<h3><u>The first number, x, is equal to 33.</u></h3><h3><u>The second number, y, is equal to 23.</u></h3><h3><u>The third number, z, is equal to 46.</u></h3>
x + y + z = 102
z = 2y
x = 10 + y
Because we have values of x and z, we can plug them into the original equation to solve for y.
10 + y + y + 2y = 102
Combine like terms.
4y + 10 = 102
Subtract 10 from both sides.
4y = 92
Divide both sides by 4.
y = 23
Now that we have a value for y, we can find the value of x and z.
z = 2(23)
z = 46
x = 10 + 23
x = 33
Answer:
-14
Step-by-step explanation:
3r2-5s+6t
3.2.2-5(-4)+6.(-1)
12-20-6
12-26
-14
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
The sides of the rectangle can then be divided into parts to reveal partial products that make up the total product. This helps students develop the flexibility and conceptual understanding required to build fluency with basic facts and strategies for multiplication of larger numbers.
Step-by-step explanation:
I am not sure but wouldn't it be y=3x-6 and y=4x-7