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3 years ago

Wesley sailed his boat north for 18 miles then due east for another 18 miles approximately how far is Wesley from where he began

Mathematics

2 answers:

True [87]3 years ago

5 0

18 miles north
+18 miles east
=36 miles northeast

Dennis_Churaev [7]3 years ago

4 0

Answer:

Wesley is approximately 25.46 miles far from where he began

Step-by-step explanation:

Distance by which the boat is sailed in North = 18 miles

Distance by which the boat is sailed east = 18 miles.

So, The distance traveled by him is in the form of right angled and to find the distance between finial and initial position, we need to calculate the hypotenuse side.

⇒ Hypotenuse² = 18² + 18²

= 324 + 324 = 25.46 miles.

Hence, Wesley is approximately 25.46 miles far from where he began

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The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not c

Step2247 [10]

The side lengths could be 10, 24 and 26 units.

We must first find the side lengths. We use the distance formula to do this.

For RT:
$d=\sqrt{(11--1)^2+(-1--1)^2}
\\=\sqrt{(11+1)^2+(-1+1)^2}
\\=\sqrt{12^2+0^2}=\sqrt{144}=12$

For ST:
$d=\sqrt{(11-11)^2+(4--1)^2}
\\=\sqrt{0^2+(4+1)^2}=\sqrt{5^2}=\sqrt{25}=5$

For TR:
$d=\sqrt{(11--1)^2+(4--1)^2}
\\=\sqrt{(11+1)^2+(4+1)^2}=\sqrt{12^2+5^2}=\sqrt{144+25}=\sqrt{169}=13$

Our side lengths, from least to greatest, are 5, 12 and 13.

To be similar but not congruent, the side lengths must have the same ratio between corresponding sides but not be the same length. 10, 24 and 26 are all 2x the original side lengths, so this works.

5 0

3 years ago

please help me with questions 15 and 16 please. Will give brainilist to the person who gives the answer and how they did it

agasfer [191]

15: 4.71 ft

16: 62:83 cm

4 0

3 years ago

P^2 - 4p - 32 / p + 4, simplify the rational expression. state any restrictions

dusya [7]

Answer:

The correct answer is: p - 8 ∧ restriction p ≠ -4

Step-by-step explanation:

(p² - 4 p - 32) / ( p + 4)

The existence of this rational algebraic expression is possible only if it is:

p + 4 ≠ 0 => Restriction is p ≠ -4

(p² - 4 p - 32) / ( p + 4) = (p² - 8 p + 4 p - 32) / (p + 4) =

= (p (p -8) + 4 (p -8)) / (p + 4)= (p - 8) (p + 4) / ( p +4) = p - 8

God with you!!!

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3 years ago

Read 2 more answers

The difference between a number x and 3 is no more than 2

Vlad [161]

Answer:

x -3 ≤ 2
x ≤ 5

Step-by-step explanation:

"The difference between A and B" means "A - B". "Is no more than" means "is less than or equal to." Applying these translations to your statement gives ...

x - 3 ≤ 2

Adding 3 to both sides of this inequality tells you its solution:

x ≤ 5

4 0

2 years ago

Read 2 more answers

A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hy

Shkiper50 [21]

Answer:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

Step-by-step explanation:

State the null and alternative hypotheses to be tested

On this case we can assume that the researcher conduct a one right tailed test hypothesis like on this way:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

The statistic for this case is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

On this case we have the value for z score given z =+1.85

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05,0.01$ . The next step would be calculate the p value for this test.

Since is a one right tail test the p value would be:

$p_v =P(z>1.85)=1-P(Z$

If we compare the p value obtained and the significance level given $\alpha=0.05,0.01$ we can take a decision:

A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.

YES, since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level. And for the significance level 0.05 we have that $p_v$ and we can reject the null hypothesis.

B) The researcher should reject the null hypothesis with either a = .05 or a = .01.

No since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level

C) The researcher should fail to reject H0 with either a = .05 or a = .01.

No, for the significance level of 0.05 we reject the null hypothesis since $p_v$

D) This cannot be answered without additional information.

No, we have enough info to answer the question

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3 years ago