Tory and​ Emilio's motorboats travel at the same speed. Tory pilots her boat 30 km before docking. Emilio continues for another 2 ​hr, traveling a total of 80 km before docking. How long did it take Tory to navigate the 30 ​km?

Answers

Answer 1

Answer:

1.2 hours

Step-by-step explanation:

first im going to assume both travel at a constant speed the entire time

both motorboats travel 30 km, so emilio travels another 50 (80-30 = 50) km in 2 hours. speed = distance/time so the speed of the motorboats is 50/2 or 25km/h

divide 30 by 25 to get 1.2hours


Related Questions

Complete the following question4*5-(2-2) =

Answers

Answer:

20

Step-by-step explanation:

4*5-(2-2) =

(Make sure to use BODMAS to solve correctley in order)

4*5=

20

Please help! Area of part of a circle!!!

Answers

The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².

The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines

b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°)   ⇒   b = 96√3 cm

Call b the base of this triangle.

The vertex angle is 120°, so the other two angles have measure θ such that

120° + 2θ = 180°

since the interior angles of any triangle sum to 180°. Solve for θ :

2θ = 60°

θ = 30°

Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find

tan(30°) = h / (b/2)   ⇒   h = 48 cm

Then the area of the triangle is

1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²

and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

3072π cm² - 2304√3 cm² ≈ 5660.3 cm²

3. If the circle is 360 degrees and there are 12 angles in the circle below, how many degrees are in each angle?

Answers

If we have 360 degrees and need to divide it into 12 equal angles, then all we have to do is a simple division problem.

360 / 12 = 30

There are 30 degrees in each angle.

Hope this helps!

Answer:

30 i think ???

Step-by-step explanation:

5 How many balls can Brad put in a box that has 6 x 6 balls in the bottom layer and 5
layers? Show your work.

Answers

A product is the outcome of multiplication. Brad can put 144 balls in the box.

What is multiplication?

A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.

Given that the bottom layer of the box has 6×6 balls, while the box has 5 layers. Since one layer is already arranged, therefore, there are only 4 layers left in which each layer will have 6×6 balls. Therefore, the total number of balls is,

[tex]\text{Total number of ball} = 4 \times 6\times 6 = 144[/tex]

Hence, Brad can put 144 balls in the box.

Learn more about Mulitplication:

https://brainly.com/question/14059007

#SPJ1

21. Sawyer is 6 years older than his sister.
This year, Sawyer is also three times as
old as his sister. How old is Sawyer now?
Mark your answer in the grid below.

Answers

The variable S is used to exemplify Sawyers age. Therefore S-6= Sister’s age. 3(S-6) is used to demonstrate that Sawyer is three times as old as his sister. When broken down it is equal to S=3S-18 where you will add 18 to both sides giving you S+18=3S. Then, you will subtract S from both sides giving you 2S=18 making your final answer 9. Sawyer is 9 years old now.

HELP WILL MARK BRALINEST

Answers

The root of the system of equations is x = -1

That is, the lines intersect at (x,y)= (-1,-5)

16. The figure below is a regular hexagon inscribed
inside a circle that has a radius of 6 in.
What is the area of the hexagon?

Answers

Answer:

The answer my good friend is 7776 because if you do 6 to the 5th power  or 6x6x6x6x6 you will get 7776.

Step-by-step explanation:

5(3x + y) when x=6 and y=2

Answers

Answer:

100

Step-by-step explanation:

If x is 6 and y is 2 the new equation would look like this: 5(3x6 + 2). 3 times 6 is 18 and add 2 is 20. Therefore you would get 20 times 5. 20x5 is 100

please help me find the formula of this table graph thingy

I NEED THE FORMULA, Y=??????

the topic Is graph and direct propotion​ btw​

Answers

Answer:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

Step-by-step explanation:

Formula :  y=k/x

Solve:

Before we find the answer chart =

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20     |      ?        |    ?     |      ?      |

20 = ? / 200

? = 10

Thus,

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

~lenvy~

out of 20 blocks 15 are shaded whats is the pecentage

Answers

Answer:

75%

Step-by-step explanation:

You turn the information into a fraction which is 15/20.

