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.
Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:
V = Ab x h
In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:
V = 4² x 10 = 160 cm³.
More can be learned about the volume of a cuboid at brainly.com/question/22694657
#SPJ1
Answer:
A
Step-by-step explanation:
When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.
Answer:
X=2
Step-by-step explanation:
We can change the left side of the equation to (x+5)² which gives us
(x+5)²=49 now to get rid of the squared we can take the square root of both sides which gets us to x+5=7 and now subtract 5 from both sides to get your final answer of x=2
I hope this helps and please don't hesitate to ask if there is anything still unclear!
