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horrorfan [7]
3 years ago
6

Use special right triangles to solve for the exact value of x.

Mathematics
2 answers:
DanielleElmas [232]3 years ago
8 0

Answer:

x = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = \frac{1}{2}

cos60° = \frac{adjacent}{hypotenuse} = \frac{8}{x}

Multiply both sides by x

x × cos60° = 8, that is

x × \frac{1}{2} = 8

Multiply both sides by 2

x = 16

Usimov [2.4K]3 years ago
8 0

Answer:

hope it helps you see the attachment

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Sierra has $40 in her savings account. She deposits $55 a week and never withdrawals money. Zayn has $250 in his savings account
fenix001 [56]

Answer:

6 weeks

Step-by-step explanation:

Sierra: 40 + (55x)

40 + (55 * 6) = 370

Zayn: 250 + (20x)

250 + (20 * 6) = 370

7 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is four times
REY [17]

Answer:

  (x, y, z) = (36°, 60°, 84°)

Step-by-step explanation:

Using the given variable definitions we can write the equations expressing the problem conditions.

  x + y + z = 180

  y + z = 4x

  z = y + 24

Substituting the second equation into the first, we have ...

  x +4x = 180

  x = 180/5 = 36

Substituting this value in the second equation and adding that to the third equation, we have ...

  (y +z) +(z) = (4·36) +(y +24)

  2z = 168 . . . . . . subtract y and collect terms

  z = 84

  y = 84 -24 = 60

The angle measures are ...

  (x, y, z) = (36°, 60°, 84°)

4 0
3 years ago
Which expression is equivalent to 3y-8+(-7y)+8
PIT_PIT [208]

Answer:

I believe the answer to this question is: -4Y

8 0
3 years ago
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Choose the ratio that is equivalent to this one:
Nikitich [7]
Think it’s seven and eight and nine
5 0
4 years ago
Sal is tiling his entryway. The floorplan is drawn on a unit grid. Each unit length represents 1 foot tile cost $1.25 per square
Tresset [83]

Answer: Sal will pay $77.78 to tile his entryway

Step-by-step explanation:

The image of the question is attached below.  

Given each unit length = 1 foot  

Tile cost per square feet = $1.  65

To find the area, split the floor shape into two shape.  

One is trapezoid and the other is parallelogram.  

Let's count the grid given.  

The parallels sides of trapezoid are 7 ft and 4 ft, height is 7 ft.  

The base and height of the parallelogram are 4 ft and 4 ft respectively.  

Area of the trapezoid  

                                 

                                 

Area of the trapezoid = 27.5 sq.ft  

Area of the parallelogram = base × height  

                                       = 4 ft × 4 ft  

Area of the parallelogram = 16 sq. ft  

Total area = 27.5 sq. ft + 16 sq. ft  

              = 43.5 sq. ft  

Cost of area per sq. ft = $1.65  

Cost of area 43.5 sq. ft = 43. 5 × 1.65  

                                   = $71.775

                                   = $71.78  

Hence Sal will pay $71.78 to tile his entryway.

4 0
3 years ago
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