1. false
2. true
3. true
4. false
Answer:
Step-by-step explanation:
The standard equation of a straight line is of the form:
We have to convert the given equation into above form.
Simplifying the given equation:
.- This is in standard form
where 
<h3>
Answer: x < 9</h3>
Work Shown:
4x - 6 < 30
4x - 6 + 6 < 30 + 6
4x < 36
4x/4 < 36/4
x < 9
Explanation:
The idea is to undo everything happening to x. We follow PEMDAS in reverse. We undo subtraction first by adding 6 to both sides (step 2), then we undo multiplication by dividing both sides by 4 (step 4).
Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)
Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;
Volume = L³
The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;
VB = 8³
VB = 512 cm³
The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;
VM = L³
VM = 6³
VM = 216 cm³
The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;
VT = L³
VT = 4³
VT = 64
From the calculations shown, the total volume of the cubes in the tower is given as;
Total volume = VB + VM + VT
Total volume = 512 + 216 + 64
Total volume = 792 cm³
Total volume is 792 cubic centimetres.
Answer: 6.6
Step-by-step explanation:
We have two triangles. Find the hypothenuse of the first triangle to make it easier to solve the second triangle.
First triangle:
a = 6
b = 8
c = ?
Use pythagorean's theorem
This hypothenuse is valid for both triangles. Having said this, we already have 2 sides of the second triangle; c and a. We need to find b.
