Answer:
28 units
Step-by-step explanation:
First, we are going to solve the equation to find the value ^^
Let's solve the equation step by step
Step 1. Use the distributive property to destroy the parenthesis
Step 2. Subtract 196 to both sides of the equation
Step 3. Factor the expression
Step 4. Set each factor equal to zero and solve
Since we are dealing with lengths here, and lengths cannot be negative, the only valid solution is 28.
Now, we know from our problem that the missing side of the rectangle is given by the expression , so to find the actual length, we just need to replace with 8 in the given expression and simplify!
We can conclude that the missing side length represented by x + 8 units of the rectangle is 28 units.
Assuming that this figure is a rectangular prism the answer would be 45.58 units cubed
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
Answer:
m<3 = 90
C
Step-by-step explanation:
This is a kite. The diagonals intersect each other in such a way that m<1 and m<3 are at right angles. m<3 = 90o