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lawyer [7]
3 years ago
12

find the volume of A trapezoid prism of height 4Km.The parallel sides of the base have length 8km and 5km. The other sides of th

e base are 2km each. The trapezoid altitude is 1.5km.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

Volume of prism = 39 km cubed

Step-by-step explanation:

<u>IMPORTANT FORMULA: Volume of any prism = Area of base * Height </u>

<u />

In this case, <u><em>the area of the base</em></u> means <u><em>the area of the trapezoid. </em></u>

Area of trapezoid = base1+base2/2  * height

Area of trapezoid = 8+5/2  * 1.5

Area of trapezoid = 13/2  * 1.5 = 9.75

We already know that the height of the trapezoidal prism is 4 kilometers.

So, we have all of the values that are needed to correctly fill in the formula.

Volume of the prism = 9.75 * 4 = 39  

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I WILL GIVE FIRST ANSWER BRAINLIEST
Ostrovityanka [42]

Answer:

1) Papa Ron's(60$ per shift)

2) Little Squeezer's(3$ per pizza)

3) Little Squeezer's

Explanation:

1) A shift's pay is money given for simply entering the workplace(at least in this problem!) So it would be money given whether Tony has delivered pizzas or not. It would be numerically equal to his pay when he doesn't deliver any pizzas.

Bombino's offers 56$ per shift(stated in Q),

Little Squeezer's offers 48$ when he has delivered no pizzas, thus it must be his pay per shift.

Pizza Tent offers 52$ when he has delivered zero pizzas(substitute  

p

=

0

in the given function S)

The graph shows that Papa Ron's offers 60$ when no pizzas are delivered. This is clearly the best pay per shift. (when  

x

=

0

,  

y

=

60

)

2) Bombino's: 2.5$ per pizza(stated)

Little Squeezers gives 6$ more than his default pay(which he would get even if he didn't deliver anything) when Tony has delivered 2 pizzas. Thus it gives 3$ per pizza.

Pizza Tent gives 2.75$ per pizza. This can be inferred from S.

S

=

2.75

p

+

52

Here, 52 is his default pay. He gets 2.75$ for each pizza delivered, as it is the coefficient of  

p

.

Papa Ron's pay per pizza can be calculated by finding the slope of the line in the graph.  

S

l

o

p

e

=

R

i

s

e

R

u

n

Here, I take the points (64, 2) and (60, 0).  

S

l

o

p

e

=

64

−

60

2

−

0

Thus the pay is 2$ per pizza delivered. For simplicity, I will define Papa Ron's pay as a function  

R

=

2

p

+

60

(Notice that 2 is the slope and 60 is the base pay)

Clearly, Little Squeezer's offers the most per pizza.

3) To figure this question out, we will need to find pay when Tony delivers 20 pizzas for each restaurant.

Bombino's pays  

56

+

2.5

(

20

)

=

106

$

Little Squeezer's pays  

48

+

3

(

20

)

=

108

$

Pizza Tent pays  

52

+

2.75

(

20

)

=

107

$

Papa Ron's pays  

60

+

2

(

20

)

=

100

$

So, Little Squeezer's is the company that pays best when Tony is delivering over 19 pizzas.

(This is a long question, I may have made a mistake. Please correct me if that is the case.)

Step-by-step explanation:

8 0
3 years ago
Find the volume of the figure below.
Gala2k [10]

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3 years ago
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Goshia [24]

Answer:

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Step-by-step explanation:

The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.

The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.

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morpeh [17]

Answer:

The 5 in the tens place has more value then the 5 in the ones place

Step-by-step explanation:

4 0
3 years ago
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Answer:

a trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. ...

Step-by-step explanation:


7 0
3 years ago
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