What is the length of the missing leg? If necessary, round to the nearest tenth

To answer this, we substitute 12 ft to the f(h) in the given equation,   
f(h) = -8t² + 8t + 12 = 12

Subtracting 12 from both sides of the equation will give us an answer of,

-8t² + 8t = 0

Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second. 

Answer:

Below in bold.

Step-by-step explanation:

When he lands h = 0  so

-8t^2 + 8t + 12 = 0

Solving for t

t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16

t = 1.82 seconds.

Answer:

2x - 6y

Step-by-step explanation:

Combine like terms

(x) - 7y + (x) + y

2x - 7y + y

Combine like terms again

2x - (7y) + (y)

2x - 6y

Hope this helps!

Answer:

27%

Step-by-step explanation:

There are 11 balls in total. If 8 are red, (11-8) are blue =3

3/11 is the fraction of blue balls. Convert to percent =27%

e.g for 15:

a = 3, b is missing, c = 10

A is missing, B is ?, C is 90

Answer:

1+2-3+4-5+6-7+8-9=3-3+4-5+6-7+8-9=-1+6-7+8-9=5-7+8-9=6-9=-3

Step-by-step explanation:

Answer: 45

Step-by-step explanation: Add all the digits

you can just split the figure in 2 separate figures and them add the areas:

area rec. 1:

3m×3m= 9m²

area rec. 2:

3m× (2m+3m)

= 3m×5m

=15m²

total area:

9m²+15m²= 24m²

Answer:

Area = 24

Step-by-step explanation:

Work and explanation ~

Answer:

Step-by-step explanation:

Answer:

B. 73.7%

Step-by-step explanation:

Usa Tesprep explained

The rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units

The formula for calculating the suface area of rectangular prism is expressed as:

A =2()

lw + wh + lh

where:

Given the following parameters

l = x units

w = 2x units

h = x -  8 units

Substitute

S = 2(2x^2 + x^2 - 8x + 2x^2 - 16x)

S = 2(5x^2-24x)

S= 10x^2 - 48x square units

Hence the rectangular prism with dimensions x units, 2x units, and x- 8 units has a surface area of 10x^2 - 48x square units

Learn more on surface area here:https://brainly.com/question/76387

Answer:

C

Step-by-step explanation:

10x^2+48x

Answer:

x = 35

Step-by-step explanation:

hope this helps

Answer:  x = 35

Step-by-step explanation:

-5 = 0.1x - 8.5

Step 1: Rewrite the equation:

0.1x - 8.5 = -5

Step 2: Add 8.5 on both sides.

          0.1x = 3.5

Step 3: Divide 0.1 on both sides.

               x = 35

Answer:

Populaiton

Step-by-step explanation:

Surveying the population will give a more accurate data set as the sample size could be biased based on the characteristics of specific players.

Answer:

4. two real solutions

Step-by-step explanation:

[tex]x^2 - x = 1[/tex] (Given)

[tex]\implies x^2-x-1=0[/tex]

[tex]b^2-4ac\\=(-1)^2-4(1)(-1)\\=1+1=2>0\\\implies b^2-4ac >0[/tex]

-> Given quadratic equation has two real solutions.

Answer:

It's {2} since it's the common between A and B

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish. So, Doug caught a fish that was 3/5 meters long.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways

Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as Kim's fish.

Kim caught a fish of length = 9/10 m

Doug caught a fish of length = 2/3 as long as Kim's fish.

                                                 = 2/3 x 9/10

                                                 = 18 / 30

                                                 = 3/5

Thus, Doug caught a fish that was 3/5 meters long.

Learn more about multiplications;

https://brainly.com/question/14059007

Answer: y= -1/20x + 38/5

or

y= -1/20x + 7.6

Step-by-step explanation:

y-y1 = m(x-x1)

m = 8-7 / -8 - 12 = 1/-20 = -1/20

y-8 = -1/20(x+8)

y=-1/20x - 8/20 + 160/20

y= -1/20x + 38/5

or

y= -1/20x + 7.6

Answer:

(4,-1) is a solution

Step-by-step explanation:

x + 2y = 2

x - 2y = 6

We want to see if (4,-1) is a solution to the system.

To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution

x + 2y = 2

==> plug in x = 4 and y = -1

4 + 2(-1) = 2

==> multiply 2 and -1

4 - 2 = 2

==> subtract 2 from 4

2 = 2

x - 2y = 6

==> plug in x = 4 and y = -1

4 - 2(-1) = 6  

==> multiply -2 and -1

4 + 2 = 6

==> add 4 and 2

6 = 6

Both equations are true therefore (4,-1) is indeed a solution to the system

Answer:

B

Step-by-step explanation:

hope it helps <3333

You look beautiful

Answer:

B

Step-by-step explanation:

2q+437= 931

subtract 437

2q= 494

divide by 2

q= 247

Answer:

A = 160 in²

Step-by-step explanation:

Split this up into 3 rectangles and find the area of each (A = bh). Then add up all the areas to get the total area of the figure.

Rectangle A

A = 10 x 7

A = 70 in²

Rectangle B

A = 11 x 6

A = 66 in²
Rectangle C

A = 4 x 6

A = 24 in²

Total Area

A = 70 + 66 + 24

A = 160 in²

Hope this helps and God bless!

Answer:

160

Step-by-step explanation:

Do (6x4)+(6x18)+(7x4)

You don't need to put the parentheses but it makes it look better and make it easier to understand.

Answer:

[tex]\huge\boxed{\bf\:Equation: a_{72} = 4 + (72 - 1)3}[/tex]

[tex]\huge\boxed{\bf\:a_{72} = 217}[/tex]

Step-by-step explanation:

Let the series be: 4, 7, 10, 13,.....

Given,

We know that,

[tex]\bf\:a_{n} = a + (n - 1)d[/tex]

Equation for the [tex]72^{nd}[/tex] term of the series,

[tex]\boxed{\bf\:a_{72} = 4 + (72 - 1)3}[/tex]

By using this formula & substituting the values,

[tex]a_{72} = 4 + (72 - 1)3\\a_{72} = 4 + (71)3\\a_{72} = 4 + 213\\\boxed{\bf\:a_{72} = 217}[/tex]

•°• The [tex]72^{nd}[/tex] term of the series is 217.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

136

Step-by-step explanation:

5*7 = 35

5*7 = 35

4*6/2 = 12

4*6/2 = 12

7*6 = 42

Add them all up

Answer:

Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]

Step-by-step explanation:

[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]

Simplify the expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]

Transform the Expression

[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]

Calculate

[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]

Using the binomial distribution, it is found that Cameron's statement is correct based on the expected value.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np.

In this problem, we have that:

Thus, the expected value is given by:

E(X) = np = 100 x 0.12 = 12.

Hence, Cameron's statement is correct.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

A

Step-by-step explanation:

divide all sides by four and you get first answer.

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Alright so:

-172 = -11x + 4

-4 - 4 (-4 on both sides)

so,

-176 = - 11x

divide by -11

so,

-11x ÷ - 11 = x

-176÷-11= 16

x=16

Answer:

∠ BED = 57°

Step-by-step explanation:

angles on the circumference subtended by the same arc are congruent,

∠ BCD and ∠ BED are both subtended by arc BD , then

∠ BED = ∠ BCD = 57°

Answer:

The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!

Step-by-step explanation:

Answer:

In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations.

Step-by-step explanation:

the matrix is used in solving systems of linear equations

Answer:

4/10 = 2/5 = 40%

Step-by-step explanation:

Q,R,S,T = 4

Q R S T U V W X Y Z =10