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miss Akunina [59]
3 years ago
8

The altitude of an equilateral triangle is 4.5 in. Find it's sides.

Mathematics
2 answers:
Mrrafil [7]3 years ago
4 0

Answer:

The length of each side is 3√3 in  or 5.20 in to the nearest hundredth.-

Step-by-step explanation:

The altitude splits up the triangle into two 30-60-90 triangles.

The ratio of the sides of these triangles is 2:1:√3.

The ratio of the altitude to the hypotenuse ( which is the side of the equilateral triangle ) = √3 : 2 so we have the equation:

2  / √3 = h / 4.5  where h is the required side.

h = 2*4.5 / √3

= 9 /√3

= 3 √3

= 5.196 in.

never [62]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the length of each side be x. We can divide the triangle into two to get two right angled triangles which side will be x (hypotenuse), 4.5 (height), x/2 for base.

Using Pythagoras's theorem

x² = 4.5² + (x/2)²

x² = 81/4 + x²/4

x² - x²/4 = 81/4

3/4x² = 81/4

x² = 27

x = √27 = 3√3 in

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rjkz [21]

Answer:

\left[\begin{array}{ccc}9\\10\\\end{array}\right]

Step-by-step explanation:

Evaluate 3a by multiplying each element by 3

3a = 3 \left[\begin{array}{ccc}2\\4\\\end{array}\right] = \left[\begin{array}{ccc}3(2)\\3(4)\\\end{array}\right] = \left[\begin{array}{ccc}6\\12&\\\end{array}\right], then

3a + b

= \left[\begin{array}{ccc}6\\12\\\end{array}\right] + \left[\begin{array}{ccc}3\\-2\\\end{array}\right] ← sum corresponding elements

= \left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right]

= \left[\begin{array}{ccc}9\\10\\\end{array}\right]

8 0
3 years ago
rachel has a collection of 40 stuffed animals . of the stuffed animals 3/8 are bears and 1/5 are dogs the rest are other animals
AveGali [126]
# of Bears = (3/8)×40 = 15

# of Dogs = (1/5)×40 = 8

# of Other Animals = 40 - 15 - 8 = 17

She has 17 other animals
4 0
3 years ago
(06.05 MC)
3241004551 [841]

Answer:

C (the third one)

Step-by-step explanation:

Its probably right

6 0
3 years ago
Read 2 more answers
A circle is drawn with a center at point C. A line segment, AB, is drawn representing a diameter of the circle.
Bond [772]
The correct answer is B

Since a diameter splits the circle in half, then the arc will be half of 360 degrees or 180 degrees

Hope this helps
7 0
3 years ago
Read 2 more answers
Suppose we take repeated random samples of 50 college students from the same population and determine a 95% confidence interval
zzz [600]

Answer:

B. The intervals are centered around the sample mean GPA.

D. 95% of the intervals will contain the population mean in the long run.

Step-by-step explanation:

Confidence interval:

Depends on two things: The sample mean and the margin of error.

Lower end: Sample mean - margin of error

Upper end: Sample mean + margin of error

This means that the intervals are centered around the sample mean.

x% level:

x% of the intervals will contain the population mean in the long run.

So the true statements are:

B. The intervals are centered around the sample mean GPA.

D. 95% of the intervals will contain the population mean in the long run.

3 0
3 years ago
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