Answer:
c+s < 12, 2c+4s >= 30.
Step-by-step explanation:
Known: at least 30 legs, less than 12 heads.
Each animal has one head, so if there are less than 12 heads, then c + s < 12.
Sheep have four legs and chickens have two legs, so if there are at least 30 legs, then # of chicken legs + # of sheep legs >= 30, ----> c(2) + s(4) >= 30, ----> 2c + 4s >= 30.
The graph attached models the problem is you set the x axis as "c" (# of chickens) and y axis as "s" (# of sheep).
Answer:
We are given the function, f(x) = |2x+4| + 1.
Now, as we can see that this function is obtained after applying following transformation to the function g(x) = |x|.
1. Dilation i.e. shrinking the graph horizontally by 2 units
2. Translation i.e. shifting the figure in 4 units to the left and 1 unit up.
Hence, after plotting the function f(x) = |2x+4| + 1, we get the following graph.
Answer:
Answer:
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.
2.
x + y = 4.25 (1)
16.90x + 4y = 36.35 (2)
Multiply (1) by 4
4x + 4y = 17 (3)
16.90x + 4y = 36.35 (2)
Subtract (3) from (2)
16.90x - 4x = 36.35 - 17
12.90x = 19.35
Divide both sides by 12.90
x = 19.35 / 12.90
= 1.5
x = 1.5 yards
Substitute x = 1.5 yards into (1)
x + y = 4.25
1.5 + y = 4.25
y = 4.25 - 1.5
= 2.75
y = 2.75 yards
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
Answer:
Here they are Hope this helps :3
Step-by-step explanation:
1. 52
2. 4
7. (im not sure i think its H or A)
7.(not sure think its F)
8.x=6
Options A,B and D. The correction about the area of the triangle are
- The apothem can be found using the Pythagorean theorem.
- The apothem can be found using the tangent ratio.
- The length of the apothem is approximately 2.5 cm.
<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>
Firstly this is an equilateral triangle
3 of the sides have the length of 8.7cm
b = half of 8.7
= 4.35cm
To get A we have
a² + b² = c²
a² + 4.35² = 5²
When we solve this out we would have
a² = 25 - 18.9225
a ≈ 2.5 cm.
Hence we have proved that the first option is correct.
<u>For B,</u>
In an equilateral triangles, each of the angles = 60 degrees
60/2 = 30 is the angle that is made from the base
<h3>using tangent ratios </h3>
a / 4.35 = tan 30
then a = 4.35 tan 30
This would also give us an approximate of 2.5
For D
The calculations we have done based on the statements in A and B shows that D is correct as 2.5.
Read more on triangles here:
brainly.com/question/18404158
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