The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:a² + b² = c²The ladder is the hypotenuse c²The vertical leg is b²The base or horizontal leg is a²We need to find the length of the base a², so:a² = c² - b²a² = 5² - 4²a² = 25 - 16a² = 9a = √9a = 3<span>Therefore the bottom of the ladder must be 3 feet from the wall.
Example:
</span>If the 24 foot ladder is leaned on the house with the bottom 8 feet from the base the wall of the house, then it will form a right angled triangle.The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.Let the hypotenuse be CLet the base be BLet the height be AWe use this formula: A squared + B squared = C squaredA sq + 8 sq = 24 sqA sq + 64 = 576A sq = 576 - 64A sq = 512A = Square root 512A = 22.6To the nearest 10th this will be 23<span>So the answer is 23 feet.</span>
Q:3
Ans: 10.12 x 10 power -5
Q:4
Ans: 5/8
Q:5
Ans: - x cube and + x square
Answer:
a = 16/3 or 5 1/3 or 5.33...
Step-by-step explanation:
to find a you must first make all of the denominators the same
you must find 4 6 and 2s CGF
and that is 12
so multiply a/4 by 3/3 and get 3a/12
then multiply 5/6 by 2/2 and get 10/12
and lastly multiply 1/2 by 6/6 and get 6/12
at this point you can set the equation up like this
3a/12 - 10/12 = 6/12
but then you can multiply everything by 12
3a - 10 = 6
and then solve
add 10 to both sides
3a = 16
then divide 3 on each side
a = 16/3 or 5 1/3 or 5.33...
Answer: The median score will remain the same at 91.
Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows the problem with original numbers. Image 2 shows problem with new numbers
Answer:
x = - 1
Step-by-step explanation:
The equation of the axis of symmetry for a parabola in standard form
y = ax² + bx + c : a ≠ 0 is found using
x = - 
y = - x² - 2x - 5 ← is in standard form
with a = - 1 and b = - 2, thus equation of axis of symmetry is
x = - 
= - 1
Equation of axis of symmetry is x = - 1
