Answer:
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Answer:
Dimensions of the garden are 24 feet by 8.33 feet.
Step-by-step explanation:
Let the dimensions of the vegetable garden is length = l and width = w foot
Area of the vegetable garden = 200 square feet
Since length of the garden is 1 foot less than the 3 times the width.
l = 3w - 1
Area of the garden = w × l = 200
w(3w - 1) = 200
3w² - w = 200
3w² - w - 200 = 0
By quadratic formula
w =
=
=
w = -8 or 8.33 foot
Since dimensions can not be negative therefore, width of the garden will be 8.33 foot
Since l = 3w - 1
= 3×8.33 - 1
= 25 - 1
= 24
Dimensions of the garden are 24 feet by 8.33 feet
B.) 135°
C.) 15°
D.) 125°
Answer:
The correct option is A.
Step-by-step explanation:
Line A and B are parallel lines.
....(1) (Alternate exterior angles)
(Supplementary angles)
The value of x is 15.
Put this value in equation (1).
Therefore measures of angle 1 is 45° and option A is correct.
Answer:
45 i just took the test.
Step-by-step explanation:
Answer:
f(x) = 2x - 7
Step-by-step explanation:
Plug in the numbers on the right and see what answer is right
f(x) = 2x(1) - 7=-5
f(x) = 2x(2) - 7=-3
f(x) = 2x(3) - 7=-1
f(x) = 2x(4) - 7=1
Answer: -0.619
Step-by-step explanation:
Answer: EF = 12 units
Step-by-step explanation:
Given : Quadrilateral ABCD is similar to Quadrilateral EFGH.
The scale factor is 3:2.
We know that the scale factor is the ratio of the corresponding sides of two similar figures.
So if Quadrilateral ABCD is similar to Quadrilateral EFGH, the side AB corresponds to side EF.
If AB = 18, then we have the following equation:-
Answer: 3
Step-by-step explanation:
We can find the gradient, or slope, of the line by looking at the equation. This equation is given in slope-intercept form equation which is y = mx + b, where m is the gradient/slope.
y = 3x + 8
y = 3x + 8 ➜ the gradient is 3
The gradient of the line is 3.
The equation of line given is y = 3x + 8.
To find the gradient of the line, compare it with the standard slope-intercept form y = mx + b, where m is the gradient (slope).
Comparing the equations:
m (gradient) = 3
Hence, the gradient of the line is 3.
Read more about gradients at: