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vodomira [7]
4 years ago
6

Find the value of x and if necessary, express answer in simplest radical form.

Mathematics
1 answer:
antiseptic1488 [7]4 years ago
8 0
Writing and solving an equation of ratios is the way to go here.  See if you can figure out why the following is correct:

x+3      x
----- = -------
  12     x+3

Then (x+3)^2 = 12x, and x^2 + 6x + 9 = 12x, so that x^2 - 6x + 9 = 0

This is the square of (x - 3).  Thus, x-3 = 0, and x = 3.

The value of x is 3.
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Find the area of the triangle. Round the answer to the nearest tenth. A. 4.4 square units B. 5.2 square units C. 6.8 square unit
icang [17]

Answer:

A. 4.4 units²

Step-by-step explanation:

Area of a Triangle: A = 1/2bh

sin∅ = opposite/hypotenuse

cos∅ = adjacent/hypotenuse

Step 1: Draw the altitude down the center of the triangle

- We should get a perpendicular bisector that creates 90° ∠ and JM = KM

- We should also see that we use sin∅ to find the <em>h</em> height of the triangle and that we use cos∅ to find length of JM to find <em>b</em> base of the triangle

Step 2: Find <em>h</em>

sin70° = h/3.7

3.7sin70° = h

h = 3.47686

Step 3: Find <em>b</em>

cos70° = JM/3.7

3.7cos70° = JM

JM = 1.26547

Step 4: Find entire length base JK

JM + KM = JK

JM = KM (Definition of Perpendicular bisector)

2(JM) = JK

2(1.26547) = 2.53095

b = 2.53095

Step 5: Find area

A = 1/2(3.47686)(2.53095)

A = 4.39988

A ≈ 4.4

8 0
3 years ago
Which situation can be modeled by a linear function?
horrorfan [7]
Number 1 The population of bacteria triples every day.
7 0
3 years ago
The function h(t) = –16t^2 + 32t + 48 is graphed. When will h(t) = 48?
lana [24]

Answer:

h(0) = –16t^2 + 32t + 48

Step-by-step explanation:

If everything with a t is multiplied by zero, it will make everything 0 and leave the value of the constant, 48.

3 0
3 years ago
What is 2 6/7 as an improper fraction
Makovka662 [10]

Answer:

20/7

Step-by-step explanation:

Check the picture

6 0
2 years ago
Solve for n<br><br><br> 8+8+n-4=3n-2n
____ [38]

Answer:

No solution

Step-by-step explanation:

8+8-4 = 12

12+ n = 3n-2n

3n-2n

12+n3n-2n

subtract n on both sides

12=0n

This makes it no solution  

8 0
4 years ago
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