If pp is inversely proportional to the square of qq, and pp is 24 when qq is 7, determine pp when qq is equal to 2.

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Cerrena [4.2K]

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

5 0

2 years ago

Write the equation of an ellipse with a major axis of length 8 and co-vertices (0,3) and (0,-3)

alexandr1967 [171]

If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis. That means that the x axis is the major axis. Because of what the co-vertices are, the center of the ellipse is at the origin. The formula for an ellipse that has a horizontal major axis is $\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1$ . The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis. Here, its the x-axis. a is the distance that the outer edge of the ellipse is from the center. It's 8 units away from the center along the x axis and 3 units along the y axis from the center. So a = 8 and a^2 = 64; b = 3 and b^2 = 9. Our formula then is $\frac{x^2}{64}+ \frac{y^2}{9}=1$

8 0

3 years ago

In the triangle XYZ the measure of angle YXZ is 50 degrees and the measure of angle XYZ is 75 degrees. What is the measure of an

lbvjy [14]

<h2>Answer: 55 degrees</h2>

Step-by-step explanation:

Every triangle has 3 sides and 3 interior angles whose measures sum to 180 degrees. For example, a triangle with angles $\theta$ , $\alpha$ and $\beta$ :