Step-by-step explanation:
Since Shanika is standing near the pole, we can safely assume that the triangle formed by Shanika and her shadow is a smaller version of the triangle formed by the pole and its shadow.
By similar triangles:
[tex] \frac{x \: of \: pole}{y \: of \: pole} = \frac{x \: of \: shanika}{y \: of \: shanika} \\ \frac{16}{ height \: of \: pole} = \frac{4}{5} \\ 16(5) = 4 \times height \: of \: pole \\ height \: of \: pole = \frac{80}{4} \\ = 20[/tex]
The height of the pole is 20ft.
The relationship between the postage rate and the weight of a letter can be defined by a piecewise function. The graph shows the 2018 postage rates for using regular service to mail a letter. Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors
Kiran equation is incorrect because there are two rates when the weight is 1,2, and 3 ounces, also, the first symbol is incorrect; on the other hand, Mai is incorrect because the prices for 1, 2, and 3 ounces are not correctly expressed.
What is a function?A function is an expression that shows how two factors, in this case, rate and weight are related. These functions are usually created based on specific data and they should relate the data correctly.
What was Kiran's mistake?1. There are two rates for 1, 2, and 3 ounces: The use of symbols Kiran used to explain the rate for 1, 2, and 3 ounces is incorrect. Let's examine an example:
0.71 1 ≤ w ≤ 20.92 2 ≤ w ≤ 3It seems the rate for 2 pounds can be both 0.71 and 0.92 because in the first line if the weight is less or equal to 2, the rate is 0,71 and this also happens in the second line.
2. The first symbol he used is incorrect because it seems like there is a charge even if the weight is 0, which is impossible.
0.50 0 ≤ w ≤ 1 (The rate if the weight is less or equal to 0 is 0.50)What is Mai's mistake?1. Similarly to Kiran she did not express the rate and the pounds correctly. Let's look at one example:
0.71 1 < w < 2 (if the weight is less than 2 the rate is 0.71, which is incorrect because the rate is 0.71 if the weight is less or equal to 2)Note: This question is incomplete; here is the missing section:
Identify the error in each person's work:
Learn more about rates in: https://brainly.com/question/25565101
What is the slope of the line that passes through the points (-2,-1) and (2,-3) answer in simplest form
Answer:
Step-by-step explanation:
(-3 + 1)/(2 + 2)= -2/4= -1/2 is the slope
please help me on this will give you brainliest
Answer:
ST =6.9
SR =15.9
Step-by-step explanation:
Please find the sum for 2/8 + 3/6 hurry please
Answer:
0.75
Step-by-step explanation:
hope this helps you
how much is 28 yards in feet
Answer:
The correct answer is 84 feet.
Step-by-step explanation:
Each yard is 3 feet so then 3 times 28 equals 84.
HAVE A GOOD DAY!
Brainliest????
22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach
Answer:
20.1 feet
Step-by-step explanation:
We solve the above question using the Pythagoras Theorem
The Pythagoras Theorem =
Opposite² + Adjacent ² = Hypotenuse²
From the above question,
Opposite side = Height of the wall = x
Adjacent side = Distance from the base of the building = 9 feet
Hypotenuse = Length of the ladder = 22 feet
Hence:
x² + 9² = 22²
x² = 22² - 9²
x = √22² - 9²
x = √403
x = 20.0748599 feet
Approximately = 20.1 feet
Therefore, the height of the wall = 20.1 feet
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Please
Answer:
Step-by-step explanation:
0510006 please answer this
what is 8*29
Answer:
8*29=232
Step-by-step explanation:
if you take 8*20 you get 160
if you take 8*9 you get 72
Add them and you get 232
Michael sells 136 newspapers each week. If there are 52 weeks in a year, how many newspapers does Michael sell in a year?
