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Gennadij [26K]
3 years ago
13

What is a reciprocal?

Mathematics
2 answers:
prohojiy [21]3 years ago
7 0
<span>a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.
</span>
fredd [130]3 years ago
6 0
The reciprocal is the inverted form of the term. So like the reciprocal of 5/2 is 2/5. It is the flipped form of a term. Hope that helps :D
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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
3 years ago
The graph of F(x), shown below, has the same shape as the graph of G(x) = 3x2, but it is shifted down 4 units. What is its equat
navik [9.2K]
Shifting down 4 means you are taking away 4.
F(x) = g(x) - 4 = 3x^2 - 4
5 0
4 years ago
Read 2 more answers
In parallelogram ABCD measure angle A=(2x) and measure angle B=(5x+5). what are the measures of the angles of the parallelogram
iragen [17]

Opposite angles are equal, so we know that C=2x and D=5x+5 as well.

The sum of the interior angles of any quadrilateral is 360, so we have

2(2x+5x+5)=2(7x+5)=360 \iff 7x+5=180 \iff 7x=175 \iff x=25

So, the measures of the angles are

2x=50,\quad 5x+5=130

7 0
3 years ago
Avocado farmers use the percent of dry matter, the matter left after dehydration, from sample avocados in their orchards to dete
ELEN [110]

That would be (1.8 / 10) * 100

= 0.18 * 100

= 18%  answer

5 0
3 years ago
Read 2 more answers
Please help and no guessing please I need this.
vodka [1.7K]

Answer:

1. n + 8 = 10

2. \frac{n}{12}= 10

3. 8n - 6 = 34

4. 3(n + 12) = 45

5. No

6. Yes

Step-by-step explanation:

(only for questions 5 and 6)

5. If you substitute in y = 1, you get 1 * 49 = 0 or 49 = 0 which is not true.

6. If you substitute in b = 8, you get:

5(8-3)= 25\\5(5) = 25\\25 = 25

this is true.

7 0
3 years ago
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