Answer: Joe's weekly allowance = $12
Step-by-step explanation:
Joe spent half of his weekly allowance playing mini-golf
Let a = his weekly allowance
This means Joe spent a/2 playing mini-golf.
To earn money, his parents let him weed the garden for $6
This means Joe's total money
= a + 6
What is his weekly allowance if he ended with $12?
This means he had $12 left after spending a/2 from ta total of (a +6)
Therefore,
(a +6) -a/2 = 12
Taking LCM of 2
[2(a+6)-a]/2=12
Cross multiplying by 2
2a + 12-a = 24
a+12 =24
a = 24-12 =$12
Joe's weekly allowance = $12
Answer:
The parametrization, of the given curve is 
Step-by-step explanation:
From the question we are given the function
At y= 5
Converting the above to it polar equation we have
X^2 + X - 12 = 0
(X + 4)(X - 3) = 0
X = -4 and X = 3.
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
