Answer:
Step-by-step explanation:
1/4x + 1/2x + 1/4x = 360
4(2/4x + 1/2x = 360)
2x + 2x = 1440
4x = 1440
x = 360
1/4(360)= 90 Clermonth
1/2(360)= 180 Central
1/4(360)= 90 other schools
Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6
To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 ) can be written as -
125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.
The amount of butterscotch chips needed by proportional reasoning according to the task content is; 75oz.
<h3>What is the quantity of butterscotch chips needed according to the task content?</h3>
It follows from the task content that the proportion premise given is that; 3 times as many chocolate chips as butterscotch chips is required.
On this note, it follows that when 25oz of chocolate chips is needed, the number of butterscotch chips needed will be; 3 × 25oz
= 75oz of butterscotch chips.
Read more on proportions;
brainly.com/question/1496357
#SPJ1
