Answer:
1.) 16.5
2.) 24.2 ft
3.) 10.8 ft
Step-by-step explanation:
1.) So first you need to use Heron's formula
S = (A + B + C)/2
So
S = (17 + 17 + 8)/2
S = 21
Now
Area = 
So
So the Area is equal to 66.1
Now to find the height we use the Area of the triangle formula
A = 1/2 B*H
66.1 = 1/2(8) * H
66.1 = 4H
H = 16.525
So the height of the triangle is 16.5 units tall
2.) For this question you just use the Pythagorean theorem.
a² + b² = c²
So 22² + 8² = c²
484 + 64 = c²
548 = c²
= c
c = 24.1660919472 ft
So the length of the wire is 24.2 ft long
3.) Again this is the Pythagorean theorem.
a² + b² = c²
So 10² + 4² = c²
100 + 16 = c²
116 = c²
= c
c = 10.7703296143 ft
So the length of the banner is 10.8 ft long
Answer:
Step-by-step explanation:
8x + 12 = 3x + 5x + 12
8x + 12 = 8x + 12
Bringing like terms on one side
8x - 8x = 12 - 12
x = 0
Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long
Answer:
frac{21x^6y^5}{14x^2y^9}
Factor the number =\frac{7\cdot \:3x^6y^5}{14x^2y^9}
Factor the number 14=7. 2 =\frac{7\cdot \:3x^6y^5}{7\cdot \:2x^2y^9}
Cancel\:the\:common\:factor:}\:7 =\frac{3x^6y^5}{2x^2y^9}
Step-by-step explanation:
Answer: You are correct. The answer is B) 118 degrees
Nice work.
To get this answer, you simply subtract the given angle from 180
180-62 = 118
This is because angles RSU and UST are supplementary, as they form a straight line.
