Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Well, since we know $3.65 is how much ONE PACK of pencil costs, and k represents the packs of pencils PURCHASED, and x represents the COST per pack, your answer would be A. x = 3.65k. This is because to find out the total cost (x) of k amount of packs, you would multiply the cost (3.65) times k, (known as 3.65k), which would be expressed as x = 3.65k. =)
Hope I helped! ^-^
Answer:
0.75
Step-by-step explanation:
3/4=0.75
Hope this helps! :)
Answer: 72° or any muliple of it: 72°, 144°, 216°, 288°, 360°, ...
It can be either clockwise or counterclockwise.
Explanation:
Thi is because a regular pentagon has 5 congruent sides.
Then you determine the angle of rotation by dividing 360° (a complete turn) by the number of sides (5)
360° / 5 = 72°.
Then every 72° the segments of the image will overlap those of the preimage.
Cant see the rest of the question ;-;
