The height of the flagpole is 100 feet.
What are shadows?Shadows are area devoid of light as a result of the obstruction of light by an opaque object.
Analysis:
The length of the shadow and the height of the flagpole are at right angles.
Similarly, the height of the woman and the length of her shadow are at right angles. Making both similar right-angled triangles.
The ratio of the height of the woman to that of pole is equal to ratio of the length of woman's shadow to that of the flagpole.
let length of flagpole be h.
height of woman = 6 feet
length of shadow of woman = 3 feet
length of shadow of pole = 50 feet.
[tex]\frac{6}{h}[/tex] = [tex]\frac{3}{50}[/tex]
3h = 300
h = 100 feet
In conclusion, the height of the flag pole is 100 feet.
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Simplify the expression. Write your answer
The volume of a cylinder is expressed by the formula V = 3.14 × r²h, where V stands for volume, r is the radius, and h is the height of the cylinder. Suppose the volume of a cylinder is known to be 141.3 m³ and its height is 5 m. Find the radius.
Answer:
The radius is 3 meters.
Step-by-step explanation:
[tex]\pi {r}^{2} (5) = 141.3[/tex]
[tex] {r}^{2} = \frac{141.3}{5\pi} [/tex]
[tex]r = 3[/tex]
There are 30 teams in the NBA. What is the probability of randomly choosing the champion
without knowing anything about basketball?
Answer:
1/30
Step-by-step explanation:
P(champion)= 1/30
Given the value of the hypotenuse c for a 45°-45°-90° triangle, write the
equations to represent sides a and b in terms of c.
a= c/√2
b= c/√2
Since side a and b are equivalent to each other and c is the length of side a or b × √2. Dividing c by √2 gives the value of a and b.
a×√2= c
b×√2= c
QUICKLY HELP AND LOOK AT THE PICTURE BELOW!!!
Answer:
the number of inches the grass grows each day
Answer:
A
Step-by-step explanation:
What’s the area and perimeter?
Answer:
•12
Step-by-step explanation:
fInd Little bit at end by pythogotous and find are of shaded the find areo of non shaded and take away with shaded triangle
Can someone help me thanks
Determine the value of k so that the solutions of the equation x^2-kx+36=0 are the same value
The discriminant is calculated and set equal to zero. Thus, we obtain a double root.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ (-k)^2-4(1)(36)=0\ \Longrightarrow\ k^2=144 } \end{gathered}$}[/tex]
The possible values of the coefficient of the linear term are k₁=12, k₂=-12.
Stacy recorded the number of minutes she used her
smartphone each day for one week before using an
app that awards points for decreased phone usage,
and for one week after using the app. Stacy's
alternative hypothesis is Ha:X< 114.6.
Before 103 127 87 12495 136 130
After 83 94 1201057598 96
Stacy used a simulation to randomize her data 200
times. She found that the difference between sample
means over 200 trials is approximately normally-
distributed, with a mean of -0.2 and a standard
deviation of 9.1. Which of the following conclusions
is most appropriate?
Phone use did not change.
Phone use increased and then decreased.
Phone use increased.
Phone use decreased.
Using the t-distribution, the most appropriate conclusion for the hypotesis test is given by Phone use did not change.
How to find the value of z-statistic for population mean? (z test statistic)Suppose we're specified that:
The sample mean = [tex]\overline{x}[/tex]
The population mean =[tex]\mu[/tex]
The population standard deviation = [tex]\sigma[/tex]
The sample size = n
Then the z-statistic for this data is found as:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]
In this problem, the values of those parameters are as follows:
The sample mean [tex]\overline{x}[/tex] = -0.2
The population mean =[tex]\mu[/tex] = 0
The population standard deviation = [tex]\sigma[/tex] = 9.1
The sample size = n = 200
Hence, the test statistic is given by:
[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}\\\\\\Z = \dfrac{-0.2- 0}{9.1/\sqrt{200}}\\\\z = 0.31[/tex]
Thus,
t = 0.31.
