Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
Answer:
9 students on the committee are males
Step-by-step explanation:
As per the statement:
There are 15 students on a yearbook committee.
⇒Total students on a yearbook committee = 15
⇒
....[1]
It is given that:
40% of the students are females
⇒
Substitute in [1] we have;
Subtract 6 from both sides we have;
Therefore, 9 students on the committee are males
Answer:
Step-by-step explanation:
- The Romanov Dynasty (1613 to 1917) was the last imperial dynasty to rule Russia. During the Romanov reign Russia became and remained a major European power.
-
The Romanovs share their origins with a handful of other Russian noble families. One of the ancestors of the world-renowned dynasty was Andrey Kobyla – a boyar who lived during the middle of the 14th century. Kobyla was documented in contemporary chronicles only once, in 1347, when he was said to have been sent to Tver with the purpose of meeting the daughter of Alexander I of Tver. Later generations assigned other more illustrious pedigrees to Kobyla, however, they are highly unlikely to be true.
- An 18th century genealogy chart even claimed that Kobyla was the son of the Prussian prince Glanda Kambila, who came to Russia in the second half of the 13th century, fleeing the invading Germans. Indeed, one of the leaders of the Prussian rebellion of 1260-1274 against the Teutonic order was named Glande, but the theory acquired no further proof.
- In another theory, which is more likely to be true even though it is less complementing, Kobyla's origins were not that spectacular – his relatives were nicknamed after horses and other house animals (“kobyla” means “mare” in Russian), thus suggesting his descent from one of the royal equerries.
- One of Kobyla's sons, Feodor, a boyar in the boyar Duma of Dmitry Donskoy, was nicknamed Koshka, or “cat.” His descendants took the surname Koshkin and then changed it to Zakharyin. Later the family split this surname into two branches: Zakharyin-Yakovlev and Zakharyin-Yuriev. During the reign of Ivan the Terrible, the former family became known as Yakovlev, whereas the grandchildren of Roman Zakharyin-Yuriev changed their name to Romanov.
- The Romanov Dynasty began with the election of Mikhail Romanov, a 16-year-old boyar, by the Zemsky Sobor, or Assembly of the Land – the first Russian parliament of the feudal estates type.
- Initially, Mikhail’s mother protested against the election of such a young and inexperienced man, but the boyars assured her that Mikhail would be held responsible to God for the destruction of Russia and other mortal sins if he persisted in his refusal to accept the title.
- When young Mikhail learned he was about to be granted the highest title anyone could dream of in Russia, he burst into tears of fear and despair. He was finally persuaded to accept the throne by his mother who saw no way out, so she blessed the young man who had to obey. Mikhail Romanov was crowned on 22 July 1613.
- The first member of the Romanov Dynasty and founder of the clan dedicated the time of his reign to reforms, thus changing the political situation that had formed by that time in ancient Russia.
- The first task of the new Tsar was to clear the land of the invaders infesting it – thus Sweden and Poland were dealt with respectively.
Answer: C. y = 10x + 15
Step-by-step explanation:
He has already watched 15 movies so that's plus 15
And now he wants to watch 10 movies per week, we don't know how many weeks so that's '<em>x</em>' in this equation.
If he watches movies for <em>x </em>weeks that's 10 times <em>x </em>which is the 10x in the equation.
Hope that helped!
