What is the length of arc S shown below?
units
S
0.4
5

Answer:

Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.

A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)

Step-by-step explanation:

Hope this helps. Stay healthy. No corona. Take Care

At the agre of 28 he had invested A=$2444.18.

The doubling time in years is 72/interest rate in per cent.

72/6 is 12 so it doubles every 12 years,

So, in 36 years it will double 3 times.

The formula of investment is

[tex]A=P(1+r)^{nt}[/tex]

[tex]A=300(1+.06)^{36}[/tex]

Without rounding, We get,

A=$2444.18.

That is doubling 3 times or increasing 8 fold.

Therefore at the age of 28 he had invested A=$2444.18.

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Answer:

8ft. x 16ft.

Step-by-step explanation:

If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.

Answer:

i dont really know

Step-by-step explanation:

The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.

8 x 2 = 16     8 x 3 = 24.

Answer:

The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

Step-by-step explanation:

The two-point form for the equation of straight line is:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]

Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].

The correct option is (D).

Answer:

D

Step-by-step explanation:

Answer: y-intercept

Step-by-step explanation:

Answer:

A =452.16 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

A = 3.14 (12)^2

A =452.16 ft^2

Answer:

452.16ft^2

Step-by-step explanation:

So to answer this You need to use the formula A=πR^2

Answer:

420

Step-by-step explanation:

multiply them by each other

Answer:

420 square inches

Step-by-step explanation:

(5x12)x7=?

12x5=60

60x7=420

(5x12)x7=420

Hope this helped!

The ratio 1:4 would be the same as if it was written as 1/4.

Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2

The answer is:

B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2

Answer:

254.34 m^2

Step-by-step explanation:

To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.

We know that the area would be determined by:

A = pi * r ^ 2

the radius is half the diameter:

r = d / 2 = 18/2

r = 9

the radius equals 9 feet, replacing:

A = 3.14 * 9 ^ 2

A = 254.34

Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built

Answer:

The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).

Option B = -3 is correct.

Hope this helps!

:)

The y intercept value is option (B) -3

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis

Given

x intercept value = -4

From the graph we can say that y intercept value = -3

The y-intercept is the point where the line crosses the y-axis that is -3

Hence, the y intercept value is option (B) -3

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Answer: help me with my questions

Step-by-step explanation:

Click on my profile answer my question and get branliest

Answer:

The constant is 5 and the coefficient is 3.

Step-by-step explanation:

The constant is something that does not change, which would be 5 because it stays 5 no matter what.

The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.

I hope this helps! :)

Answer:

x= 20

Step-by-step explanation:

a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.

Step 1

define

according to the graph

3x+80+2x=flat angle=180°

3x+80+2x=180°

Step 2

solve for x

3x+80+2x=180°

5x+80=180

subtract 80 in each side

5x+80-80=180-80

5x=100

divide by 5

(5x)/5=100/5

x=20

happy to help:)

Answer:

sometimes

Step-by-step explanation:

You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.

Hope this helped! :)

Answer:

sometimes

Step-by-step explanation:

The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

Here,

To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.

When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.

This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.

Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.

At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.

So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.

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Answer:

2500 cups

Step-by-step explanation:

Let c = total cups

c*30% = green cups

c*.30 = 750

Divide each side by .30

.30c/.30 = 750/.30

c =2500

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Answer:

see below

Step-by-step explanation:

8.

We have to use the law of cosines to find AB

c^2 = a^2 + b^2 − 2ab cos(C)

AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)

AB^2 =196 +576 - 672 cos(91)

AB^2 =783.7280171

Taking the square root of each side

AB =27.99514

Rounding to the nearest tenth

AB = 28

(If the lengths are supposed to have the variable A)

AB = 28A

9.

Using the law of sines

sin 84              sin A

--------------  = -------------

22                     9

Using cross products

9 sin 84 = 22 sin A

Divide each side by 22

9 sin 84 /22 = sin A

.406849866 = sin A

Taking the inverse sin of each side

24.00710132 = A

To the nearest tenth

A = 24

Answer:

AB = 28 ft; m<A = 24 deg

Step-by-step explanation:

8.

Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.

[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]

[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]

[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]

[tex] c = \sqrt{783.73~ft^2} [/tex]

[tex] c = 27.995~ft [/tex]

AB = c = 28 ft

9.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]

[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]

[tex] \sin A = 0.40685 [/tex]

[tex] A = \sin^{-1} 0.40685 [/tex]

[tex] A = 24^\circ [/tex]

Answer:

2 and 1

Step-by-step explanation:

[tex]y = {x}^{2} + 3x - 7 \: will \: have \: two \: points \: of \: \\intersection \\ \\ y - x = 9 \: will \: have \:only \: one\: point \: of \:\\ intersection[/tex]

Answer:

62.4

Step-by-step explanation:

Volume=L*w*h/3

V=5.2*4*9=187.2

187.2/3-62.4

Answer:

The volume of pyramid is

V = Base area x Height x 1/3

  = (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)

Hope this helps!

:)

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS

Answer:

the answer is -6 and -3

Step-by-step explanation:

Answer:

-3 and -6.

Step-by-step explanation:

ac = 1 *18 = 18

b = -9

The 2 numbers required are  -3 and -6.

Answer:

172.5 inches cubed

Step-by-step explanation:

Answer:

B: 20%

Step-by-step explanation:

The theoretical probability that the applesauce and broccoli dishes will both be offered on Monday is given by P ( A ) = 20 %

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the theoretical probability that the applesauce and broccoli will both be offered on Monday be P ( A )

Now , the equation is

The total number of dishes = 6 dishes

The combination of selecting 3 dishes out of 6 is given by

⁶C₃ = 20 ways

Now , the combination of selecting 2 dishes on Monday = 4 ways

So , P ( A ) = 4 / 20

P ( A ) = 1/5 = 0.20

Therefore , the applesauce and broccoli will both be offered on Monday is given by 20 %

Hence , the probability is 20 %

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Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

The area A of a trapezoid is the height h times the average of the parallel bases a and b.  

A = (1/2)(a + b)h

Solving for a,

2A = (a+b)h

2A/h = a+b

a = 2A/h - b

We have A=59.64, b=4, h=8.4

a = 2(59.64)/8.4 - 4

a = 10.2 yards

Answer: 10.2

Answer:

none of the above

Step-by-step explanation:

One milliliter is equal to a cubic centimeter. I think from the options, it's self-explanatory.

Answer:

Inscribed angles, substitution property of equality

Step-by-step explanation:

We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.

Plus i took the test and its right.

Angles to be proven as supplementary angles are known as inscribed

angles, and they are used as the substitute to known angles.

Response:

The given information are;

Quadrilateral CDEF is inscribed in circle A

The completed statement is presented as follows;

The correct option is therefore;

Inscribed angles are angles formed by the intersection of two chords of

a circle.

The substitution property of equality states that variables that are

equal can be substituted by each other in any equation with both sides

of the the equation remaining equal.

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Answer:

Intersection means a line common to other lines and an action of intersection/intersecting.

hope it helps!

Answer: It is not a perfect rectangle

Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile

Answer:

Step 4: What is the factored form of this trinomial?

✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )

✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )

✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )