Answer:
8.090169944 or rounded 8.1
Step-by-step explanation:
Use SOH CAH TOA
Look at x and where it is and what you have.
First thing is to get an angle to use, 36, then to set up your equation.
___(36)=___
Figure out what you have.
You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.
You set up your equation using COS, as you are using CAH.
Cos(36)=x/10
X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse
Switch it around to make it equal to x
10*Cos(36)=x
You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.
Round however is needed.
Answer:
4<x<12
Step-by-step explanation:
8.0+4.0=12.0
8.0-4.0=4.0 or 4
If M is the midpoint of PQ, then PM and MQ are equal.
As PM and MQ are given, equal them to each other to solve for x.
7x+8 = 5x+20
subtract 5x on both sides to get 2x+8 = 20
subtract 8 on both sides to get 2x = 12
divide by 2 on both sides to get x = 6
Use the value of x = 6 and plug it into the equations for PM and MQ to find their value.
PM = 7x + 8
= 7(6) + 8 = 42 + 8 = 50
(You can already tell MQ is also 50 as PM and MQ are equal, but we will still solve for MQ just for the fun of it)
MQ = 5x + 20
= 5(6) + 20 = 30 + 20 = 50
PM = 50
MQ = 50
PQ = PM + MQ = 50 + 50 = 100
Hope this helped!
Answer: A - 30 cubes
B - Volume of prism = feet³
Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,
Length = = feet
Width = 1 foot
Height = = feet
Thus, the volume of the prism = Length × Width × Height
i.e. Volume of the prism = × 1 × = feet³
Now, the side of the cube = foot each.
Volume of the cube = = feet³