The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of π is 3.14. The measure of the angle defining the sector is °.'

Answers

Answer 1
Answer: Area = (theta/360)* pi * r^2 
where theta is the angle of  the sector 
subs by your givens in the above equation 
2.512 = (theta/360) * pi * (4)^2 
theta = (2.512 * 360) /(pi*(4)^2)
theta = 18 degree 

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A bottle rocket that was made in science class had a trajectory path that followed the quadratic equation y=-x^2+4x+6. What is the turning point of the rocket's path?1) (1,5)
2) (2,10)
3) (-2,-10)
4) (1,-5)

Answers

y=-x^2+4x+6 \n \na =-1, \ b = 4 , \ c=6 \n \n The \ vertex \ is \ (x,f(x)) \n \nx=(-b)/(2a) =(-4)/(2\cdot (-1))=(-4)/(-2)=2\n \n f(2)=-x^2+4x+6 =-2^2+4 \cdot 2+6 =-4+8+6=10 \n \n The \ vertex \ is \ (2,10) \n \n \n Answer: \ 2) \ \ (2,10)

The ____ is a metric unit for mass.A : Meter

B : Gram

C : Liter

Answers

The gram is a metric unit for mass.

Your answer is B: Gram

Carlos had to manage his inventory of veggies. He had to balance the number of carrots, c, with the number of tomatoes, t. 4c - 6t = 6 2c + 2t = 8. How many tomatoes should he have?

Answers

carlos should have 1 tomato
if you solve the 2nd equation for c and plug it in you get 1

jimmy has a 60 gallon limit if he already has 1/4 of it how much more does he need to fill up the entire 60 gallons of gas? why?

Answers

I think 60 - 25 = 35 because, 1/4 is equal to a quarter for example: 3/4 is 75. Think of money! Act like someone gives you 2/4’s of Quarters and how much do they give you? 50 cents.

0.083 repeding as a percentage?

Answers


0.083 as a percentage would be 8.3% with a horizontal bar on top of the three to indicate that it is repeating.

To find percentage, multiply a decimal by 100.

Hope it helps

Dan pays £714.73 a year in his car insurance. The insurance company reduces the price by 4.1%. How much does the insurance cost now? Give your answer to 2 DP.

Answers

Answer:

£682.57

Step-by-step explanation:

Dan pays £714.73 a year in his car insurance.

The price was reduced by 4.1%

To find the new cost of the insurance, we simply need to find 4.15% of £714.73 and then subtract that from the initial price of the insurance (£714.73)

4.5% of 714.73 is:

(4.5)/(100) * 714.73 = £32.16

Then, the cost of the insurance now is:

£714.73 - £32.16 = £682.57

The insurance now costs £682.57

Final answer:

To calculate the new price of the insurance, we first calculate the discount, which is 4.1% of the original price (£714.73). Then, subtract this discount from the original price. Understanding percentage reduction is fundamental in calculating such discounts.

Explanation:

To calculate the new cost of car insurance, we will subtract the 4.1% reduction from the original price of £714.73. The percentage reduction can be calculated using the formula: Discount = Original Price x (Percentage / 100).

In our case, the discount is given by: Discount = £714.73 x (4.1 / 100).

Then, we subtract this discount from the original price to obtain the new price of insurance: New Price = Original Price - Discount.

Insurance premiums are a significant factor in personal finance, but factors like discounts can make them more affordable. It is crucial to understand the concept of percentage reductions to comprehend how discounts significantly affect the final cost for services such as insurance.

Learn more about Percentage Reduction here:

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