What is the completely factored form of 3x^2-12x-15

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

3x² - 2 - 12x - 15

Factor.

= 3 ( x + 1 ) ( x - 5 )

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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>Answer:</h3>

B) 22.32 feet

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

<h3>Solution:</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~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

$\rule{300pt}{2pt}$

4 0

2 years ago

Red bricks and grey bricks were used to build a decorative wall. The number of red bricks divided by number of grey bricks was 5

azamat

Red bricks : Grey bricks
5 : 2

Total parts = 5 + 2 = 7

7 parts = 224
-----------------------
Find 1 part:
-----------------------
1 part = 234 ÷ 7
1 part = 32

-----------------------
Find 5 parts:
-----------------------
5 parts = 32 x 5
5 parts = 160

----------------------------------------------
Answer: 160 Red bricks
----------------------------------------------

5 0

3 years ago

(2.3×10^4)×(1.5×10^-2)

Wewaii [24]

Answer:

3450

Step-by-step explanation:

(2.3x10^4)x(1.5x10^-2)

(2.3x10,000)x(1.5x.1)

23,000x.15

3450

6 0