Hello!
Recall that the area of a triangle is:
A = 1/2(bh) where:
b = base of the triangle
h = height of the triangle
Plug in the given values:
242 = 1/2(44h)
Simplify:
242 = 22h
Divide both sides by 22:
242/22 = 22h/22
h = 11 feet.
Answer:
x = 10; x = 0
Step-by-step explanation:
x < 29 means x is less than 29. Any number less then 29 is a solution.
For example, pick x = 10. Since 10 < 29, x = 10 is a solution. How do we know x = 10 is a solution?
We start with x < 29.
Now replace x with 10.
10 < 29
Since 10 < 29 is a true statement, then x = 10 is a solution.
Now pick another number less than 29. For example, oick 0.
x = 0 is a solution.
Proof:
x < 29
Replace x with 0:
0 < 29
Since 0 < 29 is a true statement, then x = 0 is a solution.
You can give more solutions just by picking any numbers that are less than 29, such as 1, 2, 3, 15, 28, 23, -5, -18, etc.
Answer: x = 10; x = 0
Solution: We are given that the population of Virginia is 8 million.
Let x be the population of Nevada.
We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.
The first step is to on both sides.
add 2.8
The second step is to on both sides.
divide 4
The population of Nevada is million.
2.7
Answer:
BD = √97 cm ≈ 9.849 cm
Step-by-step explanation:
Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...
AB = 4 cm
AD = 9 cm
The sides are related to the diagonals by the Pythagorean theorem.
<h3>Pythagorean theorem</h3>
The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:
AB² +AD² = BD²
4² +9² = BD² = 16 +81 . . . . . evaluating the squares
BD = √97 . . . . . take the square root
The length of BD is √97 cm, about 9.849 cm.
Part +part = whole
?+.5=4.6
4.6-0.5=4.1
rock A weighs 4.1 kilos
