<h3>The weight of small package is 5 ounces</h3>
<u><em>Solution:</em></u>
The price of mailing a small package is $0.32 for the first ounce
$0.21 for an additional ounce
Let "x" be the additional ounces
From given,
Simone paid $1.16 to mail her package
First ounce = $ 0.32
Therefore,
Money paid for additional ounces = 1.16 - 0.32 = $ 0.84
Given that,
$0.21 for an additional ounce
Therefore,
Thus weight of package = first ounce + 4 additional ounces = 5 ounces
Thus the weight of small package is 5 ounces
Answer:
50.80 cm^3
Step-by-step explanation:
the polyhedron is a rectangular pyramid
Volume of a rectangular pyramid = 1/3 x ( width x height x length)
1/3 ( 4 x 5 x 3) = 20 inches
we need to convert inches to cm
1 in = 2.54 cm
20 x 2.54 = 50.80 cm^3
Answer: Range - 12 Median - 59
Step-by-step explanation: To find the range order your numbers from least to greatest then subtract the smallest from the highest 61-49 = 12 then for the median do the same in ordering the numbers then count how many you have. The number in the middle is your median. If there is two add them and divided by two. 59. Hope this helped!
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is 
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation 
are given by
where 
That is, the factors of the polynomial are and .
So, Area of the square design = = 
Area of a square = Length^2
Thus, the length of the sign is inches
Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