Answer:
7,072
Step-by-step explanation:
136 times 52 = 7,072
Answer:
7,072 newspaper in a year
Step-by-step explanation:
Multiply: 136*52=7,072
(I would put a picture of my work but I'm lazy right now lol)
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
True or False:
The relation shown is a function.
20 POINTS!!
Answer:
True
Step-by-step explanation:
For a relation to be a function each value of x must pair up with one and only one value of
The relation shown is a function.
8. Complete the following table. 5x-2y = 6
Answer:
x=2/5y+6/5
Step-by-step explanation
5x-2y=6
5x-2y+2y=6+2y
5x=2y+6
step 2
5x/5=2y+6/5
x=2/5y+6/5
A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
Tom created a mixed-media mural of a flag to celebrate the 4th of July. He spent $57 on paint and 4 times as much on fabric. How many money did he spend altogether?
Answer:
$285
Step-by-step explanation:
57 by 4 is 228 then add 57 to 228 which is 285
Please help I need it for today
Step-by-step explanation:
Disculpe pero de qué grado es usted para ayudarle un poquito más mejor
use the properties of exponents to simplify the expression 522/513
Answer:
5^9 or 1,953,125
Step-by-step explanation:
5^22 / 5^13
Using the law of exponents we have 5^22-13 = 5^9
Which set of ordered pairs is linear? A. {(2, 1), (5, 1), (6, 1)} B. {(–1, 4), (0, 0), (1, 6)} C. {(–3, 5), (1, 0), (2, 4)} D. {(0, 0), (1, 3), (2, 7)}
Answer:
merhaba ben yeni geledimde adın ne
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Offering 30 points,, please help! will mark brainliest:)
The solution to the given linear function at f(1) when calculated gives an output value of; 8
How to Solve Linear functions?We are given the linear function represented by the equation;
f(x) = 7(x - 1) + 8
Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;
f(1) = 7(1 - 1) + 8
f(1) = 8
Thus, the solution is; f(1) = 8
Reda more about Linear Functions at; https://brainly.com/question/4025726
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SOMEONE ANSWER THESE ASAP
MARKING BRAINLIEST
PLEASE HELPPPPP
Sorry this took a while; calculated a lot of things.
Step-by-step explanation:
A.
Combined:
2.67 times 23.76 = 63.4392
2.67 times - 21 and 5/6 = -58.295
63.4392 - 31.85 -58.295 = -26.7058
If you mean do both separate:
63.4392 - 31.85 = 31.5892
-58.295 - 31.85 = -90.145
B.
Combined:
11 and 3/4 times 23.76 = 279.18
11 and 3/4 times 21 and 5/6 = 256.541666667
279.18 + 256.541666667 + 56 and 3/8 = 592.096666667
If you mean do both separate:
279.18 + 56 and 3/8 = 335.555
256.541666667 + 56 and 3/8 = 312.916666667
1. Determine which of the following ordered pairs
are solutions to each of the given systems of
inequalities.
[(5,3). (-2, 1), (1.2). (2. -3), (3, 5), (-2,3), (2, 0)]
a. y<-x+3
y>x-2
Using suitable identity find 5.62
− 0.32
Answer:
5.62 - 0.32= 5.3 or 5.30
Step-by-step explanation:
Help me it is an hw due soon please
Answer:
1st is 1/4 and 2nd is 1/10
In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.
Answer:
2 units
Step-by-step explanation:
We are given that
Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian
Length of an arc=[tex]\pi[/tex]
We have to find the radius of circle in simples form.
We know that
[tex]\theta=\frac{l}{r}[/tex]
Where l=Length of arc
r=Radius of circle
Using the formula
[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]
[tex]r=\frac{2\times \pi}{\pi}[/tex]
[tex]r=2[/tex]units
Hence, the radius of the circle=2 units
Help please! Thank youuuuuuuuu
Answer:
3 3/5 meters (B)
Step-by-step explanation:
Since this is perimeter, you must find the "outside".
