Answer:
The largest angle is 90 degrees
Step-by-step explanation:
The three angles of a triangle add to 180
The ratio is 10 : 3: 7
Multiply each by x
10x, 3x 7x
Add them together and set equal to 180
10x+3x+7x = 180
Combine like terms
20x = 180
Divide by 20
20x/20x =180/20
x = 9
The largest angle is 10x
10*9 = 90
The largest angle is 90 degrees
The y intercept is zero because it crosses the y axis at 0
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Let us change the sentence into mathematics:
Area of rectangle = 35 m²
Length of rectangle is 3 m more than twice the width = 3 + 3w
Width = w
We know the area formula of a rectangle
Area = length × width
Dimensions of the rectangle are:
35 = w ( 3 + 2w )
35 = 3w + 2w²
Take all values to one side and equate to 0
2w² + 3w - 35 = 0
Factor:
( 2w - 7 ) ( w + 5 ) = 0
w =
or w = - 5 ( Reject because lengths can never be negative )
Therefore the dimensions are:
Width = 3.5 mLength = 3 + 2 ( 3.5 ) = 10 m
Answer:
2s + 30 = 2s
Step-by-step explanation:
Time up hill + time down hill = total time
:
Multiply equation by 30s; results
2s + 30 = 2s
:
Answer:
x>= -12
Step-by-step explanation:
x/8>=-1.5
*8 *8
x>= -12