P=2x+2y, y=(p-2x)/2
a=xy, using y found above in this equation gives you:
a=(px-2x^2)/2 we are told a=12 and p=16 so
12=(16x-2x^2)/2
24=16x-2x^2
2x^2-16x+24=0
2x^2-12x-4x+24=0
2x(x-6)-4(x-6)=0
(2x-4)(x-6)=0
2(x-2)(x-6)=0
So the table is 2 ft by 6 ft.
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Step-by-step explanation:
In order to solve this question we use ratio and proportion
From the question
3 apples were sold for $2.00
Then
10 apples will be sold for what
That's
<h2>
</h2>
Hope this helps you
for the first one set 3y+y=180 and y+x=180
the second one set w+y=180, 42+x=180, y+20=180, and 87+v
