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3 years ago

Find the radian measure of an angle of 110º.

Mathematics

2 answers:

Lisa [10]3 years ago

7 0

Answer:

The angle of 110º in radian meausre is 0.61π

Step-by-step explanation:

Given : an angle of 110º.

We have to write the angle of 110º in radian meausre.

Consider the given angle of 110º.

To convert angle from degree meausre to radian measure , we multiply the given degree measure by $\frac{\pi}{180^{\circ}}$

To convert 110º to radian measure , we have,

$110^{\circ}\times \frac{\pi}{180^{\circ}}=0.61\pi$

Thus, The angle of 110º in radian meausre is 0.61π

dimulka [17.4K]3 years ago

4 0

For the radian measure:
180° = π radians
180° : 110° = 11 / 18 ≈ 0.611
Answer:
110° = 11π/18 rad ≈ 0.611 rad

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2 years ago

The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

Ann [662]

Answer:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

Step-by-step explanation:

Data given and notation

$\bar X=1.20$ represent the sample mean given

$\sigma = 0.14$ represent the population standard deviation

$n=49$ sample size

$\mu_o =1.25$ represent the value that we want to test

t would represent the statistic (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:

Null hypothesis: $\mu \geq 1.25$

Alternative hypothesis: $\mu < 1.25$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50$

5 0

3 years ago

593,204 rounded to the nearest million

Romashka [77]

The answer is 1,000,000

6 0

3 years ago

Please help me with this question

Vinvika [58]

Tan(angle) = opposite/adjacent
tan(x) = 90/51
x = arctan(90/51)
x = 60.461217740442
which rounds to 60 when rounding to the nearest whole number

Answer: 60

3 0

2 years ago

Find the indicated sum of each sequence S8 of -2,-13,-24,-35

valentina_108 [34]

Answer:

The sum of the arithmetic sequence is $S_{8}=-324$ .

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is $a_1$ and the common difference is d, then the nth term of the sequence is given by:

$a_{n}=a_{1}+(n-1)d$

For the sequence

$-2,-13,-24,-35,...$

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, $a_1$ and last term, $a_n$ , divide by 2 in order to get the mean of the two values and then multiply by the number of values, n

$S_{n}=\frac{n}{2}(a_{1}+a_{n})$

The sum of the arithmetic sequence is

$a_{8}=-2+(8-1)(-11)=-2-77=-79$

$S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324$

3 0

3 years ago