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svp [43]
3 years ago
11

You are putting a fence around a square outdoor stage with an area of 289 square feet. What is the length of one side of the sta

ge?
Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0
17 because the square root of 289 is 17
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In the accompanying diagram, line BD bisects acute angle ABC and line AD is parallel to line BC. What kind of triangle must tria
galina1969 [7]

Answer:

  isosceles

Step-by-step explanation:

With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.

A triangle with two congruent internal angles is an isosceles triangle.

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3 years ago
Two towns are 324 miles apart. on a map they are 4 1/2 apart. the scale of the map is 1
Rom4ik [11]
Shouled be 1:32 if u divide 324/(4.5)
6 0
3 years ago
If (x, y) = (3, 4) is a solution of the simultaneous equations.
Vinvika [58]
The first thing you want to do is plug in x and y into both equations:

a(3) + b(4) = 4

b(3) + a(4) = 8

rearrange to line up a’s and b’s

3a + 4b = 4

4a + 3b = 8

now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.

4(3a + 4b = 4) = 12a + 16b = 16

3(4a + 3b = 8) = 12a + 9b = 24


Now we subtract the bottom equation from the top and solve for b:

12a + 16b - (12a + 9b) = 16 - 24

7b = -8

b = -8/7


Now we plug back in for b to one of the original equations:

3a + 4(-8/7) = 4

3a + (-32/7) = 4

3a - (32/7) = 4

3a = 4 + (32/7)

3a = (28/7) + (32/7)

3a = 60/7

a = (60/7)/3 = 20/7.


Finally, plug a and b in together to double check using the second equation.

4a + 3b = 8

4(20/7) + 3(-8/7) = ?

(80/7) - (24/7) = ?

56/7 = 8.
4 0
2 years ago
One of the psychologist's findings is that 18 months after the workshop, a sample of 49 job seekers who received training on set
IceJOKER [234]

Answer:

The psychologist finds that the estimated Cohen's d is 0.583.

Step-by-step explanation:

The Cohen's d is used to calculate the effect size, appied when a null hypothesis is rejected.

It can be calculated for this case of population mean as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{6.5-5.8}{1.2}=\dfrac{0.7}{1.2}=0.583

The psychologist finds that the estimated Cohen's d is 0.583.

8 0
3 years ago
Programmers want to program a robot so that it moves at a uniform speed along a straight line segment connecting two
kramer

Answer:B

I got it right on my test

Step-by-step explanation:

7 0
3 years ago
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