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3 years ago

In a 30-60-90 triangle, the length of the hypotenuse is 30. Find the length of the shorter leg

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer:

Option A is right

Step-by-step explanation:

Given is a triangle (right angled) with other degrees as 30 and 60.

The length of hypotenuse = 30

We have to find the length of shorter leg.

We know that in a 30-60-90 triangle, the length of shorter side is always half the length of the hyptenuse.

In 30-60-90 triangle, opposite side of smaller angle/hypotenuse =1/2

Using the above we get

the shorter side = 1/2 (hypotenuse) = 1/2(30) = 15

Hence answer is 15

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Rama09 [41]

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3 years ago

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The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,

Grace [21]

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

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3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago

Find 16% of 370. Round to the nearest 10th if necessary.

svetoff [14.1K]

Multiply 370 by 0.16 get get 16%

370 x 0.16 = 59.2%

8 0

3 years ago

Please help me thank you

laila [671]

Parallel lines have the same slope. The equation of the parallel line is therefore:

y = x + b

Plug in the values you are given to find b:

2 = -3 + b

b = 5

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3 years ago