room is 32 ft by 40 ft. She needs to make a scale of her room that is 8 in. by 10 in. What is the scale she needs to use? ​

Answer:

The length of x=3/1

Step-by-step explanation:

Given the right triangle

Ф = 30

We know that

sin Ф = opposite/hypotenuse

The opposite of angle 30° = x

The hypotenuse is = 6

so

sin 30 = opposite/hypotenuse

    1/2      = x/6           ∵ sin 30 = 1/2

     1/2 × 6 = x

     6/2 = x

       3/1 = x

Therefore, the length of x=3/1

9514 1404 393

Answer:

Step-by-step explanation:

Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...

  (27 -v +4) +2(v +4) = 43

  27 -v +4 +2v +8 = 43 . . . . eliminate parentheses

  v +39 = 43 . . . . . . . . . . . . . collect terms

  v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides

  v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age

  27 -v = 23 . . . . . Krishna's age

Vickey's age is 4; Krishna's age is 23.

Answer:

Step-by-step explanation:

reflection over y-axis

Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.

We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.

A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:

180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.

Therefore, it is a possible transformation that carries the rhombus onto itself.

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Answer:

#1: Dillon, Harry, Paul, Winston #2: B

Step-by-step explanation:

#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.

#2: Count by 10's, it's on the 50 line

Answer:

1)Dillon, Harry, Paul and Winston

2) C

Answer:

1296

Step-by-step explanation:

6x6x6x6

6^4

Answer:

6×6×6×6

Step-by-step explanation:

I hope this helps

Answer:

(x + 1)² + (y - 6)² = 50

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

The radius is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)

r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]

  = [tex]\sqrt{(-5)^2+(-5)^2}[/tex]

  = [tex]\sqrt{25+25}[/tex]

  = [tex]\sqrt{50}[/tex]

(h, k ) = (- 1, 6 ), then

(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is

(x + 1)² + (y - 6)² = 50 ← equation of circle

Answer:

-72

Step-by-step explanation:

first replace x with -12 so 5(-12)-12

then simplify which makes it -60-12

finally solve that which gives you -72

hope this helps :)

Answer:

Yes, you have enought money

Step-by-step explanation:

45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.

Answer:x<-7/3

Step-by-step explanation:

Answer: X > -7/3

Step-by-step explanation:

-3x + 8 < 15

subtract 8 from both sides

-3x < 7

divide by negative 3

Also, when dividing or multiplying by a negative you flip the sign.

x > -7/3

Answer :)

The no. of apples on the tree today

= The no. of apples on the tree yesterday - 5

Let us take 'the no. of apples on the tree today' as 'x'

and 'the no. of apples on the tree today' as 'y'

Therefore, x = y - 5

Hope this is the thing u are looking for

Answer:

5 calories per minute

Step-by-step explanation:

225÷45=5

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

just find the arithimetic sequence and count backwards have a great day

Answer:

The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Step-by-step explanation:

let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.

from the condition given in the question we can write

9x + 13y + 9z = 257 ........ (1)

4x + 6y + 4z = 116 ........... (2) and    

3x + 4y + z = 59 ......... (3)

From equation (2) we get

9x + 13.5y + 9z = 261 ....... (4) {Multiplying with  both sides}

solving equations (1) and (4) we get

0.5y = 4

and ⇒ y = 8.

from equation (2) putting the value of y we get,  

4x + 4z = 116 - 48 = 68

⇒x + z = 17 .....(5)

Now, from equation (3) putting y = 8 we get,  

3x + z = 59 - 32 = 27 ....... (6)  

hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x

⇒ 2x = 10

⇒ x = 5  

So, z = 17 - x = 12

therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.

Answer:

here you go. hope this helps!

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

7.1 yard per min

Step-by-step explanation:

The ladder were too short or too long  is p

If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.

Therefore the answer is :p

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Answer:

-1/2

Step-by-step explanation:

It’s y2 - y1 over x2-x1

- 2 - 3

— - -—-

6 - (-4)

= -5/10

= -1/2

Answer: 1/2

Step-by-step explanation:

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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]

[tex]slope = \frac{2}{ - 7} \\ [/tex]

[tex]slope = - \frac{2}{7} \\ [/tex]

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Answer:

[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]

Where (x₁,y₁) and (x₂,y₂) are the points on the line.

We are given the points (12,7) and (5,9). Therefore:

[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m=\frac{9-7}{5-12}[/tex]

Solve the numerator.

[tex]m=\frac{2}{5-12}[/tex]

Solve the denominator.

[tex]m=\frac{2}{-7}[/tex]

This fraction cannot be reduced further, so it is the answer.

The slope of the line is -2/7

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)

Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

June 7th, 1979

Step-by-step explanation:

1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.

June 7, 1979, is the earliest date. Option A is correct.

The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.

Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.

The earliest date is June 7, 1979.

Hence option A is correct.

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Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

∵speed = distance/time taken

= 100/9.83

= 10.17 m/s

Now we know, 1 km/h = 1000/3600 m/s

so, 1 m/s = 3600/1000 km/h = 18/5 km/h

∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h

Hence, average speed = 36.612 km/h

Step-by-step explanation:

Answer:

distance travelled by sprinter = 100 m

Time taken = 11.21sec

Hence, average speed = 36.612 km/h

Step-by-step explanation:

The correct format of the question is

After an​ accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the​ speed, v, in miles per​ hour, that a car was traveling by measuring the length of the skid​ marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 ​mi/h, was the car​ speeding? The speed of a car that left skid marks 118 ft long was about nothing ​mi/h.

Answer:

48.6mi/h, Yes the car was speeding.

Step-by-step explanation:

The speed of the car is given by  [tex]v=2\sqrt{5L }[/tex]

Skid length (L) = 118ft

V= [tex]2\sqrt{5*118}[/tex]

  = 2 [tex]\sqrt{590}[/tex]  

  =  2*24.3

V = 48.6mi/h

Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84