Answer:
(4,0,-5)
Step-by-step explanation:
Since we move 4 points along +ve x-axis so, x coordinate is 4
We did not move any point along y-axis so y coordinate is 0
we moved 5 points along -ve z-axis so z coordinate is -5
so our position is (x,y,z) = (4,0,-5)
The angle is 60° because
B is a right angle and that adds to 90°, so dividing 90 by 3 would get 30
30 x 2 = 60
and to check the answer
x = 30
A=30
B=90
C=60
this adds to 180 which is correct because the angles in a triangle add to 180° :)
Answer:
The area will be
where r is the length of the leash.
Step-by-step explanation:
The area of a circle is pi times the radius squared. One forth of that area is not available for the dog to run: its the corner of the house. so what's left is 3/4 of the area of the circle. (3/4)πr²
Since the length of the leash is not given in the question, no specific Area can be answered. Once that value is substituted for r, the actual area can be calculated.
Answer:
An equation for the inverse variation y = 2 when x = 5 is:
y=10/x
Step-by-step explanation:
Suppose that y varies inversely with x:
y=k/x
Write an equation for the inverse variation y = 2 when x = 5
Substituting y by 2 and x by 5 in the formula above:
2=k/5
Solving for k: Multiplying both sides of the equation by 5:
5(2)=5(k/5)
10=k
k=10
Then the equation is:
y=k/x
y=10/x
<span>Pete's age is 15/3 = 5 years old
Bryan's age is 15 years old
Philip's age is 15+5 = 20 years old
20+15+5= 40</span>