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2 years ago

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?

Mathematics

1 answer:

Artist 52 [7]2 years ago

5 0

Answer:c

options A and B

Step-by-step explanation:

the ratio between the lengths of the two legs of a 30-60-90 triangle

General ration of 30-6- 90 degrees triangle is

x : xsqrt(3) : 2x

When x=1 the ratio becomes 1 : 1 sqrt(3)

when x= 2sqrt(3) the ratio becomes

It becomes

Two sides of 30-60-90 triangle cannot be equal

so option c and option D are not possible

sqrt(2) is also not possible because we have sqrt(3) in general ratio

PLS MARK ME AS BRAINLIEST.

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The table displays the number of students in each grade at Richmond High School who will or will not be attending the amusement

Pani-rosa [81]

Answer:

$P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$

Step-by-step explanation:

We are given a joint probability table.

There are four different graders in a school

1. Grade Ninth

2. Grade Tenth

3. Grade Eleventh

4. Grade Twelfth

Field trip refers to the students who will attending the amusement park field trip.

No field trip refers to the students who will not be attending the amusement park field trip.

We want to find out the probability that the selected student is an eleventh grader given that the student is going on a field trip.

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)}$

Where P(eleventh and FT) is the probability of students who are in eleventh grade and will be going to field trip

$P(eleventh\: and \: FT) = \frac{13}{92} \\\\P(eleventh \: and \: FT) = 0.1413$

Where P(FT) is the probability of students who will be going to field trip

$P(FT) = \frac{12}{92} + \frac{9}{92} + \frac{13}{92} + \frac{19}{92}\\\\P(FT) = 0.1304 + 0.0978 + 0.1413 + 0.2065\\\\P(FT) = 0.576 \\\\$

So the required probability is

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)} \\\\P( eleventh\: \: |\: \: FT)= \frac{0.1413}{0.576} \\\\P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$

6 0

3 years ago

Question 1

Arada [10]

We have that

question 1
Add or subtract.
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3

the answer is the option
B: m2 + 10m3

Question 2:
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3

the answer is the option
B: 8a3 + 6a2 − 7a + 3

Question 3:
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.

we have that
[the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30

the answer is the option
C: −0.03x2 + 6x + 30

7 0

4 years ago

of the total number of pages in a book, 62% have pictures and the rest have no pictures. There are 310 pages with pictures in th

Dmitry [639]

The answer is that: there is 62% of 310? The answer is 186 pages.

4 0

4 years ago

Brad and Don went to the mall together. Brad spent $18 on food. Don spent twice the amount of money that Brad spent.

Irina18 [472]

Answer:

a). x=18x2

18x2=36

Don spent 36 dollars.

b). x=36x0.3

36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.

6 0

3 years ago

Solve for x 45 degrees 90 degrees 65 degrees 85 degrees

Mrrafil [7]

Answer:

x = 45

Step-by-step explanation:

x and (90 - x) are alternate exterior angles and are congruent , then

x = 90 - x ( add x to both sides )

2x = 90 ( divide both sides by 2 )

x = 45

5 0

1 year ago

Read 2 more answers