Step-by-step explanation:
We can prove the statement is false by proof of contradiction:
We know that cos0° = 1 and cos90° = 0.
Let A = 0° and B = 90°.
Left-Hand Side:
cos(A + B) = cos(0° + 90°) = cos90° = 0.
Right-Hand Side:
cos(A) + cos(B) = cos(0°) + cos(90°)
= 1 + 0 = 1.
Since LHS =/= RHS, by proof of contradiction,
the statement is false.
A= 1/2bh
fill in formula with known numbers
42= 1/2(7)h
multiply numerators on right side
42= (1*7)/2h
42= 7/2h
divide both sides by 7/2
42 ÷ 7/2= h
to divide fractions, multiply by reciprocal/inverse of 7/2
42 * 2/7= h
multiply numerators
(42 * 2)/7= h
84/7= h
12 inches= h
ANSWER: The height is 12 inches.
Hope this helps! :)
Answer:The first table would be a proportional relationship.
Step-by-step explanation:
It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.
A. write the question that represents the food supply then write the equation that represents the park attendance
In this problem you only need to find the x value of one triangle. If you notice, this is a rectangle that has been cut in half by a diagonal into two equal right triangles. So both the top and bottom part are equal to 500 and both have an angle equal to 10 degrees.
Now looking at the problem, you would have to use tangent since 500 is adjacent and your X value is opposite.
Tan(10) = (X/500)
Now solve by multiplying each side by 500
X= Tan(10) 500 put this in a calculator
Answer is 88.2 degrees
