If two thirds of a number is 56, what is three-quarters of that number?

The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?

kompoz [17]

The perimeter of square RSTV is: 17.88 units

Further explanation:

As the given figure is a square, all of its sides will be equal. So we have to find one side to find the perimeter.

Given

R(-1,5), S(-3,1), T(-7,3), and V(-5,7)

The distance formula will be used to find the side

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^@}$

Let x be one side of square

$RS=x=\sqrt{(-3-(-1))^2+(1-5)^2}\\=\sqrt{-3+1)^2+(-4)^2}\\=\sqrt(-2)^2+(-4)^2}\\=\sqrt{4+16}\\=\sqrt{20}\\=4.47$

Let P be the perimeter of square

P= 4x

P=4*4.47

=17.88 units

The perimeter of square RSTV is: 17.88 units

Keywords: Perimeter, Distance Formula

Learn more about perimeter at:

#LearnwithBrainly

6 0

3 years ago

Marshall's Taffy Shop made 21 kilograms of taffy in 2 days. How much taffy, on average, did the shop make per day?

Mademuasel [1]

Ma yasakō lāgi māphī cāhanchu.

7 0

3 years ago

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with

Pani-rosa [81]

Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so.... and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)

$\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}
\\\\\\
\cfrac{19\pi }{6}\impliedby co-terminal\ angle$

now, that's a positive one
and $\bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}
\\\\\\
-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}$

to get more, just keep on subtracting or adding 2π

8 0

3 years ago

How to find the circumference of a circle

Romashka [77]

C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi. Plugging π into your calculator will give you its numerical value, which is a closer approximation of 3.14 or 22/7.
The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle. Again, you can plug π into your calculator to get its numeral value, which is a closer approximation of 3.14.

8 0

3 years ago

write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer

USPshnik [31]

Answer:

y = 6/5 x-1 slope intercept form

6x-5y = 5 standard form

Step-by-step explanation:

We have the points (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

= (-7--1)/(-5-0)

= (-7+1)/(-5-0)

= -6/-5

= 6/5

We also have the y intercept ( when x=0) It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0

3 years ago