Answer:
yes , 33^2 + 56^2 = 65^2 and obtuse
Step-by-step explanation:
<h2><u>Question 3</u></h2>
make use of the Pythagoras theorem
which is :
c^2 = a^2 + b^2
where c is the hypotenuse.
now put the values in the equation
65^2 = 56^2 + 33 ^2
the answer is :
<u>yes , 33^2 + 56^2 = 65^2</u>
<u></u>
<h2><u>Question 4</u></h2>
<u />
note if :
c^2 = a^2 + b^2 ----------- right
c^2 < a^2 + b^2------------ acute
c^2 > a^2 + b^2------------- obtuse
hence :
16 + 30 > 38
therefore its : <u>obtuse </u>
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.
Answer: 14
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Explanation:
Using the intersecting chord theorem, we can say,
AP*PB = CP*PD
(x+2)*6 = 7*x
6x+12 = 7x
6x+12-6x = 7x-6x
12 = x
x = 12
If x = 12, then,
AP = x+2
AP = 12+2
AP = 14
Answer:
Option c. 104 people
Step-by-step explanation:
For 1 desk : 4 people
For 2 desks: 6 people
For 3 desks: 8 people
<em>For 51 desks: </em>
<em>We can see the pattern in the number of people that can be seated on the tables. </em>
Using arithmetic series: 4,6,8,....
a(n) = a1 + (n-1)d
n = 51
d = a2 - a1 = 6 - 4 = 2
a(51) = 4 + (51 - 1) 2
= 4 + (50)2
= 4 + 100
= 104