Using relations in a right triangle, it is found that the length of the zip line is of 40.4 feet.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.This situation can be modeled by a right triangle, in which the extension of the zip line of 48.2 feet is the hypotenuse and the length is the adjacent side to the angle of 33º, hence:
[tex]\cos{33^\circ} = \frac{l}{48.2}[/tex]
l = 48.2 x cos(33º)
l = 40.4.
The length of the zip line is of 40.4 feet.
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calculate the area of the triangle so yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
A= 99
Step-by-step explanation:
CAN I PLEASE NOT HAVE TO DO A FREE TRIAL
Answer: u don’t have to do it at all like u don’t have to do anything on brainly
Step-by-step explanation:
The minute hand on a watch is 14 millimeters long. In the
of Y
Jourse
of an hour, how much area does it cover? Leave answers in terms of pi
A)
77 mm
B)
2871 mm
c)
497 mm2
D)
19671 mm
Answer:
the answer is the number of the color of the alphabet 2871 mm
the average of 21, 18, 16 and x is 20. what is the value of x?
Answer: 25
Step-by-step explanation:
21 + 18 +16 + X = 20×4
55 + X = 80
X = 80- 55
Answer:
21.75
Step-by-step explanation:
21- 16 = 5
5/2 2.5
16 + 2.5 or 21 - 2.5
18.5 - 18 = .5
1/2 times 1/2 =
1/4
1/4 = .25
18.5 - .25 or 18 + .25
18.25
20 - 18.25 = 1.75
1.75 + 20
21.75
estimate the value of 1573 + 1211
- 697.
Answer:
2087Step-by-step explanation:
1578+1211-697 2784-697 =2087 this is my answerLearning Task 2 A. Calculate the mean, median and mode. (3 points each) 1.) 1, 2, 3, 4, 5 2.) 2, 3, 4, 5, 6, 6 3.) 6, 7, 5, 4, 5, 6,2, 5
Answer:
the median will be 5
the mode will be 1300
the mean is I don't know.
Step-by-step explanation:
I don't know exactly but I am trying
NEED HELP ASAP
3(x+2)=18
Answer:
x=4
Step-by-step explanation:
3x + 6 = 18
3x = 18 - 6 = 12
x = 4
5. a) Among 72 students, 24 are selected to participate in music only, 26 are selected to participate in dance only and none of them participated in both activities. The rest of the students are selected in other activities. (i) How many students are participating in other than music or dance?
Answer
The students participating in other than music or dance = 22
Step by step explanation
Total number of students = 72
No. of students participating in dance = 26 (let them be 'a')
No. of students participating in music = 24 (let them be 'b')
No. of students participating in othe na than dance or music = 'c'
72 = a+b+c
= 26+24+c
= 50 + c
c (no. of students participating in other activities)
= 72 - 50 = 22
If angles a & b are vertical angles and the measure of angle a is 123 degrees and the measure of angle b is 3x, what is the value of x?
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41
True or false: If Gis the incenter of A ABC, then
GD = GE = GF.
--
B
E
G
А
c
F
F
O True
O False
Answer:
False
Step-by-step explanation:
That is not what an incenter is
The length GD, GE, and GF are the radius of the circle. Then GD = GE = GF is true. Thus, option A is correct.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The G is the intersection of the bisector lines. So, the G represents the center of the incircle.
The incircle will touch all three sides of the triangle. And the distance between the center of the circle to the sides of the triangle will be known as the radius and tangent to the circle.
Then we can write a condition for a circle. Then we have
GD = GE = GF = Radius
The length GD, GE, and GF are the radius of the circle. Then GD = GE = GF is true. Thus, option A is correct.
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Tyrell has a bankruptcy on his credit report and therefore pays higher interest rates on his current loans. he calculates that the extra money he pays in additional interest each year, if invested at the rate of 2.5% for one year, could earn him simple interest totaling $300. how much does tyrell pay in additional interest each month? a. $90 b. $100 c. $1,000 d. $12,000 please select the best answer from the choices provided. a b c d
Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.
