Answer/Step-by-step explanation:
A. 
Using b = 2
Using b = 4
Using b = 6
Using b = 8
Using b = 10
Using b = 2
B. 
Using x = 3
Using x = 5
Using x = 7
Using x = 9
Using x = 11
Using x = 13
C. 
Using a = 2
Using a = 3
Using a = 4
Using a = 5
Using a = 6
Using a = 7
D. 
Using y = 2
Using y = 3
Using y = 5
Using y = 10
Using y = 8
Using y = 6
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
Answer:
Option C) 4 cubic inches is the volume of the rectangular prism.
Step-by-step explanation:
It is given that, 108 cubes with an edge length of 1/3 inch are needed to fill a rectangular prism.
Therefore, the volume of the rectangular prism is equal to the volume of the 108 cubes needed to fill that rectangular prism.
So, we need to find out the volume of those 108 cubes in order to find the volume of the rectangular prism.
The formula for finding the volume of a cube is given by,
Volume of a cube = a³
where a represents the edge length
We know that, the edge length is 1/3 inch.
⇒ a = 1/3
Volume of a cube = (1/3)³
⇒ 1/3 × 1/3 × 1/3
⇒ 1/27 cubic inches
To find the volume of 108 cubes :
⇒ 108 × volume of one cube
⇒ 108 × 1/27
⇒ 4 cubic inches.
∴ The volume of 108 cubes is the volume of rectangular prism which is 4 cubic inches (option C)
<h3>
Answer: C. 13</h3>
===============================================
Explanation:
In general if we have these two vectors
u = (a,b)
v = (c,d)
Then the dot product of them is
u dot v = a*c + b*d
We multiply the corresponding coordinates, then add up the products.
-----------------------
In this case,
u = (3,2)
v = (1,5)
u dot v = 3*1+2*5
u dot v = 3 + 10
u dot v = 13
Answer:
A Juan le quedan 45 empanadas.
Step-by-step explanation:
Dado que Juan vende 180 empanadas al día, y por la mañana vende las dos terceras partes y por la tarde la cuarta parte de lo que queda, para determinar cuántas empanadas le queda por vender en la noche se debe realizar el siguiente cálculo:
180 x 2 / 3 = 120
180 - 120 = 60
60 x 1/4 = 15
60 - 15 = 45
Por lo tanto, a Juan le quedan 45 empanadas.
