The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

9514 1404 393

Answer:

  7.5 m

Step-by-step explanation:

The cosine relation applies.

  Cos = Adjacent/Hypotenuse

  cos(60°) = (distance to wall)/(15 m)

  distance to wall = (15 m)cos(60°) = (15 m)(1/2) = 7.5 m

The foot of the ladder is 7.5 m from the wall.

Answer: divide by 100 is .0937

Step-by-step explanation:

Answer:

x ≥ -1

y < 3

Step-by-step explanation:

Answer:

Inequality 1: x ≽-1

Inequality 2: x ≼ 3

Answer:

B

Step-by-step explanation:

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

Answer:

sin23= x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

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Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

Answer:

D= It is the total number of data points in the data set, which is also the sum of the row totals or the column totals.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x3=9

21/9= 3

Answer:

this is the answer r≈19.42in

because you radius with a circumference of 122in

and that's your answer

Step-by-step explanation:

hope it works

Answer:

y= -10

Step-by-step explanation:

y=6(-3)+8

y=-18+8

y= -10

Answer:

18 More Minutes

Step-by-step explanation:

Hi,

I think I can help.

What I would first do here is try to find the value of 10% relative to the 12 minutes. If we find what 10% is we can multiply that to get 100% to find the total amount of minutes he wants to study. We can then subtract the time already studied to find our answer.

To do this we want to take the 40% we have and find 10. We can do 40/4 to find this since 40 divided by 4 is actually 10.

But if we do this we also have to do with to the number it is relating to / representing. Which is 12. (12 minutes = 40%)

So we can do :

40 / 4

=

10%

Also

12 / 4

=

3

So with this we can conclude that 10% of his total time is 3 minutes.

Now lets multiply this by 10 to get the 100% we are looking for so we can get the total amount of time he spent studying.

So :

10% x 10

=

100%

3 x 10

=

30 minutes

So his total time is 30 minutes of studying, but we have to find how many more minutes after his 12.

We can now simply take the total time and take off the time spent already to find this answer :

30 - 12

=

18 minutes

That is your answer, he needs to study 18 more minutes.

I hope this helps!

If you have any questions or concerns please comment or message me! :)

Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8

2.) DIvide 6.4 on both sides making it X=7

Answer:

y = 4x - 3

Step-by-step explanation:

The equation for a line is y = mx +c

We need to find m which is the gradient:

To do this pick any two coordinates on the line:

(1, 1) and (2, 5)

Next divide the difference of the y coordinates by the difference of the x coordinates:

5 - 1 / 2 - 1

= 4/1 = 4

so our gradient is 4

We'd write that as y = 4x + c

Next we need to find c which is the y-intercept

To do this just simply look for where the line crosses the y-axis

This is -3

So we'd write that as y = 4x - 3

Hope this helps :)

Answer:

y=4x-3

Step-by-step explanation:

it wewnt up 4

the baby value/y interseption was -3

Answer:

Step-by-step explanation:

Im going to assume they want x+108.

You have 2 expressions sitting on a line, so when added to each other they must = 180

So add and set up an equality

x+108+x+78=180

Combine like terms

2x+186=180

Solve

2x+186=180

    -180    -180

2x+6=0

-6       -6

2x=-6

________

2

x=-3

Substitute X for -3

-3+108=

105.  

First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5

The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.

If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.

Thus, y = -0.5x + 4 would be our equation.

Answer:

Step-by-step explanation:

An improper fraction is a fraction that the numerator is greater than the denominator. As for a mixed fraction, that is a whole number with a fraction next to it.

Answer:

q=-14

Step-by-step explanation:

Answer:

4.3

Step-by-step explanation:

Add the numbers and divide by 2 , finding the average, that is

middle number = [tex]\frac{1.5+7.1}{2}[/tex] = [tex]\frac{8.6}{2}[/tex] = 4.3

Answer:

4.3 is the answer

Step-by-step explanation:

(1.5 + 7.1 ) ÷ 2 = 4.3

Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960