Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square: , where s = side
- , where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
- . Area of square is 16
- . Area of trapezoid is 12.
- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.
Answer:
15) <u><em>y= 1/2 + 3.75</em></u>
16) <u><em>y = x</em></u>
Step-by-step explanation:
For #15)
<em>Equation used: y=mx+b ; Slope: y₂ - y₁ / x₂ - x₁</em>
1) First, you need to pick any 2 points on the graph. I'll use (6,3) and (8,4).
2.1) Then you'll use the <em>slope </em>equation to find the slope (m) of your equation.
(y) ~ 4 - 3 = 1
(x) ~ 8 - 6 = 2
Slope= 1/2
3) So from the look of the answers, the y here is 3.75 so you can trust that.
4) The final equation is <u><em>y= 1/2 + 3.75</em></u>
<u><em /></u>
For #16)
Use the same steps as #15. You can still choose whatever points/plots you want. Ima use (5,4) and (6,5).
(y) ~ 4 - 3 = 1
(x) ~ 6 - 5 = 1
slope= 1 or x
Answer: y=x
<em>Your welcome for the answer! <3</em>
Given the sides 11,13,19, to calculate for the smallest angle using cosine rule, i.e;
a^2=b^2+c^2-2bc cos (A)
we shall proceed as follows;
The smallest angle is always opposite to the shortest side; Since 11 is our shortest side, the smallest angle is the angle opposite to this side. Thus;
let a=11 and our smallest angle be A
thus
11^2=13^2+19^2-2*13*19 Cos A
121=169+361-494 Cos A
121=530-494 Cos A
-409=-494 Cos A
dividing through by -494 we get;
Cos A=0.8279
thus
A=Cos(-1) 0.8279
A=34.113°≈34°
The answer is A=34°
Surface Area= Length × hypotenuse+ length × width+2(1/2 base × height)+Lenght×base
Surface Area= 19×25+19×7+24×7+19×24
SA=1232 m²
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function