Answer:
the price sold per kg to earn a profit of 20% is 7.2 kg
Step-by-step explanation:
The computation of the price sold per kg to earn a profit of 20% is shown below:
But before that the normal price per kg is
= 5.4 per kg × 100 ÷ 90
= 6 per kg
Now for 20% profit, the price per kg is
= 6 × (1 + 0.20)
= 6 + 1.2
= 7.2 kg
hence, the price sold per kg to earn a profit of 20% is 7.2 kg
Answer:
In order to solve a right triangle, you must first figure out which angle is the right angle. Knowing the right angle will also tell you which side is the hypotenuse, since the hypotenuse will always stand opposite the right angle. In this text, for the sake of consistency, in all triangles we will designate angle C as the right angle, and side c and the hypotenuse. To finish solving a right triangle, you then must either know the lengths of two sides, or the length of one side and the measure of one acute angle. Given either of these two situations, a triangle can be solved. Any further information about a triangle may be helpful, but it is not necessary.There are four basic techniques to use in solving triangles.Using the Pythagorean Theorem, once two sides are known, the third side can be calculated.Using the fact that the acute angles of a right triangle are complementary, once one acute angle is known, the other can be calculated.Using the definitions of the trigonometric functions, any two parts of a triangle can be related in an equation to equal a third part.Using the definitions of the inverse trigonometric functions, any two sides of a triangle can be related in an equation to equal the inverse function of an unknown acute angle
Step-by-step explanation:
Answer:
153
Step-by-step explanation:
i = square root of -1
i = √-1
(3+12√-1) (3-12√-1)
√a times √b = √ab
a√b times c√d = (a times c) √ (b times d)
9 - (36√-1) + (36√-1) - (144(√-1)^2) =
9 - 0 - (144 * -1) =
9 - 0 - (-144) =
9 - (-144) =
9 + 144 =
153
*** funny thing is if you put
(3+12i) (3-12i)
in a calculator
it works!
it gives you the answer 153
another way:
Expand the expression using
(a-b) (a+b) =
a²-b² :
3²-(12i)²
Simplify using exponent rule with same exponent
(a*b)^n =
a^n*b^n:
3²-12²* i²
Calculate the power:
9-144* i²
Rewrite by definition
i²=-1:
9–144×(−1)
Calculate the product or quotient: 9+144
Calculate the sum or difference: 153
Answer: 153
gathmath
I believe the answer is : Y=2(x+5)^2-51
Hello,
For the first question, congruent triangles have congruent corresponding angles and sides. For option choice A, MN corresponds with PQ, not PR, so it is incorrect to conclude that they are equal. The answer is A.
For the second question, we are given two angles and an not included side, so it would be AAS.
The answer is A, I believe.
Hope this helps!