Answer:
![264\ cm^{2}](https://tex.z-dn.net/?f=264%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces
![LA=4(\frac{1}{2}(6)(7))=84\ cm^{2}](https://tex.z-dn.net/?f=LA%3D4%28%5Cfrac%7B1%7D%7B2%7D%286%29%287%29%29%3D84%5C%20cm%5E%7B2%7D)
step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height
![LA=(4)(6)(6)=144\ cm^{2}](https://tex.z-dn.net/?f=LA%3D%284%29%286%29%286%29%3D144%5C%20cm%5E%7B2%7D)
step 3
Find the area of the base of the rectangular prism
![B=(6)(6)=36\ cm^{2}](https://tex.z-dn.net/?f=B%3D%286%29%286%29%3D36%5C%20cm%5E%7B2%7D)
step 4
Find the surface area
![84\ cm^{2}+144\ cm^{2}+36\ cm^{2}=264\ cm^{2}](https://tex.z-dn.net/?f=84%5C%20cm%5E%7B2%7D%2B144%5C%20cm%5E%7B2%7D%2B36%5C%20cm%5E%7B2%7D%3D264%5C%20cm%5E%7B2%7D)
Her avarage speed in miles per hour is 54
How i solved this was by 135/2.5 and i got 54
I hope this helps!
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
Answer:
D. ![xy\sqrt[3]{9y}](https://tex.z-dn.net/?f=xy%5Csqrt%5B3%5D%7B9y%7D)
Step-by-step explanation:
![\sqrt[3]{9x^3y^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9x%5E3y%5E4%7D)
![\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7D%5Csqrt%5B3%5D%7Bx%5E3%7D%5Csqrt%5B3%5D%7By%5E4%7D)
The
cancels out to become x:
![\sqrt[3]{9}x\sqrt[3]{y^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7Dx%5Csqrt%5B3%5D%7By%5E4%7D)
Split the ![y^4=y*y^3](https://tex.z-dn.net/?f=y%5E4%3Dy%2Ay%5E3)
![\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B9%7Dx%5Csqrt%5B3%5D%7By%5E3%7D%5Csqrt%5B3%5D%7By%5E1%7D)
![\sqrt[3]{y^3} =y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%5E3%7D%20%3Dy)
![xy\sqrt[3]{9} \sqrt[3]{y}](https://tex.z-dn.net/?f=xy%5Csqrt%5B3%5D%7B9%7D%20%5Csqrt%5B3%5D%7By%7D)
Put the cube root of y and cube root of 9 together:
![xy\sqrt[3]{9y}](https://tex.z-dn.net/?f=xy%5Csqrt%5B3%5D%7B9y%7D)
Answer:
93 degrees
Step-by-step explanation:
first, lets add 38+49 to see the sum
38+49=87
since the sum of all three angles in every triangle equals 180, we can subtract this sum from 180 to get the answer
180-87=93
so the missing angle would be 93