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Alina [70]
3 years ago
11

If angle B measures 25°, what is the approximate perimeter of the triangle below? A right triangle is shown. Angle A is 90 degre

es and angle B is 25 degrees. Side A B has a length of 4.

Mathematics
1 answer:
Bad White [126]3 years ago
4 0

Answer:

Perimeter of the triangle = 10.48 unit

Step-by-step explanation:

From the ΔABC

∠A = 90°

∠B = 25°

∠C = 180-90-25 = 65°

AB = 4 unit

From the sine rule

\frac{4}{\sin65} = \frac{AC}{\sin25} = \frac{BC}{\sin65}

AC = 4 (\frac{\sin25}{\sin65} )

AC = 1.86 unit

BC = 4 (\frac{ \sin90}{\sin60} )

BC = 4.62 unit

Perimeter of the triangle = AB + BC + CA

Perimeter of the triangle = 4 + 4.62 + 1.86

Perimeter of the triangle = 10.48 unit

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Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s^2+9s-
Elza [17]
S^2 + 9s - 142 > 2000
s^2 + 9s - 142 - 2000 > 0
s^2 + 9s - 2142 > 0
(s-42)(s+51) > 0

s - 42 > 0
s > 42

s + 51 > 0
s > -51.......will not work

answer is : s > 42
8 0
3 years ago
Read 2 more answers
Compute the number of vinyl tiles, measuring 28 inches on each side, needed to tile a kitchen measuring 102 ft. by 18 ft.
ratelena [41]

Answer:

338 tiles

Step-by-step explanation:

First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.

102 * 12 = 1224     18 * 12 = 216


Now multiply these answers together.

1224 * 216 = 264,384 square inches


Now find the area of the vinyl tiles.

28 * 28 = 784 square inches


Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.

264,384 / 784 = 337.224


Since you can't buy part of a tile, round your answer up.

338 tiles



6 0
3 years ago
Read 2 more answers
True or False
kifflom [539]

Answer:

  1. true
  2. true
  3. false
  4. false

Step-by-step explanation:

One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

__

1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

True: translation can be replaced by two reflections

__

2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.

True: translation can be replaced by two rotations

__

3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

However, a rotation can be replaced by <em>two</em> reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.

False: rotation can be replaced by reflection

__

4. reflection by rotation and translation

As discussed above, reflection changes orientation, but rotation and translation do not.

False: reflection can be replaced by rotation and translation

6 0
2 years ago
Put 0.4 repeating into a fraction​
aliina [53]

Answer:

2/5=0.4=40%

Step-by-step explanation:

because if you divide 2/5 you'll get 0.4.  if you want to put that in a percent you'll multiply 0.4 and 100 and you should get 40%.

<em>HOPE THIS HELPS </em>

<em>yo girl trin.</em>

3 0
3 years ago
ANSWER QUICKLY..
astra-53 [7]

Answer:

10 weeks

Step-by-step explanation:

Let's set an equation for you and your brother.

You have $90 plus $18 for every week you save (x).

90+18x

And your brother has $120 plus $15 dollars per week that he saves (x)

120+15x

You want to have the sum of the money equal so combine the two concluded statements

90+18x=120+15x

Arrange them so that you have like terms on each side

90+18x-15x=12+15x-15x

90+3x=120

90-90+3x=120-90

3x=30

x=10

"x" is our number of weeks you and your brother save so the answer is 10 weeks

Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.

6 0
2 years ago
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