top hole
x = 38 cos 60
y = 38 sin 60
bottom hole
x = 38 cos 30
y = 38 sin 30
The coordinate of holes is (43.3, 25) and (25, 43.3).
CircleIt is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.
Two 2 centimeter holes are drilled in the plate.
To findTwo 2 centimeter holes are drilled in the plate, positioned.
How to find the position of holes?Holes are at 50 cm from the center at an angle of 30 and 60 degrees.
So the coordinate will be given by
[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]
Then for the first hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]
For the second hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]
Thus the coordinate of holes is (43.3, 25) and (25, 43.3).
More about the circle link is given below.
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PLS HELP IVE BEEN STRUGGLING WITH THIS TOPIC TYSM ILL MARK BRAINLIEST
Answer:
The answer would be 32
Step-by-step explanation:
equation would be: 6+2(12+1)
which then turns into 6+24+2
which equals 32
Answer:
32
Step-by-step explanation:
Since a = 3, b = 4, and c = -1
The Equation is:
= 2 × (3) + 2 × [(3) × (4) - (-1)]
= 6 + 2 × [12 - (-1)]
= 6 + 2 × (12 + 1)
= 6 + 2 × 13
= 6 + 26
= 32
What is 1.07 + 42.5 HELP PLSSSSSSSSSSSS
Answer:
43.57
Step-by-step explanation:
Line up the decimal points.
Add a 0 for 1.07 so the numbers have the same length.
01 . 0 7
42. 5 0
-------------
43.57
Answer:
1.07+42.5
=1.07+42.5
=43.57
Step-by-step explanation:
Add the numbers
Make 42.5 equal to 42.50 for better understanding when calculating
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
Drag all of the steps necessary into the box to find the product of 2.7 x 6.4 using partial products.
2.0 X 6.0 = 12
2.0 x 4.0 = 8
2.0 x 0.4 = 0.8
0.7 x 0.6 = 0.42
0.7 x 6.0 = 4.2
0.7 X 4.0 = 2.8
0.7 X 0.4 = 0.28
Answer:
2.0 x 6.0 = 12
2.0 x 0.4 = 0. 8
0.7 x 6.0 = 4.2
0.7 x 0.4= 0.28
Step-by-step explanation:
The product of 2.7 x 6.4 = 17.28
If you add all those up in the answer I provided, they too equal 17.28.
Answer:
the correct answer is... 2
.
0
×
0
.
4
=
0
.
8
0
.
7
×
6
.
0
=
4
.
2
0
.
7
×
0
.
4
=
0
.
28
2
.
0
×
6
.
0
=
12
Step-by-step explanation:
May I please receive help?
Please?
Slope Formula: (y2 - y1) / (x2 - x1)
Line 1: 3
Point 1 = (-5, -8)
Point 2 = (-1, 4)
Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3
Line 2: 3
Point 1 = (0, 1)
Point 2 = (2, 7)
Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3
Line 3: -1/3
Point 1 = (6, -7)
Point 2 = (-6, -3)
Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1 and Line 2 are parallel because they have the same slope.
Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.
Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.
Hope this helps!! :)
Answer:
3
3
-1/3
Parallel
Perpendicular
Perpendicular
Step-by-step explanation:
You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.
The formula for slope is y2-y1 divided by x2-x1
y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).
y1 is a point from the first pair like (-5, -8), or (0, 1).
You can plug in the values for example:
4 - (-8) / -1 - (-5)
Two negatives equals a positive in math, so
12 / 4
= 3.
The slope for line 1 is 3.
You extend this to the other two lines.
For lines to be parallel, they must have the same slope.
1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.
Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.
For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)
A reciprocal slope of 19348 is -1/19348.
What is the 40th term of the arithmetic sequence?
21, 18, 15, 12, 9,...
−96
6
138
−99
Answer:
We start off with 21 as the first term. So a1 = 21
The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)
The nth term of an arithmetic sequence is found by using this formula
an = a1 + d(n-1)
let's plug in the values we have so far to get
an = 21 + (-3)(n-1)
an = 21 - 3(n-1)
an = 21-3n+3
an = -3n+24
Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done
an = -3n+24
a40 = -3*40+24
a40 = -96
pointing you to the answer of choice B) -96
I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right
Answer: i think its all of them are 5
Step-by-step explanation: sorry if im wrong
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
90 entre (7 + 3) x 2
Find -3A+6B ...........
draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x
Answer:
I graphed the answer above in the image
37. Construct Arguments Luis and Raul are
riding their bicycles to the beach from their
respective homes. Luis proposes that they leave
their respective homes at the same time and
plan to arrive at the beach at the same time.
