Answer:
x=24
Step-by-step explanation:
1. Multiply all terms by the same value to eliminate fraction denominators
x/3=8
3(x/3)=8(3)
2. Cancel multipled terms that are in the same denminator
3(x/3)=8(3)
x=3(8)
3. Multiply the numbers
x=3(8)
x=24
6.5 is the answer. You can check by 6.5x8=52
Answer:
151.5 cm^2
Step-by-step explanation:
lets cut stright acrros so you have a triangle 13 (base) by 3 cm (high)
area of a triangle is 1/2 base times hight --> 13x3/2 = 19.5cm^2
now lets doi the rectangle that is 12 by 11
Length times hight is the area is 132
add both areas 132 + 19.5
Let's solve your equation step-by-step.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span>
Step 1: Simplify both sides of the equation.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span><span>
Simplify: (Show steps)</span><span><span><span>
2x</span>+<span>2/3</span></span>=5</span>
Step 2: Subtract 2/3 from both sides.<span><span><span><span>
2x</span>+<span>2/3</span></span>−<span>2/3</span></span>=<span>5−<span>2/3</span></span></span><span><span>
2x</span>=<span>13/3</span></span>
Step 3: Divide both sides by 2.<span><span><span>
2x/</span>2</span>=<span><span>13/3/</span>2</span></span><span>
x=<span>13/6</span></span>
Answer:<span>
x=<span>13/<span>6</span></span></span>
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
