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Lostsunrise [7]
2 years ago
8

Find the surface area of the prism.

Mathematics
1 answer:
ikadub [295]2 years ago
7 0

s \: a \:  = (2 \times  \frac{1}{2}  \times 4 \times 6) + (3 \times 2 \times 5) \\

s \: a \:  = 24 + 30

s \: a \:  = 54 \:  \:  {yd}^{2}

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How is this equation completed? I cannot find any examples in the book.
djverab [1.8K]

Answer: Option D

t_{max} =19\ s

Step-by-step explanation:

Note that the projectile height as a function of time is given by the quadratic equation

h = -12t ^ 2 + 456t

To find the maximum height of the projectile we must find the maximum value of the quadratic function.

By definition the maximum value of a quadratic equation of the form

at ^ 2 + bt + c is located on the vertex of the parabola:

t_{max}= -\frac{b}{2a}

Where a

In this case the equation is: h = -12t ^ 2 + 456t

Then

a=-12\\b=456\\c=0

So:

t_{max} = -\frac{456}{2*(-12)}

t_{max} =19\ s

7 0
3 years ago
Which expression is equivalent to 1/27 ( 1 over 27 ) ?
harkovskaia [24]

Answer:

Option D

Step-by-step explanation:

Option A:

(3)¹ × (3)⁻¹⁰   =  (3)⁽¹⁻¹⁰⁾   = 3⁹

= 4\frac{1}{3^9}

= 4\frac{1}{19683}

Option B :

(3)⁻¹ × (3) ¹⁰   = 3⁽¹⁰⁻¹⁾

= 3⁹

= 19683

Option C :

(3⁻⁴) × (3)⁷   = 3⁽⁷⁻⁴⁾

               = 3³

Option D :

3⁴ × 3⁻⁷ = 3⁴⁻⁷

= 3⁻³

=  4\frac{1}{3^3}

= 4\frac{1}{27}

Therefore, option D is the answer.

3 0
3 years ago
Read 2 more answers
I need help finding the slope anyone help ​
klio [65]
Can you put a picture so we can see what it look like
6 0
2 years ago
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The percentage difference from 239,900 to 251,895
Katarina [22]

Answer:

4.87805%

Step-by-step explanation:

yuh yw

4 0
2 years ago
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Can someone explain this? :)
Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0
3 years ago
Read 2 more answers
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