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3 years ago

What is -3 (5a + 2 + 3c) simplified?

Mathematics

1 answer:

GuDViN [60]3 years ago

6 0

-15a - 9c -6 should be right :)

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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th

Vladimir [108]

Answer:

The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $\frac{AC}{BC}$ = $\frac{h}{d}$

And sin Ф = $\frac{AB}{BC}$ = $\frac{5500}{d}$

∵, cos²Ф = 1 - sin²Ф

So, $(\frac{h}{d})^{2}$ = $1 - (\frac{5500}{d})^{2}$

Or, $(\frac{h}{d})^{2}$ = $(\frac{d^{2}- 5500^{2}}{d^{2}})$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^{2}- 5500^{2}}$

Or, h = $\sqrt{(d + 5500) (d - 5500)}$

Hence The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$ Answer

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3 years ago

Which ratios are equivalent to 3:1?

trapecia [35]

Answer:

9:3;27:9;87:27

Step-by-step explanation:

The list goes on but hope that answers your question

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3 years ago

What is 2.23x3.42x6.42

Sergio039 [100]

Answer:

48.96

Step-by-step explanation:

Perform the two multiplications from left to right:

2.23x3.42x6.42 becomes:

7.6266 · 6.42, or

48.96

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3 years ago

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Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple in

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$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8000\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\dotfill &4 \end{cases} \\\\\\ A=8000[1+(0.065)(4)]\implies A=8000(1.26)\implies A=10080$

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3 years ago

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Chandler drives his car 20 miles round trip to work every day. How many total miles

Kaylis [27]

Answer:

10,000

Step-by-step explanation:

Since Chandler drives 20 miles every day and he work 5 days you take 5 times 20 to get 100 then you have to take 100 and times it by 100 to get answer of 10,000.

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3 years ago

What is -3 (5a + 2 + 3c) simplified?​

What is -3 (5a + 2 + 3c) simplified?