Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]
[tex]OA=BO(\sqrt{3})[/tex]
By applying tangent rule in the given right triangle BOC,
tan(60°) = [tex]\frac{OC}{BO}[/tex]
OC = BO(√3)
OA + OC = AC
[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = [tex]\frac{OD}{OC}[/tex]
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
How do I solve part A
Answer:
you have to put them in order
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
Find the sum of all natural numbers between 25 and 210 which are either divisible by 3 or divisible by 4? Please let me know I will mark you Brainliest
Let S be the sum of the integers 25-210:
S = 25 + 26 + 27 + … + 208 + 209 + 210
Let S₃, S₄, and S₁₂ denote the sums of the integers in S that are multiples of 3, 4, or 12, respectively. We'll also count how many terms each sum involves; it'll be useful later.
S₃ = 27 + 30 + 33 + … + 204 + 207 + 210 … … … (62 terms)
S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)
S₄ = 28 + 32 + 36 + … + 200 + 204 + 208 … … … (46 terms)
S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)
S₁₂ = 36 + 48 + 60 + … + 180 + 192 + 204 … … … (15 terms)
S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)
Let's look at S₃ :
S₃ = 3 (9 + 10 + 11 + … + 68 + 69 + 70)
By reversing the order of the sum, we get
S₃* = 3 (70 + 69 + 68 + … + 11 + 10 + 9)
Of course S₃ = S₃*, I'm just calling it something else temporarily. Notice that every term in the same position of either sum adds up the same number.
9 + 70 = 79
10 + 69 = 79
11 + 68 = 79
and so on. Then
S₃ + S₃* = 3 (79 + 79 + 79 + … + 79 + 79 + 79)
or
2S₃ = 3 × 62 × 79 ==> S₃ = 7,347
We can compute the other two sums in the same way.
S₄ = 4 (7 + 8 + 9 + … + 50 + 51 + 52)
S₄* = 4 (52 + 51 + 50 + … + 9 + 8 + 7)
==> 2S₄ = 4 × 46 × 59 ==> S₄ = 5,428
S₁₂ = 12 (3 + 4 + 5 + … + 15 + 16 + 17)
S₁₂* = 12 (17 + 16 +15 + … + 5 + 4 + 3)
==> 2S₁₂ = 12 × 15 × 20 ==> S₁₂ = 1,800
Then the sum you want is
S₃ + S₄ - S₁₂ = 10,975
We subtract S₁₂ because each of its terms is counted twice (once in S₃ and again in S₄).
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answer:
No adda doesnt get free delivery
Step-by-step explanation:
Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.
Step-by-step explanation:
What are 3 expressions equivalent to 4x-2
Answer:
1 2x-4,x-42,2-4x I hope it will help you please follow me
if p(x) = x²+4x-3,then evaluate p(2)-p(-1)+p(1÷2)
Answer:
2
Step-by-step explanation:
13. please help with this
Answer:
Looking at the question and goin step by step
we get to know that equation formed wud be ->
product of nine and a number - 9*x = 9x
added to 6 => 9x+6
gives us 24
so
9x + 6 = 24
now 9x = 18 and x = 18/9 = 2
and now keeping x value = 9 *(2)+6 we get 18+6 = 24
so lhs = rhs = 24
9x+6=24 option a
A. A polynomial of the 5th degree with a leading coefficient of 3 and a constant of 2.
1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2013). The Jaspers reside at 4639 Honeysuckle Lane, Los Angeles, CA 90248. David's Social Security number is 577-11-3311, Darlene's is 477-98-4731, and Sam's is 589- 22-1142. David's birthdate is May 29, 1986 and Darlene's birthday is January 31, 1988. David and Darlene's earnings and withholdings for 2019 are: David: Earnings from Apple Company (office man
Answer:
hi
Step-by-step explanation:
helppppppppppppppppppp helppppppppppppp
HOPE ITS HELPFUL ^_^
•RHONAWhat is the factored form of 3x+24y?
3(x+8y)
3xy(x+8y)
3(3x+24y)
3xy(3x+24y)
HELP!!
Answer:
A is the answer to your question
Step-by-step explanation:
To do this, just distribute the 3 to each of the coefficient and see if it would result in the same coefficients in the original expression.
Can someone help me please!
Answer:
[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]
I hope I helped you ^_^
The answer ; √ –108 = √108 × √–1 = 6i √3
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
What is an equation of the line that passes through the points (-2,8) and (1, -1)?
Answer:
y = -3x + 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 8 / 1 - (-2)
-9/3
= -3
y = -3x + b
-1 = -3(1) + b
-1 = -3 + b
2 = b
Cole deposits $500 into his savings account. The bank pays him 2% interest on the amount he has in his account. What expression would you
use to find the total Cole has in his account?
