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Nookie1986 [14]
3 years ago
10

2 figures are blank if one can be obtained from the other by a series of rotations, reflections, or trnaslations

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0
Uh photosynthesis and lego meat
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Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o
wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is  x = 274 \ unites

Step-by-step explanation:

From the question we are told that

       The length of the vertical length is  x

      The length of the base leg is L = 330 + d units

      The length of the bisecting line segment is h

       The base angle is \theta  = 28^o

       The angle between d and line segment is  \theta_1 =  56^o

For the first angle

         Tan \theta_1 =  \frac{x}{d}

=>     d =  \frac{x}{Tan \theta _1}

 For the whole big triangle

      Tan \theta = \frac{x}{330 + d}

=>     d = \frac{x}{Tan \theta }  -330

So equating the both d

        \frac{x}{Tan \theta _1} =    \frac{x}{Tan \theta }  -330

Substitute values

        \frac{x}{Tan (56)} =    \frac{x}{Tan (28) }  -330

      0.6745 x =    1.880x  -330

       1.20549 x = 330

       x = 274 \ unites

     

   

5 0
3 years ago
a solid consists of cylinder surmounted by a right circular cone. The height of the cone is 2h. If the volume of the solid is 3
Mademuasel [1]

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

8 0
3 years ago
A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (6, 5). What is
OLga [1]

Answer:

The vector joining the ship to the rock is t= 7 i + 5 j

The direction is 0.9505 radians east of north.

Step-by-step explanation:

The position vector of the ship:

r= 1 i + 0 j

The position vector of the ship:

s= 6 i + 5 j

The vector joining the ship to the rock is:

t = r + s

t = (1 i + 0 j) + (6 i + 5 j)

t = 7 i + 5 j

The bearing of the rock to the ship is:

Θ= \frac{ \pi}{2} - arctan (\frac{5}{7})= 0.9505 radians

4 0
3 years ago
Help plz WILL MARK Brainlyest
Alex17521 [72]

Answer:

11/12

Step-by-step explanation:

7/6= 14/12

8/6= 16/12

the number in between the two is 15/12 then it already shows you what to subtract by (4/12) so 15/12-4/12=11/12

8 0
3 years ago
The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average
agasfer [191]

Answer:P(x<10) =0

Step-by-step explanation:

M =1/μ

M= 1/15 =0.066667

X- Exp (0.066667)

Where: X is the random variable for number of days

P (X<x) = 1 - e^-mx

P(X - x) = 1 - e^-0.06666 x10

P(x<10) = 0

3 0
3 years ago
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