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Hunter-Best [27]
2 years ago
8

Order the integers 4, –6, 8, and –4 from least to greatest.

Mathematics
1 answer:
Murljashka [212]2 years ago
5 0

Answer:

-6, -4, 4, 8

Step-by-step explanation:

hope it helps <3

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A 12- foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground
viktelen [127]

Answer:option C is the correct answer.

Step-by-step explanation:

When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.

Since the length of the ladder is 12 foot, then

Hypotenuse = 12 foot

The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio

Sin θ = opposite side/hypotenuse

Sin 75.5 = y/12

6 0
2 years ago
Divid 15 into two parts such that the sum of their reciprocal is 3/10
Klio2033 [76]
From the information obtained from the question, two equations can be created:
 
Let x and z be the two numbers (parts)

\frac{1}{z}   +   \frac{1}{x}  =   \frac{3}{10} .  .  .  . (1)

z  +   x  =  15  .  .  .  . (2)

By transposing (2), make 'z' the subject of the equation
z = 15 - x  .  .  .  . (3)

By substituting (3) into equation (1) to find a value for x
\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}

\frac{15}{( 15 - x ) ( x )}  =   \frac{3}{10}

3 ( - x^{2}  + 15 x )  =  150

3 x^{2}  - 45x + 150 = 0

⇒  ( x - 5 )  ( x - 10 )  = 0

∴ either ( x - 5) = 0        OR    ( x - 10 ) = 0

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

     z + (5) = 15       OR      z + (10) = 15

    ⇒      z = 10      OR                 z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.





5 0
3 years ago
write the equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16
ratelena [41]

Answer:

<h3>Step 1 - Find the gradient of 2x + 4y = 16</h3>

2x + 4y = 16

4y = 16 - 2x

y = 4 - 1/2x

gradient = -1/2

<h3>Step 2 - Find the Equation</h3>

y - y1 = m(x - x1)

m = gradient, (x1, y1) = (-2,2)

y - 2 = -1/2 (x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1 → ANSWER

Hope it helps!

7 0
2 years ago
What's the answer and plz answer honestly??
kolezko [41]
5,000,000,000

300,000
8 0
2 years ago
What multiplication equals to 108?
Lana71 [14]
12 × 9 = 108

36 × 3 = 108

2 × 54 = 108

As many as possible.
4 0
2 years ago
Read 2 more answers
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