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Virty [35]
3 years ago
12

a rectangular deck has a area of 320 ft squared. the length of the desk is 4 feet longer than the width. find the dimensions of

the desk. Solve by completing the square.
Mathematics
1 answer:
Anon25 [30]3 years ago
3 0
Because l•w= area, area= 320, l=w+4
width • (width +4)= 320

Distribute the multiplication over addition and move all to the left side.
w^2 +4w-320=0
(w-16)•(w+20)=0 yet, The product of two things is 0 if one is 0 or both are 0 so
w-16=0 so w=16 and
w+20=0 so w= -20

Now the width or length could not be negative so we discard the solution w=-20.

Answer
width= 16 inches
length =16+4=20

Verify
w•l=320
16•20=320✔️





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5.2 Two concentric circles have radii 7cm and 4cm respectively. PQ, a chord to the larger circle, is 13cm.
kodGreya [7K]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the smaller chord AB is 4 cm.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

The diagram for the given condition can be drawn as shown below. Therefore, the measure of the smaller chord AB can be found as shown below.

The two triangles, ΔOPQ and ΔOAB are similar. Therefore, for similar triangles, we can write,

\dfrac{PQ}{AB} = \dfrac{OQ}{OB}=\dfrac{PO}{AO}

Now, we can write further,

\dfrac{13}{AB} = \dfrac{7}{4}\\

AB = 7.43 cm

Hence, the length of the smaller chord AB is 4 cm.

Learn more about Similar Figures:

brainly.com/question/11315705

#SPJ1

4 0
2 years ago
1/6 ÷4/7=?please help I don't understand this
sladkih [1.3K]
<span>0.00595238095</span>............................

7 0
3 years ago
Read 2 more answers
Please help me. Need it.
Lunna [17]
Hey There!
win 10 lose 12
win 15 lose 18

5×2=10, 6×2=12
5×3=15, 6×3=18

Hope This Helps!!!
4 0
3 years ago
Find the zero of the following function: f(x)=2/3(x)+6
elixir [45]
X=-9.
explanation: You want to set the equation equal to 0, so 0=2/3x+6. Subtract 6 from each side... -6=2/3x. then multiply each side by the reciprocal of 2/3, or 3/2. The equation is now 6(3/2) = 2/3x(3/2). Knowing that the reciprocal of any number times itself =1, we can conclude that -18/2, or -9=1x.
7 0
3 years ago
Solve the following problem. Choose the correct answer.Sam's Discount Store offers a 2% discount for paying cash. How much would
Alex

Answer:

She would pay <u>$38.17</u>.

The correct answer is B.) 38.17

Step-by-step explanation:

Given:

Sam's Discount Store offers a 2% discount for paying cash.

A set of skillets priced at $38.95.

Now, to find the amount Joan would pay cash for a set of skillets.

Cost price of skillets = $38.95.

Discount rate = 2%.

Now, to get the price after discount:

38.95-2\%\ of\ 38.95\\\\=38.95-\frac{2}{100}\times 38.95\\\\=38.95-0.02\times 38.95\\\\=38.95-0.78\\\\=38.17.

Therefore, she would pay $38.17.

The correct answer is B.) 38.17

5 0
3 years ago
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