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Gnoma [55]
3 years ago
6

PLEASE HELP!

Mathematics
2 answers:
Blababa [14]3 years ago
8 0
The lateral area is the area of the three triangular sides in white. Do not include the area of the triangular base in grey.

Looking at the net to the right, you see the base and height of each white triangle.

Back side: base = 6 in.; height = 5.2 in.
Right side: base = 3 in.; height = 5.8 in.
Left side: base = 6 in.; height = 5.2 in.

Area of triangle = bh/2

A(back) = (6 in.)(5.2 in.)/2 = 15.6 in.^2
A(right) = (3 in.)(5.8 in.)/2 = 8.7 in.^2
A(left) = (6 in.)(5.2 in.)/2 = 15.6 in.^2

Lateral area = 15.6 in.^2 + 8.7 in.^2 + 15.6 in.^2 =

Lateral area = 39.9 in.^2
slava [35]3 years ago
5 0
If the lateral surface is just the three side triangles: 39.9 in^2

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A smart phone regularly sells for $180.00 but is on sale for 30% off. What is the amount of the discount?
pantera1 [17]

Answer:

$54

Step-by-step explanation:

The amount of the discount can be found by multiplying 180 by 0.3 which is 54.

If you also need to know the new total it would be $126 because

180 - 54 = 126

4 0
3 years ago
Write the following as an expression: How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% al
vredina [299]

Answer:

see below

Step-by-step explanation:

amount of water w

l liter of pure alcohol = 100% alcohol

solution is 45 % percent alcohol

total amount of fluid is w+l

(w+l)( .45) = l*.100

Distribute

.45w  + .45 l = 1l

.45 w = 1l - .45l

.45 w = .55l

w = .55l / .45

w =11/9 l

3 0
3 years ago
A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1
Anna11 [10]

Answer:

7.5 ft³/min

Step-by-step explanation:

Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.

Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²

So, V = Ah = 2h = 2(10 - x)

The rate of change of volume is thus

dV/dt = d[2(10 - x)]/dt = -2dx/dt

Since dV/dt = 15 ft³/min,

dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min

Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt

= -dx/dt

= -(-7.5 ft³/min)

= 7.5 ft³/min

And the height at this point when x = 8 inches = 8 in × 1 ft/12 in  = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft

7 0
2 years ago
A woman bought some large frames for $18 each and some small frames for $4 each at a closeout sale. If she bought 16 frames for
AleksandrR [38]

Answer:

$10

Step-by-step explanation:

8 0
2 years ago
Simplify the expression (t^-2)^6
Rainbow [258]

Answer:

t^-12

Step-by-step explanation:

you multiply the -2 and 6.

5 0
3 years ago
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