Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = 
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are 
and 
= 
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= 
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
It is the first one because fist you reflect it to the right across the y axis, then you reflect it down across the x axis, and last but not least, you reflect it left across the y axis where it is now
hope this is helpful! :)
Answer:
21 grapes.
Step-by-step explanation:
We have been given that Tyrell ate twice as many grape as Katy. Lucy ate half as many grapes as Katy. Katy ate 6 grapes. We are asked to find the total number of grapes that all of them eat in all.
First of all, we will find twice of 6 grapes to find number of grapes eaten by Tyrell.
Now, we will find half of 6 to find number of grapes eaten by Lucy.
Therefore, the three of them eat 21 grapes in all.
Answer:
area= 1/2*(h*b) h- height, b- base
the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)
so they are equal in length
angles in triangle = 180
so 38+38=76
180-76=104
base=24
divide the triangle in the center
so now triangle 1(left) the base = 12
and triangle 2(right) the base = 12
use trigonometric ratios
in this we need to find the height
which is opposite of 38,
we already have the adjacent =12
so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)
Tan38= (12/h)
multiply by h
h*Tan38=12
h=12/tan38 = 15.35929959
