Answer:
30.6 cm²
Step-by-step explanation:
The area of the parallelogram is simply the sum of the areas of the component three shapes - the square and the two triangles.
Area of square = 4.5 cm × 4.5 cm = 20.25 cm²
Area of two triangles = 2 ×(1/2) × 2.3 cm × 4.5 cm = 10.35 cm²
Area of parallelogram = 20.25 cm² + 10.35 cm² = 30.6 cm²
Answer:
If a person selected at random from this group is a man, there is a 31.25% probability that the person favors raising the drinking age.
Step-by-step explanation:
We have these following informations:
There are 1000 people in total.
540 favored raising the age. Of them 390 were female, and 540-390 = 150 were male.
460 were opposed. Of them, 130 were female and 460-130 = 330 were males.
If a person selected at random from this group is a man, what is the probability that the person favors raising the drinking age?
There are 150+330 = 480 males. Of them, 150 favors raising the drinking age.
So

If a person selected at random from this group is a man, there is a 31.25% probability that the person favors raising the drinking age.
The dimension of the box is 50in by 10in by 15in
<h3>How to calculate the volume of a figure</h3>
The volume of an object is the quantity of substance it contains.
The formula for calculating the volume of the box is expressed as:
V = lwh
where:
- l is the length
- w is the width
- h is the height
Given the following parameters
length = 5w
height = w + 5
Substiute
7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0
<u>Factorize to determine the width</u>
On factorizing, the width of the box is 10 inches
Recall that:
l = 5w
l = 5(10)
l = 50inches
<u>Get the height</u>
h = w + 5
h = 10 + 5
h = 15inches
Hence the dimension of the box is 50in by 10in by 15in
Learn more on volume of box here: brainly.com/question/14957364
Answer:
d) y = -6
Step-by-step explanation: