Trey left his house on his bike and rode 6 miles north, rested then rode 8 miles east. How far is he from his house?

Answers

Answer 1
He would be 10 miles away from his home. If you draw out the figure, you will get a triangle with bases 6 and 8. Using the Pythagorean theorem, you get 6 squared plus 8 squared equals the distance squared. That’s 36+64=100, square root of that is 10 which is your answer :)
Answer 2

Answer:

10

Step-by-step explanation:


Related Questions

What is the range of the given function?

Answers

Answer:

you have it on the correct answer

Step-by-step explanation:

range is the y values, and its the lowest negetive to the highest positive

i need all the questions and where is says to explain I need you to explain, it's pythagorean theorem, plsssss help me

Answers

Answer:

Step-by-step explanation:

sams house=6 miles east and 9 mies south

let the distance towards east be a and distance towards south be b

so we have to find straight line distance from sams house to amys house .let it be c(or hypotenuse)

according to the pythagors theorem

a^2 + b^2 =c^2

6^2 + 9^2 =c^2

36 + 91 =c^2

117 =c^2

[tex]\sqrt{117[/tex] =c

10.8=c

the two coordinate points are

(4,12)=(x1 , y1)

(6,2)=(x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(6-4)^2 + (2-12)^2}[/tex]

=[tex]\sqrt{2^2 + (-10)^2}[/tex]

=[tex]\sqrt{4 + 100}[/tex]

=[tex]\sqrt{104}[/tex]

=2[tex]\sqrt{26}[/tex]

=10.1 units

fairy travels=10.1 * 2

=20.2 miles

three sides are 17,8,15

according to the pythagoras theorem

to be right angles triangle square of hypotenuse(longest side) must equal to the sum of square of two other smaller sides

so here 17 is longest and 8 and 15 are two other smaller sides of a triangle

17^2=8^2 + 15^2

289=64 + 225

289=289

since both sides are equal it can be concluded that they form a right angled triangle.

Hope this helps u!!

Answer:

1. option b : 10.8 miles

2. Distance = 10.2 units

   Distance in miles = 20.4 miles

3. Paulie is correct because the measurements satisfies Pythagoras                theorem.

Step-by-step explanation:

1. option b

Let straight line length be x

x² = 6² + 9²

  = 36 + 81

  = 117

x = 10.8 miles

2.

Current location ( 4 , 12 )

 Destination ( 6, 2 )

a)

[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\\\[/tex]

             [tex]= \sqrt{(4 - 6)^2 + (12 - 2)^2} \\\\= \sqrt{2^2 + 10^2}\\\\=\sqrt{104}\\\\=10.2 \ units[/tex]

b)

Grid (units)     Distance( miles)

   1                     2

  10.2                 x

[tex]\frac{1}{10.2} = \frac{2}{x}\\\\x = 2 \times 10.2\\x = 20.4 \ miles[/tex]

3.

a)

Square of Longer side = sum of squares of other sides

[tex]17^2 = 8 ^2 + 15^2 \\289 = 64 + 225\\289 = 289 \\[/tex]

Yes, Paulie is Correct.

b)

Paulie is correct because the measurements of the sides of triangle satisfies Pythagoras theorem.

Pythagoras' theorem states that for all right-angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?

Answers

Answer: 128 cubes

Step-by-step explanation:The dimension of the rectangular prism is not given, assumed not important.

Find the volume of 1 cube:

Volume = 1/4 x 1/4 x 1/4

Volume = 1/64 units³

Find the number of cubes that can go into the prism:

Number of cubes = 2 ÷ 1/64

Number of cubes = 128

1. Romero's Gas-n-Go buys their gas for $1.50 per gollon and marks it up 80%
What is the sale price of Romero's Gas

Answers

the answer is $2.7 per gallon

Answer:

The answer is $2.7

Step-by-step explanation:

Which is a better estimate for the length of an almond?

a. 3 meters b. 3 centimeters

Answers

Answer:

3 centimeters

Step-by-step explanation:

nope

Answer:

[tex]B[/tex]

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars,of the item.Expression A: Expression B: Expression C: Expression D: Expression E: Which two expressions each represent the sale price of the item?AExpression A and Expression EBExpression B and Expression CCExpression B and Expression DDExpression C and Expression D

Answers

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8

Answers

Answer:

C

Step-by-step explanation:

4xy=4y

since each friend must get at least a cupcake, 4y must be larger than 8

Kelli buys a new backpack for $35. There is a 20% discount and a 7% tax. What will be the final cost of the backpack?

