You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
Learn more about Pythagorean theorem;
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What property would you use to solve for x?
(3x +60)
match the rule to the sequence
n + 5 8, 13, 18, 23, 28
5n 6, 7, 8, 9, 10
3n + 5 5, 10, 15, 20, 25
5n + 3 8, 11, 14, 17, 20
Answer:
a) aₙ = n+5 → 6,7,8,9,10....
b) aₙ = 5n → 5,10,15,20,25...
c) aₙ = 3n+5 → 8,11,14,17,20
d) aₙ = 5n+3 → 8,13,18,23,28
Step-by-step explanation:
Explanation
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n+5
Put n =1
a₁ = 1+5 =6
put n =2
a₂ = 2+5 =7
Put n=3
a₃ = 3+5 =8
and so on
The sequence 6,7,8,9,10....
b)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n
Put n=1 ⇒ a₁ = 5
put n=2 ⇒ a₂ = 10
and so on
5,10,15,20,25..
c)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5
put n=1 ⇒ a₁ =8
Put n=2 ⇒ a₂ =11
Put n=3 ⇒ a₃ = 14
and so on
The sequence 8 , 11, 14 , 17 , 20 ..
d)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3
Put n=1 ⇒ a₁ = 8
Put n=2⇒ a₂ = 13
Put n=3 ⇒a₃ = 18
and so on
The sequence 8,13,18, 23..
Please help me :( please
Answer:
I did no math but just by looking at it am like 70 percent sure it's 6.2
what is 12% as a fraction in simplest form?
Answer:
10
Step-by-step explanation:
you convert the 12% so that it becomes a fraction...it becomes 12\100 , then put it in its lowest form ...
Please help me I want a good grade!!
Answer:
a
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
To figure out if a set of angles are in a triangle, make sure they add up to 180
F) 58,70,62 58 + 70 + 62 = 190 This option is incorrect
G) 41,68,71 41 + 68 + 71 = 180 This option is correct
H) 68,60,52 68 + 60 + 52 = 180 This option is correct
J) 73,42,65 73 + 42 + 65 = 180 This option is correct
Since option F did not equal 180, F is the answer.
PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA WHAT THE ANSWER IS!!!!!!
Answer:
s X s - formula for area of square.
where two faces meet - Edge
Flat pattern of a 3d shape - Net
Shape with 3 or more sides - Polygon
If m∠VBC=(3x+4)∘, what is the value of x?
Answer:
x = 29
Step-by-step explanation:
⇒ x + ( 2 x + 2 ) + ( 3 x + 4 ) = 180 ⇒ 6 + 6 = 180 ⇒ 6 x = 180 − 6= 174 ⇒ x = 174 6 = 29
The diagram shows triangle PQR.
PSR is a straight line.
size of angle PQS : size of angle SQR = 3:1
S
Work out the size of angle PSQ
Answer:
Angle PSQ is 61°
Step-by-step explanation:
In the triangle ΔPQR, we have;
m∠QPS = 65°
m∠PRQ = 43°
Line PSR is a straight line
m∠PQS : m∠SQR = 3:1
Therefore;
∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle
∴ ∠PQR = 180° - (65° + 43°) = 72°
∠PQR = 72°
∠PQR = m∠PQS + m∠SQR by angle addition postulate
m∠PQS : m∠SQR = 3:1
∴ m∠PQS = 3 × m∠SQR
∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR
∠PQR = 4 × m∠SQR
∴ 4 × m∠SQR = ∠PQR = 72°
m∠SQR = 72°/4 = 18°
m∠PQS = 3 × m∠SQR = 3 × 18° = 54°
m∠PQS = 54°
∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem
∴ ∠PSQ = 180° - (65° + 54°) = 61°
Angle ∠PSQ = 61°.
Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.
Answer:
59.04°
Step-by-step explanation:
Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.
We solve using the Trigonometric function of Tangent
tan x = Opposite/ Adjacent
tan x= 50 ft/30ft
x = arc tan (50 ft/30 ft)
x = 59.036243468°
Approximately = 59.04°
During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he inrceased the number of parts he usually makes?
Answer:Percent Increase n the number of parts usually made = 80%
Step-by-step explanation:
Percent Increase = (Increase / Initial Number of parts made daily) X 100/1
Initial Number of parts made daily = 45
Current number of parts ,made daily = 81
Percent Increase = 81-45/ 45 x 100
=36/45 x100/1
= 0.8 x 100
= 80%
Answer:
80 percent
Step-by-step explanation:
6 13 multiply by 2 and then add 1
Answer:
1227 is correct ................................................
