Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.

Answers

Answer 1

Answer:

The distance between Mary's house and her grandmother's house is approximately 49.73 miles.

The 3 traveled the following distances:

Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.

Step-by-step explanation:

Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.

Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that

[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]

  [tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]

Mary's route was 49.73 square miles, to sum it up.

Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]

As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.

Answer 2

Answer:

49.73

Mary, Theo, Nancy

Step-by-step explanation:

Approximately how many miles did Mary drive to her grandmother’s house?

✔ 49.73

Order the distances that each family member drove to their grandmother’s house from least to greatest.

✔ Mary, Theo, Nancy


Related Questions

please help with question 5

Answers

22 degrees

I might be wrong

Keiko uses 6.9 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer: [tex]4.14\ \text{pints}[/tex]

Step-by-step explanation:

Given

Keiko uses 6.9 Pints of blue and white paint

If the fraction of blue paint is [tex]\frac{2}{5}[/tex], then thr fraction of white paint is

[tex]1-\dfrac{2}{5}=\dfrac{3}{5}[/tex]

Amount of white paint is

[tex]\Rightarrow \dfrac{3}{5}\times 6.9=4.14\ \text{pints}[/tex]

x is 6 or less and more than – 5
A: – 5 <
x
≤ 6 B: – 5 >
x
≤ 6 C: – 5 ≤
x
≤ 6 D: – 5 <
x
< 6 E: – 5 ≤
x
< 6

Answers

Answer:

A

Step-by-step explanation:

X is 6 or less so we can start there  x≤6. X is also more than -5 so we can do that. -5<x. If we put those two together we get -5<x≤ 6.

The expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The statement of inequality is x is 6 or less and more than – 5

The inequality for x is 6 or less ,

⇒ [tex]x\leq 6[/tex]

The inequality for x is more than – 5

⇒ [tex]x > -5[/tex]

Thus x is 6 or less and more than – 5 can be written as inequality,

⇒ [tex]-5 < x\leq 6[/tex]

Hence we can conclude that the expression for the statement is option (A) [tex]-5 < x\leq 6[/tex] is the correct answer.

Learn more about inequalities here

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Three functions are shown below.
3
A: g(x) = -5x+4
B: f(x) = (x + 2)(x+6)
hix)
C:
Which statement is true?
1) B and C have the same zeros.
2) A and B have the same y-intercept.
16.
3) B has a minimum and C has a maximum.
4) Chas a maximum and A has a minimum.

Answers

Thanks, I help you get correct

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

Pete bought a house in 2009 for $200,000.
The value of his house increased by 10%
annually.

Answers

Answer:

Value of house in 2021 = $627,680 (Approx.)

Step-by-step explanation:

Given:

Value of house in 2009 = $200,000

Rate increased per year = 10% annually

Find;

Value of house in 2021

Computation:

Number of year = 2021-2009 = 12 year

Value of house in 2021 = Value of house in 2009[1+Rate increased per year]ⁿ

Value of house in 2021 = 200,000[1+10%]¹²

Value of house in 2021 = 200,000[1+0.1]¹²

Value of house in 2021 = 200,000[1.1]¹²

Value of house in 2021 = 200,000[3.1384]

Value of house in 2021 = $627,680 (Approx.)

Which expression is equivalent to 4 + 2(1 + 3x)? A 24x
B 6 + 6x
C 4 + 8x
D 6+18x



no links please​

Answers

Answer:

The answer to this is option B

Find the coordinates of point M, that partitions the directed line segment SY from S(4,2) to Y(-4,-6) in a ratio of 1/3.

Answers

Answer:

the coordinates of  point M = (2,0)

Step-by-step explanation:

Given;

point S along the segment, = S(4,2)

point Y along the segment, = Y(-4, -6)

ratio of the partition = ¹/₃

total ratio = 1 + 3 =  4

The midpoint of segment SY is calculated as follows;

[tex]mid-point (o) = \frac{x_1 + x_2}{2} ,\ \frac{y_1 + y_2}{2}\\\\ mid-point (o) = \frac{4 + (-4)}{2} , \ \frac{2+ (-6)}{y} \\\\mid-point (o) = \frac{0}{2} , \ \frac{-4}{2} \\\\mid-point (o) = (0, \ -2)[/tex]

The coordinates of point M is calculated as follows;

point M divides the segment into 4 equal parts with point O as the mid-point.

                M

S--------------|-------------------O-------------------|-------------------Y

|SO| = |OY|

[tex]The \ mid-point \ of \ SO = M\\\\Point \ S = (4,2) \\\\Point \ O = (0,-2) \\\\Point \ M = \frac{4 + 0}{2}, \frac{2 - 2}{2} \\\\ Point \ M = 2, 0 \\\\M = (2,0)[/tex]

Therefore, the coordinates of  point M = (2,0)

someone help me, graphs r shown!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

explanation:

i answered the question

btw thanks for the brainliest

what is the sum of the following equation? 8/10+60/10=

Answers

Answer:

as a mixed number it's 6 4/5

Answer:

6.8

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right

Answers

It is D)19 bc 5x3=15 then 7-3=4 so 4x1=4 now 15+4=19

Can someone help me with this question please

Answers

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

in a restaurant, 4 out of every 12 customers order orange juice with there meal. What is the experimental probability that the next customer will oder orange juice with their meal.

Answers

Answer:

1/3 or 33%

Step-by-step explanation: Its a third

Answer:

4 + 12 = 16

Step-by-step explanation:

what is the measure of angle pos​

Answers

The answer is 104°.

