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blagie [28]
2 years ago
11

A 22 ft ladder is set up 6 feet from the base of the building. How far up the building does the ladder reach. Round to the neare

st tenth of a foot
Mathematics
2 answers:
Dennis_Churaev [7]2 years ago
6 0

Answer:

Let AB be the height of the building and B be the base as shown in the figure.

Using Pythagoras Theorem,

AC^{2} =AB^{2} +BC^{2} \\or, 22^{2}= AB^{2}+ 6^{2} \\or, 484 = AB^{2} +36\\or, AB^{2} = 448\\or, AB = 8\sqrt{7} feet\\So, the ladder reaches 8\sqrt{7} feet far from the building

Serga [27]2 years ago
5 0

Answer

13.2

Step-by-step explanation:

bcuz i did it on egde 2021

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Step-by-step explanation:

The tax is applied after the discount so first find the discounted price:

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= Price * ( 1 + tax rate)

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4 0
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Read 2 more answers
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
It takes you 53 minutes to bike 15 miles. At that same rate, about how long does it take you to bike 100 miles?
NikAS [45]

Answer:

It takes about 350 minutes to bike 100 miles

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3.5 x 100 = 350

3 0
2 years ago
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