To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

To Get To His Parents' House, Mateo Would Have To Drive Due North 2.1 Miles. To Get To His Grandparents'

Related Questions

Which equation is equivalent to 5= 4/3 (6y +9)?
A) 5 = 8y +3
B) 5= 8y +9
C) 5 = 8y + 12 D) 5 = 8y + 36

Answers

Answer:

option C

Step-by-step explanation:

[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]

Would a piece of wood with a mass of 25 grams and a volume of 27.3^3 float in water?

Answers

Answer:

yes because the density of water is 997kg/M3 which is greater than the wood of 508•660425kg/M3 as it's density

here density = mass *volume

d=0•025*20346•417

d=508•660425kg/M3

here mass is changed in kg and volume is assumed as m^3 because of absence of unit of volume

Solve -2y+1=y-5

Y=6

Y=-6

Y=-2

Y=3

Answers

Answer:

y=2

Step-by-step explanation:

-2y+1=y-5

Add 2y to each side

-2y+2y+1=y+2y-5

1 = 3y -5

Add 5 to each side

1+5 = 3y-5+5

6 = 3y

Divide each side by 3

6/3 = 3y/3

2 =y

Answer:

y=2

Step-by-step explanation:

Move y to the other side by subtracting by y on both sides:

-y-2y+1=y-y-5

-3y+1=-5

Move the 1 to the other side by subtracting by 1 on both sides:

-3y+1-1=-5-1

-3y=-6

Divide -3 on both sides to eliminate the -3 on y

-3y/-3=-6/-3

y=2

Create a fraction model in which the shaded part represents a fraction equivalent to 20 100 Divide the figure into the correct number of equal parts by using the More and Fewer buttons. Then shade by selecting the part or parts.​

Answers

Answer:

100/20=5. this is the answer of ur questions

A cone with a height of 15 yards has a volume of 475.17yd find the diameter of the cone

Answers

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

Just tell me the answer plz and thank you

Answers

Answer:

6 - 14t

Step-by-step explanation:

2(3-7t)

Distribute

2*3 - 2*7t

6 - 14t

Answer:

6 - 14t

Step-by-step explanation:

Please help me out whoever helps I will mark branliest

Answers

Answer:

i'm not too sure myself how to answer the problem.. but that is a translation.. A translation is just moving the shape with really changing its form or anything, just its placement

1,9,4,6,8,8 which is the median

Answers

Answer:  Median = 7

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

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

---------------

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

What is the length of the missing leg?

Answers

Answer:

41

Step-by-step explanation:

This is the formula

a^2 + b^2 = c^2

35^2 + 21^2 = 1666

√1666 = 40.81...

Maybe you can estimate it to 41.

answer:

a = 28 millimeters

step-by-step explanation:

since this is a right triangle, we can use the pythagorean theorem a^2 + b^2 = c^2

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 millimeters

Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks

Answers

y = 248 - 2x

good luck :))))

please answer all questions, that k you!!!​

Answers

Answer:

In each case, translate the words into numbers and operations.

1. 2x - 10

2. 3/4 x

3. 7x

4. 16/x

5. 10n - 12

6. 50n

7. n - 4

8. n/8

9. 2/3 x

10. 5n - 10

if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta ​

Answers

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

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

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

14.How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5
km/hr2?

Answers

Answer:

8.8

Step-by-step explanation:

giving brainliest to the correct answer !

which product is negative?

• (-3/8)(-5/7)(1/4)
• (3/8)(-5/7)(-1/4)
• (3/8)(5/7)(1/4)
• (-3/8)(-5/7)(-1/4)

Answers

Answer:

33333333333333333333333333333333333333333

Step-by-step explanation:3333333333333333333333333333333333333333

(-3/8)(-5/7)(-1/4) is negative.

Kyle pours 3/4 liter of a liquid from a beaker. Then he puts another 1/2 liter of liquid. What is the overall change in the amount of liquid in the beaker

Answers

Answer:

1 and 1/4

Step-by-step explanation:

add 3/4 and 1/2, divide 1/2 into 2/4 and when you add 2/4 to 3/4 you have an extra quarter. therefor you have 4/4 and 1/4 which is 1 and 1/4.

hope this helps <3

Answer:

[tex]1\frac{1}{4}[/tex]

Step-by-step explanation:

Step 1: Add the given values (Since we don't know the original amount and we are given the amount of which is changed with, we need to add those amounts together to know by how much the liquid beaker changed.)

