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:
32/40
Step-by-step explanation:
1: Sin= Soh
Soh= Opposite over Hypotenuse
2. A's opposite is 32
3. A's Hypotenuse is 40
4. A = 32/40
Step-by-step explanation:
what is THE partial product ? there is a mistake in your problem description.
it must read "what are valid partial products".
1262×3 has the following partial products :
1000×3 = 3000
200×3 = 600
60 × 3 = 180
2×3 = 6
-----------
3786
so, D seems to be the best answer, because both numbers are partial products here.
A, B and C have each only one correct.
Hello!

We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)