Answer:
The exact value using trigonometric identities.
Exact Form:
√
3
+
2
√
2
Decimal Form:
2.41421356
…
Hope this helps :)
We need to calculate the hypotenuse; Juan is located on a right triangle.
34 yards
22÷666= 0.03303303303303303303303303303303
Answer:
102cm²
Step-by-step explanation:
Surface Area = BH +Lp
B is the base area
H is the height of the Prism
L is the slant height
p is t perimeter of its base
B =1/2 ×3×4
B= 6cm²
H = 7cm
L = 5cm
P = 3cm+4cm+5cm
P = 12cm
Substitute
TSA = 6(7)+5(12)
TSA = 42+60
TSA = 102cm²
Hence the total surface area of the shape is 102cm²
Answer:
(-3, 4)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3y = -5x - 3
y = -x + 1
<u>Step 2: Rewrite Systems</u>
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
<u>Step 3: Redefine Systems</u>
3y = -5x - 3
-3y = 3x - 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
