The sum of the angles of a triangle is 180°, then:
(x+40)°+(3x-17)°+(2x-5)°=180°
x+40+3x-17+2x-5=180
6x+18=180
6x=162
x=27°
Answer:
Sin 90°=1
Step-by-step explanation:
A unit circle is a circle with a radius of 1 .Because the radius is 1, it is possible to directly measure the sine, cosine and tangent.
<em>using the unit circle where 90° is the limit as the hypotenuse approaches the vertical y-axis which is positive.</em>
Sine=opposite/hypotenuse
Sin=O/H
<u>Applying the limits</u>
Sine 90°=1/1= 1
cos 90° =0/1 =0
or
When the angle formed at the origin of the unit circle in the 1st quadrant is 0°, cos 0°=1 sin0°=0 and tan 0°=0
When we increase the angle until it is 90°, cos 90°=0, sin 90°=1 and tan 90°=undefined
The boxplot required to answer the questions is attached below :
Answer:
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4
Step-by-step explanation:
Range = maximum - minimum
Maximum and minimum values are given by the values at the end and start of the whisker.
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
IQR = Q3 - Q1
Q3 = Value at the end of the box
Q1 = value of start of box
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4
Answer:
The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8
Step-by-step explanation:
We have to simplify the following
-6.3x+14 and 1.5x-6
it can be written as:
=(-6.3x+14) + (1.5x-6)
Adding the like terms
=(-6.3x+1.5x)+(14-6)
= (-4.8x)+(8)
= -4.8x+8
So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8
Answer:
Step-by-step explanation: