Find the area of this triangle if
C = 138°, a = 16, and b = 7.
A
B•
[? square
units
Round to the nearest tenth.
Enter

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]

[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]

[tex]9x = 7x + 63[/tex]

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

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Answer:

[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

Answer:

parabola is open upwards

The points A, B, C and D are collinear points

The length of the segment AD is 7 units

The given parameters are:

AB = 1

BC = 2

CD = 4

Because the points are on the same line, then the following is the possible equation

AD = AB + BC + CD

Substitute known values

AD = 1 + 2 + 4

Evaluate the sum

AD = 7

Hence, the length of the segment AD is 7 units

Read more about line segments at:

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Answer:

4 and 9

Step-by-step explanation:

Composite numbers are whole numbers that can have more than 2 factors.

Answer:

01 she can teach alphabet using seven days name but not numbers.

[tex]\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i[/tex]

The expression equivalent to f(i) is 2-i.

The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.

Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),

To find the same we will put x = i,

So,

f(i) = i³ - 2i² [i = √-1]

= (√-1)³ - 2(√-1)²

= -i - 2(-1)

= -i+2

= 2-i

Hence, the expression equivalent to f(i) is 2-i.

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#SPJ7

Δ perimeter of swimming area:

Δ area of roped off section:

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

Take some points

As here < sign present line will be dashed and shading should be done below the line

So

Graph attached

Answer:

Given inequality

[tex]\sf 2x + 3y < 6[/tex]

Rearrange to make y the subject

[tex]\sf \implies 2x + 3y < 6[/tex]

Subtract 2x from both sides:

[tex]\sf \implies 3y < -2x + 6[/tex]

Divide both sides by 3:

[tex]\sf \implies y < -\dfrac23x + 2[/tex]

When graphing inequalities

If the inequality sign is < or > then the line of the graph should be dashed.

If the inequality sign is ≤ or ≥ then the line of the graph should be solid.

If y < (less than) then the shading is below the line.

If y > (more than) then the shading is above the line.

Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.

To plot the line, substitute x = 0 and x = 3 into the equation:

[tex]\sf \implies -\dfrac23(0) + 2=2[/tex]

[tex]\sf \implies -\dfrac23(3) + 2=0[/tex]

Therefore, plot points (0, 2) and (3, 0).  Draw a dashed straight line through the points.  Shade below the dashed line.

Answer: the third one

Step-by-step explanation: how i know by guessing

Step-by-step explanation:

Here,let x = 1,2,3 and 4

Then,

Domain =(1,2,3,4)

Again,

f(1)= 3*1 + 5

=3 + 5

=8

f(2)=3*2 + 5

=6 + 5

=11

f(3)=3*3 + 5

=9 + 5

=14

f(4)=3*4 + 5

=12 + 5

=17

Therefore, Range=(8,11,14,17)

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

•— Therefore, the answer is x = 5

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

Answer:

  $2,856.80

Step-by-step explanation:

The formula for the balance of an account earning interest compounded annually is ...

  A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years

__

Using the given values, we find the account balance to be ...

  A = $8400(1 +0.05)^6 ≈ $11,256.80

The excess over the initial investment is the interest earned:

  $11,256.80 -8,400 = $2,856.80

The account has accrued $2,856.80 in interest after 6 years.

_____

Additional comment

If the account earns simple interest, it is computed using ...

  I = Prt = $8400(0.05)(6) = $2,520

Answer:

X=6

Step-by-step explanation:

B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2

C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2

F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2

= - sec(x - pie/2) + 2 = - csc(x) + 2

The maximum error of estimate with a sample of 300 cell phones is 29.73%

The formula for calculating the maximum error of the estimate is expressed as:

ME = √0.25/n

n is the total sample

Given the following parameters

n = 300

Substitute into the formula to have:

ME = √0.25/n

ME = √0.25/300
ME = 0.2973
ME = 29.73%

Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%

Learn more on maximum error here: https://brainly.com/question/13370015

The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine

the maximum error of estimate

Answer:

29.73%

Answer:

1.5 hr

Step-by-step explanation:

d = rt

re-arrange to

d/r = t

60 miles  / 40 miles/hr = 1.5 hr  

Answer:

7 sq units

Step-by-step explanation:

Area of right angled triangle

= 1/2 * ZJ * JW

= 1/2 * 14 * 1

= 7 sq units

Answer:

968 is what they need and no they do not enough material

Step-by-step explanation:

What I always do on these questions is length times width and they need 536 more material

Answer:

The answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

[tex]\rm Answer:[/tex]

20.125%

[tex]\rm \# KiroToshiroComeback[/tex]

Answer:

11 and 9

Step-by-step explanation:

With a width of 11 and a length of 9 the area of the rectangle would be

11 * 9 = 99

By adding 11 and 9, then mulitplying it by 2 we get the perimeter

11 + 9 = 20

20 * 2 = 40

Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

first we write 1 4/5 as an improper fraction:

[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]

Now we multiply :

[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]

Answer:

[tex]\sf \dfrac{1}{10}[/tex]

Step-by-step explanation:

From the table:

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Sophomore)=\dfrac{10}{37}[/tex]

[tex]\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}[/tex]

[tex]\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}[/tex]

Answer:

1/10

Explanation:

Given Boy Sophomores: 1

Given Total Boy: 3 + 1 + 4 + 2 = 10

So

⇒  P(Boy|Sophomore)  

⇒  Boy Sophomore/Total Boy

⇒  1/10

Answer:

62.83185

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Circumference of circle is :

[tex]\qquad \tt  \dashrightarrow \:\pi d[/tex]

where,

[tex]\qquad \sf  \dashrightarrow \:c = 20 \pi \: \: cm[/tex]

Now, let's plug approximate value of pi

[tex]\qquad \sf  \dashrightarrow \:c = 20 \times 3.14\: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 62.8 \: \: cm[/tex]