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Brut [27]
3 years ago
9

Find the value of the variable.

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

x = 8.66

y = 10

Step-by-step explanation:

Okay first of all write out sin cos tan. SOH-CAH-TOA

Solve for x : Reference angle is 60. x is the opposite angle. 5 is adjacent. We can conclude that we need to use TAN since it deals with opposite and adjacent.  Now write out the equation. tan(60) = x/5.

To get x alone multiply both sides by 5 so we have tan(60)*5  = x

That would be equal to 8.66. Make sure to use degree and not radiant when using calculator.

Solve for y. Ref angle : 60, Adjacent is 5 and y is hypotenuse.  We can conclude we need to use Cos.

cos(60) = 5/y. If the variable is in the denominator we can just flip places of y and cos(60). We are left with y = 5/cos(60). Now use a calculator for this and use degree. We will get the answer as 10.

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A system of linear inequalities is shown below.
Helga [31]
A) Isolate y in both inequalities

1) x + y ≥ 4 => y ≥ 4 - x
2) y < 2x - 3

B) Draw the lines for the following equalities:

1) y = 4 - x
2) y = 2x - 3

C) Shade the regions of solutions

1) The region that is over the line y = 4 - x
2) The region that is below the line y = 2x - 3

The solution is the intersection of both regions; this is the sector between both lines that is to the right of the intersection point, including the portion of the very line y = 4 - x and excluding the portion of the very line y = 2x - 3


5 0
3 years ago
If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the cho
galina1969 [7]

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


6 0
3 years ago
Which statement is true about the value of (6)? A.(6) greater-than 6
Anvisha [2.4K]

Answer:

D. (6) is the distance between 6 and 0, and the distance is negative from 6 to 0

Step-by-step explanation:

(6) means the number exists in the negative state. It is -6.

Option A - As it is -6, it cannot be greater than positive 6. So, it is incorrect.

Option B - As it is -6, it cannot be less than negative 6. So, it is wrong.

Option C - As it is -6, its distance cannot be 0 to 6, and it should not be positive.

Option D - As it is -6, its distance should be negative and the distance is from 6 to 0. Therefore, it is the correct answer.

7 0
3 years ago
Three hens can lay 3 eggs in 3 days.In how many days can 7 hens lay 7 eggs?
Anna71 [15]

Answer: 3 days


Step-by-step explanation: It would take 3 days for seven hens to 7 lay eggs because each hen lays an egg each day.

1 hen/1 egg = 3 days

7 hens/7 days = 14 eggs

7 hens/3 days = 7 eggs

6 0
3 years ago
Read 2 more answers
Can someone answer this plssss
Tpy6a [65]

Answer:

AB : Y= 4  CB: Y= -1

Step-by-step explanation:

I think?? I'm so so sorry I didn't really pay attention to these shape figures in math :(((

3 0
3 years ago
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