Answer:
Step-by-step explanation:
If we draw radii from the center of this 18-gon to each vertex, we end up with 18 triangles that are all congruent to each other. If we divide 360 by 18 we get the measure of the vertex angle of each of these 18 triangles. 360/18 = 20. So we take one of these triangles and pull it out and use it as a representative triangle from which we use trig to find its height and its base length.
The formula for the area for a regular polygon is
[tex]A=\frac{1}{2}ap[/tex] where a is the apothem (the height of our triangle) and p is the perimeter (found from the base of our triangle).
If we split this triangle we extracted right down the center vertically, we get 2 right triangles. Pull one of those out and this is the triangle we work with. The vertex angle is split in half and it now measures 10. The one base angle is the right angle and, by the Triangle Angle-Sum Theorem, the other base angle is 80. To find the height (or the apothem) of this right triangle that has a hypotenuse of 1 (the radius of the polygon is the hypotenuse of the right triangle), we use the sin or cos ratio. I used cos:
[tex]cos10=\frac{a}{1}[/tex] so
a = .9848
To find the base of this right triangle, I used the sin ratio:
[tex]sin10=\frac{p}{1}[/tex] so
p = .1736. But this is only half the length of one of the sides of the polygon, so multiply it by 2 to get the length of the whole side.
.1736 * 2 = .3473
Now, in order to find the perimeter, we multiply that one side by 18 to get
p = 6.2514
Now we're ready to find the area:
[tex]A=\frac{1}{2}(.9848)(6.2514)[/tex] so
A = 3.078 square feet
3. Solve the system of equations without graphing. Show your reasoning.
ſ 2y = x - 4
4x + 3y = 5
Answer:
X=2, y=-1
Step-by-step explanation:
2y=x-4 equation 1
4x+3y=5 equation 2
x=2y+4 isolate x in equation 1
4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2
8y+16+3y=5
11y=-11
y=-1
solve for x by inputting y value into either equation
2y=x-4
2(-1)=x-4
-2=x-4
2=x
The sum of 4 and y divided by 5 equal to 9. Find the value of y.
Answer:
y = 41
Step-by-step explanation:
When you add 41 and 4, you would get 45.
When you divide by 5, it will be equal to 9:
45 ÷ 5 = 9
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Have a great summer :)
What is least common multiple of 15, 14, and 7
Answer:
210
Step-by-step explanation:
15 = 3 x 5
14 = 2 x 7
7 = 7
LCM = 3 x 5 x 2 x 7 = 210
Answer:
210
Explanation:
find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
Please help me with this problem
Answer:
3.14 x 4 x 4
= 3.14 x 16
= 50.24
Answer:
50.24
Step-by-step explanation:
A=πr²
= (3.14)(4)²
= 50.24
Which of the following is furthest to the left on the number line?
-6.5
-5
-6.7
-6 help mee
Answer:
6.7 is farthest to the left of the line
The quantity five times a number y decreased by twelve. Group of answer choices 5y - 12 12 - 5y 12y - 5 12 + 5y
Answer:12 - 5y
Step-by-step explanation:
The quantity five times a number y decreased by twelve means that 5 multiplied by a number is subtracted from 12, it also means that 12 minus 5 times a number y and can be written mathematically as
12 - 5y
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer:
C
Step-by-step explanation:
Find a number which in which added square
sum will be 72.
Answer:
8.48528137424^2
Step-by-step explanation:
8.48528137424x8.48528137424
= 72
angles 1 and 2 are completely and congruent what is the measure of angle 1
Answer:
180
Step-by-step explanation:
If the awnsers are equal and make a full 360 angle, the angle of one of them is 180 because that is half of 360.
What are the solutions of the equation ( X -25 )^ 2 equals 36
Answer:
x = 31, x = 19
Step-by-step explanation:
[tex](x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19[/tex]
The following triangle is and
isosceles
scalene
equilateral
——————
right
acute
obtuse
Answer:
isosceles
right
Step-by-step explanation:
The two legs (not the hypotenuse) are marked as equal. So the triangle is at least isosceles (choice of the top three)
The square in the bottom left corner is used as the symbol for a right angle. So this triangle is a right triangle.
Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)
Step-by-step explanation:
1) y = -x+4
2) y-4= -2(x-3)
y = -2x+6+4
y = -2x+10
3) slope = (3+1)/(9-1) = 4/8=½
the Equation =>
y+1= ½(x-1)
y = ½x -½-1
y = ½x - 1½ or 2y = x -3
what is the length of BC?
