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Ostrovityanka [42]
3 years ago
5

maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she,

in feet, from her starting location?
Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

132 feet

Step-by-step explanation:

22+60+70

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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
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vazorg [7]
2)The goal is to isolate the variable and get is down to x<?. This is actually a two step inequality problem. 0.7x - 2 < 5.5       +2   +2 0.7x<7.5 This implies: x<10.714 The way to graph this is to place an open circle of the number 10.714 on the number line indicating this number is not included  as a solution to the inequality. Then draw the arrow going left from the open circle indicating all numbers from -∞ to 10.714.
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If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept.  We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope.  One of the points we can use is (0, 3) which is also the y intercept.  The y-intercept is found where x = 0.  Where x = 0, y = 3.  So b = 3.  Now for the slope we will use (0,3) and (4,4):  m= \frac{4-3}{4-0} = \frac{1}{4}.  Using that m value and that b value we have the equation y= \frac{1}{4}x+3.  There you go!
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3 years ago
If 5-3(2a+1)=-4a+10, what is the value of a+2​
AlekseyPX

Answer:

-2

<em>BRAINLIEST, PLEASE!</em>

Step-by-step explanation:

5 - 3(2a + 1) = -4a + 10

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Step-by-step explanation:

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