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Margaret [11]
2 years ago
3

The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. A solid oblique pyramid has an eq

uilateral triangle base with an edge length of s units. Which expression represents the height of the triangular base of the pyramid? Five-halves StartRoot 2 EndRootunits Five-halves StartRoot 3 EndRootunits 5 StartRoot 2 EndRootunits 5 StartRoot 3 EndRootunits

Mathematics
2 answers:
mezya [45]2 years ago
8 0

Answer:

the height of the triangular base of the pyramid is Five-halves StartRoot 3 EndRootunits = (5/2)√3 units

Step-by-step explanation:

An image of the sketch of the equilateral triangle is attached to this solution.

The height of the equilateral triangle base of the pyramid divides the equilateral triangle into two equal parts as shown in the image. And it also dimensions the bottom side into two equal parts of 5/2 units each.

Let this height be called h

Using Pythagoras theorem,

5² = h² + (5/2)²

s² = h² + (s

5²/4)

h² = 5² - (5²/4)

h² = 75/4

h = √(75/4)

h = (5/2)√3 units

Hope this Helps!!!

Bad White [126]2 years ago
6 0

Answer:

b on e2020

Step-by-step explanation:

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For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather.
lyudmila [28]

Answer:

0.335

Step-by-step explanation:

1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.

2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.

3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)

Delayed of icy weather - 0.3

Delayed of MP when weather is not icy - 0.7·0.05=0.035

Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is

0.3+0.035=0.335

8 0
2 years ago
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side Line segment
prisoha [69]

Answer:

<h2>A  16mm</h2>

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its sides equal.

Perimeter of an equilaterial triangle = 3s where;

s is one side of the triangle.

Given the perimeter of ABC = 96mm

Substituting into the formula above to get s;

96 = 3s

s = 96/3

s = 32mm

Hence the length of one side of the triangle is 32mm

If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.

Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm

MC = 1/2 * 32mm

MC = 16mm

<em>Hence the length of Line segment MC is 16mm</em>

<em></em>

5 0
2 years ago
Read 2 more answers
Which value of a would make the expression 5 1/3 ÷ 4/a equivalent to a whole number?
nordsb [41]

Answer:

a is any number that is multiples of 3

3, 6, 9, 12, etc...

Step-by-step explanation:

5 1/3 ÷ 4/a

16/3 * a/4

16a/12

\frac{4}{3} a

since denominator is 3, a can be any whole number that is a multiple of 3

\frac{4}{3}(3) = 4

\frac{4}{3}(6) = 8

\frac{4}{3}(9) = 12

so on and so on....

8 0
2 years ago
The exponential distribution can be used to solve Poisson-type problems in which the intervals are not time. The Air Travel Cons
frutty [35]

Answer:

a) P(X \ge 490) = 0.628

b) P(X \leq 190) = 0.165

Step-by-step explanation:

a) This is an exponential distribution question since it is a poisson type problem

Mean rate is 0.95 per 1000 passengers

Mean rate, \lambda = 0.95/1000

\lambda = 0.00095 per passenger

Probability that at least 490 passengers will have their baggage handled properly before the next mishandling occurs :

P(X \ge x) = e^{- \lambda x}

P(X \ge 490) = e^{-490 * 0.00095}

P(X \ge 490) = e^{-0.4655}\\P(X \ge 490) = 0.628

b)  Probability that the number will be fewer than 200 passengers

P(X \leq 190) = 1 - P(X \geq 190)\\P(X \leq 190) = 1 - e^{-190 \lambda} \\P(X \leq 190) = 1 - e^{-190 *0.00095}

P(X \leq 190) = 1 - 0.835\\P(X \leq 190) = 0.165

8 0
2 years ago
Which is a true statement about the line x − 4y = 8?
Vedmedyk [2.9K]
The y-intercept of the line is (0, -2), the x-intercept is (8, 0). the slope of the line is in fact 1/4

so your answer is C.

hope this helps, God bless!
8 0
2 years ago
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