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TiliK225 [7]
3 years ago
13

Select the correct answer. Solve the equation for x in terms of c. 2/3(cx + 1/2) - 1/4 = 5/2​

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

x = 29/8c

Step-by-step explanation:

2/3(cx+1/2) - 1/4+ 1/4 = 5/2+1/4

2/3(cx+1/2) = 11/4

1/3(cx+1/2) = 11/4 / 2

cx/3 + 1/2/3 = 11/4/2

cx/3 + 1/2*3 = 11/4/2

cx/3 + 1/6 = 11/4/2

cx/3 + 1/6 = 11/4*2

cx/3 + 1/6 = 11/8

cx/3 = 11/8 - 1/6

cx/3 = 29/24

cx = 29/24 * 3

x = 29/8 / c

x = 29/8c

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Type the correct answer in each box. Spell all words correctly.
pogonyaev

Answer:

Charlie is incoerre

Step-by-step explanation:

Given that :

Line of sight to top of flagpole = 16 feets

Angle of elevation = 60°

The height of the flagpole :

Applying trigonometry to the drawing in the attached picture :

We use:

Sinα = opposite / hypotenus

This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)

Sin(60°) = h / 16

h = 16 * sin 60

h = 16 * 0.8660254

h = 13.856406

Hence flagpole is about 13.86 feets high

Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul

3 0
3 years ago
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
cricket20 [7]

Answer:

186 cm²

Step-by-step explanation:

<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>

<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>

<u>Left rectangle:</u>

A = lh

A = 12 (8)

A = 96 cm²

<u>Right rectangle:</u>

A = lh

A = 10 (9)

A = 90 cm²

<u>Total:</u>

A = 90 + 96

A = 186 cm²

4 0
3 years ago
Read 2 more answers
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technicia
sveta [45]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Technician __Shutdown

Taylor, T___4

Rousche, R _ 3

Hurley, H__ 3

Huang, Hu___2

Gupta, ___ 5

The Numbe of samples of 2 possible from the 5 technicians :

We use combination :

nCr = n! ÷ (n-r)!r!

5C2 = 5!(3!)2!

5C2 = (5*4)/2 = 10

POSSIBLE COMBINATIONS :

TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG

Sample means :

TR = (4+3)/2 = 3.5

TH = (4+3)/2 = 3.5

THu = (4+2) = 6/2 = 3

TG = (4 + 5) = 9/2 = 4.5

RH = (3+3) = 6/2 = 3

RHu = (3+2) /2 = 2.5

RG = (3 + 5) = 8/2 = 4

HHu = (3+2) = 2.5

HG = (3+5) = 8/2 = 4

HuG = (2+5) / 2 = 3.5

Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4

Population mean :

(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4

Population Mean and mean of sample means are the same.

This distribution should be approximately normal.

7 0
3 years ago
Map of field: 12 in × 15 in
alexdok [17]
Multiply the dimensions by 3 to convert to feet.

12 x 3 = 36 ft.

15 x 3 = 45 ft.

the dimensions are 36 ft. x 45 ft.
4 0
3 years ago
Solve the system of equations y= x+2. Y=x^2+5x+6
Serggg [28]
This is already solved.
8 0
3 years ago
Read 2 more answers
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