A circle has a radius of 10. An arc in this circle has a central angle of 72 degrees. What is the length of the arc? btw, the arc is aligned with the radius

Answer:

16a + 22t = 11826

Step-by-step explanation:

Cost of 1 (a) ticket = $16

Cost of 1 (t) ticket = $22

Total tickets sold = 648

Cost of 648 tickets = $11826

So eqn will be => 16a + 22t = 11826

Answer:

k = - 3

Step-by-step explanation:

Given that (x - 1) is a factor of the polynomial then x = 1 is a root

Substitute x = 1 into the polynomial and equate to zero, that is

4(1)³ + 3(1)² - 4(1) + k = 0, that is

4 + 3 - 4 + k = 0

3 + k = 0 ( subtract 3 from both sides )

k = - 3

Answer:

m ∠DBC=80−10=70

m ∠ABC=80+30=110

Step-by-step explanation:

m ∠DBC+m ∠ABC=180

( x−10)+(x+30.)=180

2x+20=180

2x=180-20

2x=160

x=80

>>m ∠DBC=80−10=70

>>m ∠ABC=80+30=110

Answer:

[tex]\boxed{<DBC = 70 degrees}\\\boxed{<ABC = 110 degrees}[/tex]

Step-by-step explanation:

∠ABC and ∠DBC are supplementary which means that the sum of these two angles is equal to 180.

∠ABC + ∠DBC = 180

Given that: ∠ABC = x+30 and ∠DBC = x - 10

So,

=> x+30+x-10 = 180

=> 2x+20 = 180

=> 2x = 180-20

=> 2x = 160

Dividing both sides by 2

=> x = 80

Now, Finding measures of the angles.

=> ∠DBC = x-10 = 80-10 = 70 degrees

=> ∠ABC = x+30 =80+30 = 110 degrees

Answer:

d:48:(48+36)

Step-by-step explanation:

cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess

Option d 48:(48+36) is the correct option.

Given that:

Statements that Nora wrote are:

Statement Reason

1. Segment ST is parallel to segment RQ Given

2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent

3. Angle SPT is congruent to angle RPQ Reflexive property of angles

4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate

5. 60: (60+x) = ?

It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.

In the given figure, the above fact is shown symbolically as:

[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]

Thus we have :

[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]

Thus Option d  48:(48+36) is the correct option.

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Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] {(4 - 2)}^{3} - 3 \times 4[/tex]

Subtract the numbers

[tex] = {(2)}^{3 } - 3 \times 4[/tex]

Multiply the numbers

[tex] = {(2)}^{3} - 12[/tex]

Evaluate the power

[tex] = 8 - 12[/tex]

Calculate the difference

[tex] = - 4[/tex]

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{-4}[/tex]

Step-by-step explanation:

[tex](4-2)^3-3 \times 4[/tex]

Brackets or parenthesis are to be evaluated first. Subtract the numbers in the brackets.

[tex](2)^3-3 \times 4[/tex]

Evaluate the power or exponent.

[tex]8-3 \times 4[/tex]

Multiply the numbers.

[tex]8-12[/tex]

Finally, subtract the numbers.

[tex]=-4[/tex]

Answer:

B

Step-by-step explanation:

common difference is 3

explicit formula is

first term + ( n-1 ) * common difference

= -7 + ( n-1) * 3

Answer:

it is C.

Step-by-step explanation:

The common difference is -7

-27 -(-20)= -27 + 20 = -7

-34 -(-27)= -34 + 27 = -7

-41 -(-34)= -41 + 34 = -7

-48 -(-41)= -48 + 41 = -7

Answer:

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.

The image attached shows examples of this.

Answer:

a   1 : 5

Step-by-step explanation:

Blue mables: 3

green and red marbles: 8 + 7 = 15

then, the radio blue:(green+red) is:

3 : 15

simplified unit rate is:

3/3 = 1

15/3 = 5

then:

3:15

is equal to:

1:5

Answer:

a   1 : 5

Answer:

1. True

2. False.

3. True.

Step-by-step explanation:

1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).

Hence, for continuous probability distribution: probability = area.

2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.

Hence, it cannot be computed.

3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.

Hence, it can be computed.

Answer:

45.

Step-by-step explanation:

100% of a number is the number itself. So, 100% of 45 is 45.

Hope this helps!

