Answer:
c
Step-by-step explanation:
If the dot product of the vectors is zero then they are perpendicular
(5, - 1) • (- 3, 6)
= (5 × - 3) + (- 1 × 6) = - 15 + (- 6) = - 15 - 6 = - 21 ≠ 0
Since product is not zero vectors are not perpendicular
Step One
Find the area of the rectangle
Area = L * W
Area = 89 cm * 70 cm
Area = 6230 cm^2
Step Two
What is the formula for the two end semicircles?
Two semicircles = 1 whole circle
Area of any circle = pi * r^2
Step Three
Find the area of the circle
r = the width / 2 This may not be true. You need the diagram. If the circles are drawn on the length then use r = the length / 2
r = 70/2 = 35 cm
Area of circle = pi * r^2
Area of circle = 3.14 * 35^2
Area of circle = 3846.5
Step Four
Find the total area
The total area = Area of the rectangle + area of circle
The total area = 6230 + 3846.5
The total area = 10076.5 cm^2 <<<< Answer
<span>"ratio of princesses to celebrities is 3:1"
The are 3 more times princesses as celebrities.
</span>"<span>The ratio of superheros to princesses is 5:4"
For each 4 princesses, there are 5 superheroes.
For 1 celebrity, there are 3 pincesses.
For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.
The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x
Add them: 4x + 12x + 15x = 31x
31x = 93
x = 93/31 = 3
Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45
</span>
Answer:
630/x+5 (remainder over divisor)
2. 24-7p=10
-7p=-14
p=2
3. x+(x+1)+(x+2)=72
3x+3=72
3x=69
x=23
4. x+(x+2)+(x+4)=48
3x+6=48
3x=42
x=14
7. 40-2x=8
-2x=-32
x=16
8. 1/2x+4=12
1/2x=8
x=16