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.
https://brainly.com/question/11833983
The ratio of boys to girls in Mrs Ronaldo's math class 3 to 1. What percent of the class is girls?
Explanation:
Let's say this class has 3 boys and 1 girl. That means we have 3+1 = 4 students total. The percentage of girls is 1/4 = 0.25 = 25%
What is the answer of this : 3+5-9*6/2
Answer:
3+5-9*6/2
3+5-9*3
3+5-27
8-27
-19
0
1
2.
3
у
8
1
-6
-13
What is an equation that describes the relationship?
Step-by-step explanation:
that only know
Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
1440
Step-by-step explanation:
can somebody please help me I’m begging I need help
Answer:
4.0%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100
percent change = (25475 - 24500)/(24500) * 100
percent change = 3.979...%
Answer: 4.0%
Helppp I will give u 100 if you give me a good answer
Answer: it allows you to see both sets of data more clearly and compare them rather than having them on two different charts.
Step-by-step explanation:
Find the domain of f(x) = 3x for the range {-7, -1, 3, 11}.
=
Answer: i dont know
Step-by-step explanation:
Find the value of y that will make these two triangles congruent:
Answer:
7
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
first you'd make 4y+12=32
get rid of 12 -12 =-12
4y=20
divide 4 =4
y=5
Does anyone know this answer for 5 and 6??
Insert 3 arithmetic means between 10 and -10 (INSERT SOLUTION)
Answer:
5, 0, -5Step-by-step explanation:
Numbers in sequence are:
10, a, b, c, -10The difference between end points:
-10 - 10 = -20Common difference of 5 terms:
-20 / (5 - 1) = - 5The missing numbers are:
a = 10 - 5 = 5b = 5 - 5 = 0c = 0 - 5 = -5Michele has 5 coins Worth 0.75 in all. What coins does she have
Answer:
2 quarters, 2 dimes, and 1 nickel
Step-by-step explanation:
25 times 2 = 50
10 times 2 = 20
1 times 5 = 5 +
____________
0.75
The coins can be distributed in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Michele who has 5 coins Worth 0.75 in all.
We can distribute the coins in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
Therefore, the coins can be distributed in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
To solve more questions on Equation Modelling, visit the link below -
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I need help with this:
Answer:
if of all parallel lines can't touch
Step-by-step explanation:
hihi please solve ( will mark brainliest ❥ )
Answer:
use calculator and then solve it╮(─▽─)╭
caroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingrediant will she need. rewrite the recipe so that it will make 4 dozen cookies
recipes:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
MAKES 2 DOZEN COOKIES
Answer:
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups grimly packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoon of baking soda
1/2 teaspoon of salt
Step-by-step explanation:
You just double everything by 2
The ingredients needed to make 4 dozen cookies are written below;
3/2 cup of peanut butter
1 cup vegetable shortening
2½ cups girmly packed light brown sugar
6 tablespoons milk
5½ teaspoon vanilla extract
2 large egg
3 cups flour
3/2 teaspoon baking soda
1/2 teaspoon salt
How much of each ingrediant will she need?Recipe for 2 dozen cookies:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2
3/4 cup of peanut butter × 2
= 6/4 = 3/2
1/2 cup vegetable shortening × 2
= 2/2 = 1
1 1/4 cups girmly packed light brown sugar × 2
= 5/4 × 2
= 10/4 = 5/2 = 2½
3 tablespoons milk × 2
= 6
2 3/4 teaspoon vanilla extract × 2
= 11/4 × 2 = 22/4
= 11/2 = 5½
1 large egg × 2
= 2
1 1/2 cups flour × 2
= 3/2 × 2
= 6/2 = 3
3/4 teaspoon baking soda × 2
= 6/4 = 3/2
1/4 teaspoon salt × 2
= 2/4
= 1/2
Read more on recipe:
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can someone help me
Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0
Answer:
y=-3x+7
Step-by-step explanation:
Step 1:
Make your thing into y=mx+b
3x+y+2=0 is the same as y=-3x-2
Step 2:
Plot your point at (1, 4)
Step 3:
Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)
Step 4:
Draw your line thru the points.
