Answer:
The Radius is 6.5 cm.
Step-by-step explanation:
We know that the diameter of a circle is a line that begins on one point of a circle and ends on the opposite side. We also know that the radius is a point on the circle that starts from that point and ends at the center. Therefore, the radius would be half the diameter.
Hope this helped :D!
A fraction in which the factor of the numerator and the denominator is 1 is known as a <span>reduced, or simplified, fraction.
</span>
<span>68 is not reduced (or not simplified) because 68 =2⋅32⋅2⋅2
</span>
<span>34 is a reduced, or simplified, fraction: 1⋅31⋅2⋅2</span>
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
Answer: 80 feet.
Step-by-step explanation:
1. As you can see in the figure, triangle ABC and the triangle DFG are similar.
2. The scale of factor of triangle ABC to triangle DFG is the following:
3. Therefore, the lenght of the side DG of the trinagle DFG is:
4. The perimeter of the triangle DFG is:
5. Therefore, she would need 80 feet of fence.
<u>Answer:</u>
-10,1,19
<u>Step-by-step explanation:</u>
<u></u>
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
