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steposvetlana [31]

3 years ago

6

15/60=3/4 are they equivalent

1 answer:

Dvinal [7]3 years ago

4 0

15/60 simplified is 1/4

1/4 is not equal to 3/4

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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

Given: ΔABC is a right triangle and CD ⊥ AB.

Gelneren [198K]

C

Proves ac2+ bc2 = ab2

3 0

2 years ago

Find the coordinates of P so that P partitions the segment AB in the ratio 6:2 if A(−4,12) and B(9,−4).

Jobisdone [24]

<u>ANSWER</u>

B. (5.75, 0)

<u>EXPLANATION</u>

If the point P(x,y) partitioned

$A(x_1,y_1)$

and

$B(x_2,y_2)$

in the ratio m:n, then

$x = \frac{mx_2+nx_1}{m + n}$

$y=\frac{my_2+ny_1}{m + n}$

If the coordinates are A(−4,12) and B(9,−4), then:

$x = \frac{6 \times 9+2 \times - 4}{6 + 2}$

$x = \frac{54 - 8}{8}$

$x = \frac{46}{8}$

$x = 5.75$

$y= \frac{6 \times - 4+2 \times 12}{6 + 2}$

$y = \frac{24 - 24}{8}$

$y = \frac{0}{24} = 0$

The correct choice is

$B. (5.75, 0)$

3 0

3 years ago

the lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. what is the length

Salsk061 [2.6K]

Answer:

40cm is the length of the box

3 0

3 years ago

Ayuda con mi tarea de matemáticas , dice asi : En una biblioteca hay 5 estantes , 2/5 de uno de ellos está ocupado por libros de

laiz [17]

There are 5 shelves in the bookcase.

2/5 of one shelve is occupied.

That would be:

2/5*1/5=2/25 of all shelves

7/2 is more than 1, so it refers to the bookcase instead of one shelve. The same with 11/10.

So the total is:

2/5+7/2+11/10 = 5

So all shelves are completely full.

So there is no room for any other book.

4 0

4 years ago