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Lisa [10]
3 years ago
5

Why is it not possible to know the exact value of an irrational number?

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

An irrational number has a repeating decimal digits that continues on infinitely

Step-by-step explanation:

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Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

dz/dt = 68 mph

6 0
3 years ago
The base of a prism is a right triangle with a base and height measurement of 12cm and a 5cm. If the volume of the prism is 210c
bezimeni [28]

Answer:

The height is 7 cm

Step-by-step explanation:

210 × 2 = 420

12 × 5 = 60

420 ÷ 60 = 7

6 0
3 years ago
Read 2 more answers
The graphs below have the same shape. What is the equation of the blue graph?
Anna11 [10]

Answer:

My best guess will have to be B

Step-by-step explanation:

i remember this question

6 0
3 years ago
Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)
Reika [66]

Answer:

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

3 0
3 years ago
HELPPPP<br> Whats the cross section from a vertical slice of the figure?
DochEvi [55]
A triangle, cut it straight down the middle and you get a triangle
3 0
2 years ago
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