Answer:
5
Step-by-step explanation:
8*5=40 and then 20 short answer that are 3 each. that makes up the rest of the 60 points
Answer: 119
Step-by-step explanation:
Let the acre of wheat to be cultivated be x.
Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x
The information given can be used to form a equation as:
42(3x) + 30x = 18564
126x + 30x = 18564
156x = 18564
x = 18564/156
x = 119 acres of wheat
Answer:
12.56 square units
Step-by-step explanation:
The formula for circumference is
C = 2πr
Our circumference is 12.56. Using 3.14 for π, we have
12.56 = 2(3.14)r
12.56 = 6.28r
Divide both sides by 6.28:
12.56/6.28 = 6.28r/6.28
2 = r
The area of a circle is given by the formula
A = πr²
Using 3.14 for π and our radius of 2, we have
A = 3.14(2²) = 3.14(4) = 12.56.
Explanation
Since the scaling factor of the dilation (0.5) is fewer than 1, it shrinks (make smaller) the triangle around the origin (zero). Intuitively, the dilation is getting the points of the triangle closer to zero (in a way that preserves the shape of the triangle).
Formally, to know the coordinates of a point of the triangle after the dilation, we just need to multiply the original coordinates of the point by the scaling factor (this works for the dilation is around zero).
The original coordinates of D are
Multiplying them by the scale factor, we get
Answer
The coordinates of D after the given dilation is
Answer: The measure of Angle 2 = 148°
Step-by-step explanation:
Given: The measure of Angle 2 is twelve less than five times the measure of Angle 1.
Let the measure of Angle 1 = x
Then, measure of Angle 2 = 5x-12
Since both the angles form linear pair, so their sum = 180° [linear pair of angles must add up to 180°.]
Then, x+ (5x-12) = 180
⇒ x+ 5x-12= 180
⇒ 6x-12= 180
⇒ 6x= 180+12
⇒ 6x= 192
⇒ x= 32 [divide both sides by 6 ]
So, measure of Angle 2 = 5(32)-12 = 160-12 = 148°
Hence, the measure of Angle 2 = 148°
