 feet, what is its length?

Solution

Let the width of the rectangle be X feet

Length of the rectangle would be 2X -3 feet

Perimeter of the rectangle is 2 (length + breadth)

Substituting the given values, we get -

Perimeter = 2 (length + breadth)

$42 = 2 [(2X-3) + X]\\42 = 4X - 6 + 2X\\48 = 6X\\X = 8$

Width of the rectangle is 8 feet

Length of the rectangle is $2*8 -3 = 16-3 = 13$ feet

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Estimate the student's walking pace, in steps per minute, at 3:20 p.m. by averaging the slopes of two secant lines from part (a)

ehidna [41]

This question is incomplete, the complete question is;

A student bought a smart-watch that tracks the number of steps she walks throughout the day. The table shows the number of steps recorded (t) minutes after 3:00 pm on the first day she wore the watch.

t (min) 0 10 20 30 40

Steps 3,288 4,659 5,522 6,686 7,128

a) Find the slopes of the secant lines corresponding to the given intervals of t.

1) [ 0, 40 ]

11) [ 10, 20 ]

111) [ 20, 30 ]

b) Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part (a). (Round your answer to the nearest integer.)

Answer:

1) for [ 0, 40 ], slope is 96

11) for [ 10, 20 ], slope is 86.3

111) for [ 20, 30 ], slope is 116.4

b) the student's walking pace is 101 per min

Step-by-step explanation:

Given the data in the question;

t (min) 0 10 20 30 40

Steps 3,288 4,659 5,522 6,686 7,128

SLOPE OF SECANT LINES

1) [ 0, 40 ]

slope = ( 7,128 - 3,288 ) / ( 40 - 0

= 3840 / 40 = 96

Hence slope is 96

11) [ 10, 20 ]

slope = ( 5,522 - 4,659 ) / ( 20 - 10 )

= 863 / 10 = 86.3

Hence slope is 86.3

111) [ 20, 30 ]

slope = ( 6,686 - 5,522 ) / ( 30 - 20 )

= 1164 / 10 = 116.4

Hence slope is 116.4

Estimate the student's walking pace, in steps per minute, at 3:20 pm by averaging the slopes of two secant lines from part .

Since this is recorded after 3:00 pm

{ 3:20 - 3:00 = 20 }

so t = 20 min

so by average;

we have ( [ 10, 20 ] + [ 20, 30 ] ) /2

⇒ ( 86.3 + 116.4 ) / 2

= 202.7 /2

= 101.35 ≈ 101

Therefore, the student's walking pace is 101 per minutes

3 0

3 years ago

Willy has compounded monthly to invest his summer earnings of $4259 in the

pogonyaev

We have been given that Willy has compounded monthly to invest his summer earnings of $4259 in the Rock Solid Bank. The bank is offering 6%. We are asked to find the amount of money will be after 5 years.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year.

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since interest is compounded monthly, so $n=12$ and $P=4259$ .

$A=\$4259(1+\frac{0.06}{12})^{12\cdot 5}$

$A=\$4259(1+0.005)^{60}$

$A=\$4259(1.005)^{60}$

$A=\$4259(1.3488501525493161)$

$A=\$5744.752799707\approx \$5744.75$

Therefore, Will will have approximately $\$5744.75$ in 5 years.

7 0

3 years ago

Find the slope and the y-intercept of the graph of the linear equation.

Deffense [45]

Answer:

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

Step-by-step explanation:

3 0

2 years ago

Here is the histogram of a data distribution. What is the shape of this distribution.

tankabanditka [31]

Answer:

Hey there!

I think your answer would be unimodal skewed. This graph only has one maxima, thus it can't be bimodal. However, it's not symmetric, meaning that it is skewed.

Hope this helps :)

6 0

4 years ago

Please help! USE 3.14 as Pi please!

Fittoniya [83]

Area: 3.14*10*10
=314

Perimeter: 3.14*20
=62.8

7 0

3 years ago