Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
The first option, because if it’s 291 yards and 1/4 BELOW (below: meaning negative because you are under the usual sea level).
-291 (1/4)
Hope this helped!
Answer:
True answer: -24
Step-by-step explanation:
<em><u>Showing the error</u></em>
-16-2(-2) – 12 First you need to multiply
8(-2) - 12 The error here is that the wrong numbers are multiplied together
-16-12 Add the negatives together
-28 Your answer (the incorrect one)
<em><u /></em>
<em><u>The correct way of solving it</u></em>
-16 -2(-2) - 12 Multiply into the parenthesis
-16 + 4 -12 Add the first two numbers
-12 - 12 Add the numbers together
-24 The answer
Answer:
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.
Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
Therefore the value of x is 12 feet