The diagram shows Luis's position at two points
during his ride to the beach.
Write an equation in slope-intercept form
to represent Luis's ride from his house to the
beach. If Raul lives 5 miles closer to the beach
than Luis, at what speed must Raul ride for the
plan to work?
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
y = - 7.5x + 15 4 miles per hourTime difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hrUsing the general form :
y = bx + cAt, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
The expression in slope intercept form becomes ;
y = -7.5x + 15If Raul lives 5 miles closer to the beach ;
Time it will take Luis to get to the beach :
Time taken = (15 ÷ 7.5) = 2.5 hoursDistance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
Speed required = (10 ÷ 2.5) = 4 mi/hrTherefore, Raul has to ride at 4 miles per hour for the plan to work.
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classify each pair of angles as alternate interior alternate exterior or corresponding
Answer:
1. corresponding
2. alternate interior
3. supplementary
4. interior
Step-by-step explanation:
1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.
2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.
3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.
4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.
Hope this helps you out!! Have an awesome day ;)
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
9. Jerry's bedroom is square. He has a square desk that has an area of 1000 cm2. The area
of the bedroom is 16 times as large as the area of the desk. What is the side length of the
bedroom?
Answer: 126.49 cm [A VERY small bedroom]
Step-by-step explanation:
The area of the square bedroom is 16 times larger than Jerry's 1000 cm^2 desk. That makes his bedroom 16000 cm^2, It is square, so each side, x, is the same: x^2 = 16000 cm^2; x = 126.49 cm.
For reference, 126.49cm is 4.14 feet.
twenty four less than two times a number x.. pls help.
Answer:
24-2x
Step-by-step explanation:
Answer:
The equation is written as follows:
2x-24
which one? A? B? C? or D? help me pleaseee
Answer:
I'm pretty sure it's C I may be wrong though
Step-by-step explanation:
Equation: M+6/-3=4
What did you do?
Simplify/complete sentence
What is the best choice for the equation of the line of best fit shown?
Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
a) y = -2.5x + 25
b) y = -1.5x +23
c) y = 1.5x + 23
d) y = -2.5x + 15
Answer:
What is the best choice for the equation of the line of best fit shown?
b) y = -1.5x + 23
What would the value of y be for a point at x = 8?
b) 11
Did this on EDGE!
The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.
Therefore, the correct option is B.
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Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
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the cost of an ad is $1 for every 5 words. If Maria wants to spend no more than $15 dollars on her ad, how many words w can she use?
Answer:
75 words
Step-by-step explanation:
15*5=75
each dollar is five words, so times five by fifteen to get the number of words she can use.
please help me with this
Answer:
Okay the answer is
Answer:
3+(4+5) - (3+4)+5
7 . (2 . 5) - (7 . 2) . 5
5 . 9 - 9 . 5
3+4 - 4+3
The Dot's mean multiplication
Step-by-step explanation:
Which sentence best describe multiples of 5
HELP 20 POINTS Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.
Answer: A
Step-by-step explanation:
49000000 -8373448588766
answer:
-8.3733995^12
I need help please can anyone help.
Answer:
What do you need help on there’s nothing??
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left
Answer:
He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.
Step-by-step explanation:
welcome
Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each
candy bar cost?
Answer:
$4
Step-by-step explanation:
Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:
38 - 2 = 36
Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:
36 / 9 = 4
So, each candy bar costs 4 dollars
Hope this helps :)
Answer:
4 dollars
Step-by-step explanation:
38 - 2
= 36
36÷9 ( candy bars)
= 4 dollars
Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)
x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48
Answer:
x²-14x+48
Step-by-step explanation:
Area= Length × Width
Area= x-6 × x-8
Area= (x-6)(x-8)
Area= x²-8x-6x+48
Area= x²-14x+48
Hope this helped you- have a good day bro cya)