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algol13
3 years ago
9

A leaking faucet drips into a bucket. The faucet drips at a constant rate. The level of water in the bucket rises

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer:

The per hour rate is 0.5 inches per hour

Step-by-step explanation:

Here, we want to calculate the rate at which the level of the water increased

Mathematically, we can get this by dividing the amount of increment by the time it took

That would be 3 inches divided by 6 hours

= 3/6 = 0.5 inches per hour

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Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.

The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.

Vertically opposite angles (vertical angles) are congruent.  Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or 
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6 0
3 years ago
Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x)=2(3x+4)(x^2+2)
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The best way to find out the answer to your question is to graph the cubic. As you can see, the y intercept is (0,16).

How was this obtained. notice that if x = 0 then

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f(0) = 2(4)(2)

f(0) = 16 just as the graph tells us.

3 0
3 years ago
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(
GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  mm^2

The surface area of the triangular prism is 55.5,127.5,135,or 150  mm^2

Answer:

(B)2 triangular faces

(C)3 lateral faces.

(A)Area of one Triangular Face =7.5mm^2

(C)Total Surface Area of the Triangular prism =135mm^2

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face =\frac{1}{2}*6*2.5=7.5mm^2

The dimensions of the lateral rectangles are:

  • 2.5 mm by 8mm
  • 6 mm by 8mm
  • 6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2

Total Surface Area of the Triangular prism =135mm^2

8 0
3 years ago
Write a numerical expression that represents the quotient of 85 minus 7 and 19
disa [49]

Answer:

85-7-19 or 85-26

Step-by-step explanation:

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