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4 years ago

Which term best describes the point where the three altitudes of a triangle intersect

Mathematics

2 answers:

Pepsi [2]4 years ago

8 0

Answer: orthocenter :)

kolezko [41]4 years ago

7 0

Hi!

The point where the three altitudes of a triangle intersect is called the orthocenter.

Altitudes are lines which pass through the the vertex of a triangle, and bisect the other side.

There are three other points like an orthocenter; an incenter, a circumcenter, and a centroid. They're where the angle bisectors, the perpendicular bisectors, and the medians of a circle intersect, respectively.

Hope this helped!

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A college uses the formula T(c)=4000+95c to determine the quarterly tuition, T, to charge students taking c credits.

Trava [24]

Answer:

a) y-intercept is 4000

b)T(18)=5710

Step-by-step explanation:

a) This is the equation of a line with slope 95 and y-intercept 4000.

The y-intercept represents the basic amount the student has to pay even if not taking any unit: $4000

b) T(18) represents the total amount to be paid by a student who is taking 18 units: T(18) = 4000 + 95*18 = 4000 + 1710 = 5710

So a total tuition of $5710

3 0

3 years ago

Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard deviation of 3.5 inches. What percent

SVEN [57.7K]

Answer:

C. 59.01%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 52, \sigma = 3.5$

What percentage of fourth graders are between 50 inches and 56 inches?

This is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

X = 56

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{56 - 52}{3.5}$

$Z = 1.14$

$Z = 1.14$ has a pvalue of 0.8729

X = 50

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{50 - 52}{3.5}$

$Z = -0.57$

$Z = -0.57$ has a pvalue of 0.2843.

0.8729 - 0.2843 = 0.5886, which is close to 59.01%.

So the correct answer is:

C. 59.01%

7 0

3 years ago

The length of the major axis of the ellipse is 13 what is the sum of the lengths of the red and blue line segments

slavikrds [6]

It shows the answer on the web if u search it

3 0

4 years ago

Read 2 more answers

What is the area of the parallelogram?<br> 48 sqrt3 cm^2<br> 48 cm^2<br> 24 sqrt3 cm^2<br> 24 cm^2

Salsk061 [2.6K]

The area of a parallelogram is base times height.

We can find the height by deriving a right triangle from the 60 degree angle and the 6 cm hypotenuse

sin(60°) = opp/hyp = x/6
√3/2 = x/6 Multiply both sides by 6
3√3 = x
x = 3√3

The height is 3 √3

Area = base x height
Area = 3√3 * 8
Area = 24 √3 cm²

Answer is C) 24 √3 cm²

3 0

3 years ago

De que otra manera puedo escribir z diferente a 7

kirza4 [7]

Puede ser el 2 creo pero espera a q algien más responda

3 0

3 years ago