MATHEMATICS MIDDLE SCHOOL

Suzanne needs material for her school project she buys 4.75 yards of material at $5.37 a yard what is the total cost of material round to the nearest cent a.$25.51 b.$30.61 c$255.08 d.$10.12

Answers

Answer 1
Answer: A because 4.75x5.37= 25.5075 therefore rounded it becomes $25.51

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What is the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long? Round the answer to the nearest tenth. A. 625.3 in.2 B. 940.5 in.2 C. 156.3 in.2 D. 1,875.8 in.2

Answers

The area of a regular hexagon with an apothem of 16.5 inches and a side of 19 inches is Area of hexagon = 1/2(length of apothem)(perimeter of the hexagon) = 940.5 inches. (Option-B)

Apothem:

Apothem is a perpendicular line from the center of the regular polygon to one of its sides.

Area of Regular polygon with apothem:

Area = 1/2 x (length of apothem) x (perimeter of hexagon)

   • Given,  

     apothem = 16.5 inches and length of a side =19 inches

   • Perimeter = 6 x (side of a hexagon)

                       = 6 x (19)

                       = 114 inches

   • Hence,

      Area = 1/2 x (16.5) x (114) = 940.5 inches(rounded to the nearest tenth)

Know more about Regular hexagon :

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Answer: B. 940.5 square inches

==============================================

Explanation:

Any regular hexagon is really the combination of six identical (aka congruent) equilateral triangles glued together. If we can find the area of one triangle, then we multiply by 6 to get our final answer.

The apothem is the height of the equilateral triangle with the triangular base being the side length of the hexagon.

area of triangle = (1/2)*base*height

area of triangle = 0.5*(hexagon side length)*(apothem)

area of triangle = 0.5*19*16.5

area of triangle = 156.75

This is the area of one equilateral triangle. Having 6 triangles leads to a total area of 6*156.75 = 940.5 square inches

Duffy was analyzing the trajectory made after throwing a football. his coach was able to measure that his throw reached a maximum height of 18 feet after 2 seconds. he figured that the ball left his hand at a height of 5 feet. Let the independent variable represent time and the dependant variable represent height of the ball. Use this information to write an equation to model the path of the ball and predict when the ball will hit the ground the ball will hit the ground at approximately ________ seconds

Answers

Answer:

4.35 seconds.

Step-by-step explanation:

Let x represent the time the independent variable and y be dependent variable (height of the ball).

We are told that Duffy figured that the ball left his hand at a height of 5 feet. This means at x equals 0, y was 5 or initial height of ball is 5 feet.

We have been given that Duffy's coach measured that his throw reached a maximum height of 18 feet after 2 seconds. This means that at x equals 2 y was 18.

As point (2,18) represents maximum height of ball, so it will be vertex of parabola.  

Since initial height of ball is less than maximum height, so our parabola will be downward opening and leading coefficient will be negative.

We know that vertex form of a downward opening parabola is in form: y=-a(x-h)^2+k

y=-a(x-2)^2+18

Let us find value of a using point (0,5).

5=-a(0-2)^2+18

5=-a*4+18

5-18=-a*4+18-18

-13=-4a

(-13)/(-4)=(-4a)/(-4)

(13)/(4)=a

Therefore, the equation y=-((13)/(4))(x-2)^2+18 can be used to find the height of ball after x seconds.

To find the time it will take the ball to hit the ground, we will substitute y equals 0 in our equation.

0=-((13)/(4))(x-2)^2+18

0-18=-((13)/(4))(x-2)^2+18-18

0-18=-((13)/(4))(x-2)^2

-18*((4)/(13))=-(x-2)^2

(72)/(13)=(x-2)^2

Taking square root of both sides of our equation we will get,

\sqrt{(72)/(13)}=x-2

x-2\pm 2.35339

x-2=2.35339\text{ (or) } x-2=2.35339

x-2+2=2.35339+2\text{ (or) } x-2+2=-2.35339+2

x=4.35339\text{ (or) } x=-0.35339

x\approx 4.35\text{ (or) } x\approx -0.35

Since time can not be negative, therefore, the ball will hit the ground approximately after 4.35 seconds.  

I need help with this question ASAP!​

Answers

Step-by-step explanation:

To calculate the diameter of a circle, multiply the radius by 2. If you don't have the radius, divide the circumference of the circle by π to get the diameter. If you don't have the radius or the circumference, divide the area of the circle by π and then find that number's square root to get the radius. To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.

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Answer:

Step-by-step explanation:

48? i guess. i hope this helps u out with ur question

B. Henry lives 95 km from work. How many kilometres does he drive to and from work each week? c. Henry uses 9 litres of fuel for each trip. (18 litres per day ) How many litres of fuel does he use each week?

d. if he pays 120 cents per litre, how much does it cost to drive to and from work each week? Remember to divide your answer by 100 to convert the cost to dollars and cents.

Answers

Answer:

(b) 950 km

(c) 90 litres

(d) $108

Step-by-step explanation:

Henry lives 95 km from work.

Number of km from home to work = 95 km

Number of km from work to home = 95 km

One day = 95 + 95 = 190 km

Assuming he works 5 days a week.

1 day = 190 km

5 days = 190 x 5 = 950 km

Assuming he works 5 days a week.

1 day = 18 litres

5 days = 18 x 5 = 90 litres.

Assuming he works 5 days a week.

1 litre = 120 cents

90 litres = 120 x 90 = 10800 cents = $108

Can someone help me please thanks

Answers

-3w+1>=-8
-3w>=-8-1
-3w>=-9
3w<=9
w<=3
With what? I would love to help you

|x+5|=−3 helpppp mmme

Answers

Answer: x = -8 or x = 2

Step-by-step explanation: Follow your rule for solving absolute value equations. Since the absolute value is isolated on one side of the equation, we can split the problem up into two separate equations.

The first equation will be identical to the original except it won't have the absolute value signs which are the vertical bars.

In this case, that equation is x + 5 = -3.

The second equation will look like the first, only the right side will be changed to a positive. So in this case, that equation is x + 5 = 3.

Now simply solve each equation to get x = -8 or x = -2.

You can check both of these answers by plugging them back in for x in the original problem and you will see that they both work.

Answer: this equation is false

which would be x= undefined

Step-by-step explanation:
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