Answer:
He saw <u>1 duck</u> and <u>3 dogs</u>.
Step-by-step explanation:
Given:
Evan went to the park and saw four animals.
Each animal was either a duck or a dog.
He saw a total of 14 legs.
Now, to find the number of each animal he had seen.
Let the number of duck be 
And the number of dog be 
So, total number of animals:
Now, the total number of legs he did see:
<em>As we know the legs of a duck are 2 and a dog are 4.</em>
Adding both sides by -16 we get:
Dividing both sides by -2 we get:
The number of duck = 1.
Now, putting the value of 
in above equation we get:
The number of dogs = 3.
Therefore, he saw 1 duck and 3 dogs.
For this case we have the following trigonometric relationship:
cos (y) = 8/13
Clearing the value of and we have:
y = Acos (8/13)
Calculating the angle we have:
y = 52.02012756 degrees
Rounding off we have:
y = 52.02 degrees
Answer:
the measure of angle and is:
y = 52.02 degrees
Answer:
1 1/5
Step-by-step explanation:
2/5 x 3 as a Fraction = 1 1/5
Improper Fraction = 6/5
Mixed Number = 1 1/5
Answer:
C) Both
Step-by-step explanation:
The given equation is:
To solve the given equation, we can use the Zero Product Property according to which if the product <em>A.B = 0</em>, then either A = 0 OR B = 0.
Using this property:
So, Erik's solution strategy would work.
Now, let us discuss about Caleb's solution strategy:
Multiply 
i.e. 
= 
So, the equation becomes:
Comparing this equation to standard quadratic equation:
a = 3, b = -10, c = -8
So, this can be solved using the quadratic formula.
The answer is same from both the approaches.
So, the correct answer is:
C) Both
Answer:
x = 40
Step-by-step explanation:
The ADF is 90 degrees so the CAF will also be 90
So you do
( x + 15 ) + 90 + 35 = 180
x + 15 + 90 + 35 - 90 = 180 -90
x + 15 + 35 = 90
x + 15 + 35 - 35 = 90 - 35
x + 15 = 55
x + 15 - 15 = 55 - 15
x = 40
