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RideAnS [48]
3 years ago
5

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Answer:

x ≈ 8.8

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = \frac{opposite}{hypotenuse} = \frac{PQ}{OQ} = \frac{3}{x} ( multiply both sides by x )

x × sin20° = 3 ( divide both sides by sin20° )

x = \frac{3}{sin20} ≈ 8.8 ( to the nearest tenth )

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What is the vertex of the quadratic function f(x)=(x-8)(x-2)
lakkis [162]

Answer: Vertex (5 ,-9)

Step-by-step explanation:

Given : Function f(x) = (x – 8)(x – 2).

To find : What is the vertex of the quadratic function .

Solution : We have given that f(x) = (x – 8)(x – 2).

On removing parenthesis

f(x) = x²-2x -8x +16.

f(x) = x²-10x +16.

We need to find vertex of this function ,

Vertex: (h, k)

h = -.

Plugging values

h = -.

h = 5 this is the x- coordinate,

Now , we will plug x= 5 in quadratic function .

k  = (5)²-10(5)+16.

k = 25-50 + 16

k= -9.

Vertex (5 ,-9)

Therefore, Vertex (5 ,-9).

7 0
4 years ago
Please help!!!!!!!!!!!
pickupchik [31]

Answer:

x in terms of     b = -3/b

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5 0
3 years ago
Determine the intercepts of the line. -5x+9y=-18
aksik [14]

Answer:

x = 18/5 + 9/5y

Step-by-step explanation:

4 0
4 years ago
Sardis was drawing a triangle. The first segment he drew was 10 centimeters. The 2nd side he drew was 12 centimeters. How long w
HACTEHA [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The<u><em> Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

Let

c ----> the measure of the length of the third side

1) 10+12 > c

22 > c\\c < 22 cm

2) c+10>12

c > 12-10\\c >2 cm

so

The solution for the length of the third side is the interval (2,22)

All real numbers greater than 2 centimeters and less than 22 centimeters

4 0
4 years ago
Please answer this qusetion
Keith_Richards [23]

Answer:

A

Step-by-step explanation:

With way one, we can easily count the tally marks, but with way 2 it becomes much harder for us to count the tallies when we are done.

3 0
3 years ago
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