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3 years ago

[4] what is the largest possible area for a right triangle whose hypotenuse is 5cm long, and what are its dimensions? 25

1 answer:

4 0

Let the base and height of the right triangle be b and h respectively.

Then the area of the triangle (which is to be maximized) is

A = bh/2. Draw the triangle with the right angle positioned at the origin, in the first quadrant.

We are told that the hypotenuse is 5 cm. Then

b^2 + h^2 = 25 cm^2 must be true. Alternatively, b = sqrt(25-h^2).

We want to meximize the area of this triangle. In other words, maximize

A = (b)(h)/2, or, equivalently, maximize A = [sqrt(25-h^2)](h)/2.

Maximize A by differentiating the above formula for A with respect to h and finding the critical value for h. Once you have that h value, calculate the corresponding b value and find the max area via A = bh/2.

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Which undefined term is used to define an angle? line plane point ray

Dovator [93]

The answer is point.

3 0

2 years ago

A triangle is 6 centimeters long and 4 centimeters high. What is the area of the triangle?

schepotkina [342]

24cm
You multiply 6*4=24. Hope this helps! Also can u mark brainliest i need one more :)

6 0

2 years ago

Jayana is trying to run a certain number of miles by the end of the month. If Jayana is 30% of the way to achieving her goal and

torisob [31]

Jayana is trying to run 30 miles by the end of the months.

30% / 100% = 9 / x

9 * 100 = 900

900 / 30 = 30 miles

4 0

2 years ago

Whats the value of e? -(4e+7)=1

LekaFEV [45]

Answer:

-2

Step-by-step explanation:

-(4e+7)=1

-4e-7=1

-4e=1+7

-4e=8 divided both side by -4

e=-2

4 0

2 years ago

In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i

kati45 [8]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0

3 years ago