Answer:
Step-by-step explanation:
a.
The angles given are 62° and 90°.
We know sum of angles in any triangle is 180° so the third angle must be 180-90-62 = 28°
We can find the sides if we know trigonometric functions
sin28° = opp. side/ hypothenuse = CA/BA = 8/BA
BA = 8/sin 28° ≈ 17
tan62°= opp.side/adj.side= BC/AC = BC/8
BC = 8 · tan62° ≈ 15
b.
We are given 2 sides 8.5 and 6.5 and that one angle is right, so the triangle is a right triangle, therefore we can apply Pythagorean Theorem to find the third side.
6.5² +FD² = 8.5², subtract 6.5² from both sides
FD² = 8.5²- 6.5², square and combine like terms
FD² = 30, square-root both sides
FD = √30
FD ≈ 5.47722, round to the nearest tenth
FD ≈ 5.5
We can find the angles if we know trigonometric functions.
sin ∡D = FE/DE = 6.5/8.5
∡D = sin^-1 (6.5/8.5)
∡D ≈ 49.9°
cos ∡E = FE/DE = 6.5/8.5
∡E = cos^-1 (6.5/8.5)
∡E ≈ 40.1°
Answer:
30 centimeters
Step-by-step explanation:
since the width is 4 centimeters more than 3/10 of the length, then 13 is 4 centimeters more than 3/10 of the length. 4 less than 13 is 9, so nine is 3/10 of the length. if 9 is 3/10, then 3 is 1/10 because 3/10 is three times 1/10. If 3 is 1/10, that means that 30 is the length because 1/10 multiplied by 10 is 10 tenths, or 1.
Answer:
v/2
Step-by-step explanation:
First, if we expand the expression we know that it is equal to (4/8)*(v^3/v^2)
We can simplify the numbers to get (1/2)*(v^3/v^2)
We know that division of exponents is just subtraction of them, so v³/v² = v^(3-2) = v^1 = v
So, the answer is 1/2 * v or v/2
I hope this helps!
f(x) = 3x²
g(x) = 4x³ + 1
f(g(x)) = 3.(4x³ + 1)²
As we know
(a + b)² = a² + 2.a.b + b²
So,
(4x³ + 1) = (4x³)² + 2.4x³.1 + 1² = 
f(g(x)) = 3.()
The degree is the maximum exponent, so, 6.
An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.
Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,
Rope left = 84 inches - 34.5 inches
Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,
The number of sections, n = Rope left/8.25 inches
= (84 -34.5)inches /8.25 inches
= 6
Hence, the number of sections that Mario can cut from the rope is 6.
Learn more about Equation:
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