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3 years ago

Find the circumference and the area of a circle with the diameter of 8 m.

Mathematics

2 answers:

maksim [4K]3 years ago

4 0

Answer:

circumference = 8 x 3.14 = 25.12 m

area = 3.14(4²) = 50.24 m²

Step-by-step explanation:

irga5000 [103]3 years ago

3 0

Answer:

C= about 25.13

A= about 50.27

Step-by-step explanation:

The formula for circumference is 2* <em>pi* </em>r

The formula for area is <em>pi </em>*r^2

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

3 years ago

Which expression represents”9 less than the product of 5 and a number n”?

Alika [10]

9 less means subtract

the product of 5 and the number n mea multiply 5 and n

D. 5n-9

6 0

3 years ago

Read 2 more answers

Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab

Katarina [22]

Answer:

$13564

Step-by-step explanation:

$\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\% of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|$ $\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\% of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\% of the amount over 77,100\end{array}\right|$

$\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\% of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\% of the amount over 349,700\end{array}\right|$

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

5 0

3 years ago

Read 2 more answers

What is 7/10 divided by 2

vodka [1.7K]

Answer:

7/20

Step-by-step explanation:

7/10 ÷ 2/1 is the same as 7/10 * 1/2 which is 7/20

3 0

3 years ago

A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represen

photoshop1234 [79]

Answer:

a. r=d/t b. 800000/4=200,000 c.800/2=200 d.not sure km are used more often as theyre simpler to use but there is not much that i am basing this off of

Step-by-step explanation:

5 0

3 years ago