Answer:
3/10 simplified
Step-by-step explanation:
120/400 simplified is 3/10 (divide both numbers by 40).
Answer:
Approximately 25p (please change to pounds by yourself I'm not European, sorry).
Ok so according to my research its 100 pence to one pound. Which will mean that 25p in pounds is £ 00.25
Step-by-step explanation:
<h3>let's say:</h3><h3>10p= <em>x</em></h3><h3>20p=<em> </em><em>y</em><em> </em></h3><h3>50p= <em>z</em><em> </em></h3><h3>'3 fewer 20p (<em>y</em><em>)</em><em> </em>coins than 10p (<em>x</em>) coins'</h3><h3>Therefore:</h3><h3>y-3=<em>x</em><em> </em></h3><h3>and <em>y</em>= <em>x</em>+3</h3><h3>'7 more 50p coins (<em>z</em>) than 10p coins (<em>x</em>)'</h3><h3>That is:</h3><h3><em>z</em>+7= <em>x</em></h3><h3><em>z</em><em>=</em><em> </em><em>x-7</em></h3><h3>'altogether are 61 coins'</h3><h3><em>x</em><em>+</em><em>y</em><em>+</em><em>z</em><em> </em><em>=</em><em> </em>61 </h3><h3>(substitute for y and z)</h3><h3><em>x</em><em> </em>+ <em>x</em><em> </em>+ 3 + <em>x</em><em> </em>- 7 = 61</h3><h3><em>x</em><em>+</em><em>x</em><em>+</em><em>x</em><em>+</em><em>3</em><em>-7</em><em> </em><em>=</em><em> </em>61</h3><h3>3<em>x</em><em> </em>- 4= 61</h3><h3>3<em>x</em>= 61 + 4</h3><h3>3<em>x</em>=65</h3><h3><em>x</em>= 65÷3</h3><h3><em>x</em>= (approximately) 21.6 </h3><h3>(Substitute <em>x</em><em> </em>in <em>y</em><em> </em>and <em>z</em>)</h3><h3><em>y</em><em> </em><em>=</em><em> </em><em>x</em><em>+</em>3</h3><h3><em>y</em><em> </em>= 21.6 + 3 = 24.6 (approximately 25)</h3><h3><em>z</em><em> </em><em>=</em><em> </em><em>x</em><em> </em>-7</h3><h3><em>z</em><em>=</em><em> </em>21.6-7= 14.6 (approximately 15)</h3><h3>y= 20p </h3><h3>y= 25p (approximately)</h3><h3 /><h3><u>Check</u><u> </u></h3><h3>x+y+z= ?</h3><h3>21.6 + 24.6 + 14.6= 60.8 (approximately 61)</h3>
(Sorry I couldn't change to pounds)
And I tried to explain as much as possible, you can ask if you're confused.
Answer:
9.80 m
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between sides of a right triangle and its angles.
__
<h3>setup</h3>
The geometry of this problem can be modeled by a right triangle, so these relations apply. We are given an angle and adjacent side, and asked for the opposite side, so the relation of interest is ...
Tan = Opposite/Adjacent
Using the given values, we have ...
tan(24°) = AC/AB = (tree height)/(distance from tree)
tan(24°) = AC/(22 m)
<h3>solution</h3>
Multiplying by 22 m gives ...
tree height = AC = (22 m)·tan(24°) ≈ 9.79503 m
The height of the tree is about 9.80 meters.
Step-by-step explanation:
a) 6 hundreds+ 7 tens+8 ones
b) 5 thousands+2 tens+1 ones
c) 7 thousand+8 hundreds+ 4 ones
d) 6 thousands+ 3 hundreds
B is the answer to this question