The top side: 1/4 * 4 = 1
Left side: 1/5 * 4 = 4/5
Bottom: 1
Right side: 4/5
Add them up!
1 + 1 + 4/5 + 4/5
2 8/5
3 3/5
B!
Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About
pls help i suck at math
Answer:
d
Step-by-step explanation:
hola me ayudan pliss como saco el resultado de 584 × (?) =179288 y (?) ÷ 143 = 572
Answer:
1)307
2)81796
Step-by-step explanation:
584 × (?) =179288
[tex]\frac{179288}{584}[/tex] =307
(?) ÷ 143 = 572
572x143 =81796
¡Espero que esto sea de ayuda! :)
Pls help middle school math!!
Answer:
r = √A/π (radius = square root of a over pi)
Explanation:
There is a radius and a diameter. Diameter is the length of the whole circle across. The radius is half of the circle's length across, so half of the diameter.
hope this answers your question!
Is 299 in the sequence of 2 5 8 11 14 with 3n-1 as the term
Answer:
yes
Step-by-step explanation:
Equate
3n - 1 = 299 ( add 1 to both sides )
3n = 300 ( divide both sides by 3 )
n = 100
Then 299 is the 100 th term of the sequence
A cylinder has a volume of 48π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights.
height (cm) volume (cm3)
h 48π
2h ? answer in pi
5h ? answer in pi
h/2 ? answer in pi
h/5 ? answer in pi
Answer:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
Step-by-step explanation:
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
From statement, we understand that volume of the cylinder is directly proportional to its height. That is:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (2)
Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.
In addition, we eliminate this constant by constructing the following relationship:
[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]
[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)
Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
4 When a ball bounces, the heights of consecutive bounces form
a geometric sequence. The height of the first bounce is
121 centimeters and the height of the third bounce is
64 centimeters. To the nearest centimeter, what is the height of the
fifth bounce?
Answer:
34 cm
Step-by-step explanation:
The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.
Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm
Then, T₃/T₁ = ar²/a = r²
r² = T₃/T₁
r² = 64 cm/121 cm
r = √64/121
r = 8/11
So, the height of our fifth bounce T₅ = ar⁵⁻¹
= ar⁴
= 121 cm × (8/11)⁴
= 121 × 4096/14641
= 4096/121 cm
= 33.9 cm
≅ 34 cm to the nearest cm
Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.
In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
The height of the first bounce is of 121 cm, hence [tex]a_1 = 121[/tex].The height of the third bounce is of 64 cm, hence [tex]a_3 = 64[/tex], and this is used to find r.[tex]a_n = a_1r^{n-1}[/tex]
[tex]64 = 121r^{2}[/tex]
[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]
[tex]r = \frac{8}{11}[/tex]
Hence:
[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]
The height of the fifth bounce is of [tex]a_5[/tex], hence:
[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]
The height of the fifth bounce is of 33.85 cm.
You can learn more about geometric sequences at https://brainly.com/question/11847927
The express elevator in the Empire State Building in New York City travels nonstop from
the ground floor to the top floor at a rate of 1,400 feet per minute.
The express elevator in the John Hancock Center in Chicago travels nonstop from the
ground floor to the observatory on the top floor at a rate represented by the equation
y = 30x, where y is the height, in feet, and is the number of seconds
Graph the two relationships on the grid below to compare the rates of the
two elevators,
ELEVATOR RATES
I
Height (feet)
1,000
900
800
700
600
500
400
300
200
100
0
10
40
50
20 30
Time (seconds)
Which elevator travels at a faster rate?
Using the information from the graph, explain how you got your answer.
The elevator of John Hancock Center in Chicago travels at a faster rate.
The standard equation of a line is y = m + bm is the slope or rate of changeb is the y-intercept.For the equation represented by the height of the elevator of John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.
Since the express elevator in the Empire State Building in New York City travels nonstop from the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of John Hancock Center in Chicago travels at a faster rate.
Learn more on rate here: https://brainly.com/question/8728504