Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
Answer:
17
Step-by-step explanation:
Since angle KLJ~angle VWU are similar :
KL / WV = KJ/ UV
(25 / 20) = (4x - 23 / 2x + 2)
Cross multiply :
25(2x + 2) = 20(4x - 23)
50x + 50 = 80x - 460
50x - 80x = - 460 - 50
-30x = -510
x = 510 / 30
x = 17
Answer:
174 square centimetres
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is
SA = 2LW + 2LH + 2HW
Therefore surface area will be
= 2(11*5) + 2(11*2) +2(2*5)
= 2 * 55 + 2 * 22 + 2 * 10
= (110 + 44 + 20) square cm
Which gives you 174 square centimetres.
Answer:
the answer will be Root 2
Step-by-step explanation:
x^2 = 1^2 + 1^2
We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure
x^2 = 1 + 1
x^2 = 2
taking square root on both the sides
x = root of 2
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
