Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
Answer:
240cm²
explanation
Diagonal ²=Length ²+breath ²
26²=10²+length ²
676=100+length ²
576=length ²
length=24cm
Area of a rectangle=length×breath
Area=24×10
=240cm²
Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).
Step-by-step explanation:
Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:
9^(-53) * 9^(37)
Add exponents keep base
9^(-16)
Hope this helps
The coordinates of the image point are given to be B(4, -8). We are to find the coordinates of pre-image that is the coordinates before the translation.
The translation made was (x-2, y+3)
This means, the x coordinate was moved 2 units to left and y coordinate was moved 3 units above.
So, the coordinates of original point will be, 2 units to right of B and 3 units down of B.
So the coordinates will be (6, -11)
<span>Let A be the center of a circle and two angles at the adjacent center AOB and BOC. Knowing the measure of the angle AOB = 120 and the measure BOC = 150, find the measures of the angles of the ABC triangle.
</span>solution
Given the above information;
AC=AB, therefore ABC is an isosceles triangle.
therefore, BAO=ABO=(180-120)/2=30
OAC=OCA=(180-90)/2=45
OBC=BCO=(180-150)/2=15
THUS;
BAC=BAO+OAC=45+30=75
ABC=OBA+CBO=15+30=45
ACB=ACO+BCO=15+45=60
