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nika2105 [10]
2 years ago
11

Solve the inequality. 2 divided by 5 is greater than or equal to x minus the quantity 4 divided by 5 end of quantity.

Mathematics
1 answer:
In-s [12.5K]2 years ago
7 0
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
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A plane is flying 3900 m above the ground level. The angle of elevation from the control tower to the plane is
Tcecarenko [31]

The horizontal distance to the control tower is approximately 18506.83m

Data;

  • distance from the ground = 3900m
  • angle of elevation = 11.4 degrees
  • horizontal distance = ?

<h3>Trigonometric Ratio</h3>

To solve this problem, we need to use trigonometric ratio SOHCAHTOA.

In this case, we have the value of opposite and angle and we need to find the adjacent to the angle. The tangent of the angle would be perfect for this.

tan\theta = \frac{opposite}{adjacent} \\tan11.4 = \frac{3900}{x}\\x = \frac{3900}{tan11.4}\\ x = 18506.83m

The horizontal distance to the control tower is approximately 18506.83m

Learn more on trigonometric ratio here;

brainly.com/question/4326804

3 0
2 years ago
Which value is a solution of the equation 5-4x=-3?<br> A. 0<br> B. 2<br> C. -3<br> D. 1/4
Rashid [163]
B. 2 I hope that this helps.
5 0
3 years ago
Read 2 more answers
Solve m+18+23=71<br><br> PLZZZZZ I NEED THE ANSER PLZZZ
Aleksandr-060686 [28]

Answer:

m + 18 + 23 = 71

m + 41 = 71

m = 71 - 41

<u>m = 30</u>

8 0
2 years ago
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Please help with the question asked
GarryVolchara [31]

Answer:

C, None of the above

Step-by-step explanation:

Step 1: Expand the brackets

-7 - 3(-4e-3)

-7 + 12e + 9

Step 2: Collect like terms

12e + 2

Because the answer is not a or b the answer is 'None of the Above'

6 0
2 years ago
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The breaking strengths of cables produced by a certain manufacturer have a mean µ, of 1850 pounds, and a standard deviation of 9
saul85 [17]

Answer:

We accept H₀. We do not have argument to keep the claim that the mean breaking strength has increased

Step-by-step explanation:

Normal Distribution

Population Mean   μ₀  = 1850 pounds

Standard Deviation   σ  =  90 pounds

Type of test

Null Hypothesis                         H₀     ⇒    μ  =  μ₀

Alternative Hypothesis            Hₐ      ⇒    μ > μ₀

A one tail test  (right)

n = 21  as    n  < 30  we use t-student table

degree of fredom   20  

t = 2.845

Sample mean   μ = 1893

Then, we compute t statistics

t(s)  =  [ 1893 - 1850 ] / 90/ √n

t(s)  =   43 * 4,583 / 90

t(s)  = 197,069 / 90

t(s)  =  2,190

And we compare t  and  t(s)

t(s)  =  2.190

t =  2.845

Then  t(s)  <  t

We are in the acceptance zone, we accept  H₀

5 0
2 years ago
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