A plane parallel to vectors <9, 6, 2> and <-8, -4, -5> is given by
Since the plane passes through point (5, -5, 8), then
-22(5) + 29(-5) + 12(8) = -110 - 145 + 96 = -159
The required plane is -22x + 29y + 12z = -159
z = 11/6x - 29/12y - 53/4
5 x 11.75 = $58.75 (admission ticket)
5 x 5 = $25.00 (box lunch)
$25.00 + $58.75 = $83.73 (total)
Answer:
2122.64 in^2
Step-by-step explanation:
Use the formula for the area of a circle: A=πr^2
The radius will be half the width of the cloth so 52÷2=26
26^2=676
Multiply by π given as 3.14
676×3.14=2122.64 square inches.
The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.
Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
Answer:
<u>Δ MNO ≅ Δ PQR by ASA postulate</u>
Step-by-step explanation:
Δ MNO and Δ PQR are congruents because:
1. Their included sides MN and PR are equal (22 units = 22 units)
2. Their angles ∠M and ∠P are equal (100° = 100°)
3. Their angles ∠N and ∠Q are equal (35° = 35°)
<u>Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.</u>
