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kirill [66]
3 years ago
14

What is the approximate value of y − x?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
Since it is a right angled triangle.

tan x = 14.1/19.1

tan x ≈ 0.7382

x ≈ tan⁻¹(0.7382)    use a calculator.

x ≈ 36.4°

Since x and y are adjacent angles of right angled triangle.

x + y = 90°

x = 90° - 36.4°

x = 53.6°

y - x ≈ 53.6° - 36.4°

y - x ≈ 17.2° 

17.2
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ABC is a dilation image of DEF. What is the scale factor?
GrogVix [38]
The complete question in the attached figure

we know that
length side AB=8 units
length side DE=4 units


[ABC]=[DEF]*[scale factor]
then
[scale factor ]=[ABC]/[DEF]---------> 8/4--------> 2

the answer is
the scale factor for a dilation image of DEF to obtain ABC is 2

4 0
3 years ago
what is the volume of is a rectangular prism that is 14 inches long, 7 inches wide, and 10 inches high?
igomit [66]

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Step-by-step explanation:

980

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What additional piece of information must be known in order to calculate the volume of the cylinder below?
djyliett [7]

For this case we have that by definition, the volume of a cylinder is given by:

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5 0
3 years ago
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-2(3x+9)=-54<br><br> AND 2(3x+4) -3x=35 <br><br> SHOW WORK PLEASE
Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

1.

-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6

2.

2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9

<u>Written Explanation: </u>

1.

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2.

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

5 0
3 years ago
What is the equation of this line in standard form? −6x+11y=13 −6x+7y=−17 −6x+11y=−13 −11x+6y=−13 Number graph that ranges from
Taya2010 [7]
A line passes through the points:
A ( - 4. - 1 )
B ( 1 1/2, 2 )
The point-slope form:
y = m x + b
m = ( 2-(-1)) / (3/2-(- 4)) = ( 2 + 1 ) / 3/2 + 4 ) = 3 / 11/2 = 6 / 11
2 = 6/11 * 3/2 + b
2 = 9/11 + b
b = 2 - 9/11 = 22/11 - 9/11 = 13/11
The equation in the slope-intercept form is:
y = 6/11 x + 13/11   / * 11 ( we will multiply both sides by 11 )
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Answer :
A ) - 6 x + 11 y = 13
6 0
3 years ago
Read 2 more answers
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