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USPshnik [31]
3 years ago
5

What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 d

egrees.
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Answer:

Step-by-step explanation:

cos rule

YZ=sqrt(14^2+12^2-2*14*12*cos98deg)

=19.67

il63 [147K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given two sides and the angle between, the cosine rule can be used to find the third side.

YZ^2 = XZ^2 + XY^2 - 2*XZ*XY*cos(X)

YZ = (14^2 + 12^2 - 2*14*12*cos98deg)^(1/2)

= 19.666

= 19.67

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Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the p
AnnZ [28]

The ideal radius Alan must control is \frac{1}{2\pi } cm.

<h3>Define perimeter of circle.</h3>

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.

Given data -

Perimeter of circular plate = 10\pi cm

We know that perimeter of a circle is 2\pir

Therefore   10\pi = 2\pir

r = 5 cm

The given error Alan can make is +-1 cm.

Minimum radius is given by

2\pir = 10\pi - 1

r = \frac{10\pi - 1 }{2\pi }

r = 5 - \frac{1}{2\pi }

Maximum radius is given by

2\pir = 10\pi + 1

r = \frac{10\pi + 1 }{2\pi }

r = 5 + \frac{1}{2\pi }

The ideal radius Alan must control is \frac{1}{2\pi } cm.

To know more about perimeter of circle, visit:

brainly.com/question/2718232

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5 0
1 year ago
Can someone help me with this
gulaghasi [49]

Answer:

Y is 90 degrees.

Step-by-step explanation:

This is an equalterial triangle which means all of the angles are the same.  The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!

4 0
3 years ago
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Solve w^3 - 9w = 0 by factoring
madam [21]

Answer:

w = 0 , -3 , 3

Step-by-step explanation:

w³ - 9w = 0

w(w² - 9) = 0

w(w² - 3²) = 0

w(w+3)(w-3) = 0            {a² - b² = (a + b)(a - b) }

w = 0   ;  w + 3 = 0                ; w - 3 = 0

                     w = -3              ;        w = 3

w = 0 , -3 , 3

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3 years ago
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Tim added two fractions with denominators of 4 but with different numerators. The sum was 3 over 4. Which two fractions did Tim
puteri [66]

Answer:

It could be 2/4+1/4

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