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xeze [42]
3 years ago
12

State if the triangle is each pair are similar

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0
<span>http://www.dictionary.com/browse/similar

This should help</span>
You might be interested in
Nathan has some overdue library materials. He has a DVD that occurs a fine of one. $15 per day and a book that occurs $0.35 per
Evgen [1.6K]

Answer:

1.15x + 0.35x = 22.50

Step-by-step explanation:

Let x = number of days

If:

  • DVD incurs an overdue fine of $1.15 per day
  • book occurs an overdue fine of $0.35 per day
  • total fine = $22.50

1.15x + 0.35x = 22.50

8 0
2 years ago
What is the area of the triangle
Anna11 [10]

Answer:

10

Step-by-step explanation:

1. The area of triangle is = (A*h)/2, where h is the height grounded on side A.

2. Given the height 5 and the side 4 we get S(area)=(5*4)/2=10.

4 0
3 years ago
Please help me!!!! Help me find the dimensions. :(
Gnom [1K]
The volume, surface area and the ratios of the SA to volume will be as follows:
Volume=πr²h
Area=2πr²+πdh
Ratio of SA to volume=Area/volume
π=3.14
Thus using the above formula:

1.
a]
Radius: 3 inches
Height: 2 inches
Volume=πr²h
volume=π×3²×2=56.52 in³

b]
Area=2πr²+πdh
2×π×3²+π×2×3×2
=56.55+37.68
=94.23 in²

c]
Ratio=area/volume
=94.23/56.52
=1.6672


1. 
Radius: 2 inches
Height: 9 inches

a]
V=πr²h
V=3.14*2^2*9
V=113.04 in³

b] 
Area=2πr²+πdh
=2*3.14*2^2+3.14*2*2*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

3.
Diameter=4 inches
Height= 9 inches

a]
V=πr²h
V=3.14×2²×9
V=113.04

b]
Area=2πr²+πdh
=2*3.14*2^2+3.14*4*9
=25.12+113.04
=138.16 in²

c]
Ratio=area/volume
=138.16/113.04
=11/9

4]
Diameter: 6 inches
Height: 4 inches

a]
Volume=πr²h
=3.14×3²×4
=113.04 in³

b]
Area=2πr²+πdh
=2×3.14×3²+3.14×6×4
=56.52+75.36
=131.88 in²

c] Ratio
131.88/113.04
=7/6

1. For the surface area to volume to be small it means that the area is smaller than the volume, for surface area to volume  be larger it means that the surface area is larger than the volume. It is more economical for the surface area to volume to be small because it will mean that small amount of materials make cans with large volume. This means cost of production is cheaper.

2. To evaluate this process let's use one of the dimensions:
Radius: 3 inches
Height: 2 inches:

i. add radius and height:
3+2=5 inches
ii. Multiply radius and height:
3×2=6
iii. Dividing the result from step 1 by the result in step 2:
5/6

iv. Multiply the result from step 3 by 2:
5/6×6
=5
This result does not seem to add up to the result in our earlier ratio. Thus we conclude that Khianna was wrong. This method can't work with 3-D figures.


7 0
4 years ago
Which expression is equivalent to this expression?<br><br> x(2x + 3)
Valentin [98]

Use distributive property: a(b + c) = ab + ac


x(2x + 3) = (x)(2x) + (x)(3) = 2x² + 3x

7 0
3 years ago
A box is contructed out of two different types of metal. the metal for the top and bottom, which are both square, costs $3 per s
zysi [14]

Let x ft be the length of the base square and y ft be the height of the box.

The volume of the box is

V=x\cdot x\cdot y\ ft^3.

Since the box has a volume of 15 cubic feet, then

x^2y=15,\\ \\y=\dfrac{15}{x^2}.

You need to construct two squares from the metal that cost $3 per square foot.

The area of each square is x^2\ ft^2 and the total cost for these two squares is 2\cdot x^2\cdot 3=6x^2.

The area of each side face is x\cdot y=x\cdot \dfrac{15}{x^2}=\dfrac{15}{x}. Then the total cost for sides is 4\cdot \dfrac{15}{x}\cdot 10=\dfrac{600}{x}.

Let S(x) be the function that represents total cost of the box, then

S(x)=6x^2+\dfrac{600}{x}.

Find the derivative:

S'(x)=12x-\dfrac{600}{x^2}.

When S'(x)=0, then 12x-\dfrac{600}{x^2}=0,\\ \\12x^3=600,\\ \\x^3=50,\\ \\x=\sqrt[3]{50}\ ft.

The dimensions of the box are:

length and width - \sqrt[3]{50}\ ft

height - \dfrac{15}{\sqrt[3]{2500}}\ ft.

4 0
3 years ago
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