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ipn [44]
3 years ago
11

Two vectors a and b have magnitudes 2√2 and 9 respectively. Also, a⋅b=18. Find the angle between a and b to the nearest whole de

gree.
Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

The angle is the 32 is the angle

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The length of one leg of a right triangle is 24 feet and the length of the hypotenuse is 40 ft what is the length of the other l
Rama09 [41]
To solve for the other leg, you need to use Pythagorean theory.

The theory states that C^2 = A^2 + B^2

In your case, you have to solve for B.
C = 40 (hypotenuse)   A = 24 (leg 1)

The formula rewritten for B is b= \sqrt{c^{2}-a^{2} }

Now, you can solve.

b= \sqrt{c^{2}-a^{2} }

b= \sqrt{40^{2}-24^2 }

b = \sqrt{1600 - 576}

b = \sqrt{1024}

b = 32

Therefore, B = 32.

So the second leg is 32 feet.
7 0
4 years ago
MZJ and m M are base angles of isosceles trapezoid JKLM. If mZJ = 18x + 8 and m_M=11x + 15 find m2K.
maxonik [38]

The question is incomplete. Here is the complete question.

m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.

If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.

A. 1

B. 154

C. 77

D. 26

Answer: B. m∠K = 154

Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.

Related to internal angles, angles of the base are equal and opposite angles are supplementary.

In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:

18x + 8 = 11x + 15

7x = 7

x = 1

Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:

m∠J = 18(1) + 8

m∠J = 26

m∠K + m∠J = 180

m∠K + 26 = 180

m∠K = 154

The angle m∠K is 154°

7 0
3 years ago
Help pls is geometry
Burka [1]

Answer:

C) 16, 6

Step-by-step explanation:

  1. Set AB and DC equal to eachother. 4x = x + 12.
  2. Subtract x from both sides. 3x = 12
  3. Divide by 3 to get x alone. x = 4
  4. Plug this x value in the equation for AB. 4•(4) = 16
  5. We know the AD equals 6, so that will be one of the values and we now know that AB equals 16.
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3 years ago
What is the rate in feet per second? 10 feet 16 seconds
Ierofanga [76]
Feet
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3 years ago
(I can mark the first correct person brainliest!)
Mashutka [201]
35 which is slope which in turn represents the speed.
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