All categories

3 years ago

What is the value of x? Enter your answer, as a decimal, in the box. ft

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

Answer:

67.5 ft.

Step-by-step explanation:

Length of MA = 71.5 - 22 = 49.5 ft.

Length of BP = 97.5 - x.

So we have the equation:

22 / 49.5 = (97.5- x) / x

Cross multiply:

22x = 49.5(97.5 - x)

22x = 4826.25 - 49.5x

22x + 49.5x = 4826.25

71.5x = 4826.25

x = 4826.25/71.5

x= 67.5 ft.

You might be interested in

Nov 09, 17:58:28 AM

Marianna [84]

The percent discount is 30%.
If you multiply $32 by .30, you will get $9.60. That is the amount of the discount. If you subtract $9.60 from $32, you will get $22.40 which is what he paid before tax. Therefore the percent discount is 30%.

7 0

3 years ago

1.) What is slope and how is it determined from an graph?

Daniel [21]

1) Slope tell about the steepness of the line.

To find slope we look at the rise and run between 2 points.

attached the graph of line with slope

slope = $\frac{change in y values ( rise)}{change in x value (run)}$

= $\frac{2}{1}$

So slope = 2

2) we have x and y intercepts

x intercept is the point where the line crosses x axis

x intercept at x= 3

y intercept is the point where the line crosses y axis

y intercept at y= 6

3) Linear equation is y= 3x+2

function is f(x) = 3x+2

We can graph it using slope and y intercept

In f(x)= 3x + 2 , slope =3 and y intercept = 2

slope = 3, rise = 3 and run =1

The graph of f(x)= 3x+2 is attached below.

8 0

3 years ago

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female student

Leona [35]

Answer: Using the information of the conditional relative frequency table, 123 students in the survey said that math was their favorite subject.

Solution:

1. The survey was given to 120 male students.

Acconding with the table, the proportion of male students with Math as favorite subject is 0.35. The quantity of male students with Math as favorite subject would be:

0.35(120)=42 male students

2. The survey was given to 180 female students.

Acconding with the table, the proportion of female students with Math as favorite subject is 0.45. The quantity of female students with Math as favorite subject would be:

0.45(180)=81 female students

Then the total of students in the survey said that math was their favorite subject would be:

42 male students + 81 female students = 123 students

3 0

3 years ago

Read 2 more answers

Please help me with this

denis23 [38]

Answer:

20) $\displaystyle [4, 1]$

19) $\displaystyle [-5, 1]$

18) $\displaystyle [3, 2]$

17) $\displaystyle [-2, 1]$

16) $\displaystyle [7, 6]$

15) $\displaystyle [-3, 2]$

14) $\displaystyle [-3, -2]$

13) $\displaystyle NO\:SOLUTION$

12) $\displaystyle [-4, -1]$

11) $\displaystyle [7, -2]$

Step-by-step explanation:

20) {−2x - y = −9

{5x - 2y = 18

⅖[5x - 2y = 18]

{−2x - y = −9

{2x - ⅘y = 7⅕ >> New Equation

__________

$\displaystyle \frac{-1\frac{4}{5}y}{-1\frac{4}{5}} = \frac{-1\frac{4}{5}}{-1\frac{4}{5}}$

$\displaystyle y = 1$ [Plug this back into both equations above to get the x-coordinate of 4]; $\displaystyle 4 = x$

_______________________________________________

19) {−5x - 8y = 17

{2x - 7y = −17

−⅞[−5x - 8y = 17]

{4⅜x + 7y = −14⅞ >> New Equation

{2x - 7y = −17

_____________

$\displaystyle \frac{6\frac{3}{8}x}{6\frac{3}{8}} = \frac{-31\frac{7}{8}}{6\frac{3}{8}}$

$\displaystyle x = -5$ [Plug this back into both equations above to get the y-coordinate of 1]; $\displaystyle 1 = y$

_______________________________________________

18) {−2x + 6y = 6

{−7x + 8y = −5

−¾[−7x + 8y = −5]

{−2x + 6y = 6

{5¼x - 6y = 3¾ >> New Equation

____________

$\displaystyle \frac{3\frac{1}{4}x}{3\frac{1}{4}} = \frac{9\frac{3}{4}}{3\frac{1}{4}}$

