Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
Alsways do
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do what in parenthesis first <span />
Answer:
$100
Step-by-step explanation:
Let C be the cost for 150 minutes of play time.
We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.
Upon substituting the given value we will get,
Upon cross multiplying our equation we will get,
Upon dividing both sides of equation by 30 we will get,
Therefore, Quinn need $100 to pay for 150 minutes of play time.
Answer:
The product of these two numbers is 1239.
Step-by-step explanation:
Given that
a + b = 80
a - b = 38
Add both equation :
a + b = 80
a - b = 38
2a = 118
a = 59
Put value of a in any 1st equation
a + b = 80
b = 80 - 59
b = 21
<em>Product : </em>
a x b = 59 x 21
= 1239
300 girls.
-6:7 is the same as 300:350.
-If you do 350/50 you get 7. If you do 300/50 you get 6.
