Answer:
120.62 feet
Step-by-step explanation:
Let the entrance be the origin (0,0). If the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). If the swings are located 23 feet west and 124 feet north of the entrance, its coordinates are (-23, 124).
We now find the distance from the swing to the Ferris wheel which for a pair of coordinates (x₁, y₁) and (x₂, y₂) is gotten from d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (-23, 124) and (x₂, y₂) = (95, 156).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(95 - (-23))² + (156 - 124)²]
= √[(95 + 23))² + (156 - 124)²]
= √[(118)² + (32)²]
= √[13924 + 1024]
= √14948
= 122.26 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 × 122.26/8 = 45.85 feet
To find the coordinates (x', y') of Jalen's point from the entrance, we subtract his distance from the Ferris wheel from the coordinates of the point of the Ferris wheel. So, (x', y') = (95 - 45.85, 156 - 45.85) = (49.15, 110.15).
So, Jalen's distance from the entrance is gotten from
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (0, 0) and (x₂, y₂) = (49.15, 110.15).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(49.15 - 0)² + (110.15 - 0)²]
= √[(49.15)² + (110.15)²]
= √[2,415.7225 + 12,133.0225]
= √14,548.745
= 120.62 feet
A company fabricates cast concrete cylindrical columns for a new pavilion.The columns are 3 meters tall and have a radius of 0.6 meters.What is the approximate surface area of a single column?
Answer:
The answer is 13.57m^2
Step-by-step explanation:
On Edmentum I got it right.
Find A1 in a geometric series for which sn=3045,r=2/5, and an=120
Answer:
a = 1875
Step-by-step explanation:
Sum of geometric series formula:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Geometric series formula:
[tex]a_n=ar^{n-1}[/tex]
Given:
[tex]S_n=3045[/tex][tex]r=\dfrac25=0.4[/tex][tex]a_n=120[/tex][tex]\implies 120=a(0.4)^{n-1}[/tex]
[tex]\implies a=\dfrac{120}{(0.4)^{n-1}}[/tex]
[tex]\implies 3045=\dfrac{a(1-0.4^n)}{1-0.4}[/tex]
[tex]\implies 3045=\dfrac{a(1-0.4^n)}{0.6}[/tex]
[tex]\implies 1827=a(1-0.4^n)[/tex]
[tex]\implies a=\dfrac{1827}{1-0.4^n}[/tex]
Equate equations for a:
[tex]\implies \dfrac{120}{(0.4)^{n-1}}=\dfrac{1827}{1-0.4^n}[/tex]
Apply exponent rule [tex]a^{b-c}=\dfrac{a^b}{a^c}[/tex]
[tex]\implies \dfrac{120}{\frac{0.4^n}{0.4^1}}=\dfrac{1827}{1-0.4^n}[/tex]
[tex]\implies \dfrac{48}{0.4^n}=\dfrac{1827}{1-0.4^n}[/tex]
[tex]\implies 48(1-0.4^n)=1827(0.4^n)[/tex]
[tex]\implies 48-48(0.4^n)=1827(0.4^n)[/tex]
[tex]\implies 48=1875(0.4^n)[/tex]
[tex]\implies 0.4^n=\dfrac{48}{1875}[/tex]
[tex]\implies 0.4^n=0.0256[/tex]
Taking natural logs:
[tex]\implies \ln0.4^n=\ln0.0256[/tex]
[tex]\implies n\ln0.4=\ln0.0256[/tex]
[tex]\implies n=\dfrac{\ln0.0256}{\ln0.4}[/tex]
[tex]\implies n=4[/tex]
Substituting found value for n into one of the equations and solving for a:
[tex]\implies a=\dfrac{120}{(0.4)^{4-1}}[/tex]
[tex]\implies a=\dfrac{120}{0.4^3}[/tex]
[tex]\implies a=\dfrac{120}{0.064}[/tex]
[tex]\implies a=1875[/tex]
Make a number line and mark the points that represent the following values of x. 10∙x=0
The point on a number line is the location of the point.
How to draw the number lineThe points are given as:
x = 10 and x = 0
This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line
However, the point 0 would come before point 10 because 0 is less than 10
See attachment for the number line
Read more about number lines at:
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Help please, brainliest if you answer in less than 5 minutes!
Answer:
A and C
Step-by-step explanation:
Lawson: 5x3=15
Rhett: 4x4=16
Wynn: 5x3=15
Suppose that ∠BNR and ∠RNA are adjacent angles where m∠BNR=12w-19,
m∠RNA= ¼(w+199), and m∠BNA=2(12w-19).
What is the value of W
Answer:
Step-by-step explanation:
Sum of interior adjacent angle is 180 degrees.
Given
m∠BNR=12w-19,
m∠RNA= ¼(w+199)
m∠BNA=2(12w-19).
Substitute
m∠BNR+m∠RNA=
¼(w+199)+12w-19, = 2(12w-19).
W+796+48W-76 = 96W-152
49W-96W = -152+76-796
-47W = 872
W = 872/47
W = 18.55
Which expression is equivalent to (2 cubed) Superscript negative 5?.
The expression which is equivalent to (2³)^-5 is; 1/(2)^15.
Which expression is similar to (2³)^-5?By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;
(2³)^-5
= (2) ^(3×-5)
= 2 ^(-15)
Hence, the expression can be rewritten as; 1/(2)^15.
Read more on indices;
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Answer:
a
Step-by-step explanation:
i did the test
hello brainly team I need help
B. Square
Explanation:There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.
Question #2 Answer:D. I and IV
Explanation:[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]
[tex]So\ Chase\ D[/tex]
{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]
Question #3 Answer:B. 500 cm²
Explanation:Calculate area of the rectangle:
[tex]\curvearrowleft\\ area=500[/tex]
I hope this helps you
:)
A customer in Indiana buys 4 bags of Gone Bananas treats for $8.99 each. The sales tax in Indiana is 7%. What is the total cost of the order?