$\displaystyle x = 3$ [Plug this back into both equations above to get the y-coordinate of 2]; $\displaystyle 2 = y$

_______________________________________________

17) {−3x - 4y = 2

{3x + 3y = −3

__________

$\displaystyle \frac{-y}{-1} = \frac{-1}{-1}$

$\displaystyle y = 1$ [Plug this back into both equations above to get the x-coordinate of −2]; $\displaystyle -2 = x$

_______________________________________________

16) {2x + y = 20

{6x - 5y = 12

−⅓[6x - 5y = 12]

{2x + y = 20

{−2x + 1⅔y = −4 >> New Equation

____________

$\displaystyle \frac{2\frac{2}{3}y}{2\frac{2}{3}} = \frac{16}{2\frac{2}{3}}$

$\displaystyle y = 6$ [Plug this back into both equations above to get the x-coordinate of 7]; $\displaystyle 7 = x$

_______________________________________________

15) {6x + 6y = −6

{5x + y = −13

−⅚[6x + 6y = −6]

{−5x - 5y = 5 >> New Equation

{5x + y = −13

_________

$\displaystyle \frac{-4y}{-4} = \frac{-8}{-4}$

$\displaystyle y = 2$ [Plug this back into both equations above to get the x-coordinate of −3]; $\displaystyle -3 = x$

_______________________________________________

14) {−3x + 3y = 3

{−5x + y = 13

−⅓[−3x + 3y = 3]

{x - y = −1 >> New Equation

{−5x + y = 13

_________

$\displaystyle \frac{-4x}{-4} = \frac{12}{-4}$

$\displaystyle x = -3$ [Plug this back into both equations above to get the y-coordinate of −2]; $\displaystyle -2 = y$

_______________________________________________

13) {−3x + 3y = 4

{−x + y = 3

−⅓[−3x + 3y = 4]

{x - y = −1⅓ >> New Equation

{−x + y = 3

________

$\displaystyle 1\frac{2}{3} ≠ 0; NO\:SOLUTION$

_______________________________________________

12) {−3x - 8y = 20

{−5x + y = 19

⅛[−3x - 8y = 20]

{−⅜x - y = 2½ >> New Equation

{−5x + y = 19

__________

$\displaystyle \frac{-5\frac{3}{8}x}{-5\frac{3}{8}} = \frac{21\frac{1}{2}}{-5\frac{3}{8}}$

$\displaystyle x = -4$ [Plug this back into both equations above to get the y-coordinate of −1]; $\displaystyle -1 = y$

_______________________________________________

11) {x + 3y = 1

{−3x - 3y = −15

___________

$\displaystyle \frac{-2x}{-2} = \frac{-14}{-2}$

$\displaystyle x = 7$ [Plug this back into both equations above to get the y-coordinate of −2]; $\displaystyle -2 = y$

I am delighted to assist you anytime my friend!

7 0

3 years ago

The answer for part A is right ??<br> And please help me in part B and C

Damm [24]

Answer:

The answer is 7 sides and 2 bases.

Step-by-step explanation:

This is a seven (7) sided shape on its lateral

Then we have a top and a base making it a nine (9) altogether for Surface area.

Because it is a polygon just like a prism we only see its shape on the base when you tilt it, so the top of the net is drawn can also be drawn on its side. See attached last few pages.

We draw it on its base so we can see both the cross section is vertical and slice the heptagon. Here we can call it a vertical heptagon prism. As its on its base the height would be high to low and look like a watch on the arm whilst the arm is reaching for the door. The measurements of the bases would be 2x the height at its longest point on the actual top and base. (As long as they are not more than 2x it would represent the shape when it becomes a prism.

All the pictures may not be relevant but it helps you understand area 1/2 x 1 = 1/2 so 1/2 x 2cm = 1 and 2 x 2 = 4 for other shapes.

We cna use these measurements when showing the bases are twice the size and also label height H = 2cm and Length = 4cm

For the heptagon. The area is worked out a different way but this may help you get used to multiplying half when working with shapes.

7 0

3 years ago