Step-by-step explanation:
Answer:
Is 6 part of the equation?
Ana has 296 coins in her coin collection. She
same number of coins in each of 7 jars. About how
Many coins are in each jar?
HELP QUICK. DONT PUT THE .NUMBER ANSWER PLS. PUT A SOLID ANSWER
Answer:
2,072
296 × 7 = 2,072
Step-by-step explanation:
...
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answer:
You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.
The probability of selecting a red marble the first time is 1313.
(This is because 4 out of 12 marbles are red and412412 reduces to 1313.
The probability of selecting a red marble the second time is 1313.
The marble selections are independent and you can multiply the two probabilities to get the following:
probability of getting 2 reds = (13)2(13)2
=19=19.
So the probability of getting two reds is 1919.
Two out of 15 people surveyed were left handed. Based on the data how many people would you predict to be left handed out of 405 people?
A.15
B.27
C.810
D.54
Answer: D. 54 people
Step-by-step explanation:
Since there are a total of 405 people, you first divide 405 by 15 to get 27. Then multiply 27 by 2 considering two in 15 people are left handed, and you're left with 54 people.
2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)
Evaluate the expression when b = -2 and c = 2. b - 8c
Answer:
- 18
Step-by-step explanation:
For this problem, you want to replace the letters with the values they gave you so...
b - 8c into -2 - 8 (2)
1) Simplify 8 × 2 to 16.
−2 − 16
2) Simplify.
−18
Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,
and so on. On which day will Roberta jog 13 laps if the pattern continues ?
Answer:
Sixth day
Step-by-step explanation:
Keep adding 2 until you get to 13
Here are the ingredients for making pineapple sorbet for 6 people. 800g 4 egg whites 1/2 lemon 100g cater sugar Ann makes pineapples sorbet for 9 people . workout how many pinapple she uses
63°+4x+13=180
Find the m
Answer:
y=x+10
Step-by-step explanation:
what 2 numbers multiply to 77 and add to 18
Answer:
11 and 7
Step-by-step explanation:
11+7=18, and 11 x 7=77
Hope I helped!
Answer:
i think it is 11 and 7
Step-by-step explanation:
Please help me desperately need this please please please please I will give the brainlynest
Answer:
A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240
Step-by-step explanation:
do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps
Answer:
part a. y=35x+100
part b. $140
Step-by-step explanation:
in the problem, it says 35 dollars every month making 35 the unknown
and for how much you will be spending after 4 months that would be 140 dollars
please let me know if this was wrong
hope this helps :) have a nice day !!
3 points
4.8 cm
B
3.6 cm
Calculate the length of AC.
Answer:
Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
3.6cm
Can the sides of a triangle have lengths 2, 4, 5
Answer:
yes
Step-by-step explanation:
triangles like obtuse ones dont need equal sides
Answer:
yes
Step-by-step explanation:
the two sides add up to more than the hypotenuse
The circumference of a circular garden is 28 feet. Which of the following expressions best represents the radius of the garden?
A. 28π28 over pi
B. 28(π)28 times pi
C. 282π28 over 2 pi
D. 28(2π)
Answer: The answer is ACTUALLY C
Step-by-step explanation:
REMEMBER: The radius is always half of the diameter.
So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...
SOLID PROOF:
PLS HELP PLS PLS PLS
Answer:
$ 101
It is right
Extra points for hemo
URGENT How many 1/2 inch cubes does it take to fill a box with a width of 3 1/2 inches, length of 2 1/2 inches, and a height of 1 inch?
Step-by-step explanation:
3 1/2 x 2 1/2 x 2 1/2
=?
? ÷1/2= answer
Answer:
I think the answer will be about 17 1/2 cubes needed.
Step-by-step explanation:
Hope this helps!
What equation could be written for this table?
78x − 12 = 316x + 5 what is the answer pls help
Answer:
-0.0714 approx
Step-by-step explanation:
78x − 12 = 316x + 5
Bring all the like terms together
78x -316x = 5 + 12
-238x = 17
∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)
Khloe drove 204 miles in 4 hours. if she continued at the same rate, how long would it travel 765 miles?
Answer:
15
Step-by-step explanation: