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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

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Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Shkiper50 [21]

X° = 180° - 160°
= 20°
x = 20

7 0

3 years ago

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

6 0

3 years ago

Evaluate the expression and enter your answer in the box below |98|

olganol [36]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate $\pmb{|98|}$ .

$\triangle~\fbox{\bf{KEY:}}$

The notation |x| denotes absolute value.

The absolute value of a number is its distance from zero.

Absolute value is always positive; distances can't be negative, right?

So we need to find the absolute value of 98, which is:

$\star~\star\mathrm{98}~\star~\star$

$\ddot\bigstar$ Remember this...

$\fbox{The\;absolute\;value\;is\;a\;number's\;distance\;from\;zero}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

3 0

2 years ago

8. Terry, a plumber, worked 9 months out of the year. What percent of the year

Burka [1]

Answer:

25%

Step-by-step explanation:

9/12 = 3/4

1/4 (the months he wasn't working) = 25%

3 0

3 years ago

Read 2 more answers

Find the area of the trapezoid to the nearest tenth.

erica [24]

Answer:

2.2 metres squared

Step-by-step explanation:

We need to find the area of this trapezoid.

The area of a trapezoid is denoted by:

$A=\frac{(b_1+b_2)h}{2}$ , where $b_1$ and $b_2$ are the parallel bases and h is the height

Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.

Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:

2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4

Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:

$A=\frac{(b_1+b_2)h}{2}$

$A=\frac{(0.9+2.3)*1.4}{2}=2.2$

The answer is thus 2.2 metres squared.

<em>~ an aesthetics lover</em>

8 0

3 years ago