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Paul [167]
3 years ago
10

PLEASE HELP! TRIG! Find the area of the triangles

Mathematics
1 answer:
Maslowich3 years ago
7 0

Answer:

47.91 units²

Step-by-step explanation:

This can be solved using Heron's triangle (see attached)

in this case, your lengths are

a = 3+9=12

b=3+5=8

c=5+9=14

Hence,.

S = (1/2) x (a + b + c) = (1/2) (12+8+14) = 17

(s - a) = 17 -12 = 5

(s - b) = 9

(s - c) = 3

Area = √ [  s (s-a) (s-b) (s-c) ]

= √ [  17 x 5 x 9 x 3 ] = √2295 = 47.9061 = 47.91 units² (rounded to nearest hundreth)

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A study of commuting times reports the travel times to work of a random sample of 1010 employed adults in Chicago. The mean is x
MrMuchimi

Answer:

standard error of the mean = 1.6960

Step-by-step explanation:

Given -

Mean (\overline{X}) = 53 minutes

Standard deviation ( s ) = 53.9 minutes

n = 1010

standard error of the mean  =  

\sigma _{\overline{X}}    =   \frac{s}{\sqrt{n}}

        = \frac{53.9}{\sqrt{1010}}

       =  1.6960

3 0
3 years ago
in her first 4 games jill averaged 4 points per game. in her next 6 games jill averaged 9 points per game. what was her average
bogdanovich [222]
Number of points Jill scored in the first 4 games = 4 * 4 = 16
number of points Jill scored in the first 4 games = 6 * 9 = 54

total points Jill scored in 10 games 16 + 54 = 70

the average number of points after 10 games = 70 / 10 = 7 points
8 0
3 years ago
on a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the citie
miss Akunina [59]

The cities are 12.2 miles apart

<u>Step-by-step explanation:</u>

The scale of the map is,

5cm = 10 miles

The distance between the 2 cities in map is 6.2 cm

The actual distance between the 2 cities = (6.2 x 10) / 5

= 62/5

= 12.4

The 2 cities are 12.4 miles apart.

8 0
3 years ago
What is the ratio of girls to boys if there are 15 girls and 5 boys?
WINSTONCH [101]
The answer is 15 : 5

because In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
And you said girls : boys

That means 15 : 5 or 15 to 5
8 0
4 years ago
Read 2 more answers
50 Points:
kodGreya [7K]

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)

4 0
3 years ago
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