How much is Tyrell paying in additional interest?Assuming the additional interest that Tyrell is paying is x, the following formula can be used:
300 = (x × 2.5%) x 12 months
Solving gives:
300 = 0.025x × 12
0.025x = 300/12
x = 25 / 0.025
x = $1,000
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Answer:
1,000
Step-by-step explanation; trust me
. The following set of ordered pairs represents y as a function of x. Which
the following could be
the missing ordered pair?
{(9, 8), (-2, -14), (6, 2), (-3, -16), (_,_}?
Answer: Justice
Step-by-step explanation: The answers justice
Answer quickly please I really need this answer right now
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 2 yellow marbles
• 4 purple marbles
A student draws a random marble from the bag, records its color, and returns
it to the bag. The student makes a total of 60 draws. What is a reasonable
prediction for the number of times a green marble will be drawn?
O A. 18
O B. 10
Ос. 9
O D. 12
Answer:
Answer Choice A (8, eight)
Step-by-step explanation:
To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.
The number line shows the locations of points P 0. R. and S 털 HR & -7 -6 = Which points have a distance of 5 units between them? A. point P and point S B. point Q and point R C. point Q and point S D. point R and points
Answer: point P and point S
Step-by-step explanation:
took the test
Answer:
to be honest i don't know sorry
Step-by-step explanation:
Question
Consider the rectangle.
The x and y axes have a range from negative 7 to 7 in increments of 1. A rectangle is on the coordinate plane.
Which points could be the vertices of the image of the rectangle after it is dilated from the origin by a scale factor of 3? Select all that apply.
Answer:
Step-by-step explanation:
Dilating with a scale factor of 3 centered at the origin means we multiply all the coordinates by 3.
(0,2) maps onto (0,6).(0,4) maps onto (0,12).(3,2) maps onto (9,6).(3,4) maps onto (9,12).Therefore, the answers are the second option and the sixth option.
The axis of symmetry for the graph of the function f(x)=3x2 bx 4 is x equals three-halves. what is the value of b? −18 −9 9 18
Using the vertex of the quadratic equation, it is found that the value of b is of -9.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
The axis of symmetry is [tex]x = x_v = -\frac{b}{2a}[/tex].
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, we have that the function is defined as follows:
[tex]f(x) = 3x^2 + bx + 4[/tex]
We have that [tex]a = 3, x_v = \frac{3}{2}[/tex], hence the value of b is found as follows:
[tex]x = -\frac{b}{2a}[/tex]
[tex]\frac{3}{2} = -\frac{b}{6}[/tex]
b = -6 x 3/2
b = -9.
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Solve th simultaneous equations
3x + y = 17
2x +y = 12
Answer:
I can't I'm blind and Def
An airport in Death Valley is 60 feet below sea level, and an airplane is flying at 2000 feet above sea level.
How many feet must the plane descend in order to land?
A.2060
B.2000
C.1940
D.1880
E.1400
Answer:
A
Step-by-step explanation:
Sea level is defined as 0 ft and anything above or below is not sea level so
So . .
If the landing strip is 60 feet below sea level and the plane is flying 2000 feet above sea level just add them together
60 + 2000 =2060According to attachment
B is sea levelA is planeC is airportDistance
AB+AC2000+602060ftFind the equation of the line that
is parallel to y = -5x – 9 and
contains the point (-3, -3).
=
-
-
y = [? ]x + [ ]
Pls help I’ll mark brainliest
- - - -- - - - - - - - - - - - - - - -- - - - - -- - - - - - - -- - - - - - - -- - - - - --
[tex]\blue{\textsf{\textbf{Question:-}}}[/tex]
What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First of all, parallel lines have the exact same slope.
So we know the slope of the line:- -5.
(enter -5, It's the number that belongs in the green box)
How about the y-intercept?
Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Good luck.- - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - -
The equation of line which is parallel to y= -5x - 9 is y=-5x-18.
What is equation of line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.
Given:
y= -5x - 9 passes the point (-3, -3)
As, the slope of parallel lines are
m1 = m2 = -5
Now, if the point (-3, -3) intersects the line then equation in point-slope form is
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Hence, the equation of line is y=-5x-18
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Here is a table showing all 52 cards in a standard deck.
Face cards
Color Suit Ace Two Three Four Five Six Seven Elght Nine Ten Jack Queen King
Red Hearts AY 2 3 4 5 6 7 8 9 10 JY Qv Ке
Red Diamonds A. 2. 30 . 5. 6.
