An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.
<h3>How to write an expression for the total cost?</h3>
In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:
- Let the cost for full-day be F.
- Let the cost for half-day be H.
Thus, the total cost of the daycare is given by:
T = 3F + 2H
Evaluating the expression, we have:
T = 3(28) + 2(15)
T = 84 + 30
T = $114.
Read more on expressions here: brainly.com/question/12189823
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The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
<h3>How to determine the
length of the
ladder?</h3>
The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
Read more about right triangles at:
brainly.com/question/2437195
1m is equal to 100cm, so the scale reduces the size of the actual object
The triangle is an isosceles triangle so that means the base angles must be congruent.
The sum of the interior angles of a triangle add up to 180 degrees.
Subtract 52 degrees from 180 degrees.
180 - 52 = 128
Divide 128 degrees by 2.
128/2 = 64
m∠X = 64°
Standard Form is Ax + By = C
y=2x+5
-2x+y= -2x+2x +5
-2x + y = 5
Answer -2x + y = 5
