Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3
cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3 )² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф = 
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) = 
∵ sin(∠W) = 
- Use 
to find ∠W
∴ ∠W = 
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) = 
∵ sin(∠V) = 
- Use to find ∠V
∴ ∠V = 
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤ 60 Combine the tax, tip, scone and Lattes
(1.17) * (4.5x + 3) ≤ 60 Divide by 1.17
4.5x + 3 ≤ 60 / 1.17
4.5x + 3 ≤ 51.28 Subtract 3
4.5x ≤ 48.28 Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72
Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer..
Answer: 10 <<<<
Answer:
Step-by-step explanation:
X^4 - 10X^2 + 9 =0 This factors. It just looks odd.
(x^2 - 1)(x^2 - 9) = 0
x^2 - 1 = (x + 1)(x - 1) = 0
x = 1 and x = - 1
x^2 - 9 = (x + 3)(x - 3) = 0
x = 3
x = -3
The correct answer is C (third one down).
Answer:
ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )
ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180
ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)
HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )
Answer:
x=2.080084
Step-by-step explanation: take cube root
