Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Answer:
pythagorean theorem=a squared + b squared =c squared
where c is the hypotenus(the longest part)
Step-by-step explanation:
16 squared = 8 squared +....
16 ×16=256=8×8=64 + y
256_64=192
sq. root of 192=13.85
y=180_90=90
90÷2=45
y=45
z=45
x=13.85cm
hope you understand
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.
Maybe try (-9, 6) and (-9,5)
i think it may be correct
