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2 years ago

5 m 12 m What is the length of the hypotenuse? m

Mathematics

2 answers:

Gelneren [198K]2 years ago

6 0

Answer:

the length is 40m

Step-by-step explanation:

Zanzabum2 years ago

5 0

The length of the hypotenuse is 13.

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A rectangle is 3 times as long as it is wide, and its perimeter is 80 centimeters. Find its dimensions

Free_Kalibri [48]

Say the width is W and the length is L

L=3W (and of course W=W)

Now you use the perimeter formula P=2L+2W

80=2(3W) + 2W)

80=6W+2W

80=8W Divide both sides by 8

W=10

Now that you know the width, substitute it back into L=3W to find the length

L=3(10)

L=30

The dimensions are length: 30 cm and width: 10 cm

8 0

3 years ago

Simplify this following question:

Savatey [412]

I hope this helps you

5 0

3 years ago

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:

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

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

7 0

3 years ago

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

Leto [7]

2x-4=3-x +1
<span>Simplifying 2x + -4 = 3 + -1x + 1
Reorder the terms: -4 + 2x = 3 + -1x + 1
Reorder the terms: -4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
Solving -4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0 -4 + 3x = 4 + 0 -4 + 3x = 4
Add '4' to each side of the equation. -4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0 0 + 3x = 4 + 4 3x = 4 + 4
Combine like terms: 4 + 4 = 8 3x = 8
Divide each side by '3'. x = 2.666666667
Simplifying x = 2.666666667</span>

8 0

3 years ago

Read 2 more answers

Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manag

Triss [41]

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86, n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))

p( non is defective ) = ( 81 / 86) × (80/85)

p( non is defective ) = 0.8865

Therefore, the probability that the shipment is accepted is 0.8865

7 0

2 years ago