Answer:
500*2%=10
500+10=510
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree
Answer:
16 degrees
Step-by-step explanation:
Tan(?) = perpendicular/base
Tan(?) = 13/46
?=arctan(13/46)=16
Solve the equation.
3х - 6 = 6x - 9
Answer:
x=1
Step-by-step explanation:
3х - 6 = 6x - 9
Subtract 3x from each side
3х-3x - 6 = 6x-3x - 9
-6 = 3x-9
Add 9 to each side
-6+9 = 3x-9+9
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
Answer:
3x-6=6x-9
3x-6x=-9+6
-3x=-3
-3x÷-3=-3÷-3
x=1
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
A
x=−8 and x=−2
B
x=−6 and x=10
C
x=−4 and x=4
D
x=−2 and x=6
Answer:
x= -2 and x = 6
Step-by-step explanation:
The solutions are where the two graphs intersect
x=6, y= 10 is one point
x=-2 and y = -6 is the other point
The intersection points of both the equations are the solutions
From the graph the points are
(6,10)(-2,-6)Hence
x=-2 and x=6 are the solutions
Option D
30PTS PLEASE I NEED HELP Factor completely: 64y^3 -729z^3
Answer: (4y-9z)( 16y^2 + 36yz + 81z^2 )
=======================================================
Explanation:
We'll use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
In this case,
a^3 = 64y^3 which leads to a = 4yb^3 = 729z^3 which leads to b = 9zSo,
a^3 - b^3 = (a-b)(a^2+ab+b^2)
64y^3 - 729z^3 = (4y-9z)( (4y)^2 + (4y)(9z) + (9z)^2 )
64y^3 - 729z^3 = (4y-9z)( 16y^2 + 36yz + 81z^2 )
(8
10-7) - (-6.25 • 10-2)
Answer:
362
(8
10-7) - (-6.25 • 10-2)
I don’t get itttttttttt
Answer:
<1 = 65
Step-by-step explanation:
Exterior angle thm:
40 + 3x = 5x - 10
3x - 5x = -10 - 40
-2x = -50
x = 25
5x - 10
5(25) - 10
125 - 10
115
180 - 115
65
Answer:
65
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180°.
3x + 40 + m<1 = 180
3x + m<1 = 140
<1 and the angle measuring 5x - 10 are supplementary angles, so the sum of their measure is 180°.
m<1 + 5x - 10 = 180
Solve for m<1 and substitute in equation above.
m<1 = 190 - 5x
3x + 190 - 5x = 140
-2x = -50
x = 25
m<1 = 190 - 5x
m<1 = 190 - 5(25)
m<1 = 190 - 125
m<1 = 65
Factor X squared minus 2X -80
Answer:
(x - 10)(x + 8)
Step-by-step explanation:
x² - 2x - 80
Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)
The factors are - 10 and + 8 , since
- 10 × 8 = - 80 and - 10 + 8 = - 2 , then
x² - 2x - 80 = (x - 10)(x + 8)
A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound
Answer:
1,300 lb.
Step-by-step explanation:
V = 9 × 12 × 14.5 = 1566 ft³
1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.
If two lines represent the same line, then what is the nature of its solution?
Step-by-step explanation:
If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .
Answer:
Infinite
Step-by-step explanation:
Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.
Please help! Math question!
Answer:
n=4
Step-by-step explanation:
3n - (2+n) = 6
Distribute the minus sign
3n -2-n = 6
Combine like terms
2n-2 =6
Add 2 to each side
2n-2+2 = 6+2
2n = 8
Divide by 2
2n/2 = 8/2
n=4
There are 45 pupils in a competition. 2/5 of the pupils are girls. How many boys are there in the competition?
Answer:
45 * 3/5 = 135/5 = 27
Step-by-step explanation:
Need answer asap algebra 2
Answer:
A
Step-by-step explanation:
The vertex is at (2,1) The two is the important feature to start with. That means that the point is 2 away from the y axis. That goes to the left to get to the y axis.
The get the mirror image of that 2, you have to go two to the right to get to the point that mirrors (0,4). The y value has to be the same as the y intercept. So x must be 4 and y needs to be 4.
The answer is (4,4)
In case you are interested, the graph (given below) is y = 0.75 (x - 2)^2 + 1
The y intercept is 0,4 and the vertex is 2,1
Likes s and t are perpendicular if the slope of line s is 5 what is the slope of line t?
Answer:
Gradient of line t is -1/5
Step-by-step explanation:
[tex]{ \sf{m _{s} \times m _{t} = - 1}} \\ { \sf{5 \times m _{t} = - 1 }} \\ { \sf{m _{t} = - \frac{1}{5} }}[/tex]
Please help explanation if possible
Answer: 2 goes in the box
The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.
