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otez555 [7]
3 years ago
8

For a given triangle it is known that cos A =-0.5, where 0° Based on the information given above, the value of angle(s) A i

n standard position
could be
A)60°
B)120°
C)210°
D)300°
Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0

Answer:

120

Step-by-step explanation:

Here, we want to get the possible value of A

Now, we should understand that the value of an angle in triangle cannot be more than 180

Also, cosine can only be negative in the second and the 3rd quadrant

So,

arc cos (-0.5) = 120 , 300 , 60

But 60 is not correct as it will give a negative value

300 is not correct also as it is more than the angles present in a triangle

Thus, our answer is 120

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Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between t
mamaluj [8]

Answer:

\angle 1 + \angle 2 = 180^o

Step-by-step explanation:

Given

\angle 1 and \angle 2

Required

The relationship between them \angle 1 and \angle 2

From the question, we understand that \angle 1 and \angle 2 are supplementary

Supplementary angles add up to 180.

So, the relationship between \angle 1 and \angle 2 is:

\angle 1 + \angle 2 = 180^o

7 0
2 years ago
What is the final amount if 975 is increased by 1% followed by a further 9% increase?
alexgriva [62]
975 x 1.01 = 984.75
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3 0
3 years ago
HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

3 0
3 years ago
Solve for t : t3 + 4 =-4
Nikolay [14]
-2.6 I think is the correct answer
8 0
3 years ago
Last month, Margo bought a tree that grows 2.5 cm each day. It was 5 cm when she bought it and now it 65 cm tall.
Radda [10]
You will want this equation to be in y=mx+b, because you already have the slope and y-intercept. X will be the number of days she has had the plant, and Y will be the height of the tree, because it is the variable being affected by the X. The slope, or the M, is 2.5 because this is the number of centimeters the tree grows per day. The y-intercept is 5, because this is the height of the tree originally. So, the equation is Y=2.5X+5. To solve the number of days Margo will have had the plant, plug in 65 (the height of the plant after a certain amount of days) into the Y variable and solve for X. So, 65=2.5X+5. Subtract 5 from both sides to get 60=2.5X, then divide both sides by 2.5 to get X=24. So, she will have owned the plant for 24 days.
5 0
3 years ago
Read 2 more answers
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