A flooring company needs to tile a section of a kitchen that is in the shape of a triangle.
1 answer:
Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft
Explanation:
The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:
1. Write the general equation
2. Replace the letters with the values you have
3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol
21 x 2 = 6b -For example 2 divided 6b but if it is changed to the other side it needs to multiply
42 = 6 b
42 / 6 = b
b = 7
This means the value of the height is 7 ft. If you want to double-check this, use the original formula:
A = 6 ft x 7 ft / 2
A= 42 / 2
A= 21
You might be interested in
The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 4
c = 20
^^^Plug these numbers into the theorem
solve for x
+ 16 = 400
= 384
x = 8√6
or
x ≈ 19.5959....
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
See photo
Step-by-step explanation:
We can fill out many of these pretty easily. Look at the picture below. (Black numbers represent what information they already gave us)
Now, for the actual math.
If a total of 46 seventh-graders were surveyed and 28 seventh-graders spent more than an hour on their phone, then that means that there would have to be 46-28=18 students that spend less than an hour on their phone.
If there are 43 total students that spend more than an hour on their phone, and 28 of those are seventh-graders, then there are 43-28=15 eighth-graders that spend more than an hour on their phone
Then, if there are 27 total eighth-graders, and 15 of those spend more than an hour, then that leaves 27-15=12 eighth-graders that spend less than an hour on their phone.
Lastly, figure out the total numbers.
There are 18 seventh-graders and 12 eighth-graders that spend less than an hour on their phone, so there is a total of 18+12 = 30 students that spend less than an hour on their phone.
There are a total of 46 seventh-graders and 27 eighth-graders that were surveyed, which is a total of 73 students surveyed.
