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Viktor [21]
3 years ago
6

In a right triangle the lengths of the legs are a and b. Find the length of a hypotenuse, if: a=3, b=4;

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

The hypotenuse is 5

Step-by-step explanation:

We can use the Pythagorean theorem to find the hypotenuse of a right triangle

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

3^2 +4^2 =c^2

9+16=c^2

25=c^2

Take the square root of each side

sqrt(25) =sqrt(c^2)

5 = c


Lady bird [3.3K]3 years ago
4 0

Answer:

<h3>hypotenuse = 5</h3>

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

a, b - legs

c - hypotenuse

We have the lengths of the legs a = 3 and b = 4. Substitute:

c² = 3² + 4²

c² = 9 + 16

c² = 25 → c = √25

c = 5


Pythagorean triple:

3, 4, 5

6, 8, 10

5, 12, 13

and more.

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
nikitadnepr [17]

Answer:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

Build time (hours) = 4c + 6a = 120

Test time (hours) = 4c + 4 a = 100

Where c represents the number of child bikes and a represents adult bikes.

So, for 20 child bikes and 6 adult bikes:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6965 subjects randomly sele
vladimir1956 [14]

The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
Sample size (n) = 6965

Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

The test statistics for this data can be computed as:

\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

\mathbf{z = \dfrac{-0.0131}{0.0047929}}

z = -2.73

From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

P-value = P(Z ≤ - 2.73)

By using the Excel function =NORMDIST (-2.73)

P-value = 0.00317

P-value ≅ 0.003

Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

Learn more about hypothesis testing here:

brainly.com/question/15980493

#SPJ1

3 0
2 years ago
Please help!!! what is the value of x?
nika2105 [10]

Answer:

x=1

Step-by-step explanation:

Look at the bottom of the triangle you will see that 1 = x

4 0
3 years ago
The endpoints of on are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line on.
Naddika [18.5K]
<span>y = -1/2x +2 1/2</span>
General equation;
y = mx + c

Calculating the slope;
Change in y/ (change in x) = gradient m

(2-1)/(1-3) = - 1/2

Replacing m gives;
y= -1/2x + c

Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
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Equation then is 
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7 0
3 years ago
Express the following as ratio 15 minutes to 3 hours​
mario62 [17]

Answer:

15 mintues/ 3 hours

Step-by-step explanation:

7 0
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