You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer 1

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

Answer 2

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

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Related Questions

3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?​

Answers

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

Please help me I need help with solving this equation worth 30 points

Answers

Answer:

1. -20

2. 27

3. 36

4. -200

The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other

Answers

Answer:

It should be A & D

Step-by-step explanation:

These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.

math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together

Answers

Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.

Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.

The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.

Answers

Answer:

At 0 hours, there are 100 grams of the substance remaining.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I just did it on ed

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.

Answers

The residual column is given by the difference between the given values

and the values from the fitted line.

The values of a and b are; a = -0.4 and b = 0.18

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

a = -0.4

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

b = 0.18

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brian says that 8n+2=82 when n=1 explain why he is incorrect

Answers

The answer is 83 because n=1 so 80+2=82+1=83

7x+20=7x+20
help asap
step by step please

Answers

Answer:

The given equation is true for all x.

Step-by-step explanation:

Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help

Answers

Answer:

x=9

y=4

Step-by-step explanation:

2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.

Answers

A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.

We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.

So we are missing that sides MU and NU are congruent.

For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.

We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.

What is the slope of the line shown in the graph?

Answers

Answer:

-3/2

Step-by-step explanation:

A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor

Answers

Answer:

125 square tiles

Step-by-step explanation:

(800*10)/8^2=8000/64=125

please help me its easy ​

Answers

Answer: 31.6

Step-by-step explanation:

The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.

Answers

Answer: 21120 feet.

Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.

The distance travelled by sound in 20 seconds is 21120 feet.

What is speed?

In unit time the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 720 miles per hour.

According to given condition,

1 hour = 720 miles

Since, 1 hour = 60 minutes

60 minutes = 720 miles

1 minute = 12 miles.

1 minute = 60 seconds

60 second = 12 miles

1 second = 12 / 60  = 1/5 miles

20 second = 20 / 5 = 4 miles

According to given condition,

1 mile = 5280 feet

Therefore,

20 second = 5280 x 4 = 21120 feet

The distance travelled in 20 seconds is 21120 feet.

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kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade

Answers

Answer:

33 cars please give Brainliest

Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.

Answers

The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

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What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?

Answers

Answer:

x=5

Step-by-step explanation:

I took the test. Hope this helps

The solution of the given equation is when the x = 5.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}

First, substitute the values from the given set;

When x = -1

1/4x−3/4=1/2

1/4(-1) − 3/4 = 1/2

-1/4 - 3/4 = 1/2

-4/4 = 1/2

-1= 1/2

This is not the solution to the given equation.

When x = 1

1/4x−3/4=1/2

1/4(1) − 3/4 = 1/2

1/4 - 3/4 = 1/2

-2/4 = 1/2

-1/2 = 1/2

This is not the solution to the given equation.

When x = 5

1/4x−3/4=1/2

1/4(5) − 3/4 = 1/2

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

This is the solution to the given equation.

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How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3

Please answer !

Answers

you tried plugging in 3 for J on both sides of the equation

At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.

Answers

Answer:

2/3

Step-by-step explanation:

4 cats / 6 dogs  = 2/3

simplify by dividing by 2

4:6

2:3

2/3

Find the GCD (or HCF) of numerator and denominator. GCD of 6 and 4 is 2.

6 ÷ 24 ÷ 2.

Reduced fraction: 32. Therefore, 6/4 simplified to lowest terms is 3/2.

since you’re wanting cats to dogs, just flip it

I am stuck. The screenshot will explain

Answers

Add the first expression
0.2+0.05=0.25
Multiply the second expression
0.2x0.05=0.010
Divide the results by each other
0.25/0.010
Get your answer
25

Hope this helps!

How to reduce decimals to fractions.

Answers

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

pleaseeeeeeeeee helppppppppp meeeeeeeeeee

Answers

Answers:

FunctionNot a functionFunctionNot a function

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

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?​

Answers

The answer is most likely to be 8.

Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?

Answers

Answer:

  Q = (-2.5, -3), quadrant 3

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

  Q = (-2.5, -3)

With two negative coordinates, point Q is in Quadrant III.

_____

Additional comment

Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.

Solve for x.

45(x−310)=−214

Enter your answer as a mixed number in simplest form in the box.
x =

Answers

305 11/45

Step by step explanation

The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=[tex]305\frac{11}{45}[/tex]

Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

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x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120

Factor completely given the following factors: (x+5) and (x+3)

There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps

Answers

Answer:

(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized  and the 2 trinomials is underlined

Step-by-step explanation:

7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---

Answers

Answer:

a. n=6

b. n = 4

c. n =2

d. n = 11 ÷ 5

e. n = 10

f. 20

Step-by-step explanation:

a. 5n = 30

n=30÷5

n=6

b. 3n-1 = 11

3n= 11 + 1

n = 12 ÷3

n=4

c. 4n + 7 = 15

4n = 15 - 7

n = 8 ÷ 4

n = 2

d. 5n = 11

n = 11 ÷ 5

e. 4 + n = 40

n = 40 - 4

n = 10

f. 5 + 15 = 20

The sum of two numbers is 91 the difference of the two numbers is 67 what are the two numbers let x be the larger number and y be the smaller number

Answers

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

Answer these questions

Answers

Answer:

y = 5

Step-by-step explanation:

first you subtract 5y from itself and from 7y

then you'll get: 2y + 2 < 12

then subtract the 2 from itself and from the 12

that will give you: 2y < 10

then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2

that'll give you y = 5

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?​

Answers

Answer:

16

Step-by-step explanation:

Because 25 - 9 = 16

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