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tiny-mole [99]
2 years ago
14

Find the area of the polygon.

Mathematics
1 answer:
maw [93]2 years ago
3 0

Answer:

95 m

Step-by-step explanation:

you can split the shape into three pieces so it is 4x5, 4x5, and 11x5. Add the products for the area which is 95 m

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The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
Alex17521 [72]

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

5 0
2 years ago
Write a system of linear inequalities represented by the graph.​
mestny [16]

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

8 0
2 years ago
675/8 as a mixed number in simplest form.
Alex777 [14]

The answer is 84 3/8 because 672 and the left over 3 so it would be 84 3/8.

Hope I Helped!!!!!!!!

=)=)=)=)=)=)=)

8 0
2 years ago
Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
Afina-wow [57]

Answer:

B

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

E=\frac{C*r}{1-(1+r)^{-n}}

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31

So, the correct answer is B

3 0
3 years ago
What is probability of randomly selecting a marble and getting black or red? a bag contains 5 black marbles, 10 red marbles, and
seropon [69]
This is a mutually exclusive event because you can't choose both at the same turn you can only pick one or the other. so we add the event chances together,
5/35 + 10/35 = 15/35 or reduced 3/7
7 0
2 years ago
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