Answer:
16.9 cm
Step-by-step explanation:
The volume of a prism = Area of base × height
For a rectangular prism, the base of the area = length × breadth
The volume of the liquid = 92 L
Since 1 L = 1000 cm³, 92 L = 92000 cm³
92000 = 85 × 64 × h
5440 h = 92000
h = 92000 ÷ 5440 = 16.9 cm
The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.
Add this to the area of the rectangle, 9x18=162, and 162+12=174.
The area is 174.
Your answer would be 4, because the equation for the circumference of a circle is π × diameter, so if you have 4 × π as the circumference, then 4 is the diameter.
I hope this helps!
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
y= 3/5x+ 6.2
Step-by-step explanation:
the slope is change in y over change in x.
-4-(-1) divided by 3-8 will be -3/-5 = 3/5
For the y-intercept, plug in x and y values. I will use (3,8).
8= 3/5(3)+b
8= 9/5+b
(subtract 9/5 from both sides)= 6 and 1/5 or 6.2 as a decimal.
