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2 years ago

The area of a rectangle is 8 square yards.

Mathematics

2 answers:

Alexandra [31]2 years ago

8 0

Answer:

24 square feet

Step-by-step explanation:

If the area of the rectangle is square yards then the area in feet would be 24 because there are 3 feet in a yard my multiply 8*3 to get 24.

andrey2020 [161]2 years ago

7 0

This might help

https://socratic.org/questions/if-a-rectangle-measures-8-feet-on-the-short-side-and-9-8-feet-on-the-long-side-w-1

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

2 years ago

At the first meeting of the Tennis Club, the 7 members decided to have a tournament in which every player will play a match agai

mariarad [96]

Answer:

21 matches

Step-by-step explanation:

This is a combination problem where we have to select two member out of 7 members

So we want calculation of 7C2

7C2 = 7!/[(2!)(7-2)!]

(7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]

(7*6)/2 ~ Note everything that easily cancels here!

42/2

21 matches

5 0

2 years ago

Give an answer to the picture above or below

Ostrovityanka [42]

Answer:

Graph

Step-by-step explanation:

8 0

2 years ago

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

7 0

2 years ago

David works six more hours per week than Xavier. If Xavier works 32 hours a week, what is the total hours the two work in a

Finger [1]

We are required to find the total hours David and Xavier works in a week

The total hours David and Xavier works in a week is 70 hours

let

number of hours Xavier works = 32 hours

number of hours David works = (6 + 32) hours

= 38 hours

<em>Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works</em>

= 32 hours + 38 hours

= 70 hours

Therefore, the total hours David and Xavier works in a week is 70 hours

brainly.com/question/21350626

5 0

2 years ago

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