Answer:
87.0°
Step-by-step explanation:
The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.
In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°
The ladder makes an angle of about 87° with the ground.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Volume of a Rectangular Prism: V = lwh
<u>Calculus</u>
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Differentiate</u>
- Rewrite [VRP]:
- Differentiate [Basic Power Rule]:
<u>Step 3: Solve for Rate</u>
- Substitute:
- Multiply:
Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
Answer:
758
Step-by-step explanation:
758 is the answer sheesh
50 percent is the probability
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
