What is the slope of the line which passes through (4, 5) and (0, 1)?

The two shortest sides of a right triangle are 10 in. And 24 in. long. What is the length of the shortest side of a similar righ

ivanzaharov [21]

If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
$\sqrt{10^2 + 24^2}$
= $\sqrt{676}$
= $26$

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If $x$ = the scale factor the first triangle is enlarged by then
$26x = 39$ and $24x = 36$
⇒ $x = 1.5$

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
$10(1.5) = 15$
So the length of the shortest side of the other triangle is 15in.

You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.

5 0

3 years ago

Read 2 more answers

What event would be complementary to the event that the product is an even number?

Phantasy [73]

The only possibility if a number is not even is that it is odd. Thus, the event would be the product is an odd number.

7 0

3 years ago

The equation (x + 6)^2 + (y + 4)^2 = 36 models the position and range of the source of a radio signal. Describe the position of

ElenaW [278]

A circle equation is :
( x - p )² + ( y - q )² = r², where p and q are coordinates of the center.
The position of the source is : ( - 6, - 4 ) and the range :
r² = 36 ⇒ r = 6

3 0

3 years ago

Read 2 more answers

Use compatible numbers to find two estomatoes 27÷735

yuradex [85]

The 0.072 will be you're answer

6 0

2 years ago

Two cars are traveling down the highway with the same speed. If the first car increases its speed by 1km/hr, and the other car d

Olegator [25]

Answer:

The speed of the cars is $32 \frac{km}{h}$