Yumi wants to make 12 cups of party mix using candies and nuts her budget require the party mix to cost her $1 29 per cup. The c

To find the hypotenuse of a right triangle with sides measuring 3 and 4, we first need to use the Pythagorean theorem and then add that distance to 3 and 4.

By applying the theorem, the square of the hypotenuse equals the sum of the squares of the sides...

d^2=3^2+4^2

d^2=9+16

d^2=25

d=√25

d=5

Thus, the total distance for her run is 5+4+3=12 km

a. The point estimate for the population mean is b. The confidence interval at 80% is c. This means there is an 80% probability that the true mean of the population lies within the given confidence interval.

Answer:

1.4in

Step-by-step explanation:

Length of Photo = 4in

Width of Photo = 3in

Unknown:

Value of X =?

Solution:

Following these steps:

  Area of a rectangle  = l x w

Considering the photo is rectangular; area of photo:

  Area of photo  = 4in x 3in = 12in²

For the advertisement's area;

   Length of ad  = 4 + x

   Width of ad = 3 + x

Based on the relation that

                  the area of the photo  = area of ad

                           12in²  = area of ad

                   Area of ad  = 24in²

Advertising Area:

             (4 + x) (3 + x)  = 24

               12 + 4x + 3x + x² = 24

                12 + 7x + x²  = 24

                       x² + 7x = 24 - 12

                       x² + 7x = 12

                     x² + 7x - 12  = 0

                    Using the quadratic formula where

     a  = 1, b = 7 and c = -12

          x  =

     

          x =   or

          x  = 1.4  or  -8.4

therefore the answer is 1.4in

x is 1.4in

Responses

19 fiction books

7 nonfiction books

Explanation

x + y = 26............................................. (i)

x – y = 12............................................ (ii)

By adding the two equations, Elliot obtained the result of

2x = 38.

When divided by 2;

x = 19

Therefore, there are 19 fiction books.

Substituting x into equation (i),

x + y = 26            when x = 19

19 + y = 26

y = 26 - 19

   = 7

This means there are 7 nonfiction books

To demonstrate:

The angle drawn within a semicircle forms a right angle.

According to the inscribed angle theorem, the angle θ that is inscribed in a circle is half of the measure of the central angle. Thus, in a semicircle, the inscribed angle is half of 180 degrees, resulting in 90 degrees, which is a right angle. <span />