8. 9. 10. J. Q.
Black Spades A. 2. 34 4 58 68 7 84 9. 10. JA Q К.
Black Clubs At 21 34 46 54 64
84 94 104 JA Q4 К.
40
K.
ささき
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the
deck.
What is the probability that both of the cards are black?
Do not round your intermediate computations. Round your final answer to four decimal places.
Х
5
?
Check
Save For Later
Submit A
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hD
Probability helps us to know the chances of an event occurring. The probability of two cards being black without replacement is 24.5%.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the standard deck has 26 black cards while the total number of cards is 52. Therefore, the probability of two cards being black without replacement is,
Probability = (Probability of the first card is black) × (Probability of the second card being black)
Probability = (26/52) × (25/51)
Probability = 0.245 = 24.5%
Hence, the probability of two cards being black without replacement is 24.5%.
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Please help I don’t understand how to solve 13 and 14
Answer:
b. 4x + 22
Step-by-step explanation:
(x+5) + (x+5) + (x+6) + (x+6) = 4x + 22
80 PTS
In the triangle below X=[?] cm. Round to the nearest tenth.
Answer:
x = 8.6 cm
Step-by-step explanation:
To find x, we need to take the sin ratio of the 35° angle.
Identity
sin∠x = opposing side length / length of hypotenuseSolving
sin35° = 0.57sin35° = x/15⇒ x/15 = 0.57⇒ x = 15 × 0.57⇒ x = 8.55 cm⇒ x = 8.6 cmJohn paid $7.99 for 3 boxes of cereal. The tax was $1.69. Excluding tax, how much did john pay for each box of cereal if they all were the same price.
see attachment below.
27.2 in.
Step-by-step explanation:
Using 2 pi r theta over 360°
Arc length =2/3 x pi x 13 in.
=27.227136 in.
6, 2, 8, 4, 9
How would the median change if the 6 was replaced by a 3?
Answer:
4
Step-by-step explanation:
first you put them all in smalet to bigest so it would be 2, 4, 6, 8, 9 but if them 6 was 3 it would be 2, 3, 4, 8, 9
median is the middle numder
Hope This Helped
Find its x-coordinate.
Answer:
2.5
Step-by-step explanation:
The formula to find the midpoint of a line segment: [tex](\frac{1}{2}x_{1} + \frac{1}{2}x_{2}, \frac{1}{2}y_{1} + \frac{1}{2}y_{2})[/tex]
Where:
[tex]x_{1} = -5\\x_{2} = 10\\y_{1} = 9\\y_{2} = 8[/tex]
1) Substitute the values into the midpoint formula.
[tex](\frac{1}{2}*-5 + \frac{1}{2}*10, \frac{1}{2}*9 + \frac{1}{2}*8)[/tex]
2) Solve it.
= [tex](-2.5 + 5, 4.5 + 4)[/tex]
= (2.5, 8.5)
b) Write 25 x 10^6in standard form.
Answer:25,000,000
Step-by-step explanation: add 6 zeroes behind the 25
Mr. Greg had $300 to
purchase equipment
for summer camp. He
bought 6 basketballs
and 6 soccer balls.
Each basketball cost
$16.98, and each
soccer ball cost
$13.79.
Answer:
c
Step-by-step explanation:
6 x 16.98 = 101.88
+ 6 x 13.79 = 184.62
300 - 184.62 = 115.38
Answer:
$115.38
Step-by-step explanation:
6×$16.98=$101.88=cost of basketballs
6×$13.79=$82.74=cost of soccer balls
cost of basketballs + cost of soccer balls = total cost
$101.88+$82.74=$184.62
money to purchase - total cost = leftover money
$300.00 - $184.62 = $115.38
hope this helps
please can i get brainliest
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a
scale factor of k to obtain a solid with surface area 24 square meters.
Find the value of k which leads to an image with the given surface area.
Find the volume of the dislates solid
Answer:
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.
helppppppppppppppppppppppppp
Answer:
Hope this helps
Step-by-step explanation:
72 - 75 = 4
76 - 79 = 3
80 - 83 = 5
84 - 87 = 1
88 - 91 = 3