Answer:
136
Step-by-step explanation:
x = 1/2 (arc(XY) + arc(WZ) )
Arc (XY ) = 142
Arc(WZ) = 130
x = 1/2 (142 + 130)
x = 1/2 (272)
x = 136
Hope there are
3(x-4) >= 5x^2 or this 2 from the end what mean ?
3x-12 >=5x^2
0>=5xˇ2 -3x +12
5x^2 -3x +12 =0
D = 9 -240 = -150 so what mean that this equation has not real solutions
Solution:
<u>We know that:</u>
- The base angles are equivalent.
<u>This means that:</u>
- This triangle is an isosceles triangle.
- The legs of the triangle are equivalent.
<em>Let's use Pythagoras theorem to find z.</em>
<u>Finding z using Pythagoras theorem.</u>
Thus, the value of z is 8.
Step-by-step explanation:
since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.
Length of bigger package = <em><u>8</u></em><em><u>0</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>0</u></em><em><u>c</u></em><em><u>m</u></em>
Width of bigger package =<em><u>2</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>3</u></em><em><u>9</u></em><em><u>0</u></em><em><u>.</u></em><em><u>6</u></em><em><u>2</u></em><em><u>5</u></em><em><u>c</u></em><em><u>m</u></em>
Height of bigger package =<em><u>4</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>7</u></em><em><u>0</u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>cm</u></em>
Let the number of professors be x.
Hence, number of students = 16x
Professors + students = 17000
x + 16x = 17000
17x = 17000
x = 1000
Thus,
Number of professors = 1000
Number of students = 1000 * 16 = 16000