The equation that can be used to represent the area of the triangle is A(x) = 0.5(f ∙ g)(x) ⇒ 2nd answer
Step-by-step explanation:
The formula of the area of a triangle is A = 
b h, where
- b is the length of the base of the triangle
- h is the length of the height of the triangle
∵ The area of the triangle when x = 2 is 14
∴ The base and the height of the triangle are functions of x
Assume that the length of the base of the triangle is represented by f(x) and the length of the height of the triangle is represented by g(x)
∵ A = = b h
∵ b = f(x)
∵ h = g(x)
- Substitute b by f(x) and h by g(x) in the rule and replace A by
A(x) because the area of the triangle is a function of x
∴ A(x) = f(x) . g(x)
∵ f(x) . g(x) can be written as (f . g)(x)
∴ A = (f . g)(x)
∵ = 0.5
∴ A = 0.5(f . g)(x)
The equation that can be used to represent the area of the triangle is A(x) = 0.5(f ∙ g)(x)
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Answer:
∠B = 41°
Step-by-step explanation:
<u>Step 1</u>: Recognize that ∠B and ∠A are "remote interior angles" with respect to the exterior angle at C. Hence their sum will be equal to the measure of the exterior angle.
<u>Step 2</u>. Compute angle B as the difference between the exterior angle at C and the interior angle at A:
113° - 72° = ∠B = 41°
Answer:
So, the original amount was 58 ounces , then in 15 secs, we get 28, So the amount we lost was 30 by 15, giving us the slope of<em> 2 ounces lost per second.</em> Now that we know the slope, we can answer the questions
A. We can get the equation by finding the y int. (below) and writing it as y=-2x+68
B. Since we lost 2 ounces per second, we need to add up 2 ounces for every second lost. 2x5=10+58= <u><em>68 ounces at the beginning.
</em></u>
C. Since we have the formula and the slope, we just need to find when y hits 0. and that is: <em>After 34 seconds.</em>
Step-by-step explanation:
:D hope this helps
Answer:
Each computer costs £279.
37 computers will be needed.
a)Estimate how much money will she need altogher to purchase the computers?
£279 · 37 = £10,323
b) Estimate how much tickets will she need to sell in order to buy all of the computers? Susana plans to sell each raffle ticket for £1.89.
£10,323/£1.89 = 5461.905 tickets.
c) On Thursday, the day before the raffle, Susana had sold 4176 tickets. Estimate how many more tickets she will need to sell in order to buy all of the computers.
5461.905 tickets - 4176 tickets = 1285.905 tickets ≈ 1286 tickets
The range is {7, 9, 13, 17, 25}
