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3 years ago

Is a triangle with sides of length 7 ft, 24 ft, and 25 ft a right triangle? Explain.

1 answer:

5 0

25^2 = 625
7^2 + 24^2 = 49+576 = 625

625 = 625

ANswer
Yes. It's right triangle

the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse....It's right triangle angle

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Harold and his friend both enjoy running long distances.Yesterday Harold ran 8 2/4 miles and his friend ran 4 3/4 miles. How man

andriy [413]

Answer:

Harold ran $3\frac{3}{4}\ miles$ more than his friend.

Step-by-step explanation:

Given:

Number of miles Harold ran = $8\frac{2}{4}\ miles$

$8\frac{2}{4}\ miles$ can be Rewritten as $\frac{34}{4}\ miles$

Number of miles Harold ran = $\frac{34}{4}\ miles$

Number of miles his friend ran = $4\frac{3}{4}\ miles$

$4\frac{3}{4}\ miles$ can be Rewritten as $\frac{19}{4}\ miles$

Number of miles his friend ran = $\frac{19}{4}\ miles$

We need to find number of miles Harold ran more than his friend.

Solution:

Now we can say that;

To find the number of miles Harold ran more than his friend we need to subtract Number of miles his friend ran from Number of miles Harold ran.

framing in equation form we get;

the number of miles Harold ran more than his friend = $\frac{34}{4}-\frac{19}{4} =\frac{34-19}{4} = \frac{15}{4}\ miles$

$\frac{15}{4}\ miles$ can be Rewritten as $3\frac{3}{4}\ miles$

the number of miles Harold ran more than his friend = $3\frac{3}{4}\ miles$

Hence Harold ran $3\frac{3}{4}\ miles$ more than his friend.

4 0

3 years ago

Use a trigonometric ratio to find the distance EF.

leonid [27]

Answer:

The height of the building is approximately 73 m.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, $FG=34\ m$

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

$\angle G=90-25=65\°$

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

$\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m$

Therefore, the height of the building is approximately 73 m.

4 0

3 years ago

Line q contains the points, (1, 5) and (1, 8). What is the relationship between the slope of line q and the slope of the x-axis?

ehidna [41]

Answer:

A. Line q slope is undefined and x-axis has a slope of 0

Step-by-step explanation:

These ordered pairs have identical x-coordinates, therefore the rate of change [slope] is undefined.

I am joyous to assist you anytime.

6 0

3 years ago

Read 2 more answers

Identify the initial amount a and the decay factor b in the exponential function. y equals 5 times 0.5 superscript x

Ber [7]

$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=a(b)^x\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
a=\textit{initial amount}\\
b=\textit{decay factor}\\
x=\textit{elapsed time}\\
\end{cases}
\\\\\\
y=\stackrel{a}{5}(\stackrel{b}{0.5})^x$

7 0

3 years ago

The diagram on the right shows the graph of a quadratic function f(x)=kx^2+6x+h.Point A(3,14) is the maximum point of the graph

weeeeeb [17]

Answer:

Step-by-step explanation:

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3 years ago