The length of the base of a triangle is twice it's height. If the area of the triangle is 25 square kilometers, find the height.

Mathematics

1 answer:

N76 [4]3 years ago

5 0

25= h^2
5 =h
Height is 5 km

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alisha [4.7K]

Answer:

a. $x^{2} + 3y^{3}$

b. $3y^{3} -6$

c. $5x -3$

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

$5x^{2} -4x^{2} = 1x^{2} = x^{2}$

(But don't forget the $3y^{3}$ !)

So it is:

$x^{2} + 3y^{3}$

Continue this process for the rest of them

7 0

1 year ago

A study of 35 golfers showed that their average score on a particular course was 92. The sample standard deviation was 5. We wan

svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.