Answer:
hypotenuse is 22.47 m
Step-by-step explanation:
The length of both legs of a right angle triangle are 8m and 21 m
We need to find the hypotenuse
To find hypotenuse we use Pythagorean theorem
Hypotenuse is AC and other two legs are AB and BC

Hypotenuse ^2 = 8^2 + 21^2
hypotenuse = 
= 
= 
= 22.47
So the length of the hypotenuse is 22.47 m
Answer:
y = -1/2x
Step-by-step explanation:
The y - intercept is 0, because the point where the line touches the y - axis is y - value of 0
The slope is -1/2 because as it rises by -10, it runs by 20
Slope is rise/run which is -10/20 which simplifies to -1/2
y = mx + b
b = y - intercept
m = slope
y = -1/2x + 0 or y = -1/2x
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6+7 is that good i hope so
The value of x is -8
Step-by-step explanation:
The steps of solving an equation of one variable
- Simplify the two sides of the equation
- Separate the variable in one side and the numerical term in the other side
- Divide the both sides by the coefficient of the variable
∵ 372 = -3x - 6(8x + 6)
- Simplify the R.H.S. of the equation by multiplying the bracket by 6
∵ 372 = -3x - [6(8x) + 6(6)]
- You must put the square bracket because the sign in-front of 6
is (-) and the (-) changes the signs after it
∴ 372 = -3x - [48x + 36]
- Remember (-)(+) = (-), multiply the square bracket by (-)
∴ 372 = -3x - 48x - 36
- Add the like terms in the R.H.S.
∴ 372 = -51x - 36
- Add 36 to both sides to separate x in the R.H.S.
∴ 408 = -51x
- Divide both sides by -51 (coefficient of x)
∴ -8 = x
I hope these steps help you
The value of x is -8
Learn more:
You can learn more about the equations in brainly.com/question/11306893
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Answer:
The frequency table is shown below.
Step-by-step explanation:
(i) Half of the tuna sandwich were on white bread = 21
On brown bread, tuna = 42 - 21 = 21
(ii) 25% of the ham sandwiches sold were on brown bread.
= 25% (32) = 8
On white bread, 32 - 8 = 24
Frequency table:
Tuna Cheese Ham Total
Brown 21 11 8 40
White 21 15 24 60
Total 42 26 32 100