1. Two boats leave a dock at the same time, but they are traveling in opposite
directions. The longest time either boat is capable of traveling without stopping is 6
hours. Boat F travels 200 miles north in x-1 hours, and boat G travels 160 miles south in
x hours.

Answer:357.96in

Step-by-step explanation:

1. Surface area of a cylindar is A= 2πr(r+h)

2. A= 2·π·3 (3+16)

Second question

Answer: 296in

Answer:

[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]

I am joyous to assist you at any time.

Answer:

9470m above the sea level.

Step-by-step explanation:

Answer: number a

Step-by-step explanation:4 times 2 is 8 8 times 2 is 16

The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.

Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.

In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.

Learn more about map on:

https://brainly.com/question/4289712

Answer:

The answer = 9

D : 729

Step-by-step explanation:

here step-by-step is 6/2 * (1 + 2) = 9                          

This is the answer. If this helps you please give brainliest.

Work Shown:

[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]

The 2^x matches with 2^5, showing that x = 5.

3^y matches with 3^3 to get y = 3

Therefore, x+y = 5+3 = 8

Answer:

13x9

Step-by-step explanation:

half of perimeret of  rectangle L+W

half of perimeter of  rectangle = 44/2 = 22

L+W=22

LxW=117

  Think of 2 numbers that added =22 and multiplied =117

       13+9 =22

    13x9 =117

Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

Learn more about rectangular prism here

https://brainly.com/question/21308574

#SPJ2

Opposite angles are equal in parallelogram

<M:-

x=8. The steps are in the attachment.

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = k² × area of second figure

Similarly,

Volume of first figure = k³ × volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

Let the scale fator of dilation be k.

Then:

So area of pre-image = k² × area of dilated image

Thus, we get:

[tex]35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3[/tex]

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

[tex]5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m[/tex]

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

https://brainly.com/question/3266920

Answer:

1:300

Step-by-step explanation:

Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 12 experiments, 5 resulted in one of each, hence:

[tex]p = \frac{5}{12}[/tex]

There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

The following measurements are:

[tex]m\angle{STR}=23^\circ[/tex] (Option #4)

[tex]m{QT}=142^\circ[/tex] (Option #7)

[tex]mST=134^\circ[/tex] (Option #5)

[tex]mRQ=38^\circ[/tex] (Option #2)

Step-by-step explanation:

To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

[tex]46=2\theta\\23=\theta[/tex]

Next, we can find the measure of arc QT using the same theorem. So,

[tex]QT=2(71)\\QT=142[/tex]

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:

[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]

We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:

[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]

Answer:

2.5

Step-by-step explanation:

BASED ON GIVEN DATA:

⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES

⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES

THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.

Answer:  0.5  minutes

Step-by-step explanation:  

Answer:21.08in^2.

Step-by-step explanation:A=2(wl+hl+hw)=2·(4·8+3·8+3·4)=136cm2

136 cm^2 to inch^2.=21.08

Answer:

96in²

Step-by-step explanation:

i took k-12 quiz

Answer:

b. C= 14+(10b)

c. C = 14+ ( 10 x 3) = 14+30 =44

Step-by-step explanation:

Hope this helps

Answer:

77.6

Step-by-step explanation:

Each number is subtracted by 0.2

Hope that helps!

Answer:

How can i unsubscribe brainly?

Answer:

Step-by-step explanation:

m∠1 = 360° ÷ 8 = 45°

m∠2 = 45° ÷ 2 = 22.5°

m∠3 = ( 180° - 45° ) ÷ 2 = 67.5°

Answer: 5/9

Step-by-step explanation: I took a test on this ;)

Mean: 16

To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.

1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112

2. 112 / 7 = 16

3. The mean is 16.

Answer: 16.

Step-by-step explanation: To find the mean of any given data, you need to add all the data.  The work is below:

13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.

Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data.  The work is below:

112 / 7 = 16.

Therefore, the mean of this data is 16.

Hope this helps! :)

Answer: Point A: −12 3

explanation: I hope that helps

C = pi x d

3,14 x d = 47,1

d = 15

Answer: 94 degrees

Step-by-step explanation:

Answer:

exponential

Step-by-step explanation:

it is an exponential function

+7

+10

+15

+21

+30

Here we are given that ;

[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]

Differentiating both sides w.r.t.x ;

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]

This is the required answer

So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different

Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps

For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340

Since we're decreasing, subtract 2,340 from the original cost

18,000-2,340=$15,660

Same process for the second option

14%*22,000=3,080

22,000-3,080=$18,920