The metal day fair has a recycling center that will a pay 10% early fee on the amount collected plus $2.75 for each metal collected to be recycled .If Isa brings 12.5 kilograms of metal to be recycled which is the closet amount of money she will receive.

Answers

Answer 1
Answer:

Answer:

$37.8125

Step-by-step explanation:

$2.75 x 12.5 = 34.375

34.375 x 10% = 3.4375

$34.375 + 3.4375 = 37.8125


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What is the value? 3/4 + 7/12 - (-4)

Answers

Answer: 3/4 + 7/12 - (-4) = 3/4 + 7/12 + 4 (two minuses make a plus)

3/4 + 7/12 + 4/1 = 9/12 + 7/12 + 48/12           (4 = 4/1 or 4 divided by 1)  

(to add the fractions the denominators need to be the same. Multiply both the denominator and numerator by the same number)

(9+7+48)/12 = 64/12 = 5 and 1/3 or 16/3

We can also get this answer by leaving the 4 as a whole number:

9/12 + 7/12 +4 = 16/12 + 4 = 1 and 1/3 + 4 = 5 and 1/3

If you put the sum in a calclator you also get 5 and 1/3.

Hope this helps :)

What is the simplified form of this expression?

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answers

Answer:

7x² - 2x + 4

Step-by-step explanation:

(5x² + 2x + 11) - (7 + 4x - 2x²) = 5x² + 2x + 11 - 7 - 4x + 2x² =

(5x² + 2x²) + (2x - 4x) + (11 - 7) = 7x² - 2x + 4

A technique used to rewrite a quadratic function in standard form to vertex form is

Answers

The vertex form of a quadratic function is given by
                                      
f(x)=a(x-h)^(2)+k,
where (h,k) is the vertex of parabola. In some literatures, the standard form of the quadratic equation is written as 
                                     f(x)=a x^(2) +bx+c 
Therefore, in order to avoid the confusion, the first equation is taken as a vertex form. When the standard form is converted into the vertex form, the process is called completing the square

Answer:

completing the square.

Step-by-step explanation:

trust me

Work out the height of this cone

Answers

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm

What is the area of an isosceles trapezoid, if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular to each other?

Answers

Call the point of intersection of the diagonals point X.

Each base is the hypotenuse of an isosceles right triangle whose sides are the diagonals and whose 90° angle is at X. The altitude of that triangle (⊥ distance to the base from X) is half the length of the hypotenuse. Then the height of the trapezoid is half the sum of the base lengths.

The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.

... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²

Final answer:

The area of the given isosceles trapezoid is 345 square cm.

Explanation:

To solve this problem, we need to remember that the area (A) of a trapezoid is given by the formula A = 0.5 * (b1+b2) * h, where b1 and b2 are the lengths of the two bases and h is the height. When the diagonals of an isosceles trapezoid are perpendicular to each other, it can be divided into two right triangles with bases 7 cm and 16 cm (as 30-16=14 and 14/2=7) and height h. From here, we can calculate that the hypotenuse (diagonal) is equal to sqrt(7^2 + 16^2) = 17. Hence, it is a Pythagorean triple, meaning the height is 15 cm. Using the formula for the area of a trapezoid, we can now calculate the area to be 0.5 * (16+30) * 15 = 345 cm^2.

Learn more about Isosceles Trapezoid Area here:

brainly.com/question/35497414

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HELP PLEASE!!!!! WILL MARK AS BRAINLIEST!!!!

Answers


ASA we need a second angle that is next to the side

SAS we need a side next to the angle

Choice B