Answer:
The rectangle's area is 48 square meters
Step-by-step explanation:
Recall that the perimeter of a rectangle of base b and height h is given by the formula:
Perimeter = 2 b + 2 h
we know that the perimeter is 28 meters, then we can create our first equation;
2 b + 2 h = 28
which means:
2 (b + h) = 28
b + h = 28/2
b + h = 14
the tell us that the diagonal is 10 meters, so we use the Pythagorean theorem to write a second equation using the rectangle's base, height, and diagonal (which form in between the three a right angle triangle where the hypotenuse is the rectangle's diagonal:
So, we can use the equation : b + h = 14 to write one variable in terms of the other one and use it as substitution in the second (quadratic) equation:
h = 14 - b
then:
which we have reduced at the end by dividing both sides by 2.
we can use factoring to solve these equation;
Se we find two possible solutions: b = 6 m or b = 8 m
If we call b = 8 m, then the height becomes h = 14 - (8) = 6 m
and viceversa.
So a rectangle with such dimensions will render an area that equals :
Area = b x h = 8 x 6 = 48 square meters.
Answer:
a = 4
b = 2√3
Step-by-step explanation:
Here, we want to get the missing side lengths
We start by looking at the values that we are given
from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side
b faces the angle given and is also called the opposite
Lastly, the side marked 2 is the adjacent side
Now, the triangle given is called a 30-60-90 triangle
In a 30-60-90 triangle, the ratio of the sides are given as
1: √3:2
Thus, we have 1 as the adjacent
The opposite would be √3 * 2 = 2 √3 = b
Lastly , a = 2 * 2 = 4
Answer:
D
Step-by-step explanation:
i did a test with the same question
Answer:
25 miles/hour
Step-by-step explanation:
<u>Step 1: Find the unit speed</u>
Total miles / Total hours
50 / 2
25 miles/hour
Answer: 25 miles/hour