All categories

3 years ago

Solve A = a+b/2 for b

Mathematics

2 answers:

jeka943 years ago

6 0

Answer:

Step-by-step explanation:

I'm not sure if the right side is $\frac{a + b}{2}$ or $a + \frac{b}{2}$ , so I'll provide an answer for both:

$A = \frac{a + b}{2}$

$2A = a + b$

$2A - a = b$

$A = a + \frac{b}{2}$

$A - a = \frac{b}{2}$

$2(A - a) = b$

$2A - 2a = b$

Brums [2.3K]3 years ago

3 0

A = a +b/2
A -a =b/2
2(A-a) = b

You might be interested in

A simple random sample of size nequals17 is drawn from a population that is normally distributed. The sample mean is found to be

IRINA_888 [86]

Answer:

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

Step-by-step explanation:

Step(i):-

Given random sample of size 'n' =17

Given mean of the sample 'x⁻' = 56

Given standard deviation of sample 's' = 10

95% confidence intervals about the population mean is determined by

$(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )$

Degrees of freedom

ν = n-1 = 17-1 =16

t₀.₀₅ = 1.7459 (from t-table)

Step(ii):-

95% confidence intervals about the population mean is determined by

$(x^{-} - t_{0.05} \frac{s}{\sqrt{n} } ,x^{-} + t_{0.05} \frac{s}{\sqrt{n} } )$

$(56 - 1.7459 \frac{10}{\sqrt{17} } ,56 + 1.7459 \frac{10}{\sqrt{17} } )$

( 56 - 4.2344 , 56 + 4.2344)

(51.7656 , 60.2344)

Conclusion:-

95% confidence intervals about the population mean is

(51.7656 , 60.2344)

4 0

3 years ago

3. Why is it not possible to make the following triangle?

barxatty [35]

Answer:

Its C cause if you add them you get 192

Step-by-step explanation:

7 0

3 years ago

What is the difference (9*10^10)-(4^10^10) in scientific notation

Darina [25.2K]

9*10^10 - 4*10^10 = 5*10^10
All you have to do is subtract 4 from 9, since the powers are the same

4 0

4 years ago

A base ball diamond is square.The distance from home plate to first base is 90 feet.what is the distance from home plate to seco

Elena-2011 [213]

Because it is square, the distance from home to first base is the same as first base to second base.

Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.

Using the Pythagorean Theorem we can solve for the hypotenuse:

Let C = the hypotenuse:

90^2 + 90^2 = c^2

8100 + 8100 = c^2

16200 = c^2

c = √16200

c = 127.279 feet, round to 127 feet.

7 0

3 years ago

9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.

masya89 [10]

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y = -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

k = -3

7 0

3 years ago