20x 5= 100, and everything you do in the bottom you have to do the top and 15 times 5 is 75.

Hope it helps

2. The school play started at 8:15 P.M.
and ended at 8:56 P.M. How long
was the school play?

Answers

56 - 15 = 41min

hope it helps...!!!

Answer:

41 minutes

Step-by-step explanation:

The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)

The value of √-9 is not -3 because _____.

A. (-9)^2 ≠ -3

B. 9^2 ≠ -3

C. 3^2 ≠ -9

D. (-3)^2 ≠ -9

Answers

Answer:

option d

Step-by-step explanation:

(-3)²=9

(-3)²≠(-9)

What is the area of this figure?

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

A diesel train left Bangalore and traveled west at an average speed
of 59 km/h. A freight train left at the same time and traveled in the
opposite direction with an average speed of 67 km/h. Find the number of
hours the freight train needs to travel before the trains are 1008 km
apart.

Answers

Answer:

8

Step-by-step explanation:

we'll make x the number of hours and set up the following equation:

59km x + 67km x = 1008km

Now we solve for x(hours)

126x = 1008

x = 8

Need Help solving Please and thank you

Answers

Step-by-step explanation:

area of inner rectangle = 10*8 = 80 units^2

area of outer rectangle = 12*10 = 120 units^2

area of shaded portion = 40units^2

The ratio of length to width in a rectangle is 2:3. Find the length of the rectangle when area is 150in^3.
Show a quadratic model

Answers

Answer:

[tex]\fbox{length= 10 \: in}

[/tex]

Step-by-step explanation:

Given:

Length to Width Ratio = 2:3

Area of Rectangle= 150 in²

To find:

Length of rectangle=?

Solution:

Assume the length of rectangle is 2x

and the width of rectangle is 3x

Now,

we know that,

[tex]\sf\: Area \: of \: Rectangle = Length \times Width \\ \sf \: 150 = 2x \: \times 3x \\ \sf \: 150 =6 {x}^{2} \\ \sf \: {x}^{2} = \frac{150}{6} \\ \sf {x}^{2} = \cancel\frac{150}{6} \\\sf {x}^{2} = 25 \\\sf \sqrt{ {x}^{2} } = \sqrt{ {25} } \\ \sf \sqrt{ {x}^{2} } = \sqrt{ {5}^{2} } \\ \sf \: \fbox{x = 5 \: in}[/tex]

Substituting the value of x in assumption,

[tex] \sf \: length= 2x \\ \sf \: length= 2 \times 5 \\ \sf \: \fbox{length= 10 \: in}

[/tex]

Thanks for joining brainly community!

Reflect the given triangle over
the line y=x.

[3 6 3
-3 3 3]


Answers

If reflected over y = x

then use

[tex]\left[\begin{array}{ccc}0&1\\1&0\end{array}\right][/tex]

=====================

[tex]\left[\begin{array}{ccc}0&1\\1&0\end{array}\right] \left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right][/tex]

similar as (x, y) → (y, x)

multiply the matrixes to get the final answer

[tex]\left[\begin{array}{ccc}(3*0+1*-3)&(6*0+1*3)&(3*0+1*3)\\(3*1+(-3*0)&(1*6+0*3)&(1*3+0*3)\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right][/tex]

Answer:

[3,-3,-3] [-3,-6,3]

Step-by-step explanation:

jus got it right

A grocer sold 39 melons for $1.56 each. What was the total amount of the sale?

Answers

39x1.56= 60.84
The total amount of the sale is $60.84

What is the dividend if the quotient is 36 the divisor is 24 and the remainder is 9.​

Answers

I believe the answer is 873. You multiply 36 and 24 then add by 9 :) correct me if I’m wrong tho


A medical researcher needs 5 people to test the effectiveness of an experimental drug. If 14 people have volunteered for the test, in how many
ways can 5 people be selected?