[tex]\frac{3}{4} = 0.75\\\\\frac{1}{2} = 0.5\\\\0.5 + 0.75 = 1.25\\\\\frac{3}{4} + \frac{1}{2} = 1\frac{1}{4}[/tex]

Therefore, the overall change in the amount of liquid in the beaker is [tex]1\frac{1}{4}[/tex] liters.

A 16-oz bottle of waler costs $2.88. What is the
cost per ounce?

Answers

Answer:

18 cents per ounce

Step-by-step explanation:

Take the total cost and divide by the number of ounces

2.88 /16 =.18

18 cents per ounce

Answer:

.18

Step-by-step explanation:

2.88/16=.18

A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.

_______ miles in one hour

Answers

Answer:

About 64 Miles

Step-by-step explanation:

I think you just divide the miles by minutes which is about 1.06 then x 60 = 64

a=1.34,b=0.273,c=3.3548
a×b

Answers

Answer:

0.36582

Step-by-step explanation:

(a×b)

= (1.34×0.273)

= 0.36582

Can someone help me p

Answers

Answer:

(3.5, -2)

Step-by-step explanation:

that point is where the edge if the rectangle is

ABCD and its image A'B'C'D' in the plane are shown. Which statements describe the type of transformation that occurred?

Answers

I think it’s rotation

0.6×8 and tell me how you got the answer pls
[tex]0.6 \times 8[/tex]

Answers

Answer:

4.8 is the answer!

Step-by-step explanation:

0.6 x 8 = 4.8

6 x 8 = 48

multiply 6 by 8, and move the decimal to the left one time, and get 4.8

Answer: 4.8

Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back

48.0 (this is before you move the point)

4.8 (this is after)

basically depending on how much numbers you have after the decimal point, that's how much you move forward!

Let me know if you have more questions!

Good luck!

What is the value of f(x) when x = -1
f(x) = 2* + 5

Answers

Do you still need any help??

Help please, it’s multiple choice!

Answers

Answer:

60°

Step-by-step explanation:

Answer:

A) 60

Step-by-step explanation:

Each Angle in a hexagon equals 120

X is supplementary to one of those angels, therefore 180-120 = 60

An aquarium holds 11.13 cubic feet of water, and is 2.6 feet long and 1.9 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

How do you find the area of a circle???

Answers

Answer:

The area of a circle is pi times the radius squared.

[tex]A=\pi r^2[/tex]

-----------------------

hope it helps...

have a great day!!

Calculate the area of the parallelogram

Answers

Answer:

28 square inches

Step-by-step explanation:

Area = b * h

To find the height, you first have to solve the triangle.

[tex]a^{2} +b^{2} =c^{2} \\\\3^{2} +h^{2} =5^{2} \\h^{2} =5^{2} -3^{2} \\h=4[/tex]

Now use that for your area

Area = 7 * 4

Answer-21 square inches

Express tan W as a fraction in simplest terms.
U
W
24
6

Answers

Answer:

The simplest terms is, tan W=4.

Explanation:

Definition of trigonometry:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, [tex]tan[/tex]θ [tex]=\frac{opposite}{adjacent}[/tex]

According to the question:

[tex]tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4[/tex]

Hence,  The simplest form of tan W is 4.

To know more about trigonometry here, https://brainly.com/question/24349828

#SPJ2

Talia was born in 2003. What would be her predicted life expectancy? Show how you found this answer.

Is your answer interpolation or extrapolation of the data? Explain your reasoning.

Answers

just want the points byeeeeee hope u pass

Help plz..And No links!! I repeat No links!!

Answers

Answer:

402.124

Step-by-step explanation:

2pirL = 2 x π x 8 x 8

Answer: 804.08

Step-by-step explanation:

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2008, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2016, rounded to the nearest whole number.​

Answers

Answer:

Step-by-step explanation:

If you don't know how to use your calculator to find a regression equation, that is much too much to try and teach you in a forum such as this (it takes all hour to teach Algebra 2 students during the school year and they are sitting in class watching a demonstration!). I entered the data in my calculator and got the equation to be

y = 18.9x + 850 with a correlation coefficient of only .8 so this is not a very good model for this data anyway. However, we will proceed with the question as it asks. Year 0 is 2008, so the year in question, 2016, is year 8. We fill in the model with 8 for x and solve for y, the cases in NY of crime in that year:

y = 18.9(8) + 850 and

y = 151.2 + 850 so

y = 1001 cases of crime

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