Answer:
Step-by-step explanation:
1) The solid is a cube. The formula for determining the volume of a cube is expressed as
Volume = s³
s = 5 cm
Therefore,
Volume = 5³ = 125 cm³
2) The solid is a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = lwh
l = 10 inches
w = 5 inches
h = 2 inches
Therefore,
Volume = 10 × 5 × 2 = 100 inches³
3) The solid is a square base pyramid. The formula for determining the volume of a square base pyramid is expressed as
Volume = Area of square base × height
Area of square base = 3² = 9 m²
h = 10 m
Volume = 9 × 10 = 90m³
The sum of all interior angles in a triangle is 180°.
m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°
m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°
Answer:
infinitely many solutions
Step-by-step explanation:
2(x-3)=1/2(4x-12)
2x-6=2x-6
both sides are the same so its infinitely many solutions
<u>Answer:</u>
The system of equations are
x + y = 2600 …….equation (1)
and, 6x + 5y = 13700 ……equation (2)
<u>Explanation:</u>
Let x = amount of sales of phone;
y = amount of sales of computer
For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.
Similarly for computer,
5% of y = 0.05y
Given the total sales; x + y = 2600
And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700
Therefore the system of equations are
x + y = 2600 …….equation (1)
6 x + 5 y = 13700 ……equation (2)
Hey there
9a+3+2a+10
You have to collect like terms
To simplify you have to add 9a and 2a. Then 3 and 10
9a+2a= 11a
10+3= 13
The answer is 11a+13
hope this helps <span />
