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yuradex [85]
3 years ago
5

In CDE, the measure of angle E=90° the measure of C=16° and EC = 65 feet. Find the length of DE to the nearest tenth of a foot.

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

Answer:

7

Step-by-step explanation:

You just know when u got it

natulia [17]3 years ago
6 0

Answer:

Is 18.6 feet

Step-by-step explanation:

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Can anyone help me convert these??
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1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);
blondinia [14]

\text{Consider the function}\\
\\
h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\
\\
\text{we know that the average rate of change of a funtion f(x) over the }\\
\text{interval [a, b] is given by}\\
\\
f_{avg}=\frac{f(b)-f(a)}{b-a}\\
\\
\text{so using this, the average rate of change of the given function is}

h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
\\
=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\
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=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\
\\
=\frac{-2}{\frac{\pi}{2}}\\
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6 0
3 years ago
at its peak in online shopping site was selling about 420 items per second at this rate how many items would it sell in 30 mins(
Studentka2010 [4]

Number of items an online shopping site sold per second = 420

Number of items it will sell in 30 minutes =

30 minutes = 1800 seconds

Number of items it will sell in 1800 seconds =

= 1800 × 420

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∴ This online shopping site will sell 756,000 in 30 minutes .

7 0
3 years ago
last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co
borishaifa [10]

Answer: x+y\geq 1, x>\frac{1}{4} ,  x\geq 2y and y\geq 0

Step-by-step explanation:

Here,  x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ x+y\geq 1

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ x\geq 2y

Also, She spent more than 1/4 hour running on her wheel.

⇒ x>\frac{1}{4}

And, we know that number of hours can not be negative.

⇒  y\geq 0

Therefore, the complete system of inequality which shows the given situation is,

x+y\geq 1, x>\frac{1}{4} and x\geq 2y, y\geq 0

Note: the feasible region ( covered by the given system) is shown in the below graph.


6 0
3 years ago
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