<span>Just draw 24 circles, or sticks, or stars, and then draw 10 little squares in a row twice, and 4 separate square. In the explanation say that there are 24 of whatever shape or thing you decided to draw and, for the regrouped say that 10+10+4=24 </span>
Answer:
I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:
5(-2)(2) = ?
-10 x 2 = ?
? = -20
-20 ≠ 20
Step-by-step explanation:
Justificaiton:
5(x)(2) = 20
10(x) = 20
10/10(x) = 20/10
x = 2
Second Justification:
5(x)(2) = 20
5/5(x)(2) = 20/5
2x = 4
2x/2 = 4/2
x = 2
Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6,
, and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x,
, 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x :
: 2x = 6 :
: 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to
(
in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!
Hi, We know:
Sin(a + b) = 2.Sin(a).Sin(b)
Then,
= 2Sin(a).Cos(b)/Cos(a).Cos(b)
Canceling Cos(b)
= 2Sin(a)/Cos(a)
As Tan(a) = Sin(a)/Cos(a)
Then we will stay:
= 2Tan(a)
Or
= Tan(a) + Tan(a)
There is anything wrong on the alternatives
Answer:
a) a = 12s
Step-by-step explaination: