What is the lenght of the side opposite the 30 degree angle?

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

3 5/12 = 41/12

41/12 * 2 = 82/12 = 6 5/6

Answer: 6 5/12

Step-by-step explanation: i just took the k12 test and this is the corret answer

Answer:

7.4secs

Step-by-step explanation:

If the path of a swim team member is modeled by the equation

h(t) = -0.875t²+5.25t+14

where t is time in seconds and h is the height above the surface of the water

If she need to finish in no later than 5feet above the surface, the expression will become:

-0.875t²+5.25t+14≤5

-0.875t²+5.25t+14-5≤0

-0.875t²+5.25t+9≤0

Rewriting using fraction

-7/8t²+21/9t+9≤0

To get the time that this happens we will need to factorize the resulting expression above;

On factorising

Find the roots of the equation using the formulas

t = 3+3√105/7

t = 3+ 3(10.25)/7

t = 3 + (30.75)/7

t = 3 + 4.393

t = 7.393

t = 7.4secs

Hence this happens at t = 7.4secs

Answer:

The time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Step-by-step explanation:

You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:

5= -0.875*t²+5.25*t+14

A quadratic equation has the general form:

a*x² + b*x +c= 0

where a, b and c are known values ​​and a cannot be 0.

Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:

 -0.875*t²+5.25*t+14-5=0

  -0.875*t²+5.25*t+9=0

The roots of a quadratic equation are the values ​​of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case, solving the equation is calculating the values ​​of t, that is, you find the time when the swim team member is 5 feet above the water surface.

Being a= -0.875, b=5.25 and c= 9, then

[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]

[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]

[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]

[tex]\frac{-5.25+-7.685}{-1.75}[/tex]

Then:

[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]

Solving for t1:

[tex]t1=\frac{2.435}{-1.75}[/tex]

t1= -1.39 ≅ -1.4

Solving for t2:

[tex]t2=\frac{-12.935}{-1.75}[/tex]

t2= 7.39 ≅ 7.4

Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Answer:

c

Step-by-step explanation:

it's 12x2 divided by 3

Answer:

c multiply by 2 divide by 3

Step-by-step explanation:

think of 12 as 12/1

multiply the numbers

it will be 24/3

divide

you get 8

Answer:

The value of B is 11 times the value of a.

Step-by-step explanation:

a =|   2    |   4   |    7    |   10    |

b =|  22  |   44  |    77  |   110   |

22          44       77          110

÷2          ÷4        ÷7         ÷10

---------   --------   -------     ---------

11            11           11           11

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

from the table we can see that

the value of b is 11 times the value of a

Answer:

c

Step-by-step explanation:

The flip should tur after 2.4 scon

Given the following functions expressed as:
[tex]Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1[/tex]

Equating both expression will give

-(x-5)² + 3 = -3(x-6)² + x + 1

-(x-5)²  +3(x-6)² + 3 - x - 1 = 0
-(x-5)²  +3(x-6)² + 2 - x = 0

-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0

x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0

4x² + 45x + 85 = 0

Factorize for the value of x

On factorizing, the value of x is 2.405

Hence the flip should tur after 2.4 sconds

Larn more on functions here: https://brainly.com/question/10439235

Answer:

False.

Step-by-step explanation:

Think of the number 12 which is 2 * 2 * 3.

Now square 12 to 144.

144 is a perfect square since it is the square of 12.

144 = 2 * 2 * 2 * 2 * 3 * 3

What are the factors of 144?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

That is a lot more than 3 factors.

Answer:

19,200

Step-by-step explanation:

round 56 to 60 and round 324 to 320 then multiply the two numbers

Answer:

4

Step-by-step explanation:

absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.

Answer:

My guess 4

Step-by-step explanation:

i used to do this stuff but i thinks its 4

Using exponential function concepts, it is found that it represents a decay of 19.4%.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, the function is:

[tex]A(x) = 5800(0.806)^x[/tex]

Since the rate of change is less than 1, it is a decay.

Then:

1 - r = 0.806.

r = 1 - 0.806 = 0.194.

