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postnew [5]
3 years ago
7

Use your estimation skills to place each of the following onto the number line.

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

1)√3 = 1.73 (near +2 left)

2)√10 = 3+something (near +3, towards RHS)

3)√26 = 5+something (near +5, towards RHS)

4)-√5 = -2-something (near -2 towards left)

5)-√14 = -4+something (near -4 towards right)

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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan
denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

\theta=32.5\° is the the angle of elevation

d=35.6 km is the horizontal distance between the plane and the radar station

x is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

cos\theta=\frac{d}{x} because d is the adjacent side of the right triangle

cos(32.5\°)=\frac{35.6 km}{x}

Finding x:

x=\frac{35.6 km}{cos(32.5\°)}

x=42.21 km

4 0
3 years ago
Jim's father bought a new car 3 years ago for
Alexus [3.1K]

30% of 50,400 = 30240.

Therefore the percentage loss is 30% over the course of 3 years.

4 0
3 years ago
If g(x) =x^2 + 1, find g(4)
Papessa [141]

Answer:

17

Step-by-step explanation:

Since we are evaluating <em>g(x)</em> for g(4), we would substitute <em>x</em> in the equation with 4.

<em>x</em>² + 1

(4)²+ 1

16 + 1

17

I hope this helps

4 0
3 years ago
Write the word sentence as an inequality.
IrinaVladis [17]

Answer:

The inequality can be any number less than 10.

Step-by-step explanation:Like 9,8,7,6,5,4,3,2, and 1

8 0
3 years ago
Read 2 more answers
Find the 12th and 37th term for each arithmetic sequence.
shutvik [7]

Answer:

  3.  f(12) = -10; f(37) = -60

  4.  f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

  f(12) = 12 -2(12-1) = 12 -22 = -10

  f(37) = 12 -2(37-1) = 12 -72 = -60

__

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

  f(12) = 8 -10(12 -1) = -102

  f(37) = 8 -10(37-1) = -352

5 0
3 years ago
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