The question is asking for the sector arc length WZ,which can be find through the sector formula:
Since both cz and wz are the radius, they have the same length
cz=wz=5 in.
In this case,
2丌(5)× 122°/360°
=10丌×61/180
=61/36 ×丌
≈5.32in.
Thus 5.32in. is the answer.
Hope it helps!
Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
Answer:
11
Step-by-step explanation:
Substitute 3 for b
23 - 4(3)
Multiply 4(3) = 12
23 - 12
Subtract
23 - 12 = 11
Answer:
(3, -3)
Step-by-step explanation:
When asked to solve by elimination, you put them on top of one another, like you're going to add it.
10x + 7y = 9
-4x - 7y = 9
See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.
6x = 18
x = 3
Take x, and plug it into either equation to find y.
10(3) + 7y = 9
7y = -21
y = -3
(3, -3)
Hope this helped!
