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Art [367]
3 years ago
8

Solve the triangle below. type all answers as integers (no labels). Round to the nearest hundredth where applicable.

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer/Step-by-step explanation:

The triangle is a right triangle.

✔️m<A = 180° - (53° + 90°)

m<A = 37°

✔️Find AC using trigonometric ratio:

Reference angle = 53°

Opposite = AC

Hypotenuse = 5 m

Thus:

Sin (53) = opp/hyp

Sin (53) = AC/5

5*Sin(53) = AC

AC = 3.99 (nearest hundredth)

✔️Find BC using trigonometric ratio:

Reference angle = 53°

Hypotenuse = 5

BC = Adj

Cos (53) = adj/hyp

Cos (53) = BC/5

5*Cos(53) = BC

BC = 3.01 (nearesth hundredth)

Greeley [361]3 years ago
4 0

Answer:

m∠a=37

AC= 3.99

BC= 3.01

I just took the test and it was right:)

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An alpine area of a national park near a trail is normally covered by plants, but much of the area is now bare soil. Park ranger
Ira Lisetskai [31]

Answer:

The correct option is;

comparing plant survivorship in areas where hikers stay on the trail with plants where hikers leave the trail

Step-by-step explanation:

The hypothesis that the area formerly covered by known plants which is now bare soil due to trampling in the alpine areas by hikers can be tested by means of comparing the areas where during the cause of their visit, the hikers remain on the trail as they move within the park to other portion of the park where it is known that there are either very few or no hiker remain on the trail. The outcome will determine if the cause of the appearance of bare soil is due to the transit and trampling by hikers.

8 0
3 years ago
Two imaginary roots <br> A.144<br> B.O<br> D.-4<br> C.36
Vaselesa [24]

Answer:

D) -4 (with imaginary roots ±2i)

Step-by-step explanation:

Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.

6 0
3 years ago
Can some one pleaseeee help me ?!?
Ierofanga [76]

1) a=16

a is 16 because 16/4 is 4. 2 plus 4 is 6

8 0
3 years ago
Im in dyer need of how to solve these problems
melisa1 [442]
#4)
{ A}
Triangle ABC is congruent to triangle YXZ. How do I know this?
 Look at the angles and adjacent (bottom) line.
Because Angle A and Angle Y are both equal to (what I believe says) 78 degrees, they are equal. 
Next, Angle B is equal to Angle X because it is the angle that connects the adjacent (bottom) line and the hypotenuse (top line). Even though they have no measurements or tick marks, it's the process of elimination.
Finally, Angle C and Angle Z. We know that these are equal do to their degree similarity of (what I think is) 65.

{B} Triangle ABC is congruent to Triangle RSQ. How do I know this?
Because Angle A is congruent to the only other angle there, Angle R.
Next, B and S are congruent. If you think of them as angles, then you can see that "angle" b is connected to the leg of AB and BC. AC has one tick mark, as does RS. BC has no tick or anything to note it's congruence. So because Point be is stick in between a leg with one tick and one leg with no tick, look for the similarity in triangle RSQ. The similarity showing as S. You should understand enough now to know how I got how C and P are congruent. 

#5) Sadly I cannot read the diagram they provide, so I cannot help with it.

#6) The length of BC: ?  The length of XZ:   ?  Measure of Angle BZX: 55 degrees. 
5 0
3 years ago
Using the figure below, tell if the triangles are congruent, and if so by what theorem?
Alenkasestr [34]
A. Yes, they are congruent by SSS theorem.

5 0
3 years ago
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