She earns $5.50 for every hour so:
3 hours and 45 minutes is 3.75 hours.
After rounding, she earns $20.63.
<h2>
Maximum area is 25 m²</h2>
Explanation:
Let L be the length and W be the width.
Aidan has 20 ft of fence with which to build a rectangular dog run.
Fencing = 2L + 2W = 20 ft
L + W = 10
W = 10 - L
We need to find what is the largest area that can be enclosed.
Area = Length x Width
A = LW
A = L x (10-L) = 10 L - L²
For maximum area differential is zero
So we have
dA = 0
10 - 2 L = 0
L = 5 m
W = 10 - 5 = 5 m
Area = 5 x 5 = 25 m²
Maximum area is 25 m²
Answer:
B: (4x - 7)(16x^2 + 28x + 49)
Step-by-step explanation:
64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3. This is the difference of two cubes. The appropriate formula for factoring such is
a^3 - b^3 = (a - b)(a^2 + ab + b^2). Therefore,
our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49). This is Answer B.
Answer:
The size is 37.5 degrees
Step-by-step explanation:
The total angle in the triangle is 180
Since the other two angles are congruent. it means that they are equal
Let us call each of the angles x
Mathematically,
x + x + 105 = 180
2x = 180-105
2x = 75
x = 75/2
x = 37.5
Answer:
cos theta=8/17
8/17=A/H
finding O,
O ² + A² =H ²
(8)²+O²=(17)²
64+O²=289
O²=289-64
O²=225
O=√225
O=15
we know that H=17, A=8, O=15
therefore, the other trigonometric ratios are
sinФ=O/H=15/17
tanФ=O/A=15/8
cosecФ=H/O=17/15
secФ=H/A=17/8
cotФ=A/O=8/15
hope it helps u!
