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3 years ago

7

your standing 12 feet in front of a building. The angle of elevation to the top of the building is 76 degrees. How tall is the b

uilding?

1 answer:

Oksanka [162]3 years ago

6 0

TAN(76°) = x/12 --> x = 48.13 feet

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A honeybee flaps its wings 200 times per second.how much time is required for one wingbeat? give your answere in millisecond

Fiesta28 [93]

The time required for one wing beat is 5 milliseconds.

<em><u>Explanation</u></em>

Lets assume, the time required for one wing beat is $t$ seconds

So, the time required for 200 wing beat $= 200t$ seconds

Given that, the honeybee flaps its wings 200 times per 1 second. So...

$200t=1 \\ \\ t=\frac{1}{200}seconds\\ \\ t= (\frac{1}{200}*1000 )milliseconds\\ \\ t=( 5 )milliseconds$

So, the time required for one wing beat is 5 milliseconds.

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3 years ago

How to simplify 20/10

Andreyy89

In order to get the answer to this question you will have to find the common factor and then divide the numerator and denominator by the common factor to get the answer.

$\frac{20}{10}$

$CF=10$

$20\div10=2$

$10\div10=1$

$\frac{2}{1} =2$

$= \frac{2}{1} or2$

Therefore the answer is "2."

Hope this helps.

4 0

3 years ago

What is the simplified version of 3\sqrt{135}

Aleonysh [2.5K]

Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{\frac{1}{n}}$

Using this property we get

$\sqrt[3]{135}=(135)^{\frac{1}{3}}$

$\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}$ $[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3\times \sqrt[3]{5}$ $[\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

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3 years ago

Read 2 more answers

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

Or

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

How do you convert 4.5 hours to minutes ?

marta [7]

Multiply the number of minutes in an hour(60) by 4.5

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2 years ago