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liraira [26]
3 years ago
8

3^4 + 4 . 5 = _ (input whole numbers only.)

Mathematics
1 answer:
anygoal [31]3 years ago
6 0
3^4=81
4*5=20
81+20=101
Hope this helped
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9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
irakobra [83]

<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
  • Perpendicular = ?

\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

4 0
2 years ago
Simone takes dance lessons. Her shoes cost $150 per year, her tights and leotards cost $70 per year, her hair accessories cost $
KATRIN_1 [288]
Ok so all you do is add 150+70+15+1000. That equals to $1235
6 0
3 years ago
One card is selected at random from a deck of cards. determine the probability of selecting a card that is less than 99 or a spa
Kitty [74]
Since these events are independent, you add the possibilities

the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52

32/52 + 13/52 = 45/52

the answer is 45/52
8 0
3 years ago
An elevator goes up 7 floors and then down 4 floors. What integer represents the change in the floor level?
Nat2105 [25]
The answer is three because...

7-4=3
3 0
3 years ago
Read 2 more answers
I don't really understand this, could anyone possibly help me?
Tanya [424]

\bf Step-by-step~explanation:\\

\bf13.

We have to name a line that "contains" point P. This means that we have to find a line that passes through point P. We can see that line PS/n goes through point P.

\bf14.

We have to find the plane's name. The name (usually a letter) is usually on a corner of the plane, in caps. We could see that there is an F on the bottom left hand corner of the plane, so F is our plane name.

\bf 15.

To name an intersection of lines n and m, we have to find the point where they intersect and name it. We could see that point R goes through both lines, so that is our answer.

\bf 16.

We have to name a point that does not contain lines l, m, or n. Point W is a point that is not on any of the lines.

\bf 17.

Another name for line n is also line PS (add a line on the top of PS when writing this!) because point P and point S are two points on line n.

\bf 18.

Line l does not intersect lines n or m because those lines do not go through line l at all.

\large\boxed{\bf Our ~final~answers:~In~bold}

8 0
3 years ago
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