All categories

3 years ago

Please help me!!! I need to finish soon

Mathematics

1 answer:

Olenka [21]3 years ago

4 0

Answer:

S=47.1cm (to 3s.f.)

Step-by-step explanation:

To find the arc length, S, use the formula S=radius x angle(in radians)

S=10x 3pi/2

=47.1cm (to 3s.f.)

You might be interested in

Drag each set of side lengths to show whether they can or cannot make a triangle, or if there is not enough information to tell.

Svetach [21]

Answer:

D and E

Step-by-step explanation:

because the rule to make triangle is

a<b+c with a, b and c is the side of the triangle

6 0

3 years ago

Help me out please and thanks

omeli [17]

Answer:

Step-by-step explanation:

If you are trying to solve the system of equations then its

(x,y)=(-1,2)

If you are trying to rewrite the system of equations then its

x+6y=11

x-2y=-5

3 0

3 years ago

2% of 350 is what number?

weeeeeb [17]

Answer:

Step-by-step explanation:

An easy way to find any percentage of a number is to multiply with decimals. To do this you have to first convert the percentage to a decimal. Do this by moving the decimal point in the percentage 2 places to the left. This means that 2.0% becomes 0.02. Then, multiply this decimal by the whole number. So, 0.02*350. This equals 7, which is 2% of 350.

This same trick will work with any problem. For example 38% of 435 is the same as 0.38*435, which equals 165.3.

6 0

3 years ago

Read 2 more answers

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

4 years ago

Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined,

Licemer1 [7]

Answer:

Given:

g(t) = 5t² − 8t + 3

Find the following

g(2)

g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7

g(t - 2)

g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39

g(t) - g(2)

g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4

3 0

3 years ago

Read 2 more answers