12 dogs to 92 cats.
12/92
Both 12 and 92 are divisible by 4.
12/4=3
92/4=23
Simplified ratio: 3/23
There are 3 dogs for every 23 cats.
So,
We just have to substitute the appropriate words for the operations and grouping symbols.
A. Twenty times the quantity of the difference between y and 3.
B. The sum of the quotient of x and 9, and 5
Substitute -1 for the variable x.
f(-1) = 2(-1) - 2
f(-1) = -2 - 2
f(-1) = -4
Answer:
Step-by-step explanation:
The real part does not have i as a multiplier. It is 23.3.
The imaginary part* is the coefficient of i: 44.
_____
* There is some disagreement as to whether the imaginary part includes i or not. One source says the imaginary part is the part that has i as a factor (44i). Another source says the imaginary part is the real number that multiplies i (44). Above, we have used the latter definition. Please consult your curriculum materials for the definition you should use.
Answer:
m∠B ≈ 51.5°
Step-by-step explanation:
A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.
<h3>Length BC</h3>
The Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529
a ≈ 24.8903
<h3>Angle B</h3>
The Law of Sines tells us ...
sin(B)/b = sin(A)/a
B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)
B ≈ 57.519°
The measure of angle B is about 57.5°.
