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2 years ago

Does anyone knows how to solve thiss???

Mathematics

1 answer:

irina1246 [14]2 years ago

8 0

10 thanks and i'll answer this

Step-by-step explanation:

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An archaeological site is to be made accessible for viewing by the public. To do this, archaeologists built two straight paths f

Jobisdone [24]

Answer:

387 km

Step-by-step explanation:

The length of AC, b can be obtained using the cosine rule ; using the cosine relation:

b² = a² + c² - 2ac CosB

b² = 250² + 185² - 2(250*185) Cos125

b² = 62500 + 34225 - 92500 * −0.573576

b² = 96725 + 53055.820

b² = 149780.82

b = sqrt(149780.82)

b = 387.01527

b = 387 km (nearest whole number)

5 0

2 years ago

a circular oil slick is expanding at a rate of 2m^2/h. Find the rate at which it's diameter is expanding when it's radius is 1.5

aleksandrvk [35]

Answer: $\frac{4\pi}{3} \text{ meter per hour}$

Step-by-step explanation:

The circular oil slick is expanding at a rate of $2 m^2/h$

Let A be the area of the circular oil slick,

So, the changes in A with respect to time (t),

$\frac{dA}{dt} = 2$

$\frac{d(\pi r^2)}{dt} = 2$

$2\pi r\frac{dr}{dt} = 2$

$\frac{dr}{dt} = \frac{1}{\pi r}$

Also, the change in diameter with respect to time(t),

$\frac{d}{dt} (2 r) = 2 \frac{dr}{dt}$

$\frac{d}{dt} (2 r) = 2 \times \frac{1}{\pi r}$

$\frac{d}{dt} (2 r) = \frac{2}{\pi r}$

For r = 1.5 m,

$\frac{d}{dt} ( 2 r)]_{r=1.5} = \frac{2}{\pi \times 1.5}=\frac{20}{\pi \times 15}=\frac{4\pi }{3}\text{ meter per hour}$

7 0

2 years ago

Help me with this please

RideAnS [48]

Answer:

x = 14

I am sure of the answer :)

8 0

2 years ago

Which is the equation for the statement: The quotient of 1.2 added to a number and 5 is 3.6?

ANEK [815]

The answer is $\frac{x+1.2}{5} =3.6$
or (x + 1.2) ÷ 5 = 3.6

6 0

2 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

RUDIKE [14]

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

$A(t) = A(0)(1 + r)^t$

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

$y = 21(1.08)^x$

$1 + r = 1.08$

$r = 0.08$

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

8 0

2 years ago