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ycow [4]
2 years ago
12

Solve for x. please explain in detail

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Use the cosine formula

Cos(angle) = adjacent/ hypotenuse


cos(30) = x/8

Cos(30) can be written as sqrt(3)/2

Now you have :

sqrt(3)/2 = x/8

Multiply both sides by 8:

X = sqrt(3)/2 x 8

Simplify:

X = 4sqrt(3)

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Marsha is buying plants and soil for her garden. The soil cost $4 per
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Answer:

p ≥ 5

4s + 10p ≤ 100

Step-by-step explanation:

Here, we want to write a system of inequalities

Let the number of bags of soil be s and the number of plants be p

She wants to buy at least 5 plants

mathematically, when something is at least 5, it means greater than or equal to 5

In inequality, we have this as;

p ≥ 5

Secondly, she wants to spend not more than $100; she can spend less but cannot spend more

We have this as;

The number of bags she can buy at $4 per bag is 4 * s = 4s

the number of plants at $10 per one will be;

10 * p = 10p

Adding both should give a cost less than or equal to 100

We have this as;

4s + 10p ≤ 100

So, we have the system of inequalities as;

p ≥ 5

4s + 10p ≤ 100

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3 years ago
If the diameter of a circle with a circumference of 12.6 mm is divided by 2, what is the circumference of the new circle?
Archy [21]
12.6/2=6.3 is the answer hope it is helpful
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Find the value of the greater root of x2 - 6x + 5 = 0 A) -5 B)-1 C)1 D)5
VARVARA [1.3K]
2x-6x+5=0
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Which study best exemplifies descriptive statistics?
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C . A study that relates the relationship
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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

8 0
3 years ago
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