4 x 8,99 x 1,07 = £38,48
(7X^3+4X^2+3X+2) + (2X^2+X+5)
please help I need this asap
a os is correct.....,,..................
PLEASE HELP OMG I NEED THIS ASAP
Answer:
45
Step-by-step explanation:
To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
36.8%
Step-by-step explanation:
formula to find percent increase: (|old-new|)/old *100
|95-130|/95 *100
36.8%
What is 4 ×−1∙(−3)×(−5) = Because I need it like rn.
Answer:
should be 4x+5*(-3)^x
Step-by-step explanation:
Multiplying two neg equals a positive
any expression multiplied by 1 stays the same
use commutative property to reorder the terms
Answer:
-60
Step-by-step explanation:
Yeah, of course!.
Step one: Breaking the problem into different problems is probably the best!
Step two: 4× (-1) is simple multiplication, any number multiplied by 1 is always the number. 4 multiplied by 1 is always 4, but there is a negative sign in front of the 1, so that means we have to go into the positive an negative rules, final answer is 4 for that step.
Then were going to ignore the multiplication sign for now.
Step three: (-3) times (-5) is 15 but we have to look at the rules of positives and negatives, a negative plus a negative is a positive. So its 15.
Step four: Multiply the two answers (4 times 15) is 60. Now were going to add our negative sign because a positive plus a positive number is a negative.
Hope this helped! :)
At McCord Middle School, 200 students rode their bike or walked to school. This is 40 percent of the total student body. How many students attend McCord Middle School?
HURRY N' ANSWER I GIVE BRAINIEST !!!!
Step-by-step explanation:
500 hundred students attend McCord Middle School.
Answer:
the answer is C: 500 students
Step-by-step explanation:
solve x over -3 = -15
A. 5
B. -45
C. -5
D. 45
Answer:
45
Step-by-step explanation:
Arithmetic and geometric sequences plato/edumentuM
Answer:
A
Step-by-step explanation:
tank 2 goes down by a constant difference : -40
Mrs. Baker drove 450 miles on a trip she took last summer. Her car's gas tank holds 15 gallons of gas and she gets 25 miles to the gallon on long trips. How many tanks of gas did she use on her trip?
Answer:
..........
Step-by-step explanation:
Want Money. Answer thisss below.
Answer:
2.3
Step-by-step explanation:
Simplify by using fractional exponents.
[tex]\sqrt[3]{x^{2} }[/tex]
Answer:
[tex](x^2)^\frac{1}{3}[/tex]
Step-by-step explanation:
1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]
-
If f(x) is an exponential function where f(3.5) = 25 and f(8.5) = 14, then find
the value of f(5.5), to the nearest hundredth.
Using an exponential function, it is found that f(5.5) = 19.8.
What is an exponential function?An exponential function is a function in which the growth rate is a percentage, modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.f(3.5) = 25 means that:
[tex]ab^{3.5} = 25[/tex]
[tex]a = \frac{25}{b^{3.5}}[/tex]
f(8.5) = 14 means that:
[tex]ab^{8.5} = 14[/tex]
Hence:
[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]
[tex]25b^5 = 14[/tex]
[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]
[tex]b = 0.89[/tex]
[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]
Hence, the function is given by:
[tex]y = 37.59(0.89)^x[/tex]
Then, when x = 5.5:
[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
Step-by-step explanation:
19.83
Was the caste system a fair system based on religious beliefs or was it a social
structure that promoted inequality?
I really need help!!!
which expressions are equivalent to 1/9
[tex]Answer:[/tex]
2/183/274/36etc.The line stops at 100/900.
Hope this helps, have a great day! ♣
help me please thank you
18
RS = BC
19
angle A = angle Q
20
real blueprint
we know 45 9 width
we're looking for 70 n
45 x n = 70x 9
n = 630 : 45 = 14
=> 14 in
#18
Just observe the naming you can answer without seeing the diagram even
∆ABC~∆QRS
RS is at end so it is similar to BCOption D.
#19
<A~<QOption B
#20
Let that be x
Ratio remains same[tex]\\ \tt\hookrightarrow \dfrac{45}{70}=\dfrac{9}{x}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{9}{14}=\dfrac{9}{x}[/tex]
[tex]\\ \tt\hookrightarrow x=14in[/tex]
Option D
How does a dilation affect the side lengths and angle measures of a figure?
After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is to find how dilation affect the side lengths and angle measures of a figure
Assume that the initial length of the figure
After the dilation, the coordinates will become -
(x, y) → (Kx, Ky)
Where {K} is the scale factor by which the image is dilated.
The angles after the dilation remain same.
Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
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pls help! i need to know the slope of the graph! will give brainliest to best explanation
Answer:
1200
Step-by-step explanation:
Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information:
Day 1 4 students
Day 2 9 students
Day 3 5 students
Day 4 7 students
Day 5 6 students
What data would be on the horizontal axis?
a. names of the students wearing the blue shirts
b. the exact color of the blue shirt
c. school day
d. number of students wearing blue shirts
Answer:
d. number of students wearing blue shirts
Pls help i need it!!!
Answer:
there were rivalries between African leaders.
Step-by-step explanation:
Identifying the Error
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.
What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.
Answer:
The negative signs were switched. This is the answer.
Please help me if you can and thank you :)))
Answer:
$1920
Step-by-step explanation:
12800 X 0.15 = 1920
Divide 66 chocolates between arun and vikasin the ratio 7:4
Answer:
hello
7 + 4 = 11
arun = 66 x 7/11 = 42
vikasin = 66 x 4/11 = 24
Step-by-step explanation: