Answer:
x=0,05555555... or x = 3/54 or x= 1/18
Step-by-step explanation:
81x-27x-3
54x=3
Answer: The equation is W^2 + 4W - 96= 0
{Please note that ^2 means raised to the power of 2}
Step-by-step explanation: We have been given hints as to the measurement of the length and width of the rectangle. The length is given as four more than the width. What that means is that whatever is the width, we simply add four to get the measurement of the length. Therefore if the width is W, then the length is W + 4.
That is,
L = W + 4 and
W = W
Also we have the area given as 96.
Remember that the area of a rectangle is given as
Area = L x W.
In this question, the Area is expressed as
Area = (W + 4) x W
96 = W^2 + 4W
Subtract 96 from both sides of the equation and we have
W^2 + 4W - 96 = 0.
We now have a quadratic equation from which we can determine the dimensions of the rectangle
Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
200km
Step-by-step explanation:
<u>Given </u>
1cm = 25 km 8cm =?
<u>Solve</u>
if 1cm = 25,
then multiply 8 cm by 25.
Which is 200 km
There is some disagreement whether parallelograms, which have two pairs of parallel sides, should be regarded as trapezoids. Some define a trapezoid as a quadrilateral having only one pair of parallel sides (the exclusive definition), thereby excluding parallelograms.
In other words, sometimes.
