Hello there,
To write an improper fraction you will have to divide whole number by denominator than add the numerator...
7 * 1 = 7
7 + 4 = 11
The denominator stays the same...
11/7
Answer: 11/7
Hope I helped!!
-Char
21in.
1/2*base*height=area of a triangle
Side^4=square area
Square+Triangle(4)=total
Square=9 Triangle=3
Answer:
x=17, x=-7
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|x-5|-2 = 10
Another term is moved / added to the right hand side.
|x-5| = 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-5|
For the Negative case we'll use -(x-5)
For the Positive case we'll use (x-5)
Step 3 :
Solve the Negative Case
-(x-5) = 12
Multiply
-x+5 = 12
Rearrange and Add up
-x = 7
Multiply both sides by (-1)
x = -7
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-5) = 12
Rearrange and Add up
x = 17
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-7
x=17
Answer:
Step-by-step explanation:
To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.
Area of the square.
To calculate the area of the square you have to calculate the square of one of its sides, following the formula:
Where "a" is the length of one of its side.
The side length of the square is a=7cm, so its area will be:
Area of the triangles.
The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.
To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:
The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:
Now that the area of all shape are calculated, you have to add them to determine the area of the logo:
Answer:
108 in
Step-by-step explanation:
The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1 we can apply it to rectangle 2.
rectangle 1 :
72/x=12
x=6
therefore
72/6=12
rectangle 2:
A/x=18
A/6=18
6*18=108
A=108 in
Hope this helps
~Lalagrl
Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.
height: 15 centimeters
radius: 9 centimeters
Question 11 options:
787.3 cm2
1356.5 cm2
847.8 cm2
889.9 cm2
So we know the formula for the lateral area of a cylinder is:
AL=2πrh
now all we have to do is put the given value in place of the correct variable then solve like so:
AL=2*3.14*9*15
AL= 847.8 cm2
so the answer is the third option
hope this helps
~Lalagrl
