Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=

The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]

Here, θ is the angle.

The value of angle given in the problem are,

Put these values in the above fromula as,

[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]

Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.

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Answer:

D(2.659)

Step-by-step explanation:

got it right on edg

Answer:

Part A: 2 (20 × 50) + 2(20 × 10)

Part B: 1200 cm²

Step-by-step explanation:

Part A:

2 (20 × 50) + 2(20 × 10)

= 2(1000) + 2(200)

= 2000 + 400

= 2400

Part B:

Divide the answer by 2.

= 2400/2

= 1200 cm²

Because the formula to find the area of a kite is

1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.

First find out the value of big triangle and small triangle and - Big triangle and small triangle

Answer:

30.4

Step-by-step explanation:

17+28+32+35+59+20+19+33+30+31=304

304/10=30.4

Answer: B: milk jug

Step-by-step explanation:

A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.

Spinning the spinner and tossing the coin is an illustration of probability

The probability of spinning a 1 and tossing a head is 0.10

From the table, we have the following parameters:

Total outcomes, n = 10

A 1 and a head, n(H1) = 1

So, the probability of spinning a 1 and tossing a head is:

P(H1) = n(H1)/n

Substitute known values

P(H1) = 1/10

Evaluate the quotient

P(H1) = 0.10

Hence, the probability of spinning a 1 and tossing a head is 0.10

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Answer:

The correct option is;

B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t

Step-by-step explanation:

The set of inequalities below represents this scenario s ≥ 12 - t,

s ≤ 30 - t, s ≤ 24 - 0.66·t

We have given that,

at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.

A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

lets t=times

s=shorts

We have to determine the correct inequality so that we will get,

The correct option is;

s ≥ 12 - t,

s ≤ 30 - t,

s ≤ 24 - 0.66·t

Therefore option B is correct.

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2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Answer:

it took the remaining two builders five days to finish

It takes 38 days to build the house for the remaining workers. Since it is said that the total working days for building a house with 8 workers is 20 and 6 workers left after 14 days and each worker is working at the same rate.

8 builders can finish a house in 20 days

Each builder works at the same rate

After 14 days 6 builders left.

When 6 builders left after 14 days, 2 builders have remained

Then, we can write

1 builder can finish the work that these 6 builders did in those 14 days is

6×14=84 days

Since it takes 20 days for 8 builders to finish a house, then for 1 builder it takes

1 builder = 20×8=160 days

Then the remaining left for 1 builder to finish the house is 160-84=76 days

Then the remaining 2 builders will build the house in 76/2 days

That is 38 days.

Therefore, the remaining builders build the house in 38 days at the same rate.

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Answer:

2) Jamie's photo gets more likes within the first three days than Linda's photo.

there are three pictures with every step

good luck writing that on the paper bro lol

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!

Answer:

100

Step-by-step explanation:

5*5*4=100

Answer:

Step-by-step explanation:

Let the length be x and width be y.

We have:

Set equation and solve

The length is:

The perimeter is:

Correct choice is D

Let they be l and b

And

So

From both equations

And.

b=20-8=12ft

Option D

Answer:

6 m/hr

Step-by-step explanation:

The first brother took   12/8 = 1.5 hr

the second brother took  1.5 + .5 = 2hours

  12 miles / 2 hrs =

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

Answer:

C, those who vote FOR the Ballet Measure tend to be from District 2.

Step-by-step explanation:

Look carefully, read the questions! Okay! Cya!

Those who vote for the ballot measure tend to be from District 2. The correct option is C.

To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.

District 1:

For: 13/75 ≈ 0.1733

Against: 12/75 ≈ 0.16

District 2:

For: 15/75 ≈ 0.2

Against: 10/75 ≈ 0.1333

District 3:

For: 9/75 ≈ 0.12

Against: 16/75 ≈ 0.2133

Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),

While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:

The correct option is C.

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Answer:

0.6

Step-by-step explanation:

apply the volume of cylinder and equal both of them because both contain same amount of water.

see the picture for full solution

Answer: d - the amount of space occupied by an object (its capacity)

Explanation:

        [a] The total distance around a figure is the perimeter, this does not answer our question.

        [b] The average of the sum of all items is the mean, this does not answer our question.

        [c] The exposed surface of a solid shape is the object's surface area, this does not answer our question

        [d] The amount of space occupied by an object is the object's volume, so this does answer our question.

Answer:

65

Step-by-step explanation:

[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]

The area of the trapezoid, to the nearest whole number is: D. 8 units²

Area of trapezoid = 1/2(a + b)h, where:

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

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Answer:

(2y)(7x-1)(2x+3)

Step-by-step explanation:

first, all the terms have a 2 and a y in common. you can take that out of every term. then i just used the quadratic x factor method, you can find out what it is via the internet, its the fastest option to factor if possible :)

Answer:

[tex]=2y (7x-1) (2x+3)[/tex]

Step-by-step explanation:

[tex]28x^{2}y + 38xy - 6y[/tex]

[tex]=2y(14x^{2} +19-3)[/tex]

[tex]=(7x-1) (2x+3)[/tex]

[tex]=2y(7x-1) (2x+3)[/tex]

Answer:

1800 m²

Step-by-step explanation:

The surface area of a prism is the sum of the areas of its faces.

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²

⇒ 2(LH + BH + LB) = 450 m²

Finding the surface area if the dimensions are doubled:

⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]

⇒ 2[(4LH) + (4BH) + (4LB)]

⇒ 2[4LH + 4BH + 4LB]

⇒ 2[4(LH + BH + LB)]

⇒ 2[2 × 2(LH + BH + LB)]

⇒ 2[2(450)]                                                           [2(LH + BH + LB) = 450 m²]

⇒ 2[900]

⇒ 1800 m² (Option C)

Answer:

B

Step-by-step explanation:

Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.

Answer:

241.5

Step-by-step explanation:

First add all your numbers togather

17 + 18 + 15 + 19

= 69

THEN..

Multiply by 7

= 69 × 7

= 483

After that divide it by 2..

483 ÷ 2

= 241.5

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]

[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]

[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]

On substituting the value of radius(r) and slant height(l) in this formula we get,

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]

Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.

_____________________________

Hope it helps:)

Step-by-step explanation:

Given:-

To find :-

Concept :-

Solution :-

As we know ,

the formula for finding the curved surface area of cone :- πrl

putting the known values ,

CSA :- 3.14 × 6 × 10 cm²

CSA of cone :- 188.4 cm²

Answer:

7 cups

Step-by-step explanation:

1 3/4 x 4 = 7

Karla will need 7 cups of sugar to serve 40 people.

Answer:

3 7/8 liters

Step-by-step explanation: 3 7/8 liters because she first filled one container with 1 5/8 liters of rice and 2 1/4 liters on the other. Since you want to know how much she has in both you add 1 5/8 and 2 1/4. After that you convert 2 1/4 into 2 2/8 and add that to 1 5/8 to get 3 7/8 liters of rice.

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches