Answer:
Dark matter is just matter whose particles do not absorb reflect or emit light and can't be seen directly. We know of its existence because of its effects on objects that we c a n see. It's density formula is 2.241×10⁻²⁷ kg/m³
Step-by-step explanation:
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
Using the Charles law, the following are the solutions to the problems;
1) 16 dm3
2) 170 K
3) 2.4 L
<h3>What is Charles law?</h3>
Charles law states that, the volume of a given mass of gas is directly proportional to the temperature at constant pressure.
For problem 1;
T1 = 20 + 273 = 293 K
V1 = 15 dm3
T2 = 318 K
V2 = ?
V1/T1 = V2/T2
V1T2 =V2T1
V2 = V1T2/T1
V2 = 15 dm3 * 318 K/293 K
V2 = 16 dm3
Problem 2
V1 = 250cm3
T1 = 10 + 273 = 283 K
V2 = 150cm3
T2= ?
T2 = V2T1/ V1
T2 = 150cm3 * 283 K/250cm3
T2 = 170 K
Problem 3
V1 = 2.3 L
T1 = 25 + 273 = 298K
V2 = ?
T2 = 40 + 273 = 313 K
V2 = V1T2/T1
V2 = 2.3 L * 313 K/298K
V2 = 2.4 L
Learn more about Charles law:brainly.com/question/16927784
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B(x) = x + 41
B(-10) = -10 + 41
B(-10) = 31 [Answer]
20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25
