5¹ x 34 ÷ 5 x (3/4)²​

Area = 8,100 square feet

area of a square = a²

8,100 square feet = a²

√8,100 square feet = √a²

90 feet = a

total length each row of bookshelf is 4/5 of the length of the storage space.

90 feet * 4/5 = (90*4)/5 = 360/5 = 72 feet.

Area = (72 ft)²

Area = 5,184 square feet.

Answer:

(-1,-1)

Step-by-step explanation:

Plug in to the equation.

y=2x+1

-1=2(-1)+1

-1=-2+1

-1=-1 :)

Answer:

Step-by-step explanation:

Given:

There are two ways of finding if the points belong to the graph:

1. Graph the line and plot the points and confirm visually.

2. Plug in the values into equation and confirm.

Step-by-step explanation:

It is a cyclic quadrilateral.

The sum of interior angles of this polygon is equal to 180 degrees.

ATQ,

2x+26y=180

x+13y=90 ....(1)

3x+21y=180

x+7y=60 ....(2)

Subtract equation (1) from (2).

x+7y-(x+13y) = 60-90

x+7y-x-13y=-30

-6y=-30

y = 5

Put the value of y in equation (1

x+13(5) = 90

x+65=90

x = 90-65

x = 25

So,

∠DAB = 26y = 26(5) = 130°

∠ABC = 3x = 3(25) = 75°

∠BCD = 2x = 2(25) = 50°

∠ADC = 21y = 21(5) = 105°

    x = 25, y = 5

    m∠DAB = 26(y) = 180°

    m∠ABC = 3x = 75°

    m∠BCD = 2x = 50°

    m∠ADC = 21y = 105°

From the picture attached,

By using the property of cyclic quadrilateral,

m∠A + m∠C = 180°

26y + 2x = 180

13y + x = 90 --------(1)

m∠B + m∠D = 180°

3x + 21y = 180

x + 7y = 60 --------(2)

Subtract equation (2) from (1),

(13y + x) - (x + 7y) = 90 - 60

6y = 30

y = 5

Substitute y = 5 in equation (1),

13(5) + x = 90

x = 90 - 65

x = 25

Substitute the values of 'x' and 'y' to get the measures of the angles,

m∠DAB = 26(y) = 180°

m∠ABC = 3x = 75°

m∠BCD = 2x = 50°

m∠ADC = 21y = 105°

         Therefore, values of the variables will be,

                            x = 25, y = 5

                            m∠DAB = 26(y) = 180°

                            m∠ABC = 3x = 75°

                            m∠BCD = 2x = 50°

                            m∠ADC = 21y = 105°

Learn more about the cyclic quadrilateral here,

https://brainly.com/question/24142962?referrer=searchResults

Answer:

x=2

y=3

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

these lines, when graphed, are parallel (notice their slopes are the same)

parallel lines will never intersect or produce areas of intersection, resulting in no solutions

Since the values on both sides are different, hence the  the system of inequalities have NO solutions

Inequalities are equation that does not include only the equal sign.

Given the following inequalities

y > - 1/3x+5 and y< - 1/3 x -1

In order to determine whether the equations have a solution, we need to equate both expressions and solve

Equate

-1/3x + 5 = -1/3x - 1

-1/3x + 1/3x  = -1 - 5

0x = -6

Since the values on both sides are different, hence the  the system of inequalities have NO solutions

Learn more on inequality here: https://brainly.com/question/12089993

#SPJ2

Answer:

8 days

Step-by-step explanation:

[tex] \frac{1}{4} \times 4 =1 [/tex]

[tex]2 \times 4 = 8[/tex]

It takes Time 8 days to clear 1 acre

Answer:

= 0.5 acre per day

Step-by-step explanation:

Have A Wonderful Day !!

Answer:

THe solution is where the 2 lines intersect!

Step-by-step explanation:

(-1,-3) (2,2)

The first triangle is similar with given triangle.

Two triangles are said to be similar, when corresponding sides of both triangles are in equal proportion and corresponding angles are equal.

From first option, It is observed  all the sides of triangle are in the proportion with given triangle dimensions.

Given triangles dimensions are [tex]3,4[/tex] and [tex]5.[/tex]

First option triangles has dimensions [tex]6,8[/tex]  and [tex]10[/tex].

Since,   [tex]\frac{3}{6} =\frac{4}{8} =\frac{5}{10}=\frac{1}{2}[/tex]

Therefore, first triangle is similar with given triangle.

Learn more about the similar triangle here:

https://brainly.com/question/14285697

Answer:

The answer is (0,5)

Step-by-step explanation:

(0,5)

Answer:

X-intercept= (1.67,0)

Y-intercept = (0,5)

Step-by-step explanation:

Move y to the right so that it’s alone and then type it in the calculator under y= and press graph.

Answer:

the pythagreom theorem is the equation we use to find the sides of a triangle, the equation is a^2= b^2 + c^2 how the letters are arranged depends.

Given:

In a right angle triangle,

Hypotenuse = x

Other two sides are (x-2) and 8.

To find:

The value of x.

Solution:

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

Putting the given values, we get

[tex]x^2=(x-2)^2+(8)^2[/tex]

[tex]x^2=x^2-4x+4+64[/tex]

[tex]x^2-x^2+4x=68[/tex]

[tex]4x=68[/tex]

Divide both sides by 4.

[tex]x=\dfrac{68}{4}[/tex]

[tex]x=17[/tex]

Therefore, the value of x is 17.

Answer:

The answer will br 24.7

Step-by-step explanation:

Plus the breadth the height and the 7cm

Step-by-step explanation:

a = 7 cm

b = 10.4 cm

h = 6.7 cm

Area of trapezium = ?

we have the formula

Area of trapezium

= 1/2 * h ( a + b)

= 1 / 2 * 6.7 ( 7 + 10.4)

= 1/2 * 6.7 * 17.4

= 1/2 * 116.58

= 58.29 cm²

Hope it will help :)

Answer:

92/69 cannot be simplified

Step-by-step explanation:

Answer:

5x-10=60 being vertically plopposite angle .

Answer:

14; vertical

Step-by-step explanation:

since these are vertical angles, they will equal the same;

5x - 10 = 60

add 10

5x = 70

divide by 5

x = 14

Answer:

See below.

Step-by-step explanation:

The 3 marked angles add up to 360 degrees.

5x + 12 + 10x - 37 + 9x + 1 = 360

24x - 24 = 360

24x = 384

x = 384/24 =  16

The large angle at C = 10(16) - 37

= 160 - 37 = 123 degrees.

So m <BCA = 180 - 123

=  57  degrees    (adjacent angles add up to 180).

Answer:

It will take 9 minutes

Step-by-step explanation:

18:6=3

- 1 jump every 3 minutes

3 x 3 = 9

(but I'm not sure if it is correct because i did not really understood the question)

Step-by-step explanation:

7. x/4=-2.5

x = -2.5/4= 5/8

8. -22=n/2

n = -22×2 =-44

9. 1/3z = -5

z = -5×3 =-15

10. -1/4x=5/2

-2=5×4x

-2=20x

x=-20x/2=-10

Answer:

A, $151.36

Step-by-step explanation:

Step #1: Change 5.3% to a decimal.

To do that just move the decimal point 2 places to the left (same thing as dividing by 100). Also remember that every number has invisible zeros in front of it that don't change the number at all.

So basically to change 5.3% to a decimal just move the decimal point in front of 5 (that's one time), then in front of the invisible zero (that's 2 times) so you have .053

Step #2: Then multiply .053 times $143.74

The answer should be $7.61822 if you did it right.

Step #3: Add #143.74 and $7.61822 to find the total with the sales tax.

The answer should be $151.35822.

But we don't do that in money so round the total to the nearest cent. Look at the third decimal space to see if you're rounding up or down. If the decimal space is 0-4, then round down (so in this case if the 8 was a 2, you would keep the 5 like it is and the answer would be $151.35). But if the third decimal space is 5-9, then round up.

In this case since the third decimal space is a 8, we are rounding up and changing the 5 to a 6.

So your final answer should be $151.36.

Answer:

the answer is.....wait for it.....

16

Step-by-step explanation:

Answer:

$70

Step-by-step explanation:

$50+$(0.35*80)

$50+$20

=$70

Hope this helped! :)

Answer:

9

Step-by-step explanation: if you look at the triangle LV and UW are the same length apart.

Answer:

The answer is -4000.

Step-by-step explanation:

The answer is -4000 because you took money from your bank account, withdraw.

Answer:

10

Step-by-step explanation:

With this question you must find the LCM for 2 and 5.

Multiples of 2= 2,4,6,8,10

Multiples of 5= 5,10

10 is the least common multiple making it the first number that the boxes can be at the same height with.

Answer:

7

Step-by-step explanation:

1, 3, 5

The reasonable domain has a minimum value.

The reasonable range has a minimum value of 30,000.

The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

1. Years cannot be anything below 0.

2. The domain includes 0 because the answer can be the initial value.

3. 30,000 is the initial value and is the minimum solution.

4. The range has a minimal of 30,000.

5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.

Answer:

1. The reasonable domain has a minimum value.

3.The reasonable range has a minimum value of 30,000.

5.The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

9514 1404 393

Answer:

  D.  3x +y = 23​

Step-by-step explanation:

If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.

  3x + y = 23​

_____

Standard form for a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)

Answer:

I mean c and d but you wrote this weirdly

Answer:

She needs 6 ounces of peanut butter chips.

hope this helped :-)

Step-by-step explanation:

10:5=2

1/5 = 2

1/5+1/5+1/5=

2+2+2=

2*3=6