A. 9 units
B. 11 units
C. 15 units
D. 16 units
Answer:
15units
Step-by-step explanation:
BC is: 5x=5×3=15 units. so,Length of BC=15 units
please help meeeee:(((
Answer:
d................. I'm not so sute
Un terreno tiene forma rectangular como se muestra en la siguiente figura. ¿Cuál es la expresión que representa el área del terreno? A. a2+2a+2 B. a2−2a−8 C. a2−8a−8 D. a2−8a+15
Answer:
si 2
Step-by-step explanation:
what is a kite? what are its properties? what is its use in our daily life?
Answer:
Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string
A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.
Every point on a circle is the same distance from a single location. What is
that location called?
Answer:
The center.
Step-by-step explanation:
That point is the center of the circle.
Hope that this helps!
HEYYYYT guys I probably know that your tired of me but u only have 2 question left :( I'm sorry guys
Answer:
There is no right answer in the option choice if you would want to find the area of the figure.
Step-by-step explanation:
5*12 = 60
11*6 = 66
60+66 = 126 square feet
if sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:
Answer:
A. csc 0 = -5/4 or B. cos 0 = 3/5
Answer:
B or A
Step-by-step explanation:
sec(theta) = 1/cos(theta)
cos(theta) = adjacent side / hypotenuse.
The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus
Since the cos(theta) is positive in quad 4, B is going to be the answer.
The value for sin(theta) should be sin(theta) = - 4/5 not 2/5
Tan(theta) = - 4/3
Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.
a^2 + b^2 = c^2
a = the adjacent side = 3
b = the opposite side = b
c = the hypotenuse = 5
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4
answer please answer
Answer:
Step by step explaination:
Function A:
When x=5, y=17
x=4, y= 17-4=13
So x=3,y=13-4=9
and then,
x=2, y= 9-4=5.
Function B:
When x=2, y= 2.
Therefore, when x=2 then Function A is greater than Function B.
57.
Peter shared the cost of dinner equally with 3 of his friends. When he was calculating the
amount that each of them should pay, he divided the cost by 2 instead of 4. In the end, each
boy paid $11.40. Find the correct amount for each share.
Answer:
$5.70
Step-by-step explanation:
→ Find the total amount they needed to pay
11.40 × 2 = 22.80
→ Divide the total by 4
22.80 ÷ 4 = $5.70
a cell phone plan charges a base fee of $62 and an overage charges $30 per gigabyte of data that exceeds 2 GB
The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 12.5 cm.
Answer:
Length = 42.5 cm
Step-by-step explanation:
length of rectangle = 5 + 3w
So l = 5 + 3w where w = 12.5
Equation:
L = 5 + 3(12.5)
Solving the Equation:
L = 5 + 3(12.5)
L = 5 + 36 + 1.5
L = 42.5
Length: 42.5 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.
Answer and Step-by-step explanation:
The circumference formula for a circle is:
C = [tex]2\pi r[/tex]
Plug 35 in for r (radius) and solve.
C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]
So, approximately 219.9 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
A triangle has sides with lengths of 5 kilometers, 11 kilometers, and 12 kilometers. Is it a right triangle?
Answer:
Step-by-step explanation:
to prove it right angle
square of largst side must be eqaul to the sum of two other sides.
so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.
(12)^2=(11)^2+(5)^2
144=121+25
144=146
since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.
What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
There are x students trying out for a solo in a chorus concert. Only 6 will be chosen. How many students will not be chosen? Please write down the Algebra expression and answer please and thank you.
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
How do you solve Algebraic Expressions?A mathematical expression with variables and/or numbers is called an algebraic expression. It can be simplified even if it cannot be solved since it lacks an equals sign (=). Algebraic equations, which have algebraic expressions divided by an equals sign, can be solved. Recognize the distinction between an algebraic equation and an algebraic expression. A mathematical expression called an algebraic expression can have variables or integers in it. be able to combine similar phrases. Adding up (or removing) the terms with the same degree is all that is required to combine related terms. All x2 terms can be mixed with other x2 terms, and all x3 terms can be coupled with x3 terms, according to this.
Calculationx students are trying in a chorus concert.
Only 6 students will be chosen.
so the answer for the given question=x-6
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
To refer more about Algebraic expressions, visit:
https://brainly.com/question/4344214
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How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer