1.Morgan drives 24 miles due north, then drives 7 miles due east from home to work. What is the distance between Morgan’s home and work, measured in a straight line?

2. Hailey is flying a kite on a string 25m long. The kite is directly above Cassi who is 15m from Hailey. How high is the kite above the ground?

Use the Pythagorean theorem to solve each problem. Show Calculations.

Answers

Answer 1

Answer:

1) 25 miles

2) 20 m

Step-by-step explanation:

Number 1 is going to be

[tex]a^{2} + b^{2} = c^{2}[/tex] because it's a right triangle

So

[tex]24^{2}[/tex] + [tex]7^{2}[/tex] = [tex]c^{2}[/tex]

625 = [tex]c^{2}[/tex]

c = 25 mile

Number 2 uses the same process, but changing to using C instead of A

a^2 = c^2 - b^2

a^2 = 625 - 225

a = \sqrt(400)

a = 20m


Related Questions

What is the value of the expression below when x=3?
4x + 1

Answers

Answer:

13

Step-by-step explanation:

plug in 3 for x

4(3)+1 = 13

Answer:

15x

Step-by-step explanation:


What is the altitude of an equilateral triangle that has sides of length 40 cm?

Answers

Answer:

Step-by-step explanation:

5(6-3)+2
A) -29
B) -13
C) 17
D) 25
E) 29

Answers

Answer: 17

Step-by-step explanation:

Answer:

C=17

Step-by-step explanation:

PEMDAS

5(6-3)+2=

5(3)+2=

15+2=

17

9 ounces = how many pounds? in fraction form

Answers

Answer:

9/16 pounds

Step-by-step explanation:

1 pound = 16 ounces

With this information, we have make a proportion to find the number of pounds 9 ounces is

Let p = the number of pounds

16/1 = 9/p

Multiply both sides by 1 to get

16 = 9/p

Multiply both sides by p

16p = 9

Divide both sides by 16

p = 9/16

This fraction is in its simplest form and can't be simplified any more.

Answer:

9/16 is the answer brainliests

Step-by-step explanation:

During the Lantern Festival, the Chinese store sells lanterns for $ 8.88 each, including tax. The shop received a total of $106.56 from the sales of lantern one night. Write an equation that can be used to determine the number of lanterns, x, sold by the Chinese store that night. How many lanterns was sold?

Answers

Answer:

12 Lanterns.

Step-by-step explanation:

To find how many they sold in one night, divide 106.56 by 8.88 and you get 12.

John is a furniture maker. The graph shows the number of chairs John makes and the time it takes to make that many chairs. How many hours
will it take for John to make 30 chairs?
OA
between 1 and 2 hours
OB.
between 2 and 3 hours
OC. between 3 and 4 hours
OD
between 4 and 5 hours

Answers

I would suggest It’s either 3 and 4

Answer:

between for and five hours

Step-by-step explanation:

Help 7th grader :) plzzz :3

Answers

30/12 is 2.5
The scale factor is 2.5
16x2.5 is 40
Side PQ is 40 inches

Please help.
Algebra.

Answers

-2 because two negatives equals a positive and -2 x -3 = 6 :)

Answer:

r= -3

Step-by-step explanation:

Split £99 in the ratio 1:8

Answers

Answer:

Step-by-step explanation:

https://math.icalculator.info/ratio-divider-calculator.html

11:88

total parts is 8+1 so 9
99/9 = 11 so 1 part = £11
then multiply by the ratio which gives you the answer

Solve the system by substitution.
y= -6x
y= -4x+4

Answers

Answer:

x=-2 y=12

Step-by-step explanation:

Please help and please I need help:)

Answers

Answer:

16 eighteenths

Step-by-step explanation:

Answer:

16 eighteens fit into [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...

[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]

Which equations are equivalent to -1/4(x)+3/4=12? Select all that apply.

(-4x/1)+3/4=12

-1(x/4)+3/4=12

-x+3/4=12

1/4(x+3)=12

(-x/4)+3/4=12



HELP

Answers

Answer:

B and E

Step-by-step explanation:

B,C,E

is the full answer

Jaden buys 4 pounds of apples for $7.44 . What was the cost per pound .

Answers

Answer:
$1.86 per pound

Explanation:
7.44 ÷ 4 = $1.86

1.86 x 4 = $7.44

Answer:  It cost  $1.86 per pound.

