Answer:
18.44°
Step-by-step explanation:
The line of sight of the player to the rim, the height of the eyes of the player above the floor, the distance of the player from the center of the rim and the height of the center of the rim above the ground form a trapezium. The height of the center of the rim above the ground and the height of the eyes of the player above the floor form parallel sides.
Since The height of the center of the rim above the ground = 10 ft and the height of the eyes of the player above the floor = 5 ft, the height of the triangular part of the trapezium is 10 ft - 5 ft = 5 ft. The base of this triangle is parallel to the side of distance of the player from the center of the rim = 15 ft. So the base of this triangle is 15 ft. Since the angle of elevation Ф of the line of sight of the player to the rim is adjacent to this base = 15ft and opposite to the height of the triangle = 5ft,
By trigonometric ratios,
tanФ =opposite/adjacent = 5 ft/15 ft = 1/3
Ф = tan⁻¹(1/3)
Ф = 18.435°
Ф ≅ 18.44°
Hiiioo can someone please help!❤️❤️❤️:)
Loren made a scale map of his football field to prepare for the big game. The length
of the football field on his map was 3 in. In reality the football field is 100 yards long.
What is the scale factor?
Answer:
1200
Step-by-step explanation:
brainliest please :D
I will give brainliest, I just need to see if my answer I wrote down was correct
Answer:
143m
Step-by-step explanation:
HELP ASAP ILL MARK BRAINLIEST
Answer:
300 voters
Step-by-step explanation:
1000 x 0.30 = 300
Answer:
300
Step-by-step explanation:
I WILL AWARD BRAILLIEST PLEASE HELP ASAP!!
Giorgio is learning to play the piano. By the end of each month, he has learned 3 new songs.
Part A Graph 5 points on the coordinate plane below that show the total number of songs Giorgio has learned by the end of each month from month 1 to month 5.
Which equation represents the relationship between the independent variable, x , and the dependent variable, y?
Answer: y = 3x
Step-by-step explanation:
The answer is y=3x because every month Giorgio learns a new song. so for the first month they learned 3 songs and in the second month they learn 3 more that adds up to 6 song total, so if you just times the month by 3 you will get your answer.
Answer
the way you have it there is right for the giorgio and for the second one it will be x=3x
what % of $4 = $1
Please hurry
Answer:
25%
Step-by-step explanation:
The answer is 25%
hope that is right..
1) The assistant principal at the girl’s school wants to determine which type of snack to give out to the entire Girls School population during their next assembly. Which survey method would produce the best representative sample?
a. survey every fifth person who goes outside during lunch period
b. survey all the students on the debate team
c. survey every tenth student entering the school one morning
d. survey all the students who go to the mall one weekend
Answer:
C
Step-by-step explanation:
Due to the fact that you are surveying more people and that those people are differentiated there will be a more representative answer rather than a biased one.
Answer:
c
Step-by-step explanation:
you have a higher number therefore more results.
A stadium has two sections, A and B.
Tickets for Section A costs Sa each.
Tickets for Section B costs $b each.
John paid $105 for 5 Section A tickets and 3 Section B tickets. Rita paid $63 for 4 Section A
tickets and 1 Section B tickets.
ii)
Write 2 equations in a and b to represent the information above.
Calculate the cost of a Section A and Section B ticket using the Elimination / Addition
Method.
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the area of the rectangle is 22 square inches, what is the value of the unknown number?
Given:
Short sides of a rectangle = 2 inches.
Area of the rectangle = 22 square inches.
The long sides of the same rectangle are three less than an unknown number of inches.
To find:
The unknown number.
Solution:
Let x be the unknown number. Then the longer side of the rectangle is (x-3) inches.
We know that the area of a rectangle is
[tex]A=length\times width[/tex]
The area of the rectangle is 22 square inches.
[tex]22=2(x-3)[/tex]
Divide both sides by 2.
[tex]11=x-3[/tex]
Add 3 on both sides.
[tex]11+3=x-3+3[/tex]
[tex]14=x[/tex]
Therefore, the value of the unknown number is 14.
what is the power times a power
where does the power go in a equation
how do you put a power in a equation
Answer:
The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Step-by-step explanation:
sup
You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?
Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
At the amusement park, Laura paid $6.00 for small cotton candy. Her older brother works at the park, and he told her they mark up the cotton candy by 300%. What is the price of the cotton candy before the markup?
Please help ASAP!
Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?
Answer:
ZK = 95 degrees
Step-by-step explanation:
Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.
ZJ + ZK = 180
Our first objective: find the value of x
(2x + 5) + (3x - 10) = 180
2x + 5 + 3x - 10 = 180
Combine like terms
5x - 5 = 180
Add 5 to both sides to isolate variable x
5x = 175
Divide both sides by 5 to isolate variable x
x = 35
Plug in x value for ZK expression
3(35) - 10
Use PEMDAS
105 - 10
95
Calculate the distance Katie rides her bike if she rides 7/10 mile each day for 9 days?
Answer:
6.3 miles
Step-by-step explanation:
7/10 = 0.7
0.7 x 9 = 6.3 miles after 9 days
The distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.
What is Distance ?Distance is the total movement of an object without any regard to direction.
