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Oksana_A [137]
2 years ago
6

Using the technique in the model above, find the missing sides in this 30°-60°-90° triangle. Long = 3 Hypotenuse =

Mathematics
1 answer:
VMariaS [17]2 years ago
6 0
Alright, if I have this right, first of all, your provided with only one side of the triangle, the long leg. You need to calculate the short leg, and then the hypotenuse for it to all be complete
1. Find the short leg's measurement by dividing the length of the long leg by the square root of 3 (use a calc.)
2. 3/ the square root of 3 = to 1.73
3. The length of the short leg, supposedly, is 1.73 (roughly, was rounded)
4. Find the hypotenuse by taking the length of the short leg times 2
5. 1.73*2=3.46, (roughly, was rounded)
6. Apply the measurements to the figure.
7.  The long leg is equal to 3, the hypotenuse is equal to 3.46, and the short leg is equal to 1.73
~Hope this helps!
(Would appreciate brainliest :p)

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2 years ago
Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse? 7 cm cm 14 cm cm
Mashutka [201]
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2 years ago
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A study of consumer smoking habits includes 177 people in the 18-22 age bracket ( 48 of whom smoke), 146 people in the 23-30 age
svp [43]

Answer:

The probability of getting someone who is age 18-22 or does not smoke is 0.854 ....

Step-by-step explanation:

Through the given statements we have to find the probability of getting someone who is age 18-22 or does not smoke.

Age 18-22 has 177 people. 48 of whom smoke.

People who does not smoke =(177-48) + (146-31) +(81-28)

People who does not smoke=129+115+53 = 297

People with age (18-22) who does not smoke = 129

P(18-22 or does not smoke) = (177+297-129)/(177+146+81)

P(18-22 or does not smoke) = 345/404

P(18-22 or does not smoke) = 0.854

Thus the probability of getting someone who is age 18-22 or does not smoke is 0.854 ....

3 0
2 years ago
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Quadrilateral TRAM is rotated -90 degrees about the origin. Draw the image of this rotation.
SpyIntel [72]

Answer:

Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel

Step-by-step explanation:

The given coordinates of the vertices of the quadrilateral TRAM are;

T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)

By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;

The coordinates of the preimage before rotation = (x, y)

The coordinates of the image after rotation = (y, -x)

Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;

T(-5, 1) → T'(1, 5)

R(-7, 7) → R'(7, 7)

A(-1, 7) → A'(7, 1)

M(-5, 4) → M'(4, 5)

The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.

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2 years ago
Quadrilateral WXYZ has vertices W(-4,-3), X(0,-1). Y(6,-2), Z(2,-4). Using properties of diagonals prove that WXYZ is a parallel
yanalaym [24]

Answer:

The diagonals are bisectors of each other and meet at  (1, -5/2) but are not congruent, so WXYZ is a parallelogram and not a rectangle

Step-by-step explanation:

for parallelograms.

the diagonals intersect at the midpoints

W                             X

Z                             Y

Diagonals are  WY  and  XZ

WY :   (-4, -3) to  (6, -2)

midpoint is   [(-4 + 6)/2  ,  (-3 - 2)/2 ] = ( 1, -5/2 )

XZ :   (0, -1)  to  (2, -4)

midpoint is  [ (0 + 2)/2 ,  (-1 + -4)/2 ]  = (1, -5/2)

The diagonals are bisectors of eachother.

Next show that these diagonals are not congruent.

length of  WY  =  root (  (-4 - 6)^2  +  (-3 - (-2))^2 )

WY = root ( 100  +  1)

WY = root(101)

length of XZ  =  root (  (0 - 2)^2  +  ( -1 - -4)^2 )

XZ =  root (4  +  9) = root (13)

we see that  WY  is not equal to XZ

...

so  ..  quadrilateral WXYZ is a parallelogram but not a rectangle.

8 0
2 years ago
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