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Sauron [17]
2 years ago
10

A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The heigh is 4 feet. How m

any square feet of glass were used to buil the aquarium? (The top of the aquarium is open) ​
Mathematics
1 answer:
topjm [15]2 years ago
8 0

sides 2 * 6 * 4 =48 and 6*4=24

bottom 6*2.5 =15

2.5*4=10

10*2=20 that's the area of 2 smaller sides

Step-by-step explanation:

we add up the dimensions together 48+20+15=83

so the final equation becomes (6*2.5)+2(2.5*4)+2*(6*4)=83

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solve this word problem leading to quadratic equation: the area of a rectangle is 60cm². The length is 11cm more than the width.
morpeh [17]

Answer:

Step-by-step explanation:

let : x The length and y the width you have this system :

xy =60....(1)

x = y+10...(2)

put the value for x in (1):  (y+10)y =60

the quadratic equation is : y² +10y - 60 = 0

Δ =b² - 4ac        a = 1        b= 10      c= - 60

Δ =10² - 4(1)(-60) = 324 =18²

y 1 = (-10-18)/2 negatif...... refused

y 2 = (-10+18)/2 =4

the width is 4

8 0
3 years ago
Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple co
erastova [34]

Answer:

<h2>0.85</h2>

Step-by-step explanation:

apple cost = total cost - grapes package cost

5 apples cost = 6.60 - 2.35

= 4.25

per apple cost = 4.25 ÷ 5

= 0.85

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4 0
3 years ago
What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0
3 years ago
Enter the reciprocal of the number. Write your answer in its simplest form.
notka56 [123]
12/1 or in simplest form 12. Hope this helps!
4 0
3 years ago
5!(3!)/4!<br><br> all include factorials. what to do?
shtirl [24]
5! Is the same as 5x4x3x2x1 and 4! Is the same as 4x3x2x1 because 4! Is in the denominator it cancels the 4x3x2x1 in the numerator and you are left with 5x(3!) witch is the same a 5x3x2x1. The answer=30
6 0
3 years ago
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