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DedPeter [7]
3 years ago
5

What’s X=? Round to the Nearest Hundredth

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

9514 1404 393

Answer:

  9.83

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship ...

  Sin = Opposite/Hypotenuse

  sin(24°) = 4/x

  x = 4/sin(24°)

  x ≈ 9.83

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Find the minimum or maximum value of the function. What is the H? (Desmos)
beks73 [17]

Answer:

Minimum: (2,4)

Step-by-step explanation:

h(x)=3(x^{2}-4x)+16

=3(x^{2}-4x+4-4)+16   (- For the balance of equation, and attention 1)

=3(x-2)^{2}-3*4+16

=3(x-2)^{2}+4

<h3>Attention:</h3>

1. (a-b)^{2}=a^{2}  -2ab+b^{2}

2. The formula for the vertex form is y = a(x-h)^{2}+k, the vertex is (h,k)

4 0
3 years ago
ABCD Is a rectangle that represents a park.
Andru [333]

Answer:

Shortest distance from A to C = 102.9005 m.

Step-by-step explanation:

It is given that, ABCD is a rectangular park.

The length of the park is 80 m.

The breadth of the park is 50 m.

The diameter of the circle = 15 m.

We have to calculate the shortest distance from A to C across the park.

The distance AC = \sqrt{50^{2}+80^{2} } = 94.339 m.

As one has to pass only through the lines shown, he cannot pass through the circle.

So, we have to subtract the diameter of 15 m from AC

=> 94.339 m - 15 m = 79.339 m.

One must pass through either half of the circumference of the circle.

Since, diameter of circle = 15 m, its radius(r) = \frac{15}{2} = 7.5 m.

The circumference of the circle = 2×π×r = 47.123 m.

Half of the circumference = \frac{47.123}{2} = 23.5615 m.

Distance from A to C passing through circumference = 79.339 m + 23.5615 m = 102.9005 m.

As we have to calculate the shortest distance from A to C, one cannot pass  from A to C either through B or D,

since the distance ABC or ADC = 50+80 = 130 m.

Therefore, shortest distance from A to C = 102.9005 m.

3 0
3 years ago
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Consider two events such that P(A)=1/4, P(B)=2/5, and P(A∩B)=1/10. Are events A and B independent events?
Ray Of Light [21]
Yes, they are independent. First of all, we know that P(A) = 1/4, P(B) = 2/5, and P(A and B) = 1/10. To know if two events are independent, the following questions must be true: P(A)*P(B) = P(A and B). So since (1/4)*(2/5) = 2/20 which equals 1/10, these events are independent
3 0
3 years ago
Estimate the product<br> A)Close to 40<br> B)Close to 004<br> C)Close to 0.4<br> D)Close to 4
PtichkaEL [24]
Close to 0.4 aka c :))
7 0
3 years ago
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Simplify, following the order of operations: 5 102 – 3 × (12 – 8)
JulijaS [17]

5 + 10^2 - 3 ( 12 - 8 ) = 93 12 - 8 = 4 then do 3 x 4 which = 12 and then add 5 to 10^2 which = 105 105 - 12 = 93

5 0
3 years ago
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