Answer:
Its 6.71
Step-by-step explanation:
Because using the formula, a^2+b^2=c2.
so it’s 3^2+6^2=6.71!
GOOD LUCK BOI OK
In step two. If we look on the left side of the equation in the first step, it reads 4(2x-4). When a number is multiplying an expression in brackets, we have to multiply every term in the brackets by the number in front of the brackets. In this case, it would be 4*2x + 4*(-4), which is 8x - 16. So the correct option would be the second (8x-16=16+2x) (the right side of the eqtn was 8+2x+8 and if we combine like terms we get 16+2x)
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange
a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple
</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span>
</span>
-> The apple ts 20% lighter than the grapefruit.
Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:
28 units
Step-by-step explanation:
Since the perimeter of both triangles is same,
the sum of all sides of first triangle = sum of all sides of second triangle
or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2
or, 12x + 4 = 13x + 2
or, 4-2 = 13x - 12x
or, 2 = x
Now,
Putting the value of x in the perimeter of first triangle,
12x + 4= 12* 2+ 4
= 28 units
