Help please!!! 100 points

Answer:

Step-by-step explanation:

Part A

The data is modeling a geometric sequence because they have a common ratio of 2.

Part B:

= 48

Step by Step Answer

f(n)=f(n-1)*r

f(n)=f(5-1)*2

f(n)=f(4)*2

f(n)=(24)2

f(n)= 48

Part C:

= 384

Step by Step Answer

f(n)=f(1)*r^n-1

f(n)=3*2^8-1

f(n)=3*2^7

f(n)=3*128

f(n)=384

Aurora will complete the 10th station in 1024 minutes (or 17 hours and 4 minutes).

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

The given data represents a geometric sequence, where the common ratio between any two consecutive terms is 2.

We can find the common ratio by dividing any term by its preceding term.

Common ratio = 4/2 = 8/4 = 16/8 = 2

Let T₁ be the time taken to complete the first station (x = 1). Then the explicit formula for the nth term of the geometric sequence is:

Tₙ = T₁ r⁽ⁿ⁻¹⁾

where r is the common ratio.

We are given the first four terms:

T₁ = 2

T₂ = 4

T₃ = 8

T₄ = 16

We can use the formula to find the time taken to complete the 10th station (x = 10):

T₁₀ = T₁ r⁽¹⁰⁻¹⁾

T₁₀ = 2(2)⁹

T₁₀ = 2 x 512

T₁₀ = 1024

Therefore, T₁₀ = 1024.

To learn more about the geometric sequence;

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Answer: Not safe

Step-by-step explanation:

Let the angle of elevation of the ramp be θ, then:

[tex]\begin{aligned}&\sin \theta=\frac{1.5}{10}=0.15 \\&\theta=\sin ^{-1}(0.15) \approx 8.63^{\circ}\end{aligned}[/tex]

But the maximum angle for the ramp cannot exceed 7.1°. The calculated angle of elevation will make it difficult, if not impossible, for motorized wheelchairs to get up the ramp.

Therefore, the ramp at the local library is not safe for motorized wheelchairs

Answer:

B

Step-by-step explanation:

sames sides same angle

180=90+2x

180-90=2x

90=2x

x=45

Answer:

6.0 ft^2

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Right away i notice the 45° angle and the 90° angle in triangle RTQ, this means that the remaining angle must be 180-(90+45)=45°.

If it isn't obvious yet, triangle RTQ is a right isosceles triangle where RT=RQ=x.

Now looking at my other triangle RST

I know that RT=x, RS=2√3 and ST is unknown.

So i cannot apply my Pythagorean theorm.

HOWEVER i do notice 60 degree angle and the 90 degree angle, which means that the last angle must be 180-(90+60)=30° and this triangle (RST) must be a half equilateral triangle;,

Now i can use the relation which describes the relation between the hypotenuse(x) and the side opposite or facing the 60° angle (RS=2√3).

RS=x√3/2

2RS=x√3

2×2√3=x√3

4√3=x√3

4√3/√3=x

x=4 :P

Answer:

Step-by-step explanation:

It could be 32m. Maybe, I'm not positive though.

Answer:

Hope you like the answer

Step-by-step explanation:

Mark me as Brilliant if you like the answer

Answer:

(-4,0)

Step-by-step explanation:

Answer:

It will be over at 5:17 pm

Step-by-step explanation:

2:45 +32 would be 3:17, we add 2 hours it would be 5:17

Answer:

5:17 pm

Step-by-step explanation:

Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long

Thus,

2:45 + 2 and 32 Minutes

2 + 2 = 4

45 + 32 = 77 minutes

1 Hour = 60 Minutes

Thus, 77 - 60 =17

Hence, 4 + 1 = 5

Thus, the movie will be over at 5:17 Pm

~Lenvy~

Hey there!

Complementary angles add up to 90 degrees.

We are given

An angle of 79 degrees

and we're asked to find the complement of the angle.

So let's set up an equation:

79+x=90

where x=the unknown angle

Subtract 79 from both sides:

79-79+x=90-79

x=11

Hence, the measure of the unknown angle is

[tex]\boxed{\boxed{\bold{11}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

[tex]\rule{200}{2}[/tex]

(b) 11°

The sum of two angles is equal to 90 degrees.

Here, one angle is 79°

steps:

Answer:

divide the number of pages by the time

Step-by-step explanation:

=50/40

=5/4

= 1.25/per minute

Step-by-step explanation:

1 hour 50 minutes = 110 mins

1 1/2 hours = 90 mins

add all these:

110

90

85

55

35

when you add all these you get 375

every hour has 60 minutes

375 ÷ 60 = 6.15

if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.

Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.

The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.

Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours

Lounge = 55 minutes = 55/60 = 0.916 hours

Bedroom = 1.5 hours

Bathroom = 35 minutes = 35/60 = 0.583

Breaks = 85 / 60 = 1.417

Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417

= 6.249 hours

= 6 + (0.249 x 60 minutes)

= 6 hours 15 minutes

The time he will finish is:

= 6 hours 15 + 9

= 1515 hours

= 3:15 pm

Find out more on operations involving time at https://brainly.com/question/1040096.

Answer:

Step-by-step explanation:

It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.

First, you have to add the whole numbers.

