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3 years ago

The triangles of below are similar

Mathematics

2 answers:

Dahasolnce [82]3 years ago

6 0

As we know that

Two triangles are said to be similar if the ratios of their corresponding sides are equal.

Here the two given triangles are similar .

Hence the ratios of their sides will be equal , so we can write

$\frac{22}{10}=\frac{33}{y} \\ \\ y=\frac{10}{22}*33\\ \\ y=5*3=15\\ \\ Also \ we \ can \ write \ \\ \\ \frac{22}{x}=\frac{10}{12}\\ \\ x=\frac{12}{10}*22\\ \\ x= \frac{132}{5}$

tankabanditka [31]3 years ago

5 0

Hello!

As these triangles are similar, the ratios of the corresponding side lengths are the same. According to the 22 and 10, the larger triangle seems to be 2.2 times larger than the orange one.

To find y, we can divide 33 by 2.2 as they are corresponding.

33/2.2=15

Therefore, y=15

I hope this helps!

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A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl

cricket20 [7]

Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

2) $df=n-1=8-1=7$

Since is a one sided test the p value would be:

$p_v =P(t_{(7)}>2.233)=0.0304$

3) For this case is we use a significance level of 1% or 99% of confidencewe see that $p_v >\alpha$ and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance $\alpha=0.05$ or 95% of confidence we see that $p_v$ and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=6.5$ represent the sample mean

$s=1.9$ represent the sample standard deviation

$n=8$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1: State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

If we analyze the size for the sample is <30 and 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)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233$

Part 2: P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=8-1=7$

Since is a one sided test the p value would be:

$p_v =P(t_{(7)}>2.233)=0.0304$

Part d: Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that $p_v >\alpha$ and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance $\alpha=0.05$ or 95% of confidence we see that $p_v$ and we have enough evidence to conclude that the specification is satisfied.

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3 years ago

The lengths of two sides of triangle are given. Determine the range for the possible lengths of the third side

Elodia [21]

Answer:

here is the answer to this question

Step-by-step explanation:

what you need to do for the range is subtraction the highest to lowest numbers that are on that triangle and then thats your answer

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What is being constructed based on the markings in the following diagram?

Liula [17]

Answer:

perpendicular line through a point on a line

Step-by-step explanation:

The circle centered at C seems intended to produce point D at the same distance as point B. That is, C is the midpoint of BD.

The circles centered at B and D with radius greater than BC seems intended to produce intersection points G and H. (It appears accidental that those points are also on circle C. As a rule, that would be difficult to do in one pass.)

So. points G and H are both equidistant from points B and D. A line between them will intersect point C at right angles to AB.

Segment GH is perpendicular to AB through point C (on AB).

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kirill115 [55]

Answer:

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Step-by-step explanation:

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3 years ago

Solve for x.

Ivahew [28]

ANSWER

$x=\frac{2-\sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

We have

$3x^2-4x-2=0$

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

$3x^2-4x=2$

Dividing through by 3 gives

$x^2-\frac{4}{3}x= \frac{2}{3}$

Adding $(-\frac{2}{3})^2$ to both sides gives

$x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2$

The expression on the Left Hand side is a perfect square.

$(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}$

$\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}$

$\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}$

$\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}$

Splitting the plus or minus sign gives

$x=\frac{2- \sqrt{10}} {3}$

or

$x=\frac{\sqrt{10}+2} {3}$

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3 years ago

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