Answer:
11n=35
Step-by-step explanation:
First, you do 2n+9n
2n+9n+11n
11n-8=27
Next, you add 8 to each side
11n=27+8
11n=35
Answer:
21040
Step-by-step explanation:
As with base-10 addition, when the sum is equal to the base or more, a "carry" is generated into the next place value column. Useful equivalents here are ...
5₁₀ = 10₅
6₁₀ = 11₅
7₁₀ = 12₅
9₁₀ = 14₅
10₁₀ = 20₅
The addition is shown in the attachment. The sum is 21040₅.
_____
The equivalent decimal addition problem is 433+499+463=1395.
Answer:
Each base angle of one triangle is 54°
Step-by-step explanation:
Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).
Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:
(180 – 72)/2 = 54°.
Each base angle of one triangle is 54°
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB =
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
=
=
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC =
≈ 18.7 cm ( to 1 dec. place )
96.2857143 would be the answer because you add all the numbers together then divided by 7