Sin D - 4/5
This is because sin would mean Opposite/Hypotenuse, and so if the angle is D then the opposite is 4.
sin C - 3/5
This is basically the same reason as sin D, however this time the Opposite is 3.
sin D × cos D - 4/5 × 3/5 = 12/25
For here, you just get the fractions of sin D, which we got earlier, and cos D, which would be Adjacent/Hypotenuse and therefore 3/5.
tan C × tan D - Not an option
cos C × tan D - 16/15
This is because cos C would be 4/5, and tan D would be 4/3 (Opposite/Adjacent) and multiplying those fractions together gives 16/15.
I hope this helps!
Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:
,
then invert to show it equivalent form:
.
With that you have solved the equation for x.
Winston would need to sell 14 more hot dogs to earn $175
Step-by-step explanation:
The given is:
- Winston earns $140 by selling 56 hot dogs
- He is using the same rate for the cost of one hot dog
- He want to earn $175
We need to find how many more hot dogs would Winston need to sell to earn $175
∵ The he sold 56 hot dogs for $140
- Find the price of each hot dog by dividing 140 by 56
∴ The price of each hot dog = 140 ÷ 56 = 2.5
∴ The price of each hot dog is $2.5
∵ He need to earn $175
∵ He sells all hot dogs by the same price
- Divide 175 by 2.5 to find the number of the hot dogs
∵ 175 ÷ 2.5 = 70
∴ He must sell 70 hot dogs to earn $175
∵ He already sold 56
- Subtract 56 from 70 to find how many more hot dogs he
needs to sell
∵ 70 - 56 = 14
∴ He must sell another 14 hot dogs to earn that money
Winston would need to sell 14 more hot dogs to earn $175
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
#LearnwithBrainly
Given equation is
The given equation is in the form of
a^2= 16 , so a=4
b^2 = 9 so b= 4
The value of 'a' is greater than the value of 'b'
So it is a Horizontal hyperbola
First two graphs are horizontal hyperbola
Here center is (h,k)
h= 5 and k =2 from the given equation
So center is (5,2)
Now we find vertices
Vertices are (h+a,k) and (h-a,k)
We know h=5, k=2 and a=4
So vertices are (9,2) and (1,2)
Second graph having same vertices and center
The correct graph is attached below
Answer is, they are congruent.
