When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
<u>30 gallons solution 4% and 10 gallons solution 8%</u>
Step-by-step explanation:
<h3>x•4%+y•8%=40•5% </h3>
<em><u>4x+8y=40•5 and x+y=40</u></em>
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
Answer:
28.26m^2 (aka. 28.26 meters squared)
Step-by-step explanation:
The area of a circle is A=pi*r^2 where r is the radius of the circle.
Since r=3, then A=pi*3^2=9pi=28.26
Therefore, the area of the merry-go-round is 28.26 square meters
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>

<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)