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2 years ago

Five more than 3/4 of a number C is 26 find the number

Mathematics

2 answers:

Furkat [3]2 years ago

8 0

Answer:

Step-by-step explanation:

let x be the number,

(3/4)x+5=26

(3/4)x=21

x=21*(4/3)

x=28

Bumek [7]2 years ago

8 0

28 is your answer
Hope this helped a little

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A car traveling at constant speed traveled 161.5 miles in 3 1/2 hours. What was the car's speed.

dedylja [7]

161.5 miles / 3.5 hrs = 46.143 mph

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2 years ago

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3 years ago

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Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

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3 years ago

What are the coordinates of the midpoint of the segment whose endpoints are (-4,6) and (-8,-2)

umka2103 [35]

The formula to find the midpoint of a segment is ((x1 + x2)/2,),(y1 + y2)/2).

The x coordinate of the first point is -4, and the x coordinate of the second point is -8. The y coordinate of the first point is 6, and the y coordinate of the second point is -2. Now, we can plug these into our formula.

((-4 + (-8))/2), (6 + (-2))/2)) = (-12/2), (4/2) = (-6, 2)

So, (-6, 2) is the midpoint of the segment.

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2 years ago

The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Complet

otez555 [7]

Answer:

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Step-by-step explanation:

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Using the linear regression calculator :

The linear equation obtained is :

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Where ;

Slope = 0.3 ; intercept, c = 18.3

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2 years ago