Answer:
Area for Shape p is 12, the name for the shape q is a rhombus.
Step-by-step explanation:
The shape p is a triangle for if you find the height of the shape which is 6 and the length of the base which is 4 multiply them together then divide by 2 to get the area.
Answer:
-6
Step-by-step explanation:
You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
<em>a(t)</em> = 40 ft/s²
<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>
<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>
<em />
<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>
<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>
<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²
<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²
Answer:
1.54 in²
Step-by-step explanation:
Given that,
→ Radius (r) = 0.7 in
Formula we use,
→ πr²
The area of the circle will be,
→ πr²
→ (22/7) × 0.7 × 0.7
→ (22/7) × 0.49
→ [ 1.54 in² ]
Hence, area of circle is 1.54 in².
Answer:

Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as