Step-by-step explanation:

To find the cost per pound, divide the  cost by the number of apples.

7.44 / 4 = 1.86

What times 7 will get me to 38?

Answers

There are 5 times 7 in 38 easy you can search it up and it gives you the answer right away

Answer:

5.428571428571429

Step-by-step explanation: just do 38 divided by 7 on a calculator

⅘ divided by 2/12 = help plz

Answers

Answer:

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

Step-by-step explanation:

what is the answer to f(x) = x + 7?

Answers

Answer:

-7

Step-by-step explanation:

I'm guessing y=0

0=x+7

-7=x

Help me I will mark brainliest ..........

Answers

Answer:

Step-by-step explanation:

HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.

Answers

A. Multiply the 2 numbers.

Polygon abcd is rotated 90 degrees counterclockwise about the orgin to create polygon a b c d , match each set of cordinates to the vertices of polygon a b c d

Answers

Answer:

A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.

Rotation is the turning of an object about a point. If a point A(x, y) is rotated 90 degrees counterclockwise about the origin, the new point would be A'(-y, x)

From the image attached, the coordinates of polygon ABCD is A(1, 1), B(1, 2), C(2, 2), D(3, 1). If polygon ABCD is rotated 90 degrees counterclockwise about the origin, the new vertices would be at A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).

X-3+7(x + 3) - 3x – 12

Can someone simplify it or expand it please I need it in like 5 mins !

Answers

Answer:

5x+6

Step-by-step explanation:

x-3+7x+21-3x-12

5x+6

[tex] =\tt x - 3 + 7(x + 3) - 3x - 12[/tex]

[tex] =\tt x - 3 + 7x + 21 - 3x - 12[/tex]

[tex] =\tt 7x + x - 3x - 3 - 12 + 21[/tex]

[tex] =\tt 8x - 3x - 15 + 21[/tex]

[tex] \color{plum}=\tt\bold{ 5x + 6}[/tex]

▪︎Therefore :

[tex]\color{hotpink} =\tt x - 3 + 7(x + 3) - 3x - 12 \color{plum}=\tt\bold{ 5x + 6}[/tex]

PLS HELP I DONT UNDERSTAND MATH

Answers

1. no

2. No ecause 15 +x or 5  is 20 + the x 20x and its for x even if the 5 was a negetive

A scale drawing of Jack's living room is shown below:

A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm.
If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room? (5 points)

Length = 11 feet, width = 9 feet
Length = 30 feet, width = 20 feet
Length = 8 feet, width = 12 feet
Length = 22 feet, width = 20 feet

Answers

Answer:

Length = 30 feet, width = 20 feet

Step-by-step explanation:

if you need a explanation just tell me

Please help
This locus on mathswach

Answers

Answer: Mark on the 1.5 cm line that collides a and B’s circles.

Step-by-step explanation:

How is the formula to find the slope between any two points the same as rise/run?

Answers

Answer:

because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly

Step-by-step explanation:

Answer this correct and you are a true legend 9 + 10 = ? ...

Answers

Answer:

AcORdinG To MY CaLCulAtIoNS ItS 21

Step-by-step explanation:

Logic :)

Solve for c 4(3+c)+c=c+4

Answers

Answer:

c= -2

Step-by-step explanation:

What is CD equaled to ?

Answers

Answer:

10

Step-by-step explanation:

cd being the longer segment is equal to 2/3s of 15.

Answer:

C D equals 6 So your answer is =6

Step-by-step explanation:

A U.S. penny has a mass of 2.5 grams. A U.S. quarter has a mass of 5.67 grams. What is the total mass of the two coins?

Answers

8.17 g because you add them together

There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?

Answers

Answer:

500 bricks.

Step-by-step explanation:

There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?

To solve e the above question, we have:

20 feet high = 250 bricks

40 feet high = x bricks

Cross Multiply

20 feet × x bricks = 40 feet × 250 bricks

x bricks = 40 feet × 250 bricks/20 feet

x bricks = 500 bricks

Therefore, 500 bricks will be used to build a wall is 40 feet high.

Please help, past due.

Answers

Answer:

this figure is straight line angle is 180°.

angle rps+ angle qpr= angle qps

6x+11°+7x+143°=180°

13x+154°=180°

13x=180°-154°

13x=26

x=26/13

x=2

angle rps is 6x+11

6×2+11

23°

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