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Arte-miy333 [17]
3 years ago
10

write the condition to be satisfied by q so that a rational number p/q has a terminating decimal expansion​

Mathematics
1 answer:
hjlf3 years ago
6 0
For a rational number to have a terminating decimal expansion
q should be in the form 5^m and 2^n or both. If q is not in the form of either then it is a non terminating recurring decimal expansion
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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed
Olegator [25]

Answer:

The length of shadow decrease at 0.48 m/s.

Step-by-step explanation:

The distance of man from building = x

Thus initially, x = 12

It is given that dx/dt= -1.3 m/s

Let the shadow height = Y  

Now solve for the dy/dt when x=4

from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.

\frac{2}{12-x} = \frac{y}{12} \\Y = \frac{24}{12 - x} \\ \frac{dy}{dt} = \frac{24}{(12-x)^{2}} \times \frac{dx}{dt} \\at x=4, dy/dt \ becomes: \\\frac{24}{(12-4)^2} \times -1.3 \\= -0.48 m/s

8 0
3 years ago
Given: ΔABC. If ∠B = 35°, a = 4.5 cm, and b = 6.0 cm, what is the measurement of ∠A to the nearest tenth of a degree?
soldier1979 [14.2K]
We know that

the law of sines established 
a/sin A=b/sin B--------sin A=[a*sin B]/b
a=4.5 cm
b=6 cm
B=35°
so
sin A=[4.5*sin 35°]/6-----> sin A=0.43018
A=arc sin(0.43018)-------> A=25.5°

the answer is the option
<span>C) 25.5° </span>


6 0
2 years ago
Simplify 2(4+8)÷2(8+8)​
inna [77]

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

6 0
3 years ago
Read 2 more answers
What is the best interpretation of the y-intercept of the line?
quester [9]

Answer:

Option D. A student who studies 0 hours can expect to score about a 60 on the test

Step-by-step explanation:

we know that

The y-intercept is the value of the y-coordinate when the value of the x-coordinate is equal to zero

In this problem

The x-coordinate represent the hours spent studying

The y-coordinate represent the Test score

so

For x=0, y=60

That means

A student who studies 0 hours can expect to score about a 60 on the test

3 0
2 years ago
Read 2 more answers
PLEASE HELP I WILL PUT MORE QUESTIONS IN COMMENTS
just olya [345]
3610.201 this the answer if u want in de imal
8 0
3 years ago
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