Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
Answer:
y= 1x - 1
Step-by-step explanation:
Slope-intercept form: y=mx + b
(-4,-5) (5,4)
m= (y2 - y1)/(x2 - x1) = (4+5)/(5+4)=1
4=1(5)+b
4=5 + b 4-5=b b= -1
y= 1x - 1
Answer:
It'll take 128 cubes to fill the prism.
Step-by-step explanation:
In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:
volume = length³
So the cubes have the following volume:
volume = (1/4)³ = 1/64
Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:
number of cubes = (volume of prism)/(volume of cubes)
number of cubes = 2/(1/64)
number of cubes = 2*(64/1)
number of cubes = 128
It'll take 128 cubes to fill the prism.
Answer:
A. The initial value is 100; it represents money left over from last year's fundraiser
Step-by-step explanation:
Answer:
500 boxes
Step-by-step explanation:
<em>hey there,</em>
<em />
< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).
Here is how your equation would look like:
Pretend like "n" is "x" since that is the variable we are trying to find here.
Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
"n" actually ends up equaling 500, -200.
Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer <em>either </em>because it is a negative!! >
<u>Hope this helped! Feel free to ask anything else.</u>
