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miskamm [114]
3 years ago
10

Solve for x ???????????

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
Do you recognize that the hypotenuse here has the length 22 and that the opposite side is the unknown (x)?  The angle is 21 degrees.

This is a perfect application of the tangent function:

tan 21 deg = opp / adj = opp / 22 = x / 22

tan 21 deg = 0.384                             so x would be 22 tan 21 deg, or
                                                                x = 22*(0.384)
                                                                   = 8.45  (answer)
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Write an equation of a circle whose center is (-5,4) and whose diameter is 12
musickatia [10]

Answer:

(x + 5)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus

(x - (- 5))² + (y - 4)² = 6², that is

(x + 5)² + (y - 4)² = 36

3 0
3 years ago
PLS HELP DUE IN 10 MINUTES I WILL GIVE BRAINLIEST FIVE STARS AND A THANKS NO JOKE IM RLLY DESPERATE SO PLS HELPPPPPP :c IF U DID
frutty [35]

Answer:

-1/2

Step-by-step explanation:

counting down by 2 over one

6 0
2 years ago
What is the equation of the line containing the points (3,1), (9,3) and (27,9)
aleksley [76]

Answer:

y = (1/3)x

Step-by-step explanation:

If this is truly a line, then we can find its equation using any two of the three given points.  If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8.  Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.

Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b.  Thus, b = 0, and the line is y = (1/3)x.

5 0
3 years ago
Read 2 more answers
On the grid, sketch a graph to represent
Greeley [361]

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;

\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance  \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}

The plot of the above point is completed using MS Excel as shown in the attached diagram.

7 0
2 years ago
Pls help! Answer quick
Simora [160]

Answer:

Thursday

Step-by-step explanation:

Positive sign denotes that it has gained

3 0
2 years ago
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