Answer: UW= 9√3
Step-by-step explanation:
This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.
The hypotenuse is 18. We can figure out the length of x.
2x=18
x=9
Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.
9√3
We can check our answer by using Pythagorean Theorem.
9²+(9√3)²=18²
81+243=18²
324=324
Since they are equal, we know we have the right answer.
Answer:
Step-by-step explanation:
The volume of a pyramid is
where B = area of the base, and h = height of the pyramid
The base is a square.
The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.
An altitude of this triangle measures
The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.
Volume of the pyramid:
Answer:
Each strip should 11 inches wide.
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.
The answer would be disagree because it you reflected it over the x axis then it would be in the third quadrant
Hope this helps
Have a great day/night
Feel free to ask any questions
Answer:
8.921513269...g/cm
Step-by-step explanation:
the density has this formula: D= m/V
so to solve the V, which refers to volume, you do: 8.4×5.5×4.6= 212.52, and the m, which refers to mass, you already have it. So the last thing to do is:
D= 1896g/212.52= 8.921513269...g/cm
I hope I've been helpful... good luck...!!!
