Answer:
x ≈ 25.5°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tanθ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle θ = <em>x</em>°
Opposite Leg = 10
Hypotenuse = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: tanx° = 10/21
- Inverse trig: x° = tan⁻¹(10/21)
- Evaluate: x = 25.4633°
- Round: x ≈ 25.5°
The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:
If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:
w=7.5x1.48 tons
w=11.1 tons
The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?
1 container-------3.7 tons of gravel
x-------11.1 tons of gravel
x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers
H<span>ow many containers of this size are needed to hold all the gravel from one truck?
</span>
The answer is: 3 containers.
<em>Answer: </em>
<em>A = $7,350.00</em>
<em></em>
<em>Step-by-step explanation:</em>
<em>Equation:</em>
<em>A = P(1 + rt)</em>
<em>First, converting R percent to r a decimal</em>
<em>r = R/100 = 9%/100 = 0.09 per year.</em>
<em>Putting time into years for simplicity,</em>
<em>30 months / 12 months/year = 2.5 years.</em>
<em></em>
<em></em>
<em>Solving our equation:</em>
<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>
<em>A = $7,350.00</em>
<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>
<em>* Therefor, the answer is $7,350.00.</em>
<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>
Answer:
87.5 inches long
Step-by-step explanation:
250 x 0.35 = 87.5
I believe the second one : drawing a number from a hat, not replacing it, and then drawing a second number
