Answer:
j = 19.6
k = 25.9
J = 49°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.
<h3>Analysis</h3>
The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.
<h3>Application</h3>
Hypotenuse = Opposite/Sin
IJ = 17/sin(41°) ≈ 25.9
Adjacent = Opposite/Tan
IK = 17/tan(41°) ≈ 19.6
Angle J = 90° -41° = 49°
In summary, ...
j = 19.6
k = 25.9
J = 49°
Hello,
which principle?
f(x)=-x²+2x
==>f'(x)= -2x+2
You mean maybe this
f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x
Answer:
Divide the numerator and denominator
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product.
Answer:
4 gallons of paint
Step-by-step explanation:
We solve using the formula for surface area of rectangular prism.
A=2(wl+hl+hw)
Where:
w = Width
h = Height
l = Length
The pool is 4 feet deep, 18 feet long, and 12 feet wide.
Hence,
=2 × (12 × 18 + 4 × 18 + 4 ×12)
=672 square feet
One gallon of paint covers 155 square feet.
Hence,
155 square feet = 1 gallon of paint
672 square feet = x
Cross Multiply
155 square feet × x = 672 square feet × 1 gallon of paint
x = 672 square feet × 1 gallon of paint/ 155 square feet
x = 4.335483871 gallons of paint
Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint
