Answer: 55
Step-by-step explanation:
90+35=125
180 is the total degrees of an angle so 180-125= 55
4.5 cups to ounces is 36 fluid ounces.
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
Answer:
<h2>C.</h2>
Step-by-step explanation:
<, > - open circle
≤, ≥ - solid circle
<, ≤ - draw to the left
>, ≥ - draw to the right
![3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}](https://tex.z-dn.net/?f=3-x%5Cgeq2%5Cqquad%5Ctext%7Bsubtract%203%20from%20both%20sides%7D%5C%5C%5C%5C-x%5Cgeq-1%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C%5Cboxed%7Bx%5Cleq1%7D%5C%5C%5C%5C4x%2B2%5Cgeq10%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C%5C%5C4x%5Cgeq8%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C%5C%5C%5Cboxed%7Bx%5Cgeq2%7D)
The cost of the metals from the calculations performed is $ 402421.
<h3>What is density?</h3>
Density can be explained as a quantity having mass per unit volume and this can be calculated as:
Mass of the metal = ?
Density of the metal = 7.3 g/cm^3
height of the metal = 610 cm
radius of the metal = 8.7 cm
Volume of a cylinder can be calculated by using the formular below:
And this can be used by inserting the given values which is
![= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3](https://tex.z-dn.net/?f=%3D%203.142%20%2A%20%288.7%29%5E2%20%2A%20610%20cm%20%3D%20145068.97cm%5E3)
Then we can calculate the mass as :
Mass = (density * volume)
![= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg](https://tex.z-dn.net/?f=%3D%20%287.3%20g%2Fcm3%20%2A%20145068cm%5E3%29%5C%5C%5C%5C%3D1059003kg)
=Since the cost is $0.38 per kilogram, then 3657 Kg costs
;( 1059003kg * $0.38)
= $ 402421
Learn more about density at: brainly.com/question/1578538
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