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3 years ago

5

The length of a rectangular garden is 9 feet longer than its width. if the garden's perimeter is 190 feet, what is the area of t

he garden in square feet?

1 answer:

bagirrra123 [75]3 years ago

7 0

L: 52
w: 43

draw a picture and create a formula.

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a wheelchair ramp has a rise from the ground of 1 foot. the ramp has a length of 14 feet. to the nearest degree, find the angle

sergey [27]

The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
Sin(α) = Opposite/Hypotenuse
sin(α) = (1 ft)/(14 ft)
α = arcsin(1/14) ≈ 4°

The angle the ramp makes with the sidewalk is 4°.

6 0

3 years ago

What is the inequality of 10p – 8 ≥ 12.

LenaWriter [7]

Answer:

p > 2

Step-by-step explanation:

3 0

3 years ago

12.4. Measure of Dispersion<br>2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.

Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 5

Given data 4, 6,8,10,12

$Mean = \frac{4+6+8+10+12}{5} = 8$

Mean of the sample x⁻ = 8

Standard deviation of the sample

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

<u><em>Step(ii)</em></u>:-

Given data

x : 4 6 8 10 12

x-x⁻ : 4 - 8 6-8 8-8 10-8 12-8

(x-x⁻) : -4 -2 0 2 4

(x-x⁻)² : 16 4 0 4 16

$S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}$

$S.D = \sqrt{\frac{16+4+0+4+16}{4}}$

S.D = √10 = 3.16227

<u><em> Final answer</em></u>:-

The standard deviation = 3.16227

8 0

2 years ago

Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

5 0

2 years ago

Please help!!!!!!!!!!!!!!!!!

nadya68 [22]

Answer: 5 up 10 over

Step-by-step explanation:

I had this on my quiz

3 0

3 years ago