Answer:it’s 45

Step-by-step explanation:It’s just the whole number nothing less:)

Answer:

First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Step-by-step explanation: Sample Response on Edge

The estimation of the solution to the tenths place is given below.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

A graph of a system that has exactly one solution.

Now,

Let a solution of the graph of a system = (2.37, 1)

So, We can estimate the solution of the system to tenth place as;

⇒ 2.37 = 2.4 (round to tenth place)

Thus, The solution of the system to the tenths place will be;

⇒ (2.3 , 1)

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Answer:

$24.

Step-by-step explanation:

Let's say Carlos has $c of money, and Mariame has $m of money.

c = 2.75m

c + m = 90

2.75m + m = 90

3.75m = 90

m = 24

c + 24 = 90

c = 66

So, Mariame has $24 and Carlos has $66.

Hope this helps!

Answer:

i need help this too

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

x = 5

Now, let's find the value of C

[tex]c = 3x - 2[/tex]

plug the value of x

[tex] = 3 \times 5 - 2[/tex]

Multiply the numbers

[tex] = 15 - 2[/tex]

Calculate the difference

[tex] = 13[/tex]

Hope this helps..

Best regards!!

Answer: sample space

Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.

Answer:

B. a rectangular solid with a base of 6 cm^2 and a height of 12cm

D. An oblique solid with a base of 6cm^2 and a slant height of 12cm

The rectangular solid with a base of 6 cm² and height of 12 cm and oblique prism of base area 6 cm² , height 12 cm has the same volume

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the base and height of the rectangular solid be 6 cm² and 12 cm respectively

So , volume of rectangle = 6 x 12 = 72 cm³

Now , the base and height of the oblique prism be 6 cm² and 12 cm respectively

So , the volume of prism = 6 x 12 = 72 cm³

Hence , the volume of rectangle and prism are same

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Answer:

Number of pendant made = 10

Step-by-step explanation:

Given:

Sides of triangle = 2 in , 2 in , 1.5 in

Total wire = 5 ft = 5 × 12 = 60 in

Find:

Number of pendant made.

Computation:

Perimeter of 1 pendant = 2 in + 2 in + 1.5 in

Perimeter of 1 pendant = 5.5 in

Number of pendant made = Total wire / Perimeter of 1 pendant

Number of pendant made = 60 / 5.5

Number of pendant made = 10.90

Number of pendant made = 10 and 1 pendant incomplete

Answer:

             [tex]\bold{A_{_{\Delta XYZ}}=927.5\ cm^2}[/tex]

Step-by-step explanation:

m∠Z = 180° - 118° - 28° = 34°

[tex]\sin(28^o)\approx0.4695\\\\\sin(118^o)=\sin(180^o-62^o)=\sin62^o\approx0.8829 \\\\\sin(34^o)\approx0.5592\\\\[/tex]

[tex]\dfrac{\overline{XY}}{\sin Z}=\dfrac{\overline{YZ}}{\sin X}\\\\\\\overline{XY}=\dfrac{\overline{YZ}}{\sin X}\cdot\sin Z\\\\\\\overline{XY}=\dfrac{42}{0.4695}\cdot0.5592\\\\\overline{XZ}=50.024281...\\\\\\A_{_{\Delta XYZ}}=\frac12\cdot\overline{XY}\cdot\overline{YZ}\cdot\sin(\angle Z)\\\\\\A_{_{\Delta XYZ}}\approx\frac12\cdot50.0243\cdot42\cdot0.8829=927.4955...\approx927.5[/tex]

Answer:  78 units²

Step-by-step explanation:

Use Pythagorean Theorem to find the base of the triangle:

x² + 12² = 15²

x² + 144 = 225

          x² = 81

          x = 9

Now, separate the figure into two shapes --> triangle and rectangle.