See below for an image. Hope that helped
help me!!!!!!! please please please
Answer:
y and 65 is equal
y= 65°
....................
what is larger a meter or 3feet
Answer:
Meter by a bit
(b) It takes 37 pounds of seed to completely plant a 4-acre field. How many pounds of seed are needed per acre?
Answer:
9.25 lbs
Step-by-step explanation:
37 is the amount for 4 acres or 4a:
37 = 4a
Isolate and find a by dividing both sides by 4:
4a = 37
4a ÷ 4 = [tex]\frac{37}{4}[/tex]
a = [tex]\frac{37}{4}[/tex] or 9.25 lbs
Hope this helps!
- Given: C is the midpoint of AE
C is the midpoint of BD
AE = BD
=
Prove: AC = CD
A midpoint is a point that bisects a line into two equal parts.
Given that C is the midpoint of AE, hence;
AC + CE = AE ........ 1
Similarly, if C is the midpoint of BD, then;
BC + CD = BD................... 2
If AE = BD, then we will equate 1 and 2 to have:
AC + CE = BC + CD
Also since CE = BC, the equation becomes
AC + CE = CE + CD
AC = CD (Proved)
Learn more here; https://brainly.com/question/21919418
Find the angle of C
Answer:
8
Step-by-step explanation:
Answer:
∠ C ≈ 22.6°
Step-by-step explanation:
Since Δ ABC is right at B
Using the sine ratio in the right triangle
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then
∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{5}{13}[/tex] ) ≈ 22.6° ( to 1 dec. place )
Which of the following is correctly written in Standard Form?
A.) 6x - 2y=4
B.) y=6/5x + 4
C.) 6/5x + 3y= 8
D.) -6x + 3y= 8
Answer:
A. 6x-2y=4
Step-by-step explanation:
How many four-digit numbers are there for which the product of the digits is equal to 240?
Answer: Its is 1
Step-by-step explanation:
PLEASE HELP ME
The table shows the outputs, y, for different inputs, x:
Input (x) 1 2 3 4
Output (y) 5 5 7 9
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 34? (5 points)
(10 points)
Answer:
See belowStep-by-step explanation:
Part AAccording to definition of the function, the data in the table is a function. Each input value has own output and no repeat inputs.Part BAt x = 4, y = 9 (table)At x = 4, f(4) = 2*4 - 8 = 8 - 8 = 0The relation in the table has greater value as 9 > 0
Part Cf(x) = 34, find x:
34 = 2x - 82x = 34 + 82x = 42x = 21Evaluate the expression (-1/2)^3
Answer:
-1/8 is correct answer
please mark me brainliest
Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):
Answer:
x = 54° , y = 29°
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180° then
x = 180° - (72 + 54)° = 180° - 126° = 54°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of Δ CQR , then
y + 25° = x
y + 25° = 54° ( subtract 25° from both sides )
y = 29°
Answer:
x = 54
y = 29
Step-by-step explanation:
First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.
To find x,
72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)
126 + x = 180
126 + x - 126 = 180 - 126
x = 54
To find y,
25 + 126 + y = 180
151 + y = 180
151 + y - 151 = 180 - 151
y = 29
During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes.
Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the - and -axes with appropriate labels. You may use description words instead of numbers to label the graph.
Answer:
Step-by-step explanation:
352x 408 in standard algorithm
Answer:
Multiply 408 by 352.143616x
Step-by-step explanation:
Lmk if im wrong.
real world examples of:
-scalene triangle
-isosceles triangle
-perpendicular lines
Answer:
-Scalene
Nacho chipsSails on sailing boats- Isosceles
Pizza sliceRoof-Perpendicular lines
Stairs/StepsThe corner on the inside of shelvesFind the measure of the angles (S)
Please help out:/
Answer:
Step-by-step explanation:
The triangle’s angles add up to 180°
so 180 - (5x - 2) = the another one interior angle
180 - 5x + 2
182 - 5x
and then 2x + 76 + (182 - 5x) = 180
2x + 76 + 182 - 5x = 180
258 - 3x = 180
78 = 3x
x = 26
so 2x = (26)(2) = 52
5x - 2 = (5)(26) - 2 = 128
please give me a brainliest answer