Answer:
46.57
Step-by-step explanation:
Given that:
h(t) = 37t - 4.9t²
When the ball reaches the ground, then the height is zero;
So, we equate h(t) to zero and solve for t
37t - 4.9t² = 0
t = 0, 7.55
Let the Initial time be a = t = 0
The time the ball reaches the ground be b = 7.55
So, the average height can now be calculated as:
Average height = 
= 
= 
= 
= 46.57091665
≅ 46.57 to (2 decimal places)
Answer:
b. -x + y = 0
Step-by-step explanation:
<u />
<u>Direct variation</u>:
Direct variation means "y varies directly as x”:

where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.
<u>Equation a</u>

This is not a direct variation equation as there is an addition of -2.
<u>Equation b</u>


This is a direct variation equation where the constant of variation is 1.
<u>Equation c</u>


This is not a direct variation equation as y is <u>inversely proportional</u> to x.
<u>Equation d</u>

This equation does not include the variable x, and so is therefore not a direct variation equation.
Answer: it could end in 20 different ways.
Step-by-step explanation:
This match could be
3x0 D or F
3x1 D or F
3x2 D or F
For 3x0
We have 2 options: DDD or FFF
2.P₁ = 2.1 = 2
For 3x1
We have 6 options
DFDD FDFF
DDFD FFDF
FDDD DFFF
2.3.1 = 6
For 3x2
we have 12 options:
DFDFD FDFDF
DDFFD FFDDF
DFFDD FDDFF
FFDDD DDFFF
FDFDD DFDFF
FDDFD DFFDF
2.3.2 = 12
In total we could have 20 outcomes.
Answer:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
I think first you must Unification of denominatorsit will 60 for (3,4,5) so you will get
2\5 = 24\60
1\4 = 15\60
1\3 = 20 \60
then you divide each one apart then multiply by total number (3,800)
so :
24\60 * 3800 = 1520
15\60 * 3800 = 950
20 \60 * 3800 = 1267
_____
note : when you will gather results you will get Approximate number to 3800
i hope i helped