Answers

byAnswer: doing the trials/tests

Step-by-step explanation: Learn With Brainly

What is the missing number in the following series?
12, 144, 16, ?, 20, 324

Answers

Answer:

234

Step-by-step explanation:

No idea how to do this need help.

Answers

Answer:

Hope that helps

Step-by-step explanation:

Brainliest would be much appreciated

According to a recent estimate, there are approximately 8×107
8
×
10
7
pet dogs in the United States and approximately 3×108
3
×
10
8
people. Which statement best compares these populations?

There are about 26.7 times as many pet dogs as people.

There are about 37.5 times as many people as pet dogs.

There are about 3.75 times as many people as pet dogs.

There are about 2.67 times as many pet dogs as people.

Answers

Answer:

Option C, There are about 3.75 times as many people as pet dogs

Step-by-step explanation:

Step 1:  Determine the ratio

[tex](Amount\ of\ People) / (Amount\ of\ Dogs)[/tex]

[tex](3 * 10^8) / (8 * 10^7)[/tex]

[tex]3.75[/tex]

Answer: Option C, There are about 3.75 times as many people as pet dogs

HELPPPP Me I dont KNOW HOW TO DO MATH

Answers

Step-by-step explanation:

The lines meet at (6,0)

That is the solution to the system of equations.

Use the diagram shown to answer the question.

What is the value of tan 0?

Answers

Answer:

tan is opposite over adjacent soo 12/15=4/5

Step-by-step explanation:

soo the answer is C

Shawn will build a rectangular shaped table that will have a length of 6 feet and an area of up to 78 square feet. Which inequality represents all of the possible lengths in feet of the widths, w, that Shawn can use to build the table?

A: w ≥ 84

B: w ≥ 468

C: w ≤ 13

D: w ≤ 72

Answers

It’s A because when you add the anti force to the molecular cause of the yah

Giving solver brainliest!

Answers

2y = 6 is the answer

An automobile traveled 320 miles in 6 hours. What is its average speed?

Answers

Answer:

53.3 somewhere like that

Step-by-step explanation:

The effect of pH on the action of a certain enzyme is shown on the accompanying graph what is the domain of this function
PLEASE HELP ASAP I DO GIVE OUT 200 WORTH OF POINTS ONLY IF YOUR RIGHT I DO CHECK IT PLEASE AND THANK YOU !!

Answers

Answer:

4 less (less than or Equal to) X (less than or Equal to) 13

Step-by-step explanation:

Note:-

Domain is set of x valuesRange is set of y values

Here

we can see

x goes from (4,0) to (13,0)

Hence domain

4≤x≤13

Select the correct answer.
Rewrite the following expression.

Answers

The algebraic expression [tex]x^{10/3}[/tex] is equivalent to the algebraic expression [tex]x^{3}\cdot \sqrt[3]{x}[/tex]. Thus, the right choice is option D.

How to apply power and root properties to rewrite a given expression

In this question we must apply the following set of algebraic properties to simplify a given expression:

[tex]x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}[/tex]   (1)

[tex]x^{m+n} = x^{m}\cdot x^{n}[/tex]   (2)

[tex]x^{m\cdot n} = \left(x^{m}\right)^{n} = \left(x^{n}\right)^{m}[/tex]   (3)

Where:

m, n - Exponentsx - Base

And also by apply the definition of power.

If we know that the given expression is [tex]x^{10/3}[/tex], then the equivalent expression is:

[tex]x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}[/tex]

The algebraic expression [tex]x^{10/3}[/tex] is equivalent to the algebraic expression [tex]x^{3}\cdot \sqrt[3]{x}[/tex]. Thus, the right choice is option D.

To learn more on roots, we kindly invite to check this verified question: https://brainly.com/question/1527773

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