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Setler79 [48]
3 years ago
10

Can someone also help me with this other diagram problem?

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer: the length of the other side is 16.5 units.

Step-by-step explanation:

The rectangle has 2 equal and parallel sides. Each of the 4 angles in a rectangle is 90°. This means that the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the other side, x, we would apply Pythagoras theorem. It is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

17² = x² + 4²

289 = x² + 16

x² = 289 - 16 = 273

x = √273

x = 16.5 units

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SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W

V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
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using sign chart
sign changes from positive to negative at H=1

so at H=1
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W=(10-4H)/(H+2)
W=2

the dimeionts are

length=4ft
width=2ft
height=1ft
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3 0
3 years ago
if danny jogged 8x-21 miles and julie jogged 24x-63 mike’s, how many times longer was julie’s travel distance than danny’s?
Bas_tet [7]
Julie traveled 3 times more miles than Danny.
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6 0
3 years ago
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Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

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Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

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3 years ago
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Answer:

The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = \frac{1}{5} x^{2}

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

5 0
3 years ago
Two similar cylinders have surface areas of 24π cm2 and 54π cm2. The volume of the smaller cylinder is 16π cm3. What is the volu
Svetach [21]

Answer:

the answer is 54pi cm^3

Step-by-step explanation:

I'm smart

7 0
3 years ago
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