1 Chicken have = 2 legs
1 Cow have = 4 legs
No of cows = x
No of chickens = y
Total no of legs = 4x + 2y = 210.............(1)
Total No of heads = x + y = 84................(2)
x = 84 - y....( from (2) )
Substituting the above equation in (1)
4 ( 84 - y) + 2y = 210
336 - 4y + 2y = 210
336 - 2y = 210
-2y = -126
= y = 63
No of cows = 84-63 = 21
∴ <u><em>Total no of cows = 21</em></u>
<u><em>Total no of chickens = 63</em></u>
Answer:
3 1/2 (three and one-half)
Step-by-step explanation:
Change 1 3/4 to 7/4.
Do keep, change, flip.
Keep the first fraction.
Change division to multiplication.
Flip 1/2 to 2/1.
Do 7/4 x 2/1 and get 14/4
Divide 14 by 4
You get 3.5 and you convert that to 3 1/2
Answer: b. 180
Step-by-step explanation:
The sum of the angles of a triangle is 180°.
Answer:
The vertex would be D) (-2, -32)
Step-by-step explanation:
To find the vertex , start by find the x-value. For this we can use the equation below.
x = -b/2a
In which a is the coefficient of x^2 and b is the coefficient of x.
x = -b/2a
x = -(8)/2(2)
x = -8/4
x = -2
Now that we have x, we find y by plugging -2 in for each x.
y = 2x^2 + 8x - 24
y = 2(-2)^2 + 8(-2) - 24
y = 2(4) - 16 - 24
y = 8 - 16 - 24
y = -32
We assume that the dimension 5 has units of feet.
The area of each triangle will be
A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
A = (1/2)(2×5 ft)(5 ft)(tan(54°)
A = 25×tan(54°) ft²
There are 5 such triangles making up this pentagon, so the total area is
total area = 5×25×tan(54°) ft²
≈ 172 ft²
