Answer:
Wrong subject man, try it in a different subject
Step-by-step explanation:
Answer:Option C:
64 \ cm^2 is the area of the composite figure
It is given that the composite figure is divided into two congruent trapezoids.
The measurements of both the trapezoids are
b_1=10 \ cm
b_2=6 \ cm and
h=4 \ cm
Area of the trapezoid = \frac{1}{2} (b_1+b_2)h
Substituting the values, we get,
A=\frac{1}{2} (10+6)4
A=\frac{1}{2} (16)4
A=32 \ cm^2
Thus, the area of one trapezoid is $32 \ {cm}^{2}$
The area of the composite figure can be determined by adding the area of the two trapezoids.
Thus, we have,
Area of the composite figure = Area of the trapezoid + Area of the trapezoid.
Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2
Thus, the area of the composite figure is 64 \ cm^2
Step-by-step explanation:
Answer:
Option 3 - five to the two thirds power
Step-by-step explanation:
Given : Expression 'the square root of 5 times the cube root of 5'.
To find : Simplify the expression ?
Solution :
Writing expression in numeric form,
The cube root of 5 means ![\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%7D)
The square root of 5 times the cube root of 5 means ![\sqrt{5\sqrt[3]{5}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D)
Now, simplify the expression
![\sqrt{5\sqrt[3]{5}}=\sqrt{5\times (5)^{\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B5%5Ctimes%20%285%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{1+\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{\frac{4}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=((5)^{\frac{4}{3}})^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%28%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{4}{3}\times \frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
The expression is five to the two thirds power.
Therefore, Option 3 is correct.
Answer:
z = -5
Step-by-step explanation:
3(0.7z + 2.8) = 7(1.5z + 7.2)
2.1z + 8.4 = 10.5z + 50.4
2.1z - 10.5z = 50.4 - 8.4
-8.4z = 42
z = 42/(-8.4)
z = -5
