Ask question

Ask question

All categories

3 years ago

14

Is the orthocenter of a triangle on the inside ?

2 answers:

Olegator [25]3 years ago

8 0

It isn’t always in the triangle

likoan [24]3 years ago

7 0

Answer:

It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.

You might be interested in

What is the value of the expression with base 3 and exponent 4?

Brums [2.3K]

Answer:

81

Step-by-step explanation:

$3^{4} = 3*3*3*3 = 81$

6 0

3 years ago

Read 2 more answers

Andrea is making candles to sell for a fundraiser. She spends $50 for the candle molds, and each candle costs $4 for wax and wic

Margaret [11]

hopefully this helps

Step-by-step explanation:

sorry if this not what you are looking for

3 0

3 years ago

An isosceles triangle has a perimeter of 36 inches. Its base is 2

astra-53 [7]

The lengths of the sides of the triangle are 8, 8, 20

Explanation:

Given that the perimeter of an isosceles triangle is 36 inches.

The base of the triangle is $2\frac{1}{2}$ times longer than each of its legs.

We need to determine the lengths of the sides of the triangle.

<u>Lengths of the sides:</u>

Let x denote the lengths of the sides of the triangle.

The base of the triangle is given by

$2\frac{1}{2}x=\frac{5}{2}x=2.5x$

Perimeter of the isosceles triangle = Sum of the three sides of the triangle.

Thus, we have,

$36=x+x+2.5x$

$36=4.5x$

$8=x$

Thus, the length of the sides of the isosceles triangle is 8 inches.

Base of the triangle = $2.5(8)=20 \ inches$

Hence, the three sides of the isosceles triangle are 8, 8, 20

3 0

4 years ago

consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev

Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03$

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0

3 years ago

Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.7

Blababa [14]

The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80

6 0

3 years ago