Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = 
=
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
I saw the image that should have been posted with this word problem.
The rolls of wrapping paper is cylindrical in shape.
Roll A : length = 30 inches ; diameter = 3 inches
Roll B : length = 24 inches ; diameter = unknown
Lateral surface area = 2 π r h
Lateral Surface area of Roll A = Lateral Surface area of Roll B
2 * 3.14 * 1.5in * 30in = 2 * 3.14 * r * 24 in
282.60 in² = 150.72 in * r
282.60 in² / 150.72 in = r
1.875 in = r
diameter is 2 times the radius = 1.875 in * 2 = 3.75 inches
The diameter of Roll B is 3.75 inches.
The answer is D) (-1,-12)
Reason:
1) substitute 2x-10 for y in y=4x-8
2) 2x-10=4x-8
3) -2x-10=-8
4) -2x=2
5) x=-1
6) substitute -1 for x in y=2x-10
7) y=(2)(-1)-10
8) y=-12
Answer
x=-1 and y=-12
The missing steps are each right angles and
.
Solution:
Step 1: Given data:



Step 2: In the two polygons,
and 
(Each right angle)
Step 3: Given

Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence
.
Therefore the missing steps are each right angles and
.
Answer:

Step-by-step explanation:
To write the equation of a line we need 2 points. We know:
- If the y-intercept of the line is -3 then the point is (0,-3).
- If the x-intercept of the line is -4.5 then the point is (-4.5,0).
Using these two point, we will find the slope and then substitute it into the point slope form
with a point.
Slope: 
This decimal is -2/3. We will now substitute -2/3 and (0,-3) into the point slope form.
