In the figure, ∠ABD = 50° and ∠BCD = 60°. <br>Calculate ∠ADC and ∠ADO.

Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x

alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0

3 years ago

Find the surface area of the square pyramid 8mm 6mm

bija089 [108]

Answer:

136 mm²

Step-by-step explanation:

$A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}$

$A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}$

$A=36 +12\sqrt{\frac{36 }{4} } +64$

$A=36 +12\sqrt{9 } +64$

$A=36 +12(3)+64$

$A=36 +36+64$

A = 136

5 0

3 years ago

Rosa has 55 books and gives 5 of them to her friend. How many does she have left?

Alecsey [184]

Answer:

55-5

50 books she has left

7 0

2 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

tatiyna

Answer:

The product of $3a^2.2a^3\\$ is $6a^6$

Step-by-step explanation:

We need to find the product of $3a^2.2a^3\\$

Using the exponent rule: $a^m. a^n = a^{m*n}$

So,

$3a^2.2a^3\\$

Applying above rule:

$3.2 (a^{2*3})\\$

$6a^6$

So, the product of $3a^2.2a^3\\$ is $6a^6$

8 0

3 years ago

Worth 20 points, first answer gets brainliest!

user100 [1]

Answer:

x = -7

Step-by-step explanation:

Simplifying

5x + 130 = 8x + 151

Reorder the terms:

130 + 5x = 8x + 151

Reorder the terms:

130 + 5x = 151 + 8x

Solving

130 + 5x = 151 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

130 + 5x + -8x = 151 + 8x + -8x

Combine like terms: 5x + -8x = -3x

130 + -3x = 151 + 8x + -8x

Combine like terms: 8x + -8x = 0

130 + -3x = 151 + 0

130 + -3x = 151

Add '-130' to each side of the equation.

130 + -130 + -3x = 151 + -130

Combine like terms: 130 + -130 = 0

0 + -3x = 151 + -130

-3x = 151 + -130

Combine like terms: 151 + -130 = 21

-3x = 21

Divide each side by '-3'.

x = -7

Simplifying

5 0

2 years ago

Read 2 more answers

In the figure, ∠ABD = 50° and ∠BCD = 60°. Calculate ∠ADC and ∠ADO.​

In the figure, ∠ABD = 50° and ∠BCD = 60°. Calculate ∠ADC and ∠ADO.