[tex]A_{\triangle}=\dfrac{base\times height}{2}=\dfrac{9\times 12}{2}=54\\\\A_{\square}=length \times width = 12 \times 2 =24\\\\A_{trapezoid}=A_{\triangle}+A_{\square}=54+24=\large\boxed{78}[/tex]

You can also use the trapezoid rule:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\quad = \dfrac{(9+2)+(2)}{2}\cdot 12\\\\\\.\quad = \dfrac{13}{2}\cdot 12\\\\\\.\quad =13\cdot 6\\\\\\.\quad = \large\boxed{78}[/tex]

Answer:

r = 18m

Step-by-step explanation:

h = 50 m

Volume of cone = 5400π m³

[tex]\frac{1}{3}\pi r^{2}h=5400\pi \\\\\\\frac{1}{3}\pi r^{2}*50=5400\pi \\\\\\r^{2}=\frac{5400* \pi *3 }{\pi * 50}\\\\\\r^{2}=108*3\\\\r^{2} = 324\\\\\\r=\sqrt{324}\\\\\\[/tex]

r = 18 m

Answer:

y = 2x+4

Step-by-step explanation:

The y intercept ( where it crosses the y axis ) is 4

The slope is positive because the line goes up from the bottom left to top right

We pick two point ( -2,0) and ( 0,4)

The slope is found by

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

 = ( 4-0)/(0- -2)

  = 4/ (0+2)

  = 4/2

   = 2

The slope intercept form of a line is

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

y = 2x+4

Answer:

The equation to this line is y=-4x+4

Step-by-step explanation:

If you look at the graph you can see that the y intercept is 4.

To find the slope take two points on the graph and plug it into be y2-y1/x2-x1

I chose (0,-2) and (-1,2) So  2+2=4  and -1-0= -1 so  4/-1= -4

Answer:

L = length of the ladder;

K = distance between wall and the foot of the ladder;  

a = angle between ladder and the ground

cos(a) = K/L,

L=K/cos(a),

L=K/cos(35°),

L=5/cos(35°),

L=6.1 m

Answer: 6.1

Step-by-step explanation:

Answer:

2).X= 3.464 m

3).X= 86.60m

4).X= 51.96 m

5).X= 30 m

6). X=3.193 m

7). X= 126.2 m

8).79.41m = x

9). 14.3km = x

10). 173.21 m= x

Step-by-step explanation:

For question 2

Distance of ladder from the foot

Tan60= 6/x

X= 6/tan 60

X= 3.464 m

For question 3

The height of the wall x is

Sin 60= x/100

X= 100*0.8660

X= 86.60m

Question 4

The distance between tree and tower is x

Tan30 = 30/x

X= 30/tan 30

X= 30/0.5774

X= 51.96 m

Question 5

If TanA= 3/4

And base = 40 m

TanA= x/40

Equating

X/40= 30/40

X= 30 m

Question 6

The length of ladder= x

Cos 20 = 3/x

X= 3/cos20

X=3.193 m

Question 7

Length of the string= x

Sin 31= 65/x

X= 65/sin 31

X= 126.2 m

Question 8

Height of kite= x

Tan ∅ = 15/8

∅= Tan^-1(15/8)

∅=61.93°

Sin∅= x/90

Sin61.93 *90= x

79.41m = x

Question 9

Height above ground= x

Tan 50= x/12

Tan 50 * 12 = x

14.3 km = x

Question 10

Height of balloon above ground= x

Sin60= x/200

Sin 60 *200 = x

173.21 m= x

Answer:

2,666.67 L of water

Step-by-step explanation:

Solve for W:

1) 3200 = 2400 + 0.3w

2) 800 = 0.3w

Divide both sides by 0.3 to get the variable alone

3) (800)/0.3 = (0.3w)/0.3

4) w = 2,666.67 L

Answer:

Lucy needs to invest $55,194.16

Step-by-step explanation:

The given information are;

The interest rate of the account = 7% compounded daily

The amount at the end of 6 years = $84,000

The time duration = 6 years

The amount Lucy

The formula for compound interest is

[tex]A(t) = P \times \left ( 1 + \dfrac{r}{n} \right )^{n \times t}[/tex]

Where;

r = The interest rate = 7% = 0.07

n = The number of times a year = 365

t = The number years = 6 years

A(t) =  The amount after 6 years = $84,000

P = The initial amount invested

Therefore, we have;

[tex]\$ 84,000 = P \times \left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}[/tex]

[tex]P = \dfrac{\$84,000}{\left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}} =\dfrac{\$84,000}{1.522} = \$55,194.16[/tex]

Therefore, Lucy needs to invest $55,194.16.

Answer:

here is your answer

Answer:hey guys just saying its 1/52

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Try factoring the equation

Answer:

D Edge 2020-2021

Step-by-step explanation:

I got it right on the quiz