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scoray [572]
3 years ago
13

What is the ninth triangular number?

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0
27 I think..... Oh darn I'm replying to my self
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Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
algol13
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.
8 0
3 years ago
Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth
Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

8 0
3 years ago
Help me please I really struggling ​
Naya [18.7K]

Answer:

pretty sure the middle is the not in the business class like where f and b meet

8 0
3 years ago
Simplify 3^8 ÷ 3^2 <br> A. 3^4<br> B. 3^10<br> C. 3^6<br> D. 3^6
olga_2 [115]

Answer: 3^6 so D or C

Step-by-step explanation:

When dividing two squares, you minus the number

3 0
3 years ago
Read 2 more answers
What is the angle relationships
VLD [36.1K]
They are same side interior!! Not alternate, they’d be on opposite sides of the line
7 0
3 years ago
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