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2 years ago

The height of a tower on a scale drawing is 6 cm. The scale is 2 cm:27 m. What is the actual height of the tower?

Mathematics

1 answer:

Marysya12 [62]2 years ago

3 0

Answer:

81 m

Step-by-step explanation:

The scale essential means that for every 2 cm the actual height is 27 meters. This means that 6/2 should give us the number we need to multiply 27 by. This comes out to be 81.

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Find the average value fave of the function f on the given interval. f(t) = e^sin(t) cos(t), [0, π/2]

RideAnS [48]

The question is related to integration and we have to used the following formula

$\frac{1}{b-a}\int\limits^a_b {f(x)} \, dx$

$\frac{1}{\pi /2 -0}\int\limits^0_{\pi/2} {e^{sin t}cos t } \, dt$

$= \frac{2}{\pi}(e^{sin t})_{0}^{ \pi /2}$

$=\frac{2}{\pi}(e^{sin(\pi/2)} -e^{sin0})$

$=\frac{2}{\pi}(e -1)$

6 0

3 years ago

Mika read a 405- page book in 6 hours, how many pages per minute did she read?

barxatty [35]

Divide 405 by 6 which is 67.5
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6 0

3 years ago

If you get payed $11.75 an hour, how many hours do you have to work to have $169,000

Leni [432]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Greg deposited $4000 into an account with 4.6% interest, compounded semiannually. Assuming that no withdrawals are made, how muc

Zinaida [17]

The amount in account after 7 years is $ 5499.445

Solution:

The formula for total amount in compound interest is given as:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

Here given that,

A = ?

P = 4000

t = 7 years

$r = 4.6 \% = \frac{4.6}{100} = 0.046$

n = 2 ( since compounded semi annually)

Substituting the values in formula, we get

$A = 4000(1+\frac{0.046}{2})^{2 \times 7}\\\\Simplify\ the\ above\ expression\\\\A = 4000(1+0.023)^{14}\\\\A = 4000(1.023)^{14}\\\\A = 4000 \times 1.37486\\\\A = 5499.445$

Thus amount in account after 7 years is $ 5499.445

4 0

4 years ago

Each lap around Spring Reservoir is 2 3/8 miles long. Terrence walked 2 1/2 laps around the Reservoir. How many miles did Terren

Arturiano [62]

Namely, how much is 2 and 1/2 of 2 and 3/8 then, well is just their product, let's first convert them both from mixed to "improper" and proceed.

$\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}
\\\\\\
\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\
-------------------------------\\\\
\stackrel{laps~done}{\cfrac{5}{2}}\cdot \stackrel{\textit{miles in a lap}}{\cfrac{19}{8}}\implies \cfrac{95}{16}\implies \stackrel{miles}{5\frac{15}{16}}$

6 0

3 years ago