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3 years ago

Given two regular shapes, find the sum of the pink angles

Mathematics

1 answer:

son4ous [18]3 years ago

4 0

Answer:

180

Step-by-step explanation:

that is my answer it will help you

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What is the cost of 109 marbles if each cost 4 cents

lyudmila [28]

We can multiply those two numbers and it will give you $4.36

6 0

3 years ago

Read 2 more answers

In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order de x'' + x = 0. find a solut

nordsb [41]

If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.

The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have

$x(t) = c_1 \cos(t) + c_2 \sin(t) \implies x(0) = c_1 \cos(0) + c_2 \sin(0) = c_1$

But we want $x(0)=-1$ , which implies $x(0)=c_1=-1$

So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for $c_1$ ).

We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:

$x(t) = -\cos(t) + c_2 \sin(t) \implies x'(t) = \sin(t) + c_2\cos(t)$

$x'(0) = \sin(0) + c_2\cos(0) = c_2$

And as before, since $x'(0)=c_2$ and we want $x'(0)=3$ , we deduce $c_2=3$ .

So, once we fix both coefficients, the general solution becomes

$x(t) = c_1 \cos(t) + c_2 \sin(t) \mapsto -\cos(t)+3\sin(t)$

3 0

3 years ago

A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed below are the amounts of m

nignag [31]

Answer:

Confidence Interval: (0.44,1.00)

Step-by-step explanation:

We are given the following data set:

0.60, 0.74, 0.09, 0.89, 1.31, 0.51, 0.94

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{:5.08}{7} = 0.725$

Sum of squares of differences = 0.8809

$S.D = \sqrt{\frac{0.8809}{6}} = 0.383$

90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 6 and}~\alpha_{0.10} = \pm 1.943$

$0.725 \pm 1.943(\frac{0.383}{\sqrt{7}} ) =0.725 \pm 0.2812 = (0.44,1.00)$

No, it does not appear that there is too much mercury in tuna sushi.

5 0

4 years ago

Formula in the form y=mx+b models the value, y, of a new car x years after the initial purchase in 2010. Would you expect b to b

Tom [10]

Answer:

positive

Step-by-step explanation:

The equation of a line modeling the price of a car over the years from its initial purchase is to be a line with negative slope "m" due to the fact that the price of the car drops with the years, but for sure the price at the time of purchase (which is the zero in the horizontal x-axis) should be the largest value the car would have (the purchase price) This is actually the y-intercept "b", clearly a positive number.

4 0

3 years ago

Find the measure of angle ABD

Brut [27]

Answer:

137

Step-by-step explanation:

The sum of all three angles; <ABC, <ABD, and <CBD is equal to 360

now we know <ABC = 118 and

the measure of central angle <CBD is equal to measure of the arc it sees so it's = 105

we are asked to find the m<ABD

118 + 105 + <ABD = 360 add like terms

223 + <ABD = 360 subtract 223 from both sides

m<ABD = 137

5 0

2 years ago