B
a
A
b
Find the missing side c if Angle B -45 and side a=13
Round your answer to the nearest hundredth if necessary.

Answer:

a) 2. 4pi (in) , 4pi  

  3. 8pi , 16pi

  4. 16pi, 64pi

  5. 32 pi  ,  256pi

Step-by-step explanation:

b) when radius increase , the areas and circumferences increase to

circumference = 2 pi * radius ; so if you double the radius , circumference will be double

area = pi * radius * radius ; if you double the radius , area will be 2^2 or 4 times

c) circumference will be triple and

area will be 3^2 or 9 times

Proportions are corresponding assuming they address a similar relationship. One method for checking whether two proportions are corresponding is to keep in touch with them as divisions and afterward decrease them. Assuming the decreased divisions are something similar, your proportions are relative.

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Answer:

60 divided by 2 = 30

We half it because Angle E halfs Angle D

Step-by-step explanation:

As with all quadrilaterals, the sum of the interior angles of a rhombus is 360 degrees; as with a parallelogram, the angles of opposite pairs of vertices are equal, and the sum of the angles of two adjacent vertices is 180 degrees.

Answer:

26%×N=78

Reduce the fraction 26/100 to lowest terms by extracting and cancelling out 2.

13

– N=78

50

multiply both sides by 15/30 the reciprocal of 13/50

N=78× (50/13)

Express 78×(50/13) as a single fraction

N=78×50

———

13

multiply 78 and 50 to get 3900.

N=3900

———

13

Divide 3900 by 13 to get 300.

N=300

So the answer is N=300

Step-by-step explanation:

#Carry on learning

Step-by-step explanation:

let x represent the monthly budget.

13 % of x = $ 2600

(13/100) * x = $2600

13/100 = $2600/x

thus, the answer is D.

hope this helps you!

-s.

Answer:

the area of the triangle is 36

Answer:

A≈3.14m²

Step-by-step explanation:

Answer:

Area of Circle =

\begin{gathered}\pi {r}^{2} \\ = \pi( {1}^{2} ) \\ = 1\pi \\ = \pi {m}^{2} \end{gathered}

πr

2

=π(1

2

)

=1π

=πm

2

Speed is the rate of change of distance over time

It takes Rohit 2 hours to cover the same distance

Represent Rajeev with A, and Rohit with B

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

Rohit covers 1/6 of the distance between point AB

So, we have:

[tex]S_B = \frac{AB/6}{T_B}[/tex]

Make T the subject

[tex]T_B = \frac{AB/6}{S_B}[/tex]

[tex]T_B = \frac{AB}{6S_B}[/tex]

Rajeev's speed is twice that of Rohit.

So, we have:

[tex]S_A = 2 * S_B[/tex]

[tex]S_A = \frac{AB}{T_A}[/tex]

So, the time taken by Rajiv to cover 1/6 of the distance is:

[tex]T_A = \frac{AB}{12S_B}[/tex]

The difference between the time is given as 1.

So, we have:

[tex]\frac{AB}{6S_B} - \frac{AB}{12S_B} = 1[/tex]

Multiply through by 12SB

[tex]2AB - AB = 12S_B[/tex]

[tex]AB = 12S_B[/tex]

Recall that:

[tex]T_B = \frac{AB}{6S_B}[/tex]

So, we have:

[tex]T_B =\frac{12S_B}{6S_B}[/tex]

[tex]T_B = 2[/tex]

Hence, it takes Rohit 2 hours to cover the same distance

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It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let x represent the rate of cost of one loaf and y represent the total cost, hence:

y = 0.8x + 100

The rate of cost of one loaf is $0.8 and the start up cost is $100.

For the second bread it is given by:

y = 1.6x

For both cost to be the same:

1.6x = 0.8x + 100

x = 125

a = 1.6(4) = $6.4

b = 1.6(8) = $12.8

c = 1.6(12) = $19.2

It would take 125 loaves at a cost of $200 for the breadmaker and store bought bread to cost the same.

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Answer:

[tex]y=\displaystyle\frac{2}{3}x[/tex]

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when x=0)

First, we can determine the slope using the following formula:

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in any two points from the graph that falls on the line (you can see below that I've used (3,2) and (0,0):

[tex]m=\displaystyle\frac{2-0}{3-0}\\\\m=\displaystyle\frac{2}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=\displaystyle\frac{2}{3}x+b[/tex]

We know that the point (0,0) falls on the line. Because y=0 when x=0, we know that the y-intercept (b) is 0:

[tex]y=\displaystyle\frac{2}{3}x+0\\\\y=\displaystyle\frac{2}{3}x[/tex]

I hope this helps!

