Step-by-step explanation:Step 1: Simplify both sides of the equation.
4−(2y−1)=2(5y+9)+y
4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)
4+−1(2y)+(−1)(−1)=2(5y+9)+y
4+−2y+1=2(5y+9)+y
4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)
4+−2y+1=10y+18+y
(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)
−2y+5=11y+18
−2y+5=11y+18
Step 2: Subtract 11y from both sides.
−2y+5−11y=11y+18−11y
−13y+5=18
Step 3: Subtract 5 from both sides.
−13y+5−5=18−5
−13y=13
Step 4: Divide both sides by -13.
−13y
−13
=
13
−13
y=−1
Answer: y =-1
Answer:
Option B (35°).
Step-by-step explanation:
To solve this question, the trigonometric identity sin x = cos (90-x) is required. It can also be written as cos x = sin (90-x). It can be seen that this identity holds when the two angles are complementary i.e. they sum up to 90 degrees. Therefore, the answer can be determined by substituting all the options one by one in the identity cos x = sin (20+x). If x=30 degrees, then x+20=50 degrees. 30 and 50 are not complementary. If x=35 degrees, then x+20=55 degrees. 35 and 55 are complementary since their sum is 90 degrees. Therefore, B is the correct choice!!!
After 12 years
3500 * 2 = 7000
after 24 years
7000 * 2 = 14000
14000 : 3500 = 4
so the answer is 24 years
The answer should be 24 square units.
5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base.
In order to do that, we need to use the Pythagorean Theorem.
a^2+b^2=c^2
3^2+b^2=5^2
9+b^2=25
Subtract 9 from both sides
b^2=16
Then square root both sides.
b=4.
Now that we have the base, you can then find the area of the triangle.
BH/2
4*3/2
12/2
6
So one triangle equals to 6. Then multiply that by 4 to find the area of the rhombus. Which would be 24 square units.
The two events are related and often or always follow each other