The function represents a decay of 19.4%.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

x g(x)

-2 1/36

-1 1/6

0 1

1 6

2 36

~

Answer:

angle

Step-by-step explanation:

A N G L E

A N S W E R

The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

The arc of the circle is defined as the product of the angle and the radius of the circle.

[tex]Arc=\theta \times r[/tex]

Now it is given in the question that

circle P, i.e. center is point P.

QS is a diameter with a length of 20 cm so radius =10 cm

Given that RP is the radius with

To find the length of arc QR =?

Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].

[tex]\angle QPR+\angle RPS=180[/tex]

[tex]\angle QPR+123=180[/tex]

[tex]\angle QPR=57^o[/tex]

[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]

Now the formula for finding the arc will be given by

[tex]Arc \ (QR)=\angle QPR\times r[/tex]

[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]

Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

To know more about Arc of circle follow

https://brainly.com/question/25305793

Answer:

A

Step-by-step explanation:

Answer:

its the one at about (8, 8000)

Step-by-step explanation:

If you look at all of the points, you can see the price constantly goes done as the car gets older. The only point away from the constant pattern is the one that is 8 years old, costing about 8000.

Answer:

963.73 m²

Step-by-step explanation:

To Find :-

Area of the figure

Solving :-

Area (figure) =  Area (triangle) + Area (semicircle)

= 1/2bh + 1/2πr²

= 1/2 (30 x 34 + 3.14 x 17 x 17)

= 1/2 (1020 + 289 x 3.14)

= 1/2 (1020 + 907.46)

= 1/2 (1927.46)

= 963.73 m²

Answer:

1100 milliliters.

Step-by-step explanation:

First, separate the numbers 275, it will be 200, 70, and 5.

Second, multiply 4x200, it equals 800

Third, multiply 4x70, it equals 280

Fourth, multiply 4x5, it equals 20.

Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.

Answer:

ECF and BCF (option 3)

Step-by-step explanation:

Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.

Hopefully this helps - let me know if you have any questions!

Answer: A & C

Step-by-step explanation: 3 + 4 = 7     5 -3 = 2

Answer:

25%

Step-by-step explanation:

find the differences between original price $4000 and the altered price $5000.

$5000 - $4000 = $1000

to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).

1000/4000 x 100

= 25%

so you will get 25 %

Step-by-step explanation:

I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.

x = the average number of miles to ride each of the 3 days

x = (34.1 - 14)/3

the solution is

x = 20.1/3 = 6.7 miles

Answer:

48 :)

Step-by-step explanation:

Answer:

11 I'm pretty sure

Step-by-step explanation:

Function 1 and the slope is -4/7

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

Explanation:

The slope of y = mx+b is m, which is the number to the left of x.

For function 1

y = (-4/7)x - 4

the slope here is m = -4/7 = -0.57 approximately

Let's use the slope formula to find the slope of function 2 given by the table of values.

Pick any two rows from that table. I'll pick the first two rows.

m = (y2-y1)/(x2 - x1)

m = (0.8 - 2)/(2 - 0)

m = -0.60

Comparing -0.57 and -0.60, we see that -0.57 is closer to zero on the number line. Meaning that function 1 has the less steep slope (i.e. more shallow slope). The further you go away from zero on the number line, in either direction, the slope will get steeper.

Answer:

Step-by-step explanation:

- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)

6x - 8y = 12 ........ (2)

(1) ------> (2)

( 7y + 6 ) - 8y = 12

- y + 6 = 12

y = - 6 ------> (1)

- 6x + 7( - 6 ) = - 6

6x = - 42 + 6

x = - 6

( - 6 , - 6 )

Answer:A= 21 cm2

                = 3.25 in2

                = 3 in2

Step-by-step explanation:

2.8 in = 7.112 cm

          = 7 cm

A        =  [tex]\pi[/tex][tex]r^{2}[/tex] * [tex]\frac{49}{360}[/tex]

          = 22/7*7*7*49/360

          = 20.96

          = 21 cm2

Answer:

14

Step-by-step explanation:

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 13.62 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 13.62 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 13.62 rounded to the nearest whole number as:

14

Answer:

6(9+3)

Explanation:

Add 9 and 3 which is 9 + 3

THEN multiply by 6 which is 6(9 + 3)

I put parentheses because it's sayings to add first and then multiply!