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vampirchik [111]
3 years ago
14

Help Rotation of BAT

Mathematics
1 answer:
ad-work [718]3 years ago
8 0
The rule for a rotation by <span><span>90</span></span> about the origin is <span>(x,y)→(−y,x<span>)
A(-2,11) then A(-11,-2)
B(-3,-6) then B(6,-3)
T(10,-4) then T(4,10)

answer
A. the first choice

</span></span>
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Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
The figure shows two intersecting lines and the measures of the resulting angles. Write an equation to help you solve for x. The
Svetlanka [38]

<u>Given</u>:

The given figure shows the intersection of the two lines.

The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°

We need to determine the equation to solve for x and to find the value of x.

<u>Equation to solve for x:</u>

Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.

Hence, we have;

3x-8=2x+12

Thus, the equation to solve for x is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

x-8=12

     x=20

Thus, the value of x is 20.

3 0
3 years ago
If angle∠ A and angle∠ B are supplementary angles and angle∠ A is eighteight times as large as angle∠ ​B, find the measures of a
Shalnov [3]
A = 8B
A + B = 180
8B + B = 180
9B = 180
B = 20
A = 8 * 20 = 160
4 0
3 years ago
What is the radius of a circle if the area is 78.5 cm^2
Verizon [17]
78.5= (3.14)r^2
25=r^2
5=r
So, the radius of a circle with an area is 78.5 cm^2 is 5 cm^2
3 0
3 years ago
The product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39.
anyanavicka [17]
Let the number be X. Then we find
7X + 3 = 39 - 2X

Now we collect the terms and find
9X = 36

Finally we divide by 9
X = 4

So our answer is 4
7 0
3 years ago
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