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Ipatiy [6.2K]
3 years ago
5

A square has a diagonal with the length of 8V7 inches. What is the length of the sides?

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

approximately 13.9 inches

Step-by-step explanation:

That's 8√6, not 8V7.

The four sides are of the same length (x).  According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or

2x² = 64(6) = 384

Dividing both sides by 2, we get:

x² = 192, or x² = 4(48).  Then the side length is x = √16√12, or

x = 4√4√3 = 8√3.  This is approximately 13.9 inches.

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6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the
daser333 [38]
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$6700\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
t=years\to &24
\end{cases}
\\\\\\
A=6700(1+0.08\cdot 24)\implies A=19,564.00
5 0
3 years ago
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What is the slope of the line that passes through the points (6,4) and (-3,-7)
ANEK [815]

Answer:

m = 11/9

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (-7 - 4) / (-3 - 6)

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= 11/9

7 0
3 years ago
A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
liubo4ka [24]

Answer:

At a speed of 57 mph for 8 hr a driver will travel 456 mi

Step-by-step explanation:

Here we have a summary of the letters for each variable:

Speed ---> r          (in units of mph)

Time ---> t            (in units of hr)

Distance ---> d     (in units of mi)

These three variables are related by the next formula:

d = rt

In the data they give to you: 57 mph and 8 hr, they are telling you the r and the t, respectively:

r = 57 mph

t = 8 hr

The only thing you have to do is replace the values:

d = rt    ---->     d = 57 mph x 8 hr

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5 0
3 years ago
What is the length of CD ? In this diagram ABC EDC ?<br> Please help !!!!
n200080 [17]
Answer:
CD = x = 4 units

Explanation:
We are given that the two triangles are similar. This means that we can set the similarity proportionality as follows:
\frac{BC}{CD} =  \frac{CA}{CE} =  \frac{AB}{ED}

W e have:
BC = 20 - x
AC = 20
CD = x
CE = 5

Substitute in the above proportionality and solve for x as follows:
\frac{20-x}{x} =  \frac{20}{5} = 4

4x = 20 - x
5x = 20
x = 4

Based on he above:
CD = 4 units
BC = 20 - x = 20 - 4 = 16 units

Hope this helps :)
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3 years ago
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What is the answer to y divided by 2 = 17
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The answer is Y=34
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