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Rama09 [41]
3 years ago
12

Find the acute angle between the two given lines y=-2x and y=x

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

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Im horrible at math and need help z and both w's
puteri [66]
The sum of all the angles in a triangle is 180°.
There is a right angle -> a 90° angle on the hypotenuse of the largest triangle (the largest being the one that contains both smaller triangles)

To solve this problem, you don't really need to solve y.
Next to the 48° angle, you have two of the same angles, both x variables.
The sum of these three angles has to be 180°48 + 2x = 180 \\ 2x = 180 - 48 \\ 2x = 132 \\ x = 66

Now that we have x, we can calculate the value of z.
We add the value of x and the 90° angle, we later subtract it from 180°

Calculating the value of z:
66 + 90 = 156 \\ 180 - 156 = 24 \\ z = 24

If you really want to know the value of y, you just add up the 90° angle and the 48°, then subtract that from 180°
90 + 48 = 138 \\ 180 - 138 = 42 \\ y = 42


6 0
3 years ago
A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
USPshnik [31]

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

3 0
2 years ago
Hillsdale's zoo has two elephants. The male elephant weighs 9 7/12 tons and the female elephant weighs 3 5/6 tons. How much more
Alex Ar [27]

Answer:

6 10/12

Step-by-step explanation:

thank u

7 0
2 years ago
Read 2 more answers
13. The equation of line l is given as y = 0.6x – 4.
Luden [163]

Answer: 16.6

Step-by-step explanation:

a = slope = 0.6

b = y-intercept = -4

c = x intercept = 20/3. (Set y=0 and solve for x)

So, a+b+3c = 0.6 - 4 + 3*20/3 = 16.6

3 0
2 years ago
A chef is going to use a mixture of two brands of Italian dressing the first brand contains contains 7% vinegar and the second b
Cerrena [4.2K]

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

4 0
2 years ago
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