All categories

2 years ago

Pls help. Find radicals in simplest form find missing side lengths

Mathematics

1 answer:

MArishka [77]2 years ago

8 0

High school math tip: learn how to apply the ratios 1:1:√2 for the 45/45/90 right triangle and 1:√3:2 for the 30/60/90 triangle; these two triangles probably constitute 90% of the examples and problems you'll see.

He we have half a square, the 45/45/90 isosceles right triangle, sides in ratio 1:1:√2. We write that ratio for our sides and solve.

1:1:√2 = (3/2)√2 : y : x

Ratios are pretty much like fractions, and we can make fraction equations out of corresponding pairs:

1/1 = ( (3/2)√2 ) / y

y = (3/2)√2

1 /√2 = (3/2)√2 / x

x = (3/2)√2 × √2 = (3/2)(2) = 3

Answer: y = (3/2)√2, x = 3

It's not too hard to get fast at these and just say y=(3/2)√2 because it's an isosceles triangle and x = y×√2 = 3 for the hypotenise.

You might be interested in

Juan graphed a line with a slope of −23 .

Licemer1 [7]

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

3 0

1 year ago

Read 2 more answers

Is 7,24,25 form a right angle

NikAS [45]

Yes it does.
A and B are *2
That will be C *2 + D *2 is gonna be
a right triangle of 7,24,25

3 0

2 years ago

The center of a circle lies on the line y = 4x + 1 and is tangent to the x-axis at (−3,0) . What is the equation of the circle i

Hunter-Best [27]

Answer:

$(x+3)^2+(y+11)^2=121$

Step-by-step explanation:

Consider a sketch of the problem as shown in the picture, where:

Blue line is given by y = 4x + 1.
Point B is the center of the circle.
Point A is (-3, 0).

Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.

So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.

Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by

$(x-h)^2+(y-k)^2=r^2$

then with h = -3, k = -11 and r= 11, the equation of our circle is

$(x+3)^2+(y+11)^2=121$

5 0

2 years ago

Please anyone help

serg [7]

5.46 to 3 sig figs means the range is {5.455,5.465} and 17.74 means the range {17.735,17.745}.
p=q²/r has a maximum value when q=5.465 and r=17.735 and a minimum value when 5.455 and r=17.745.
So the range of p is 1.6769 to 1.6840. When we have 2 decimal places we get p=1.68 which accommodates the maximum and minimum values of the range. So 2 decimal places is a suitable degree of accuracy, or we could say 3 significant figures.

7 0

2 years ago

Read 2 more answers

Triangle ABC contains the point A(5,2). Find the coordinates of A' after a reflection over the x-axis

Sholpan [36]

Answer:

Step-by-step explanation:

Should be 5,-2 OR NOT

4 0

3 years ago

Pls help. Find radicals in simplest form find missing side lengths​

Pls help. Find radicals in simplest form find missing side lengths