Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
<u>Area 1</u>
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
<u>Area 2</u>
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
<u>Area 3</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
<u>Area 4</u>
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
Answer:
ARE ≅ ΔARC
By rule - SSS Congruence Postulate
Step-by-step explanation:
We are given that in the two triangles ARE and ARC.
Sides AE ≅ AC and RE ≅ RC
Moreover, they have AR as their common side.
<em>So, we get that, in ΔARE and ΔARC, all the three corresponding sides are equal.</em>
Thus, by the SSS Congruence Postulate, ΔARE ≅ ΔARC.
The inequality that represents the range of k so that inequality 1 has real solution is -3 < k < 5
<h3>How to determine the range?</h3>
<u>Inequality 1</u>
x^2 + (k + 1)x + k + 4 > 0
The discriminant is calculated using
D = b^2 - 4ac
So, we have:
D = (k + 1)^2 - 4 * 1 * (k + 4)
Evaluate
D = k^2 + 2k + 1 - 4k - 16
This gives
D = k^2- 2k - 15
Factorize the equation
D = (k+ 3)(k -5)
Solve for k
k = -3 and k = 5
Express the k values as inequalities
-3 < k < 5
<u>Inequality 2</u>
The inequality cannot be read, because of the image quality
Read more about discriminant at:
brainly.com/question/7784687
#SPJ1
Https://us-static.z-dn.net/files/d53/7b15f31206a813bdf6d73a2dd03632e7.jpg
So first you would divide 3,600 by 420. You should get the answer of 8. Then multiply 8 by 12 to get the total number of gallon needed, which is 96 gallons.
