Answer:
the length of ac is 16.
Step-by-step explanation:
Given;
A is right angle, = 90⁰
B is 30⁰
ab = 16√3
C
↓
↑
A → ← B
If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.
The length of ac is calculated as follows;
[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]
Therefore, the length of ac is 16.
HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
Answer:
Part A
C. 7.25Part B
B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.Step-by-step explanation:
Given data:
299, 281, 285, 269, 280, 269, 286, 287Part AFind the mean of the data above:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282Find absolute deviations, an absolute value of the difference of data and the mean:
299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5Find mean absolute deviation:
(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25Correct choice is C
Part BLess mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
14476 as a percentage
Answer: 1447600%
Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign
The Flying Dutchman, located in St. Martin, is the steepest zipline in the world. While sailing downhill at 56 miles per hour, you lose 1,050 feet of elevation across 2,800 feet of cable. If you are at the top getting strapped in, what is the angle of depression between you and a safe landing at the bottom? (Drawing a diagram may help.)
Answer:
Sine angle A = 1,050 / 2,800
Sine angle A = .375
arc sine (.375) = Angle A
Angle A = 22.024 Degrees
(THIS REPLACES THE PREVIOUS ANSWER.)
Step-by-step explanation:
Need help with 9th-grade math. Algebra 1
A ball is thrown in the air. The path of the ball is represented by the equation h=-t^2+8t, where t represents time in seconds and h represents the height of the ball in meters.
What is the maximum height of the ball?
How long is the ball in the air for before it hits the ground?
Answer:
a) 16 meters ; b) 8 seconds
Step-by-step explanation:
The function can be represent with a parabola whose vertex is its maximum point
for answer the first question we have to find the y of the vertex
first of all we have to find the x
Vertex (x) = -b/2a = -8/-2 = 4
if we substitute t with 4, we can find the y
Vertex (y) = -(4^2) + (8*4) =
= -16 + 32 = 16
so the answer is 16 meters
for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:
-t^2 + 8t = 0
t^2-8t = 0
t(t-8) = 0
t = 0
t = 8
the parabola intercept the x axis in (0,0) and in (8,0)
if we find the distance between this two points we can answer to the question
8-0 = 8 seconds
Answer:
y are you ga
Step-by-step explanation:
What number must be divided by 15 3/4 so that the quotient is 60?
Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?
Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)
Answer:
Associative property of addition. Grouping different addends does not change the sum.
Step-by-step explanation:
5 + 2 + 3 = 5 + (2 + 3)
10 = 5 + (5)
10 = 10
pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.
Answer:
I belive it is Parellelogram
what’s the value of x
a. 25°
b. 50°
c. 55°
d. 75°
e. 80°
Answer:
7 × 5 × 8 + 25% of 996 (a) 25 (b) 13 (d) 17 (e) 23 70. ... If maximum marks for each subject are 100 then find what percentage of total marks ... Then find the value of X ? (a) 6 months (b) 9 months (c) 8 months (d) 7 months (e) 10 months 79. ... Maths Paul 75 65 90 55 Aditya 70 85 60 Neeraj 80 50 85 95 Sandy 55 65 70 65 71.
Step-by-step explanation:
Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)
a
10z = 6
b
10z = 10
c
4z = 6
d
4z = 10
Answer:
a part
Step-by-step explanation:
Answer is attached....
Hope it helps:)
In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?
Answer:3/2
Step-by-step explanation:
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
https://brainly.com/question/14361606
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what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
Does anyone know the answer to question 6?
Answer:
35
Step-by-step explanation:
(PLEASE HELP)
Find the area of the triangle.
Answer:
3.15km²
Step-by-step explanation:
A = bh/2
Does anyone know how to do this
a1=9
a_n= a_n-1 -4
number 2 and number 3
2. What is the slope in this equation? y =2x +1
y
2
х
1
Answer:
the slope equals 2. otherwise known as the coefficient of x.
Find the slope of the line that passes through points (4,5) and (3,-4)?
Answer:
slope=9
Step-by-step explanation:
whole equation=y = 9x – 31
hope that helps
please mark as brainliest if correct
thank you
have a great day/night
Solve for x if: y = -6 and -10x + 7y = 18
A) 8
B)-18
C)-6
D)9
Answer:
Step-by-step explanation:
-10x+7(-6)=18
-10x-42=18
+42 +42
___________
-10x/-10=60/-10
x= -6
HELP ME ASAPPPPPPPPPPPPPPP
Answer:
a because i said so trust me
Step-by-step explanation:
Answer:
The number of students that the club needs is at least 8
Step-by-step explanation:
The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B. 25%
Step-by-step explanation:
Total 16 students
4 scored above 90
so 4/16= 0.25
Answer: 25%
plz mark me as brainliest.
Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay
Answer: c. during several storms, there were five hours of delay for every eight hours of rain
Step-by-step explanation: i just had this question
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.
B. What is the surface area of Zara's sandwich? Show your work.
C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
If 4c + 10= 20 -16c, what is 8c?
In January, Mrs Jones's business had spent $480 on raw materials. Based on the information in graph, how much money was spent on expenses in March?
Answer:
There is no graph
Step-by-step explanation:
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.