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Mandarinka [93]
2 years ago
5

This is for 50 brainly points a brainliest for the best explained answer so here's the question.

Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0
D) 37 degrees, 52 minutes
Step-by-step explanation:
3x-2y+1=0 y = 3/2 x + 1/2 ... slope₁ (m₁ = 3/2)
x-3y=0 3y =1/3 x ... slope₂ (m₂ = 1/3)
acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)
tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777
θ = 37.875°
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4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
3 years ago
Your paycheck is $800 every two weeks. Each month, your fixed expenses include the following: $675 for rent; $200 for utilities;
kobusy [5.1K]

Answer:

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary's gross pay.

a.

$6.49

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Julia examines the two triangles below and determines that .
baherus [9]

IN Δ MLN:


∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1



IN Δ FGH:


∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3



∴ ONLY ∠N = ∠F = 98.6


There is no other <span>congruent </span>angles


So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.



8 0
3 years ago
Read 2 more answers
Given the function f(x) = 3x + 1 what is f(-2)?
Readme [11.4K]

Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

7 0
2 years ago
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Directions: Name all sets to which each value belongs.
natta225 [31]

Answer:

Idk

Step-by-step explanation:

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