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postnew [5]
3 years ago
15

How many solutions does this equation have and what are they? 3 ^{2} = 16 - x^{2}

Mathematics
1 answer:
jonny [76]3 years ago
4 0
X= (square root)7 
x= -(square root)7
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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
Solve for t <br> -1(t + 8) = -7.1
umka21 [38]
The answer is t=-0.9
3 0
3 years ago
Read 2 more answers
The average cost of printing a book in a publishing company is c(x) =, <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5.5x%2Bk%7
Bogdan [553]
To find K, we must use the fact that
 on the day 200 books were printed
 the average cost was $ 9 per book.
 Thus, substituting the values, we have:
 c (x) = (5.5x + k) / (x)
 9 = (5.5 (200) + k) / (200)
 Clearing K
 (200) * 9 = 5.5 (200) + k
 k = (200) * 9 - 5.5 * (200)
 k = 700
 answer
 the value of the constant k is 700
3 0
3 years ago
Read 2 more answers
Help! Got to hand this in in 5 minutes! And also DO NOT put useless answers, or I'll have to report you, not if you tried though
vladimir2022 [97]
The answer is on the photo below, I hope I helped! Hope you do well!!!

8 0
2 years ago
. 1. A consistent system of equations is a system with __________.. . the same line. . parallel lines. . intersecting lines and
madreJ [45]

A consistent system of equations is a system with intersecting lines and lines that have the same equation.

A consistent system is the system of equations with at least one solution or infinite number of solutions.

So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.

The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.

3 0
3 years ago
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