All categories

3 years ago

Given: PRST square

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

There is no difficulty in this problem until you construct the figures. How can we do it is shown in the attached picture. After drawing PRST, from the point P, we can draw PMKD and later we can complete PMCT as a result. From this picture, we can see that the side of PMCT is also a. Then, the area of this square is $A=a^{2}$

You might be interested in

Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

Step-by-step explanation:

If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

$B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)$ .

Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

$=\dfrac{4k-9}{4}\times \dfrac{44}{-145}$

$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

8 0

4 years ago

Read 2 more answers

|5x|+5=45 can you explain this absloute value equation i have a midterm

Ymorist [56]

So first, you get the absolute value to one side:
$|5x|+5=45\\
|5x|=40$

Next, set up two equations; One where the value inside the absolute value lines is positive, and another where it is negative, and solve both for the variable:
$|5x|=40\\5x=40\\x=\frac{40}{5}=8\\\\-5x=40\\x=\frac{40}{-5}=-8$

Your answers are 8 and -8, or +-8.

8 0

3 years ago

Read 2 more answers

Kristin spent $120 on shirts. Dress shirts cost $40 and t-shirts cost $8. If she bought a total of 7 shirts, then how many of ea

FinnZ [79.3K]

Answer:

The correct answer is: She bought 2 dress shirts and 5 t-shirts

Step-by-step explanation:

Let's marked dress shirts with x and t-shirts with y.

Now we will make equations to solve this problem:

x + y = 7 => y = 7 - x

40 x + 8 y = 120

When we replace y = (7 - x) in the previous equation we get:

40 x + 8 (7 -x) = 120 40 x + 56 - 8 x = 120 => 32 x = 120 - 56 =>

32 x = 64 => x = 64/32 = 2 => x = 2

y = 7 - x = 7 - 2 = 5 => y = 5

x = 2 dress shirts

y = 5 t-shirts

God with you!!!

8 0

3 years ago

Trig Question, 30points, will give brainliest.

ehidna [41]

Answer:

○ B. 4 + 4i√3

Step-by-step explanation:

√2(cos 10° + isin 10°) = 1,392728481 + 0,2455756079i

[1,392728481 + 0,2455756079i]⁶ = 4 + 4i√3

I hope this does something to help, and as always, I am joyous to assist anyone at any time.

6 0

3 years ago

Help pls?? i have no clue what slope intercept forms are lol

Wittaler [7]

Answer:

See below.

Step-by-step explanation:

The form for slope intercept is y=mx+b, with m being the slope and b being the y-intercept.

In this case, 1/3 is the slope, and -2 is the y-intercept.

The following statements are true:

The line passes through (0,-2).

The line passes through the origin.

-hope it helps

3 0

3 years ago