Answer:

one answer ( y=0 )

Step-by-step explanation:

solve for y

-3y + 21 = 3y + 15 + 6

-3y +21 = 3y +21

(-6y = 0)/-6

y=0

Answer:

A. The equation has one solution, y = 0.

Explanation:

3(-y + 7) = 3(y + 5) + 6

-3y + 21 = 3y + 15 + 6

-3y -3y = 21 - 21

-6y = 0

y = 0

Answer:

21.748 mph

Step-by-step explanation:

Answer:

Robert should put $32 in his wallet.

Step-by-step explanation:

18 + x > 50

-18      -18

x > 32

Hope this helps!

Answer:

7x - 10 is the simplify of the expression

If you was asking about the simplify of the expression it is 7x - 10

Answer:

B

Step-by-step explanation:

Answer:

Ok got it

Step-by-step explanation:

the answers are y = 0.5x + 2.75 and y – 0.5x = 2.75

y = 0.5x + 2.75 and y = 0.5(x + 5.5)

y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

Answer:

0.003*10=0.03

0.3*10=3

30x10=300

300x10=3000

Step-by-step explanation:

Multiply each by 10

Answer:

0.03 , 3, 300, 3,000

Step-by-step explanation:

every time you multiply a decimal by 10 you move the decimal to the right once , on a whole number you just add another zero

Answer:

60 in²

Step-by-step explanation:

Area of parallelogram = base x height

= 10 in x 6 in

= 60 in²

The area of the parallelogram is 60in².

Answer:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

7x−5y=−24−9x+5y=187x-5y=-24-9x+5y=18

Answer:

Assuming this is a system of equations...

Point form > (3, 9)

Equation form > x = 3, y = 9

Step-by-step explanation:

So we need to solve for x in 7x - 5y = -24

Add 5y to both sides

7x = -24 + 5y

-9x + 5y = 18

Divide each term by 7

7x/7 = -24/7 + 4y/7

-9x + 5y = 18

x = -24/7 + 5y/7

-9x + 5y = 18

Now we need to replace all occurences of x with -24/7 + 5y/7

-9(-24/7 + 5y/7) + 5y = 18

x = -24/7 + 5y/7

So lets focus on simplifying -9(-24/7 + 5y/7) + 5y

Apply the distributive property

-9(-24/7) - 9 5y/7 + 5y = 18

Now multiply -9(-24/7)

So -1 by -9

9(24/7) - 9 5y/7 + 5y = 18

Combine 9 and 24/7

9 * 24/7 - 9 5y/7 + 5y = 18

Then Multiply 9 by 24

216/7 - 9 5y/7 + 5y = 18

Now we multiply -9 5y/7

So Combine -9 and 5y/7

216/7 + -9(5y)/7 + 5y = 18

Now Multiply 5 by -9

216/7 + -45y/7 + 5y = 18

Move the negative

216/7 - 45y/7 + 5y = 18

Now we need to multiply by 7/7 to make 5y a fraction with a common denom.

216/7 - 45y/7 + 5y * 7/7 = 18

Combine

216/7 + -45y + 5y * 7/7 = 18

Combine further

216 - 45y + 5y * 7/7 = 18

Multiply

216 - 45y + 35y

Add

216 - 10y/7 = 18

Factor 2 out of the equation

2(108) - 10y/7 = 18

Factor more

2(108) + 2(-5y)/7 = 18

Factor further

2(108 - 5y)/7 = 18

Now we want to solve for y in 2(108 - 5y)/7 = 18

Multiply both sides by 7 then simplify.

2(108 - 5y) * 7/7 = 18 * 7

2 * 108 + 2 (-5y) = 18 * 7

Multiply

216 + 2 (-5y) = 18 * 7

Multiply again

216 - 10y = 18 * 7

Reorder 216 and -10y

-10y + 216 = 18 * 7

Simplify the right side

-10y + 216 = 126

Now we need to solve for y

So lets move all terms not containing y to the right side.

-10y = 126 - 216 (Subtract 216 from both sides)

-10y = -90

Divide each term by -10

-10y/-10 = -90/-10

Simplify the left side

-90/10

And the right side

y = 9

x = -24/7 + 5y/7

Now replace y with 9

-24/7 + 5(9)/7

Simplify the right side

-24 + 5(9)/7

Multiply

-24 + 45

Add

21/7

x = 3

Therefore x = 3, y = 9 > (3, 9)

Answer:

Step-by-step explanation:

So we have that the diameter is 30, meaning the radius is 15.

Area: [tex]A=\pi r^{2}=\pi \cdot 15^{2}=225\pi \approx 706.86[/tex]

Circumference: [tex]C=2\pi r=2\pi \cdot 15 = 30\pi \approx 94.25[/tex]

Answer:

214,921,200 ways

Step-by-step explanation:

[tex]first \: price \: to \: one \: of \: the \: 600 \: \\ participant \\ so \: 600 \: choices \\ 2nd \: 599 \: choices \\ 3rd \: 598 \: choices \\ simplify \: 600 \times 599 \times 598 = \\ = 214,921,200[/tex]

Answer:

214,921,200 ways

Step-by-step explanation:

First = 600

Second = 599

Third = 598

Hence,

600 × 599 × 598

359400 × 598

214,921,200

Hence, in 214,921,200 different ways.

