Answer:
There are 70 sheep in the farm.
Step-by-step explanation:
Consider the provided information.
Let c represents the cows, s represents the sheep and p represents the pigs.
The number of cows and the number of sheep are in the ratio 6:5.


The number of sheep and the number of pigs are in the ratio 2:1.


The total number is 189.

Substitute the value of c and p in above.




Hence, there are 70 sheep in the farm.
Answer:
The second one
210 lbs
Step-by-step explanation:
The difference between 7 and 4 is 3
90/3 = 30
30 times 7 = 210
1. Check the drawing of the rhombus ABCD in the picture attached.
2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.
3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°
ii) are perpendicular to each other, so m(DOC)=90°
4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.
5. By the pythagorean theorem,

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*

=

(

)
Answer:
Length: 14 feet Width: 1 foot
Step-by-step explanation:
This is the only way to have a rectangle that has a perimeter of 30 feet, and an area of 14 feet.
For perimeter:
14 + 14 = 28
1 + 1 = 2
2 + 28 = 30
These dimensions have a perimeter of 30.
For area:
14 x 1 = 14
These dimesnions also have an area of 14.
So, 14 and 1 are the correct dimensions!
Answer:
The area of the rectangle is 0.0875 sq ft.
Step-by-step explanation:
Given that,
The length of the rectangle, L = 0.35 feet
The breadth of the rectangle, B = 1/4 feet
We need to find the area of the rectangle. The formula for the area of a rectangle is given by :
A = LB
Put all the values,

So, the area of the rectangle is 0.0875 sq feet.