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Sholpan [36]
3 years ago
11

A standard tennis court is 78 feet long does the word depends on the type of matches being played for a double match is a quart

is 36 feet wide for single matches the code is 3/4 as well what are the perimeter and area of each size tennis court
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Step-by-step explanation:

Length of tennis court, L = 78 ft

Width for single matches, Bs = 3/4 * 36

= 27 ft

Width for double matches, Bd = 36 ft

Single matches:

Area of rectangle = L × B

= 78 * 27

= 2106 ft^2

Perimeter = 2 * (L + B)

= 2*105

= 210 ft.

Double matches:

Area of rectangle = L × B

= 78 * 36

= 2808 ft^2

Perimeter = 2 * (L + B)

= 2*114

= 228 ft.

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Diano4ka-milaya [45]

$10000 in certificate of deposit

$30000 in mutual funds

Step-by-step explanation:

Step 1:

Total amount Stephanie has inherited = $40000

Let x be the amount she should put in certificate of deposit.

So 40000-x is the amount to be deposited in mutual funds

Step 2:

Total interest she wants to earn is 5.4% of $40000 = 5.4*40000/100 = 2160

Interest from certificate of deposit  = 2.1% of x = 2.1 * x /100

Interest from mutual funds is 6.5% = 6.5(40000-x)/100

Sum of the interest from both these equals 2160

so 2.1 * x /100 + 6.5(40000-x)/100 = 2160

=> 0.021x/100 + 2600-0.065x = 2160

=> -0.044x = -440 => x= 10000

Step 3 :

Hence Stephaine should invest $10000 in certificate of deposit and (40000-10000) = $30000 in mutual funds

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3 years ago
Solve the differential equation.<br> question is pictured with answer choices
Nimfa-mama [501]

Integrate both sides with respect to <em>t</em> :

∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>

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Use the initial condition to solve for <em>C</em> :

5 = -4•0³+ <em>C</em>

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So

<em>y(t)</em> = -4<em>t</em> ³ + 5

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Alternatively, you can directly apply the fundamental theorem of calculus:

\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du

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3 years ago
A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

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height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

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height = 2w

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Jobisdone [24]

Answer: h = 17

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The quickest way to get rid of a fraction is to multiply both

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So in this problem, we can get rid of the fraction in our

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On the left, the 4's cancel and on the right, 1(4) is 4.

Now we have h - 13 = 4.

Since 13 is being subtracted from <em>h</em>, to get <em>h</em> by itself,

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Now, we can check our answer by plugging 17 back

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Answer:

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Step-by-step explanation:

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