Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.
You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.
tan (30) = y / 440
y = 440 * tan (30) = 254.034...
tan (38.8) = z / 440
y = 440 * tan (38.8) = 353.769.--
353.8 - 254.0 = 99.8 = 100 feet.
Step-by-step explanation:
Answer:
"The quotient of the opposite of a number squared and 3"
Take "the opposite of a number squared" and call it y.
So you get "The quotient of y and 3"
This is y/3.
Now what is y? "The opposite of a number squared"
Take "The opposite of a number" and call it z.
So y is "z squared"
Replacing y, we get z^2 / 3
But what is z? "The opposite of a number"
Call "a number" x.
The opposite of x is -x.
So z is "-x"
Replacing z, we get (-x)^2 / 3
Let's you and me discuss a few things that you already know:
-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.
-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.
-- Good ! So how would you find the y-intercept of a function ?
You say that x=0 and look at what 'y' is.
-- Very nice. What's the function in this question ?
The function is
f(x) [or 'y'] = x⁴ + 4x³ - 12x² -32x + 64 .
-- Excellent. What's the value oif that function (or 'y') when x=0 ?
It's just 64 .
-- Beautiful.
Are there any answer choices that cross the y-axis at 64 ?
How many are there ?
There's only one.
It's the upper one on the right hand side.
Answer:
5C
6C
7D
8B
Step-by-step explanation:
5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.
6) C because there are 6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6
7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25
8 B because mean is all the numbers add up divided by the amount of numbers so
5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6
7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8
8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8
