Answer:
There are 35 dogs in the pet home.
Step-by-step explanation:
3:5 is the ratio, 3 being cats and 5 being dogs
Since there are 21 cats, you would do 21/3 to find the ratio value - which is 7
Now, multiply 5 times 7 to get the amount of dogs, which is 35.
You keep getting 79 because that's the answer silly!
The resultant force in this item, is that which connects the heads of the magnitude of the given vectors. The magnitude of the resultant force can be calculated through the Pythagorean theorem which states that the square of the resultant force should be equal to the sum of the squares of the smaller forces. That is,
A² + B² = C²
Investigating the vector values,
A² + B² = (3.5 lb)² + (6.2 lb)² = 50.69 lb²
C² = (9.1 lb)² = 82.81 lb²
Since the Pythagorean theorem is not satisfied by the given set of forces then, the forces are not in right angle.
The answer to the question is letter C.
[tan(y) + cot (y)]/csc (y)
tan (y) = sin (y)/cos (y)
cot (y) = cos (y)/sin (y)
csc (y) = 1/sin (y).
Now rewrite the expression with the equivalent values
[sin (y)/cos (y) + cos (y)/sin (y) ] / [1/sin (y)]
1st, let's work the Numerator only = [sin (y)/cos (y) + cos (y)].
= [(cos² (y) + sin² (y)]/ [cos (y).sin(y)]
or (cos² (y) + sin² (y) = 1, →Numerator = 1/[cos (y).sin(y)]
Denominator = csc (y) = [1/sin (y)], Then:
N/D = 1/[cos (y).sin(y)] / [1/sin (y)] = [1 x sin (y)]/ [cos (y).sin (y)] = 1/cos (y)
Or 1/cos (y) = sec (y) Q.E.D
Answer: (0, 5) and (-2, 0)
<u>Step-by-step explanation:</u>
10x - 4y = -20
Let x = 0, then 10(0) - 4y = -20
-4y = -20
<u> ÷ -4 </u> <u>÷ -4 </u>
y = 5
Let y = 0, then 10x - 4(0) = -20
10x - 0 = -20
<u> ÷10 </u> <u> ÷10 </u>
x = -2
