Answer:true
Step-by-step explanation:
Answer:
m = -3, n = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3m - n = -10
2m + n = -5
<u>Step 2: Solve for </u><em><u>m</u></em>
<em>Elimination</em>
- Combine equations: 5m = -15
- Divide 5 on both sides: m = -3
<u>Step 3: Solve for </u><em><u>n</u></em>
- Define equation: 3m - n = -10
- Substitute in <em>m</em>: 3(-3) - n = -10
- Multiply: -9 - n = -10
- Add 9 to both sides: -n = -1
- Divide -1 on both sides: n = 1
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
Answer:
The depth is 127 inches.
Step-by-step explanation:
The stairway and its depth can be compared to a right angled triangle. Let the depth be represented by d.
But,
12 inches = 1 foot
20 ft 6 in = 20 + 
= 20.5 feet
So that applying the appropriate trigonometric function, we have;
Sin θ = 
Sin 31º = 
d = 20.5 x Sin 31º
= 20.5 x 0.5150
d = 10.5575
d ≅ 11 feet
Therefore,
d = 10.5575 feet = (10.5575 x 12) inches
= 126.69 inches
The depth is 127 inches.
We are given here Area of circle as 226.98 square inches.
Formula to find area of circle is given as :
plugging value of A as 226.98 square inches and pi as 3.14, we have
r=8.5
Now we know that diameter = 2 * radius.
multiplying radius with 2 we have 8.5*2 = 17
Answer : Diameter is 17 inches.