~Lenvy~

Answer:

To get the Least Common Multiple (LCM) of 1820 and 3510 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

1820: 2 2 5 7 13

3510: 2 3 3 3 5 13

LCM: 2 2 3 3 3 5 7 13

The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 = 49140

Bulb 2 was activated 760 times throughout the process.

To calculate how many times light bulb #2 was activated, we must identify how many times it is activated in each process.

Based on the information provided, bulb two has the following activity.

According to the above, bulb #2 is activated 2 times each process. So to know how many times it is activated in total, we must multiply the number of times it is activated in each process by the total number of processes (380).

380 × 2 = 760

Note: This question is incomplete because the question is missing. Here is the question:

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Answer:

3.75 pounds of carrots

Step-by-step explanation:

Multiply 0.75 by 5 and get 3.75

Answer:

3.75 lbs of carrots

Step-by-step explanation:

10/2=5

.75*5=3.75

You basically just need to multiply your serving by 5

Answer: $29.10

Step-by-step explanation:

Shoes:

10% of 24 is 2.4

The shoes cost 21.60  with the 10% discount and before tax.

Belt:

25% of 10 is 2.5

The belt cost $7.50 with the 25% discount and before tax.

Total:

You still owe 29.10 for the belt and shoes before tax.

You saved $2.4 on the shoes and $2.5 on the belt (total of $4.90)

Answer: m < 1 or m > 7

The correct answer is m < 1 or m > 7.

Step-by-step explanation:

Hope this helps =)

Answer:

8/3

Step-by-step explanation:

To make this function be continuous, we need to make the one-sided limits of the function at x=3 equal.

this means that 3c+8=9c-8

8=6c-8

16=6c

c=16/6 = 8/3

The value of constant c that makes the given function continuous at (-∞ , ∞) is 6.

What do you mean by continuity of a function ?

Continuity of a function meant all the points in the given interval satisfy the function.

We know that the conditions for which a function is continuous at b = x is :

a) f(x) exists

b) [tex]\lim_{ b\to x}[/tex] or f(b) exists.

c) [tex]\lim_{b \to x}[/tex] f(b) = f(x)

We know that for any value of c , for b ∈ ( - ∞ , 3] the function is continuous and for b ∈ ( 3 , ∞) the function is continuous. So , for any value of c, the first two conditions are satisfied.

Now we need to check for the continuity of the function at b = 3.

or

[tex]\lim_{b \to 2}[/tex] f(b) = c × 3 + 8

or

[tex]\lim_{b \to 2}[/tex] f(b) = 3c + 8

Now , check for the continuity of the function for other interval at b = 3.

[tex]\lim_{b \to 2}[/tex] f(b) = c × 9 - 8

or

[tex]\lim_{b \to 2}[/tex] f(b) = 9c - 8

To be continuous both values should be equal.

i.e.,

3c + 8 = 9c - 8

The value of constant c will be :

6c = 18

or

c = 6

Therefore , the value of constant c that makes the given function continuous at (-∞ , ∞) is 6.

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#SPJ2

Linear approximations are used to estimate functions using derivatives

The approximated value of sin(56 degrees) is 0.8429

The trigonometry expression is given as:

[tex]\sin(56^o)[/tex]

Convert 56 degrees to radians

[tex]56^o = \frac{56}{180}\pi[/tex]

To approximate, we make use of 45 degrees.

Where:

[tex]\sin(45^o) = \cos(45^o) = \frac{\sqrt 2}{2}[/tex]

Also, we have:

[tex]45^o= \frac{\pi}{4}[/tex]

And

[tex](\sin\ x)'= \cos\ x[/tex]

So, the approximation of sin(56 degrees) become:

[tex]\sin(56\°) = \sin(45\°) + (\frac{56}{180}\pi - \frac{\pi}{4}) *\cos(45\°)[/tex]

Substitute known values

[tex]\sin(56\°) = \frac{\sqrt 2}{2} + (\frac{56}{180}\pi - \frac{\pi}{4}) *\frac{\sqrt 2}{2}[/tex]

Take LCM

[tex]\sin(56\°) = \frac{\sqrt 2}{2} + \frac{56 - 45}{180}\pi *\frac{\sqrt 2}{2}[/tex]

[tex]\sin(56\°) = \frac{\sqrt 2}{2} + \frac{11}{180}\pi *\frac{\sqrt 2}{2}[/tex]

Solve the expression

[tex]\sin(56^o) = 0.8429[/tex]

Hence, the approximated value of sin(56 degrees) is 0.8429

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Answer:

16 minutes

Step-by-step explanation:

multiply 20 by 80% (20 times .80)

Answer:

15/2 is the answer to the question

Answer:

15/2

Step-by-step explanation: