Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm
Answer:
Step-by-step explanation:
Answer:
z < 5.28
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
Step-by-step explanation:
<u>Step 1: Define</u>
14.3 > 5(z - 2) - 2.1
<u>Step 2: Solve for </u><em><u>z</u></em>
- Distribute 5: 14.3 > 5z - 10 - 2.1
- Subtract: 14.3 > 5z - 12.1
- Add 12.1 on both sides: 26.4 > 5z
- Divide 5 on both sides: 5.28 > z
- Rewrite: z < 5.28
Here we see that any value <em>z </em>smaller than 5.28 would work as a solution to the inequality.
Answer:
The fraction can not be reduced, but it can be converted to decimal form.
Exact Form:
3/5
Decimal Form: 0.6
Step-by-step explanation:
