Answer:
- Karla is wrong, correct answer is 2 cups
Step-by-step explanation:
<u>8 oz = 1 cup</u>
<u>Find the answer using the ratio</u>
- 16 oz = 16*1/8 cup = 2 cups
Answer:
The correct answer is option C.
Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = 1
Step-by-step explanation:
The sin cos tan table used to calculate values of the ratios for different angles can be used for the values.
The table is easily available on the internet.
WE can use a a right-angles isosceles triangle to find the exact values for the angle 45.
The equal sides have length 1. So the thirs side using the pythagoras theorem will be √2.
So
Sin 45 = √2/2
Cos 45 = √2/2
and
Tan 45 = 1
So the correct option is C.
Answer:
Step-by-step explanation:
a) = 15
b) = 36
c) ???????
Answer: x=-1, y=8 and z=-5.
Step-by-step explanation:
The given system of equations:
3x - 5y + 2z = -53 (i)
x - 7y - 4z = -37 (ii)
5x + 9y + 2z = 57 (iii)
Multiply 3 to equation (ii)
3x-21y-12z= -111 (iv)
Eliminate (iv) from (i) , we get
-5y+21y+2z+12z=-53+111
⇒ 16y+14z=58
⇒ 8y+7z=29 (v) [divide equation by 2]
Multiply 5 to equation (ii)
5x-35y-20z= -185 (vi)
Eliminate (vi) from (iii) , we get
9y+35y+2z+20z=57+185
⇒ 44y+22z=242
⇒ 2y+z=11 [divide equation by 22]
⇒ z= 11-2y (vii)
Put value of z in (v) , we get
8y+7(11-2y)=29
⇒ 8y+77-14y=29
⇒ 6y=48
⇒ y=8
Put value of y in (vii), we get z= 11-2(8) =11-16=-5
i.e. z=-5
Put y=8 and z=-5 in (ii) , we get
x - 7(8) - 4(-5) = -37
⇒x-56+20=-37
⇒ x-36=-37
⇒ x = -37+36
⇒ x = -1
Hence, x=-1, y=8 and z=-5.
