3 years ago

Solve & Share

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

8 0

he need 26 centimeters

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Simplify the expressions: cot 0 sec 0 A. Sin0 B. Csc0 C. Cos0 D. Cos* 0

raketka [301]

Cot 0 is undefinded, sec0=1
A. Sin0=0
B. Csc(0) = 1/sin(0). Since there is no number 1/0, csc(0) is undefined.
C. Cos0=1
D. Cos 0=1

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2 years ago

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A hot-air balloon is 160 ftabove the ground when a motorcycle (traveling in a straight line on a horizontal road) passes dire

Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

$z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft$

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$d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}$

#We then substitute the values given in the question to solve for $dz$ :

$dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78$

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s

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3 years ago

Suppose the point P = ( - 10,6) is reflected across the x-axis to the point P'.

mash [69]

Answer:

(-10,-6)

Step-by-step explanation:

When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.

Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:

(-10,-6)

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2 years ago

Solve the equation n + 32=60

Juli2301 [7.4K]

N would equal 28 since 60-32 is 28

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3 years ago

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Simplify the expression(2x²y)^3

raketka [301]

Answer:

8x^6y^3

Step-by-step explanation:

(2x2y)3

=8x6y3

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3 years ago