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Effectus [21]
2 years ago
12

A rope with a length of 3.5 meters is tied from a stake in the ground to

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

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Luke's bill for breakfast at a restaurant was $80. He left a 20% tip. What was the amount of
Alexandra [31]

Answer:

$16

Step-by-step explanation:

Multiply $80 dollars by 20% or .2.

You should get $16.

A tip for the future is to move the decimal point to the left twice.

ie. 60%=0.6, 175%=1.75, 3%=0.03

6 0
2 years ago
Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
2 years ago
ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.
Natasha2012 [34]

Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60

3 0
2 years ago
How many odd integers are there between 101 and 999 have distinct digits?
guapka [62]
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).

So there are 7\cdot8\cdot8=320 such numbers.
8 0
2 years ago
Please help it due tomorrow and I don't know what to do :)
Anit [1.1K]
The answer should be 5
8 0
2 years ago
Read 2 more answers
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