3+1=4

After that, you can combine by a fraction.

6*3=18

18/5+ 1 1/6

1+6=7

7/6

Rewrite the problem down.

18/5+7/6

Solve.

5*6=30

143/30

=23/30

[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

slope: 2

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]

[tex]\rightarrow \sf \dfrac{8}{4}[/tex]

[tex]\rightarrow 2[/tex]

The length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

Let the intersection point of dignoals is O. The figure of the kite ABCD, is attached below. The sides of the kite ABCD, are,

[tex]AO=12\\OB=9\\CO=12\\OD=16[/tex]

In the triangle AOB using the pythagours theorem,

[tex]AB=\sqrt{(AO)^2+(OB)^2}\\AB=\sqrt{(12)^2+(9)^2}\\AB=\sqrt{225}\\AB=15[/tex]

Similarly, in the triangle DOC using the pythagours theorem,

[tex]CD=\sqrt{(CO)^2+(OD)^2}\\CD=\sqrt{(12)^2+(16)^2}\\CD=\sqrt{400}\\CD=20[/tex]

Thus, the length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.

Learn more about the Pythagoras theorem here;

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Answer:

its B

Step-by-step explanation:

Answer:

A yard sale.

Step-by-step explanation:

lol

What is this question really about? Could you perhaps dive a little bit more into detail please? Ty

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

As we know, we can calculate the circumference of a circle in terms of its diameter as :

[tex]\qquad \sf  \dashrightarrow \:c = \pi d[/tex]

where, c = circumference and d = diameter

And also, circumference of circle is terms of radius (r) is :

[tex]\qquad \sf  \dashrightarrow \:c = 2\pi r[/tex]

Now, let's move on to questions ~

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 5.9 [/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx18.53 \: ft[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex] \qquad \sf  \dashrightarrow \: \approx10.048 \: ft[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:3.14 \times 6.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx19.15 \: ft[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 3.7[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×11.62 \: m[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx23.24 \: m[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 6.2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2× 19.47 \: units[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx38.94 \: m[/tex]

・ ．━━━━━━━†━━━━━━━━━．・

[tex]\qquad \sf  \dashrightarrow \:2×3.14 \times 5.1[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx2×16.01 \: ft[/tex]

[tex]\qquad \sf  \dashrightarrow \: \approx \: 32.02m[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

= 96 in^2.

Area of unshaded inner shape = (½ x 3 x 4) in^2.

= 6 in^2.

Area of shaded region = (96 – 6) in^2.

= 90 in^2.

Answer:

31 cm2

Step-by-step explanation:

Rectangle 5X2 = 10 cm2

Triangle (6)(7)/2 = 42/2 = 21 cm2

Total area = 10 + 21 = 31 cm2

Hope this helps

The height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Volume of a cone = 1/3πr²h, where, h = height of cone, and r = radius of the cone.

Given the following:

Plug in the values into the volume formula:

1/18π = 1/3π(1/3)²h

1/18π = 1/3π(1/9)h

1/18π = (πh)/27

Divide both sides by π

1/18 = h/27

Cross multiply

27 = 18h

27/18 = h

h = 1.5

Therefore, the height of the cone with a volume of 1/18π ft³ is: 1.5 ft.

Learn more about volume of cone on:

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 5 \times 0.6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 3 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 1[/tex]

Therefore, the required value of x is 1

Answer:

[tex]\displaystyle 1[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]

OR

[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

8.2 is your answer.

Step-by-step explanation:

first you would add 22 and 19 together to get 41

then you divide by 5 to get your answer 8.2

22+19=41÷5=8.2

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

Answer:

804.2 or 803.8

Step-by-step explanation:

volume = π · r2 · h

π · [tex]4^{2}[/tex] · 16 = 804.2

3.14 · [tex]4^{2}[/tex] · 16 = 803.8

Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

Answer:Its -3.5

Step-by-step explanation:

Answer:

3/1

Step-by-step explanation:

Make sure you know a few concepts first:

Alternatively

Using the Pythagorean Theorem, it is found that the balloon rises 67.08 feet.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching this problem on the internet, it is found that the situation is modeled by a right triangle, in which the horizontal distance between the balloon and the student is of 60 ft, the vertical distance is of h, while the hypotenuse is of 90 ft, hence:

[tex]60^2 + h^2 = 90^2[/tex]

[tex]h = \sqrt{90^2 - 60^2}[/tex]

[tex]h = 67.08[/tex]

The balloon rises 67.08 feet.

More can be learned about the Pythagorean Theoremat https://brainly.com/question/26396675

Answer:

a

Step-by-step explanation:

you can split nine into three

Answer:

The answer is A.

Step-by-step explanation:

You gotta split 9 into 3

Answer:

6xba^2 + 6yba^7 + 48ab

Step-by-step explanation:

To do this, you have to multiply 6ab by each of the inside terms,

So you can write it out like this

6ab (xa + ya^6 + 8)

6ab(xa) + 6ab(ya^6) + 6ab(8)

Then you can simplify:

6xba^2 + 6yba^7 + 48ab

(When you multiply the same variable by itself, you turn it into an exponent)

For example x * x = x^2

Or x^4 * x^3 = x^7