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3 years ago

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The perimeter of a rectangular wooden deck is 90 feet.The deck's length is ,I, is 5 less than 4 times it's width, w.Which system

of linear equations can be used to determine the dimensions, in feet ,of the wooden deck?

1 answer:

nydimaria [60]3 years ago

3 0

Answer: The system of linear equations are

L + W = 45

L = 4W - 5

Step-by-step explanation:

Let L represent the length of the deck.

Let W represent the width of the deck.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2( length + width)

The perimeter of a rectangular wooden deck is 90 feet. This would be expressed as

90 = 2(L + W)

Dividing through by 2

L + W = 45

The deck's length,L is 5 less than 4 times its width, W. This is expressed as

L = 4W - 5

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The area of the triangle ABD is 56cm2. Work out the length of CD

MrRa [10]

Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

4 0

3 years ago

IgorLugansk [536]

Answer:

the time is 1.57 sec and the distance is 49.32mm

Step-by-step explanation:

Given that,

The angle is 180°

Angular velocity is 2rev/sec

The radius is 10mm

we are to find the time and distance traveled at that time

The formula is

θ = at

where t is the time,

a is the angular velocity

θ is angle in radian

so,

θ = 180° × π/180°

θ = π

= 3.14

Hence ,

θ = at

3.14 = 2t

t = 1.57sec

let the distance be xmm

$\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm$

Therefore , the time is 1.57 sec and the distance is 49.32mm

7 0

3 years ago

Read 2 more answers

A boy weighs 18 kilograms. How much does he weigh in pounds? Use the following conversion: 1 kilogram is 2.2 pounds

mihalych1998 [28]

39.6832 is your answer

8 0

3 years ago

The measure of an angle is 89°. What is the measure of its complementary angle?

mr Goodwill [35]

Answer:

1 Degree

Step-by-step explanation:

A complementary angle measures 90 degrees in all. So if one angle is 89 degrees, then we need to subtract 89 by 90

90

- 89

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1

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8 0

3 years ago

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

prohojiy [21]

Answer:

Michelle's age = 16

Step-by-step explanation:

As we know,

Amount = $P (1 + r)^{t}$ where

P = Principal amount

r = rate of interest

t = time

Given ,

P = $1000

r = 4.5 % = $\frac{4.5}{100} = 0.045$

Now,

Given that Amount reaches more than $2000

⇒ $P (1 + r)^{t}$ > 2000

⇒ $1000(1 + 0.045)^{t}$ > 2000

⇒ $(1.045)^{t}$ > 2

Now,

we put the value of t from 0 , 1, 2, ..... untill the above equation does not satisfy

Now,

for t = 0

$(1.045)^{0} = 1 \ngeq 2$

for t = 1

$(1.045)^{1} = 1.045 \ngeq 2$

for t = 2

$(1.045)^{2} = 1.092 \ngeq 2$

for t = 3

$(1.045)^{3} = 1.14 \ngeq 2$

for t = 4

$(1.045)^{4} = 1.19 \ngeq 2$

for t = 5

$(1.045)^{5} = 1.25 \ngeq 2$

for t = 6

$(1.045)^{6} = 1.30 \ngeq 2$

for t = 7

$(1.045)^{7} = 1.36 \ngeq 2$

for t = 8

$(1.045)^{8} = 1.42 \ngeq 2$

for t = 9

$(1.045)^{9} = 1.48 \ngeq 2$

for t = 10

$(1.045)^{10} = 1.55 \ngeq 2$

for t = 11

$(1.045)^{11} = 1.62 \ngeq 2$

for t = 12

$(1.045)^{12} = 1.69 \ngeq 2$

for t = 13

$(1.045)^{13} = 1.77 \ngeq 2$

for t = 14

$(1.045)^{14} = 1.85 \ngeq 2$

for t = 15

$(1.045)^{15} = 1.93 \ngeq 2$

for t = 16

$(1.045)^{16} = 2.02 > 2$

It satisfies at t= 16

∴ we get

Michelle's age = 16

4 0

3 years ago