Answers

Answer:

29.96

Step-by-step explanation:

First find the discount

35 * 20 %

35*.2

7

Subtract the discount from the price

35-7

28

Now find the tax on the new price

28* 7%

28 *.07

1.96

Add the tax to the new price

28+1.96

29.96

algebra
huh still difficult and will always be.
Someone just...…..
please help me to figure out this

Answers

Answer:

[tex]z = 6[/tex]

Step-by-step explanation:

Let's solve:

[tex]5(z+1)=3(z+2)+11[/tex]

Step 1: Simplify both sides of the equation.

[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\

5z+5=3z+6+11 \\

5z+5=(3z)+(6+11)(Combine Like Terms) \\

5z+5=3z+17 \\

5z+5=3z+17[/tex]

Step 2: Subtract 3z from both sides.

[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]

Step 3: Subtract 5 from both sides.

[tex]2z+5−5=17−5 \\ 2z=12[/tex]

Step 4: Divide both sides by 2.

[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]

A triangle has side lengths of (5.5x + 6.2y) cm, (4.3x + 8.3z) cm, and (1.6z - 5.1y) cm. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

9.8x+1.1y+9.9z

Step-by-step explanation:

Hi there!

Perimeter = Sum of all sides

[tex]P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z - 5.1y)[/tex]

Open up the parentheses

[tex]P=5.5x+6.2y+4.3x+8.3z+1.6z-5.1y[/tex]

Combine like terms

[tex]P=5.5x+4.3x+6.2y-5.1y+8.3z+1.6z\\P=9.8x+1.1y+9.9z[/tex]

Therefore, the expression 9.8x+1.1y+9.9z (cm) best represents the perimeter of the triangle.

I hope this helps!

Answer:

answer is c

Step-by-step explanation:

What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)

Answers

Answer:

I believe the Answer is B

Answer:

B. evaporation

Step-by-step explanation:

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)

Answers

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

please help me solve

please show how you got the answer

Answers

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

8 1/3% as a common fraction.

Answers

Answer:

[tex]\frac{27}{100}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{81}{3}%[/tex]%

Now

It can be written as:

[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%

27%=[tex]\frac{27}{100}[/tex]

Therefore, common fraction will be [tex]\frac{27}{100}[/tex]

Answer:

2500/3

Step-by-step explanation:

[tex]8\frac{1}{3}[/tex] %

=(8*3+1/3) %

=25/3 %

=25/3 / 100

=25/3 *100/1

=2500/3

There were 14 dogs adopted from the animal shelter last week. This week, 8 dogs were adopted .There are 5 dogs left. How many dogs, d, did the shelter have for adoption?

Answers

Answer:

d=27

Step-by-step explanation:

A total of 14+8=22 dogs were adopted. Since there are 5 left, there were 22+5=27 dogs up for adoption.

Use a graph to tell whether the ordered pairs represent a linear function, an exponential
function, or a quadratic function.
(-2, 2), (-1, 5), (0, 3), (1, 1) (2, 3)

Answers

Answer: exponential  function

Step-by-step explanation:

Graph it.

You will see that the ordered pairs make the shape of a sideways "S."

Linear functions are straight lines and quadratic functions are "U" or upside-down "U" shaped curves. Exponential functions can have multiple curves like including a sideways "S" shape, so it is exponential.

2. What is the equation of the line that passes
through the point (4. – 5) and has slope

Answers

Answer:

D. y = 1/2x - 7

Step-by-step explanation:

y = 1/2x + b

-5 = 1/2(4) + b

-5 = 2 + b

-7 = b

A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?

a rectangle with one side against a vertical line

solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone

Answers

Answer:

Preetyy sure its D

Step-by-step explanation:

Its not a hollow cylinder

The resulting object will be a solid cylinder. Then the correct option is A.

What is a solid revolution?

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.

Then the resulting object will be

If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.

The diagram is shown below.

Learn more about solid of revolution here:

https://brainly.com/question/338504

#SPJ2

If a = 22 ft, b = 34 ft, and c = 36 ft, what is the area of the backyard?

Answers

Answer:

363

Step-by-step explanation:

by rounding to 1 significant figure estimate 8.31÷1.87​

Answers

Answer:

4

Step-by-step explanation:

put into calculator

The required rounding of the number 8.31 ÷ 1.87 is 4.4.


