Answer:
a=61°
Step-by-step explanation:
a= 180° - 90° - 29°
a = 61°
9514 1404 393
Answer:
the marked choice is the correct one
Step-by-step explanation:
A suitable calculator or web app can reduce this matrix for you.
The solution is represented by the matrix ...
![\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-1\\0&0&1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%260%260%261%5C%5C0%261%260%26-1%5C%5C0%260%261%263%5Cend%7Barray%7D%5Cright%5D)
If we take 24 h, and think that 150 bolts are produced during 1 hour,
then during 24 hours we will get 150*24 = 3600 bolts.
So, y = 150x represent the number of bolts the machine can produce in x hours.
150 bolts/h, and y =150bolts/h *24 h = 3600 bolts
Answer is B.
Answer: 13&7
Step-by-step explanation:
The sum of two numbers x&y is 20
Product of the 2numbers xy is 51
X+y=20......equation 1
XY=51.........equation 2
X=20-y.......equation 3
Substitute for x inequation 3 into equation 2
So we have;
(20-y)y=51
Open the bracket
20y-y^2=51
Collect like terms,so we have
Y2-20y+51=0
Factorise
Factors of 51 is 13&7
So -13-7=-20 &-13×-7=51
Substitute
Y2-13y-7y+51=0
Y(y-13)-7(y-13)=0
(Y-7)(y-13)=0
Y-7=0
Y=7 or
Y-13=0
Y=13
Y=13 or 7
Substitute for y in equation 1
X+y=20
X+7=20
X=20-7
X=13 or
X+13=20
X=20-13
X=7
Therefore, X &Y = 13 &7
Answer:
A
Step-by-step explanation:
50 x 50 is equivalent to 2500
