Answer:
11.25cm^2
Step-by-step explanation:
given the area of the rectangle as 40cm^2, we can get the width of the rectangle.
Area =Length x width
40cm^2 = 8cm x width
we can divide both sides 8 to be left with the width
40/8 = 5cm
so the width is 5cm which is equal to the height of the triangle.
Area of BDC = 1/2 x base x height
BDC = 1/2 x 4.5 x 5
=11.25cm^2
multiply both sides by the reciprocal
x = 85⅓
We would expect her to make about 85 business calls in a month.
Step-by-step explanation:
The equation means "3/8 of the unknown total is 32"
When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.
8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.
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I hope I read this question correctly. The coding for the fraction made it a bit confusing.
Answer:
116/125 x
Step-by-step explanation:
100%-7.2%=92.8%=116/125 x
Answer:
y = 6
x = 4
Step-by-step explanation:
to evaluate this system of equation using substitution method, we would say that let
-4x+6y=20................................... equation 1
4x-3y=-2................................................................... equation 2
from equation 1
-4x+6y=20................................... equation 1
-4x = 20 -6y
divide both sides by -4
-4x/-4 = 20- 6y/-4
x = -( 20 - 6Y)/4............................................................ EQUATION 3
Substitute the value of x into equation 2
4x-3y=-2................................................................... equation 2
4 ( 20 - 6y)/-4 - 3y = -2
- (20 - 6y) - 3y = -2
-20 + 6y -3y = -2
collect the like terms
6y -3y = -2 + 20
3y = 18
divide both sides by the coefficient of y
3y/3 = 18/3
y = 6
substitute the value of y = 6 into equation 3
x = -( 20 - 6Y)/4............................................................ EQUATION 3
x = 20 -6(6)/-4
x = 20 - 36/-4
x = -16/-4
x = 4
therefore the value of x and y is 4 and 6 respectively.
Answer:
x = 3√5
Step-by-step explanation:
we can use the Pythagorean Theorem twice, first to find the longer leg of the left triangle:
7² + b² = 10²
b² = 100-49
b² = 51
b = √51 which we can simplify to be √9·√3·√3 = 3·3 = 9
we can use the Pythagorean Theorem next to find 'x':
x² + 6² = 9²
x² + 36 = 81
x² = 45
x = √45 = √9·√5 or 3√5