Answer:
Explanation:
P = 2(W + L)
L = 2x - 3
W = x + 4
P = 2[(x + 4) + (2x - 3)]
So thats the expression for the perimeter
Answer:
3.8
Step-by-step explanation:
only one that made sense
The volume of the composite solid is 645.97 cubic cm
<u>Step-by-step explanation:</u>
Given that,
The side of the cube = 8cm
Diameter of the hemisphere= 8cm
Radius = 4cm
Volume of cube = 8 x 8 x 8
= 512 cubic cm
Volume of hemisphere= (2/3) π (4 x 4 x 4)
= (2/3) π (64)
= (2/3) (3.14) (64)
= 133.97 cubic cm
Total volume = 512 + 133.97
= 645.97 cubic cm
The volume of the composite solid is 645.97 cubic cm
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x = 
= 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
<u>Fraction form of probability: 10/15</u>
<u>Decimal form: 0.6 repeated</u>
<u>Percent form: about 66.67%</u>