We can define distance as to how much ground an object has covered despite its starting or ending point
Katie rides her bike 7/10 mile each day for 9 days
In 1 day she covers a distance of 0.7 mile
so in 9 days she will cover
=0.7 * 9
= 6.3 miles
Therefore the distance Katie rides her bike if she rides 7/10 mile each day for 9 days is 6.3 miles.
To know more about Distance
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Help plz I have time and I need to show work
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?
PLease i need answer.
2x²-2x+3x²-3=0
The equation is equal to the equation
Step-by-step explanation:
this answer is so important if you know
if this is the given data 24, 12, 19, 26, 19, 20, 15, 17 what is the median
Answer:
19
Step-by-step explanation:
Rearranging the number in ascending order,
12,15,17,19,19,20,24,26
Median = The average of the 4th and 5th number
[tex] = \frac{19 + 19}{2} \\ = 19[/tex]
Answer:
19
Step-by-step explanation:
so first you have to order the values from least to greatest.
12, 15, 17, 19, 19, 20, 24, 26
there are 8 terms (note that 2 of them are 19)
n = 8
median = (n + 1) ÷ 2
=(8 + 1)/2
=9/2 = 4.5
it's 19 because the median falls between those two (19) data points.
one Sunday, number of visitors of a zoo was 840. on Monday, the number of visitors is decreased to 420, by what percentage was it decreased ?
Answer:
half or 50%
Step-by-step explanation:
Solve 5(2–m)-3(4 – 2m) = 20
Step-by-step explanation:
5(2–m)-3(4 – 2m) = 20
10-5m-12+6m=20
m=22
hope it helps
answer
m =22
solution
5(2-m)-3(4-2m)=20
10-5m-12 +6m=20
-2+m =20
m= 20+2
m =22
what is the range of g?
Answer:
B.
Step-by-step explanation:
The values for g(x) divert after the point -1.
So, the values are going to be equal or greater than -1.
if m<AFC= 150°, what is m<CFD
Answer:
30
Step-by-step explanation:
These are djacent angles ( two angles that have the same vertex, share a side, and do not overlap) The 2 angles form a linear pair The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
If one angle is 150 then the other angle must be 30
150+30 = 180
Farmer john's son built a track to walk his pet pig. The track goes around the rectangular pig pen. The pig pen is 15 ft long and 21 ft wide, if the pig walks all the way around the track,how many feet did he walk? A.36 B.72 C.144 D.315
Answer: (b)
Step-by-step explanation:
Given
dimension of Pig pen is [tex]l=15\ ft[/tex]
width [tex]w=21\ ft[/tex]
Pig walks around the perimeter
and perimeter of the rectangular area is [tex]2(l+w)[/tex]
Pig walks
[tex]P=2(15+21)\\P=2\times 36=72\ ft[/tex]
The volume of a number cube is 27 cm2. What is the length of each side of the cube?
[tex]{ \sf{ \blue{volume \: of \: cube = 27 {cm}^{3}}} } \\ \\ { \underline{ \sf{ \green{volume = {(side)}^{3}}}}} \\ \\ { \sf{ \blue{ side = \sqrt[3]{27}}}} \: ={ \sf{ 3 \: cm}}[/tex]
simplify 4(3x -2y) + 3 (4x - 3y)
Answer:
24x-17y
Step-by-step explanation:
12x-8y+12x-9y
please mark branliest
Answer:
24x−17y
Step-by-step explanation:
4(3x−2y)+3(4x−3y)
Distribute:
=(4)(3x)+(4)(−2y)+(3)(4x)+(3)(−3y)
=12x+−8y+12x+−9y
Combine Like Terms:
=12x+−8y+12x+−9y
=(12x+12x)+(−8y+−9y)
=24x+−17y
Answer:
=24x−17y
The graph models the value of a vehicle over x years following its purchase for $25,000.
Which interpretation is correct?
(A) The asymptote indicates that the original value of the vehicle approached $25,000
(B) The point (40, 0) contains the x-intercept
(C) The line x=25,000 is an asymptote of the graph
(D)The line y=0 is an asymptote of the graph
Answer: it’s D. I took the test
The correct interpretation are,
The asymptote indicates that the original value of the vehicle approached $25,000
The line y=0 is an asymptote of the graph
Graph of function:From the given graph,
It is observed that graph is never intersect the x- axis. Therefore, x-axis will be the asymptote.
The equation of x- axis is y= 0.
Since at x= 0, the value of y = 25,000 , It means that the original value of the vehicle approached $25,000.
The x- intercept is the point where graph crosses the x-axis.
Learn more about the asymptote of graph here:
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Please I need help give you brainlist rate you heart you lol
I
Answer:
Y=1.50
Step-by-step explanation:
For the graph chart the x as the table says and the y as 1.50 for one then keep adding 1.50 for the others
1) 4x1.50= 6.00
2)5.00/1.50= 3 and 1/3
. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?
Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
Find the value of x. Round your answer to the nearest tenth
Answer:
64.01
Step-by-step explanation:
tan∅= p/b
tan58= x/40
or, x= 40×tan58
x = 64.01
Use substitution to find the solutions to the systems.
Answer:
NOCC CD REDSA DFRESB BGF DDDFGFDSDF
Step-by-step explanation: