Which expression is equivalent to (2213 61/3,1/2;

Answer:

∠BAC = 75°

Step-by-step explanation:

just subtract angle BAD from angle CAD

Given:

The geometric sequence is:

25.5, 5.1, 1.02, 0.204, ...

To find:

The explicit rule for the given geometric sequence.

Solution:

We have,

25.5, 5.1, 1.02, 0.204, ...

Here, the first term is 25.5 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{5.1}{25.5}[/tex]

[tex]r=\dfrac{1}{5}[/tex]

The explicit rule for a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting [tex]a=25.5,\ r=\dfrac{1}{5}[/tex] in the above formula, we get

[tex]a_n=25.5(\dfrac{1}{5})^{n-1}[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

take theta as reference angle

tan theta=opposite/adjacent

=15/8

Answer:

option B

Step-by-step explanation:

First find opposite side using Pythagoras theorem:

[tex]17^2 = 8^2 + opposite^2 \\\\opposite^2 = 289 - 64 = 225\\\\opposite = 15[/tex]

Therefore,

          [tex]tan \theta = \frac{opposite}{adjacent} = \frac{15}{8}[/tex]

Answer:

1/4 bczz its not saying about the highest its about average and the average is 1/4

Answer:

[tex]\frac{dr}{dt}=0.11062ft/sec[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=5ft[/tex]

Height [tex]H=15ft[/tex]

Rate [tex]R=15ft/3sec =5ft/s[/tex]

Surface Radius [tex]R_{surf}=2.2ft[/tex]

Generally the equation for Volume is mathematically given by

 [tex]V=\frac{1}{3}\pi*r^2h[/tex]

Since radius to height ratio gives

 [tex]\frac{r}{h}=\frac{5}{15}[/tex]

 [tex]\frac{r}{h}=\frac{1}{3}[/tex]

 [tex]h=3r[/tex]

Therefore

 [tex]V=\frac{1}{3}\pi*r^2(3r)[/tex]

 [tex]V=\pi r^3[/tex]

Generally the equation for Change of Volume is mathematically given by

 [tex]\frac{dv}{dt}=\pi \frac{d}{dt}(r^3)[/tex]

 [tex]\frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}[/tex]

 [tex]\frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}[/tex]

 [tex]\frac{dr}{dt}=\frac{5}{45.62}[/tex]

 [tex]\frac{dr}{dt}=0.11062ft/sec[/tex]

Answer:

(0,-2)

Step-by-step explanation:

Answer:

.08

Step-by-step explanation:

Answer:

Hi, there your answer is 0.08

Step-by-step explanation:

Answer:

2500

Step-by-step explanation:

Answer:

Step-by-step explanation:

$39

The net worth should be considered as the $39.

We know that

Net worth = Total assets - total liabilities

here,

total assets = checking & savings + baseball card + check for work done

= $275 + $210 + $19

= $504

And, the total liabilities = owe + borrowed

= $415 + $50

= $465

So, the net worth be

= $504 - $465

= $39

Learn more about assets here: https://brainly.com/question/4029603

Given :

A function f(x) for different range of x.

To Find :

The value of f( -3 ) .

Solution :

We have to find the value of function at x = -3.

Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

[tex]f(x) = \dfrac{2}{x}[/tex]

So, putting value of x = -3 in above equation, we get :

[tex]f(-3) = \dfrac{2}{-3} \\\\f(-3) = \dfrac{-2}{3}[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

D.all citizens; registered voters

No, There is no any sentences are incorrect.

Hence, All sentences are correct.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Consider the following statements about the effect of different values of a on the function,

⇒ y = a bˣ

Now, We know that;

For the value of a such that |a| > 1

The graph of y = bˣ is vertically stretch.

And, For the values of a such that 0 < |a| < 1;

The graph of y = bˣ is vertically compress.

And, When we take negative value of a.

Then, Function reflect y = bˣ across the y-axis.

Thus, There is no any sentences are incorrect.

Hence, All sentences are correct.

Learn more about the function visit:

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#SPJ3

Answer:

Solution given:

Area of parking space [parallelogram]=290ft²

base*height=290

base=290/29

base:10ft

Area of rectangular dimensions=11*7.4=81.4ft²

yes

The truck can not fit in the space because the length and breadth is less than that of the parallelogram parking area.

Area of truck bid 81.4ft².

Answer:

A percentage is out of 100.

85/100

in lowest terms this is

17/20

Hope this helps :)

Step-by-step explanation:

The answer goes here,

a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.

b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).

c) No such formula will be used here, we will just use our mental ability to solve this question.

d) She will leave at 7:00 pm, day has 24 hours. So, she will be in the flight on monday:

= 24 - (12 + 7) ----------- [12 here means the time of rest of the day,(morning to noon)]

= 24 - 19

= 5 hours

So, she will complete 5 hours of her destination on monday,now the time left is:

= 18 - 5

= 13

= (12 + 1 )hours

So, on tuesday, she will be in the flight for 12 hours (noon) and then on 1:00 pm she will reach the airport, as she needs and extra hour to plane so, the final time is 1:30 pm. And finally, the time she should tell her sister is 1.30 pm.

tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

take 28 degree as reference angle

using sine angle

sin28=p/h

0.46=10/h

0.46h=10

h=10/0.46

h=21.73

therefore hypotenuse =21.73

again using sine rule

take 25 degree as reference angle

sin 25=p/h

0.42=SR/21.73

0.42*21.73=SR

9.12=SR

9.1=SR

Step-by-step explanation:

Answer:

y = mx + b

m =(-2--4)/(-6--7)

m = 2

-2 = 2(-6) +b

b = 10

y= 2x + 10

Answer:

735 mm³

Step-by-step explanation:

49 x 15 = 735

Answer:

735mm

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Answer:

The slope is 3

Step-by-step explanation:

12x−4y=3

Solve for y

Subtract 12x from each side

-12x +12x−4y=-12x+3

-4y = 12x+3

Divide each side by -4

-4y/-4 = -12x / -4 +3/-4

y = 3x -3/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

Answer:

BD ≈ 2.8 units

Step-by-step explanation:

By angle bisector theorem,

"If a segment bisects an angle of a triangle, then it divides the opposite side  into the segments which are proportional to the other two sides"

Here, AD is the bisector of the ∠BAC,

[tex]\frac{BD}{CD}=\frac{AB}{AC}[/tex]

[tex]\frac{8.1}{5.9}= \frac{BD}{2}[/tex]

BD = [tex]\frac{2\times 8.1}{5.9}[/tex]

BD = 2.75

BD ≈ 2.8 units

Answer: 9 adults 7 children

Step-by-step explanation:

Answer:

(95.215 ; 100.785)

(95 ; 101) (nearest whole number)

Step-by-step explanation:

To obtain the confidence interval :

Mean ± margin of error

Mean = 98 hours

Margin of Error = Tcritical * (s/√n)

samole standard deviation, s = 5.6 hours

df = n - 1 = 18 - 1 = 17

Tcritical at (0.05, df = 17) = 2.110

Hence ;

Margin of Error = 2.110 * (5.6/√18) = 2.785

Confidence interval :

98 ± 2.785

Lower boundary = 98 - 2.785 = 95.215

Upper boundary = 98 + 2.785 = 100.785

(95.215 ; 100.785)

Answer:

Yes they are all right

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A 70°

Step-by-step explanation:

Angle of the triangle

=180-60-60

=60°

x= 180-60-50

=120-50

=70°

The sequence is geometric with first term  

a

1

=

100

and common ratio  

r

=

0.5

Explanation:

a

1

=

100

,

a

2

=

50

,

a

3

=

25

,

a

4

=

25

2

,

a

5

=

25

4

...

50

100

=

0.5

,

25

50

=

0.5

,

25

2

25

=

0.5

,

25

4

25

2

=

0.5

∴

a

2

a

1

=

a

3

a

2

=

a

4

a

3

=

a

5

a

4

=

0.5

The ratio of successive term and preceeding term is constant

(

r

=

0.5

)

. Therefore the sequence is geometric whose first

term is  

a

1

=

100

and common ratio is  

r

=

0.5

[Ans]

Answer:

3 ft, 3ft, 5ft => 45 cubic feet

6 ft, 2 ft, 4 ft => 48 cubic feet

7 ft, 2 ft, 2 ft => 28 cubic feet

6 ft, 5 ft, 2 ft => 60 cubic feet

Step-by-step explanation:

Recall: formula for volume of a rectangular prism is given as, V = L × W × H

✔️Volume of rectangular prism with the following dimensions:

L = 3 ft

W = 3 ft

H = 5 ft

V = 3 × 3 × 5

V = 45 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 2 ft

H = 4 ft

V = 6 × 2 × 4

V = 48 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 7 ft

W = 2 ft

H = 2 ft

V = 7 × 2 × 2

V = 28 cubic feet

✔️Volume of rectangular prism with the following dimensions:

L = 6 ft

W = 5 ft

H = 2 ft

V = 6 × 5 × 2

V = 60 cubic feet

Answer:

1360 inches.

Step-by-step explanation:

Equation: 40 × (40-6) Since 40 inches is the width :)

40-6= 34

34*40=1360

Taun's canvas is 1360 inches :)