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Free_Kalibri [48]
3 years ago
5

The distance between two points on a number line can be found by taking the ____A_____ of the ____B_____ of the coordinates. Fil

l in the blanks in the previous sentence by matching the letter for each blank with the correct answer.
Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.

Step-by-step explanation:

  • Every point can be paired with a number on a number line
  • The coordinate is the number associated with a point
  • To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
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PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
What expression is equivalent to 2x+3y-x-(8+1)
Paha777 [63]

Answer:

Step-by-step explanation:

2x + 3y - x - 9

x + 3y - 9

3 0
3 years ago
A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile
velikii [3]
F the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

 w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2 radius), that is:

w=180*(1/2*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
8 0
3 years ago
Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2<br> Scientific notation PLS!
marusya05 [52]

3.14 \times 107 = 335.98
(335.98) \times (1.3 \times 10 - 3) \div 0.2
1.3 \times 10 = 13 - 3 = 10
(335.98) \times (10) \div 0.2
335.98 \times 10 = 3359.8
3359.8  \div 0.2 = 16799
1.6799 \times  {10}^{4}


5 0
3 years ago
For the function y=8−5x, what is the ordered pair when x=7?
zzz [600]

Answer:

Ordered pairs are (0,7) , (1,8) , (-1,6) and (-7,0)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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