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3 years ago

Plz help!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Andrews [41]3 years ago

8 0

Perpendiculars are any lines that intersect to make or forms a right angle.

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Rounded to the nearest hundredth 0.96

Andru [333]

0.963=0.96 rounded to the nearest hundredth
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3 years ago

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54 over 100 in simplest form

alex41 [277]

It would be 27/50
54/2 = 27
100/2 = 50

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3 years ago

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Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

earnstyle [38]

Answer:this item, we are given with the radius equal to 22 cm.

In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2)(√3)

Step-by-step explanation:

If we let s be the side of the triangle then,

s/2 = r(1/2)(√3)

Multiplying the equation by 2,

s = r√3

Substituting,

s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,

A = (√3 / 4)(s²)

Substituting,

A = (√3 / 4)(22√3)² = 628.7 cm²

Therefore, the answer to this item is the first choice.

4 0

3 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

(a-12)x=a+8 if this equation has no solution and a is a constant. what is the value of a

lbvjy [14]

Answer:

a=12

Step-by-step explanation:

If you solve for x, you divide by (a-12) to isolate x on the left side:

x = (a+8)/(a-12)

If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.

6 0

3 years ago