MATHEMATICS MIDDLE SCHOOL

A golfer hits a ball from a starting elevation of 5 feet with a velocity of 70 feet per seconddown to a green with an elevation of -4 feet. The number of seconds t it takes the ball to
hit the green can be represented by the equation - 16t2 + 706 + 5 = -4. How long does it
take the ball to land on the green?
It takes the ball |
seconds to land on the green.

Answers

Answer 1

Answer:

Answer:

Time, t = 4.5 s

Step-by-step explanation:

The number of seconds t it takes the ball to hit the green can be represented by the equation :

$-16t^2 + 70t + 5 = -4$

It means that the initial velocity is 70 ft/s. The above equation becomes:

$-16t^2 + 70t + 9=0$

It is required to find the time taken by the ball to land on the ground. It is a quadratic equation. The solution of quadratic equation is given by :

$t=(-b\pm √(b^2-4ac) )/(2a)\n\nt=(-b+ √(b^2-4ac) )/(2a),(-b- √(b^2-4ac) )/(2a)\n\nt=(-70+ √((70)^2-4* (-16)(9)) )/(2(-16)), \frac{-70-\sqrt{(70)^(2)-4*(-16)(9)}}{2(-16)}$

t = −0.125 and t = 4.5 s

Time cannot be negative. So, the time taken by the ball to land on the ground is 4.5 seconds.

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Anthony found a number that is 20% of 30% of 400 what percent of 45 is the number that Anthony found

Answers

For this case we have:

1st step:

We look for 30% of 400 by a rule of three of the form:

400 -------> 100%

x -----------> 30%

Where x is given by the number that represents 30% of 400.

We have:

$x =((30 * 400))/(100)\nx = 120$

2nd step:

We search for 20% of the number found, that is, $x = 120$ , using a rule of three:

120 -------> 100%

y -----------> 20%

Where y is given by the number that represents 20% of 120.

We have:

$y =((20 * 120))/(100)\ny = 24$

So, the number that Anthony found is 24.

3rd step:

According to the statement, we must find the% that represents the number of Anthony, based on the number 45. Through a rule of three we have:

45 -------> 100%

24 -----------> z%

Where z is given by the% that represents Anthony's number, knowing that 45 represents 100%.

We have:

$z =((24 * 100))/(45)\nz = 53.33$ %

Answer:

The number of Anthony represents 53.33% of 45.

you are charged 6% sales tax. You purchase new bicycle and pay $27 in sales tax. what is the purchase price of the bicycle

Answers

The cost of the bicycle is $450.

Percentage

A percentage is a way to describe a part of a whole. such as the $\rm{(1)/(4)$ of a pizza can be described as 25% of that pizza.

Given to us,

Sales tax = 6%

Tax given on bicycle = $27

Let the price of the bicycle be x. therefore,

6% of x = $27

$(6)/(100) * x = 27\n\nx = (27* 100)/(6)\n\nx= (2700)/(6) = 450$

Hence, the cost of the bicycle is $450.

Learn more about Tax and Percentage:

brainly.com/question/6577169

6% is equal to 6/100 or 0.06

So, you have to pay the 27$ plus the taxes which is 6% of the 27$

0.06 x 27 = 1.62$

27+1.62 = 28.62$

Please help! 50 points and i'll give brainliest!

Answers

Answer:

$36√(3) -12\pi$

Step-by-step explanation:

The area of the shaded portion, we have to calculate.

Now, join C and O to form two right triangles Δ AOC and Δ BOC.

Now, from Δ AOC,

$\tan 60 = (AC)/(AO) = (x)/(6)$

⇒ x = 6√3

So, area of Δ AOC = $(1)/(2) * 6 * 6√(3) = 18√(3)$

Due to symmetry area of Δ BOC will also be 18√3.

Now, area of quadrilateral OACB is 2 × 18√3 = 36√3

Now, area covered by the arc AB about center O will be $(120)/(360) * \pi r^(2) = 12\pi$

Therefore, the area of the shaded portion is $36√(3) -12\pi$ (Answer)

Answer:

36\sqrt{3} -12\pi

Define the type of sequence below.
-2, 0, 2, 4, 6,

Answers

Answer:

Arithmetic sequence.

Step-by-step explanation:

We have been given a sequence : -2, 0, 2, 4, 6. We are asked to define the type of our given sequence.

We can see from our given sequence that each next term is 2 more than the previous term of the sequence.

$0--2=0+2=2$

$2-0=2$

$6-4=2$

Since the difference between the consecutive terms is constant and each next term is produced by adding 2 to preceding term, therefore, our given sequence is an arithmetic sequence.

This is an arethmetic sequence

For each new value in the sequence, 2 is being added to the previous term.

-E :)

Subtract use model if needed

(9x+5) - (4x+3)=

Answers

5x+2 is as simple as I can get.

9x-4x+5-3= 5x+2 hope that helps

26 points of the second floor of 5236 is how many more ?

Answers

the answer is (5210) more

5210 is the answer...did i get it right?

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