Given that,

To find the simplified value for 8.31÷1.87.

What is a recurring decimal?

A recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,
8.31÷1.87 = 4.444
Where 4 is a repeating decimal so the round to 1 decimal point is 4.4

Thus, the required rounding of the number 8.31 ÷ 1.87 is 4.4.

For more information about recurring decimals check it out here:

brainly.com/question/820308

#SPJ5

The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.

Answers

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\dfrac{15}{8}
8
15

start fraction, 15, divided by, 8, end fraction

(Choice B)
B
\dfrac{8}{17}
17
8

start fraction, 8, divided by, 17, end fraction

(Choice C)
C
\dfrac{8}{15}
15
8

start fraction, 8, divided by, 15, end fraction

(Choice D)
D
\dfrac{15}{17}
17
15

start fraction, 15, divided by, 17, end fraction

Answers

Answer:

Its 15/17

Step-by-step explanation:

I did it on Khan

Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.

How to Apply the Sine Ratio?

Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.

Given the following:

Opposite side = 15Hypotenuse = 17

Applying the sine ratio, we have:

sin β = 15/17

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ6

I've been learning this but I don't remember how to find x?

Answers

Answer:56 degrees

Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.

Answer:

the answer is x = 56 degrees

and your not finding the side lengths

Step-by-step explanation:

there is 2 62 degrees,

meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either

so x = 56

Mr Kent sells calculators for $35 each. If an order is placed from a business account, there is a $50 shipping fee, and no fewer than 100 calculators can be purchased. Which is a reasonable amount of money that a business would spend when ordering calculators?

Answers

Answer:

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

[tex]c=\$50[/tex] ---- shipping fee

[tex]r =\$35[/tex] --- unit selling price

[tex]n \to[/tex] number of orders

[tex]n \ge 100[/tex] ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

[tex]f(n) = r * n + c[/tex]

This gives:

[tex]f(n)=35 * n + 50[/tex]

[tex]f(n)=35n + 50[/tex]

Recall that the domain is: [tex]n \ge 100[/tex]

So, we have:

[tex]f(n)=35n + 50[/tex]   [tex]n \ge 100[/tex]

The reasonable amount of order implies that we calculate the range of the function

[tex]n \ge 100[/tex] implies that the minimum is 100

So:

Substitute 100 for n in [tex]f(n)=35n + 50[/tex]

[tex]f(100) = 35 * 100+50[/tex]

[tex]f(100) = 3500+50[/tex]

[tex]f(100) = 3550[/tex]

So, the range of the function is:

[tex]3550 \le f(n) < \infty[/tex]

The length of a rectangle is three times its width.
The perimeter of the rectangle is 96 cm.
Label the diagram with the correct length and width for the rectangle

cm
cm

Answers

96 divided by 4 is 24
3times 24 is72
And 72 is 3 times 24
And 72plus 24 is 96
So your answer is length 72
Wide24

The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning

Answers

Answer:20 hours


Half of $2500 is $1500 and if you work 40 hours and get $2500 when you work 20 hours you get $1500.

Can someone help me? It's urgent and thank you!

Answers

Answer:

d = 6

Step-by-step explanation:

Since the line is horizontal then the distance from B to C is the distance between the x- coordinates.

d = | - 3 - 3 | = | - 6 | = | 6 | = 6

Answer:

option C

Step-by-step explanation:

[tex]distance, d = \sqrt{(x_B- x_C)^2 + (y_B - y_C)^2}[/tex]

               [tex]=\sqrt{(-3 -3)^2 + (6 - 6)^2 }\\\\=\sqrt{(-6)^2 + 0 }\\\\=\sqrt{36}\\\\= 6[/tex]

What is the reference angle for 5pi over 3?
a. pi over 6
b. pi over 3
c. 2pi over 3

Answers

Answer:

b. pi over 3 ig~~~~~~~~~~~~~~~

Answer:

(b) pi over 3 is correct

Step-by-step explanation:

EDGE 2022

Does the equation y = x(x - 3) represent a linear function

Answers

Answer:

No

Step-by-step explanation:

No. You can see why if you remove the brackets.

y=x^2 - 3x.

A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5

x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.

If -10x – 9y = -7 is a true equation, what would be the value of
-30x – 27y?

Answers

Answer:

-30x-27y = -21

Step-by-step explanation:

We know that;

-30x-27y = 3(-10x-9y)

Recall, -10x-9y = -7

Thus; -30x-27y = 3(-7) = -21

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