.. .. ..

Answer:

Step-by-step explanation:

A line is always equal to 180. So if angle POR is 76, you would do 180-76 which equals 104.

MARKING BRAINLIEST IF U HELP 19 - s = 13; s = -6 yes no question

Answers

Answer:

Step-by-step explanation:

We have the equation 19 - s = 13, and are asked to determine whether s = -6 fits in.

To solve, we need to isolate "s", do as followed and subtract 19 from both sides :

s = -6

Since this is equal to what the question is asking, yes s = -6 is correct.

A water bottle in the shape of a cylinder holds 1 litre of water when it's full. It's height is 15cm. Work out the radius of the water bottle (1litre=1000cm3)

Answers

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]

The height of the water is [tex]h=15\ cm[/tex]

The volume of the cylinder is [tex]\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia


y=x+ - 4x3
Find the two stationary points
on the graph of y=x4 - 4x3

Answers

Answer: [tex](0,0), (3,-27)[/tex]

Step-by-step explanation:

Given

Curve is [tex]y=x^4-4x^3[/tex]

The stationary point on a differentiable function is the points where the differentiation of the function is zero i.e. slope is zero at that point.

Differentiate the curve [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f'(x)=4x^3-12x^2[/tex]

Equate it to zero

[tex]\Rightarrow 4x^3-12x^2=0\\\Rightarrow 4x^2(x-3)=0\\\Rightarrow x=0,0,3[/tex]

Put [tex]x=0,3[/tex] in the function [tex]f(x)=x^4-4x^3[/tex]

[tex]\Rightarrow f(0)=0\\\Rightarrow f(3)=3^4-4(3)^3\\\Rightarrow f(3)=81-108\\\Rightarrow f(3)=-27[/tex]

Therefore, the stationary points are [tex](0,0), (3,-27)[/tex]

(Find the distance between the points A(4, 3) and B(7,-1).​

Answers

The answer to this problem is 5.

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

I WILL GIVE BRAINLIEST!! I really need help with this question.

Answers

Answer:

x = 70°, y = 110° , z = 85°

Step-by-step explanation:

∠ BEA and ∠ CDA are corresponding angles and congruent , then

x = 70°

x and y are adjacent angles and sum to 180°

x + y = 180°

70° + y = 180° ( subtract 70° from both sides )

y = 110°

∠ ABE and ∠ ACD are corresponding angles and congruent , then

z = 85°

Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers

Answers

Answer:

10 and 64.

16 and 40

Step-by-step explanation:

The product of the two numbers is equal to the product of LCM and HCF

Number 1* Number 2= LCM * HCF

Number 1* Number 2= 8*80

Number 1* Number 2= 640

Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64

so the two numbers will be 10 and 64.

Similalrly the two numbers can also be 16 and 40 and like wise.

Any number greater than 8 dividing 640 will give the second number also.

Complete the statement to write a general rule for dividing expressions with exponents.

Answers

Answer:

409

Step-by-step explanation:

I got it right on mine

Are these two angles complementary, supplementary, or neither? NEED HELP ASAP


A Complementary Angles

B Supplementary Angles

C Neither

Answers

Answer:

A Complementary Angles

Step-by-step explanation:

daniella made a table and a graph for the equation y=3x did daniella make these items correct select true statement

Answers

Answer:

B

Step-by-step explanation:

if you can see in the graph, the graph axes calculation is not the same with the one given.

During the first two weeks at his new job Damian earned a total of $500 he earned x dollars during the first week during the second week he earned 4 times as much as he did the first week. How much did Damian earn during the first week

Answers

Answer:

$100

Step-by-step explanation:

x + 4x = 500

5x = 500

x = 100

If there were 175 students in 5 buses, how many were in 1 bus?

Answers

Answer:

hi

Step-by-step explanation:

we must divide 175 to 5 then it is equal to 35

35 students in 1 bus

have a nice day

Answer:

35 students

Step-by-step explanation

Your equastion is 175 divided by 5 which equels 35.

11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?

Answers

The perimeter would be 32 units

10 + 10 + 6 + 6 = 32

The required perimeter of the rectangle is 28 units.


What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal²  [= 10² = 100]

We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100

L² = 100 - 36

L² = 64

L = 8

So the length of the rectangle is 8 units.

To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Therefore, the perimeter of the rectangle is 28 units.

Learn more about rectangles here:

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In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place?

Answers

Answer:

the 9 in the tenths place is 10 times more than the one in the hundredths place

Step-by-step explanation:

Given that

There is a number i.e. 3.9928

Here we need to compare the value of the 9 in the tenth place to the value of the 9 in the hundredth place

The 9 in the tenth place has a value of 0.9

And, The value of 9 in the hundredth place contains a value of 0.09

So,

= 0.09 ÷ 0.9

= 0.1

= 1 ÷ 10

Please please please help me

Answers

the correct answer is 17 what i did was plug in 17 where ever you see x so x2 would be 17x2 an then plus the 5 gives u 39 3x 17x3=51 51+10=61 now add the totals 61 plus 39 gives u 100

Answer:

D. 17

Step-by-step explanation:

1.  Set up an equation  (2x + 5) + (3x + 10) = 100

2.    2x + 3x= 5x   and  5 + 10 = 15

3. The equation simplified  5x + 15 = 100

4. Move the 15 to the other side of the equation.   5x = 100 - 15

5.    5x = 85

6. Finally, divide   85/5

7. Our final answer is 17.

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