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3 years ago

Im trying to figure out how to find the length of an equilateral triangle

Mathematics

1 answer:

gulaghasi [49]3 years ago

7 0

All 3 sides of an equilateral triangle are the same.

Set up an equation with two sides equaling each other and solve for n:

2n +15/4 = 7n

Subtract 2n from both sides:

15/4 = 5n

Divide both sides by 5:

n = (15/4) / 5

n = 3/4

Now you have a value for n, replace n and solve for the length:

7n = 7(3/4) = 21/4 = 5 1/4

Each side is 5 1/4

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A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample

suter [353]

Answer:

The expected frequency for the cell E2,2 is = 33

Step-by-step explanation:

The given data is

Gender | 0-30| 30-60| 60-90| 90+ Totals

Male | 23 | 35 | 76 | 46 180

Female | 31 | 42 | 46 | 16 135

Totals 54 77 122 62 315

The expected frequency for the cell E2,2 is :

Expected for the (30-60 box for females) = Total of (30-6)/ (total )* females

= ( 77/315)135= 33

Here p= 77/315 and n= 135

therefor X= pn = 33

χ²= (33-42)²/33= 2.455 ( for the single value of E2,2=33)

Expected for the (30-60 box for males) = Total of (30-6)/ (total )* males

= ( 77/315)180= 44

χ²= (44-42)²/44= 0.09

The critical region is χ² (0.05) 3 ≥ χ²= 11.34

Let the null and alternate hypothesis be

H0:the number of minutes spent online per day is not related to gender

against

Ha: the number of minutes spent online per day is related to gender

The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.

6 0

2 years ago

2.4x-9 < 1.8x+6 solve the inequality

nasty-shy [4]

Answer:

x<25

Step-by-step explanation:

Let's solve your inequality step-by-step.

2.4x−9<1.8x+6

Step 1: Subtract 1.8x from both sides.

2.4x−9−1.8x<1.8x+6−1.8x

0.6x−9<6

Step 2: Add 9 to both sides.

0.6x−9+9<6+9

0.6x<15

Step 3: Divide both sides by 0.6

0.6x/0.6 < 15/0.6

x<25

8 0

3 years ago

Which is the graph of f(x) = -(x + 3)(x + 1)?

ch4aika [34]

Answer:

Step-by-step explanation:

x intercepts are -3,-1

f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3

or f(x)=-(x+2)²+1

vertex is (-2,1)

so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)

3 0

3 years ago

A neon light flashes five times every 10 seconds. Show that the light flashes 43 200 times in one day.

11Alexandr11 [23.1K]

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

60 seconds x 60 minutes = 3,600 seconds per hour

3,600 seconds per hour x 24 hours = 86,400 seconds per day.

The light flashes 5 times every 10 seconds:

5 flashes / 10 seconds = 1 flash every 2 seconds

86,400 seconds / 2 seconds = 43,200 flashes per day.

4 0

2 years ago

a garden is in the shape of a rectangle 35 feet long and 29 feet wide. if fencing cost $7 a foot, what will it cost to plate fen

miskamm [114]

It would cost $896 to plate fencing around the garden

4 0

3 years ago