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis and the conclusion is:
Phone use did not change.
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16/7=8x
What is X in the equation
[tex] \frac{16}{7} = 8x \\ 8x = \frac{16}{7} \\ 8x \div 8 = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \div 8 \\ x = \frac{16}{7} \times \frac{1}{8} \\ x = \frac{2}{7} [/tex]
Answer:
2/7=x
Step-by-step explanation:
16/7= 8x
8x= 16/7
x=16/7 x 1/8
x=2/7
Hope this helps!!
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area=16.65
Perimeter=26.3
Step-by-step explanation:
To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.
To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.
In your Own words explain what in algebra the deffintion of
Mode
Median
Range
I will try to give brainliest to person who discribes in own words
Answer:
The mean means average. To find it, add together all of your values and divide by the number of addends. The median is the middle number of your data set when in order from least to greatest. The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.
Step-by-step explanation:
hope this helps
have a good day <3
Answer:
hope this helps!!
Step-by-step explanation:
Mode: Are there two students who have the same number of children (could be zero)? If yes, that’s the mode. If not, there is no mode. Median: Put all five numbers in a row from lowest to greatest. The one in the middle is the median. Range: Take the difference of the greatest minus the lowest and that is the range.
Pauline’s Pie’s baked 150 pies before they opened the store on Sunday. Once the store opened, they sold 30% of the pies before noon. How many pies were sold before noon?
Answer:
105
Step-by-step explanation:
First, in problems like these, you have to find 30% of 150. 30% of 150 is 45. Now, since you want to see how many pies have been sold, you do 150-45, which will give you 105.
What is the answer to the question ………
Answer:
Here is the solution...so option A is correct
evaluate
A)
3
B)
2
C)
5
D)
0
Answer:
b)2
Step-by-step explanation:
2x2x2x2=16
What is the equation in slope intercept form of the line that passes through the points (-26,-11) and (39,34
Answer:
y2=34 y1= -11
x2= 39 x1= -26
y2-y1/x2-x1
34-(-11)/39-(-26)
34+11/39+26
45/65
m=9/13
Express 1500 cm: 37.5 m in the form 1:n
what is -10/5 simplified
please lol help
:) Thank youuu!!!
Answer:
Step-by-step explanation:
10/5
Just divide it
= -2
Answer my practice question. Today, the sum of Cameron's age and Christian's age is 102. 6 years ago Christian was 2 times older than Cameron.
Part A: Enter Cameron's age today.
Part B: Enter Christian's age today
Answer:
Cameron's age=48 Christain's age=54
Step-by-step explanation:
The current total age is 102.
You can do 102-6 as this will give you an idea of Christain's age as it is twice the age of Cameron.
102-6=96
96/2=48
Cameron's age=48
102-48=54
54=Christain's age
the distance of -17 from 0
i have no idea what to do :(((
Evaluate the expression -6³
Answer:
-216
Step-by-step explanation:
please mark as brilliant
Please help i need this quick ill give brainlyiest
Which is the graph of the rose curve
Rose curve equations have two forms: r = a cos(nθ) and r = a sin(nθ) where a ≠ 0 and n is a positive integer. Petals have length determined by a. If n is odd, the number of petals is n. However, if n is even, the number of petals is 2n.
hope it helps aaa ^^'
The length of a Ping Pong table is 3 ft less that four times the width. The area of the
Ping Pong table is 85 square feet. What are the dimensions of the Ping Pong table?
Step-by-step explanation:
I hope you understand.....
HELP IM ON A TIMER
What is the product?
(x - 3)(2x2 – 5x + 1)
O 2x3 - x2 + 16x + 3
O 2x3 - 11x2 + 16x + 3
O 2x3 - 11x2 + 16x - 3
0 2x3 - x2 + 16x - 3
Answer:
The answer is 2x3 - 11x2 + 16x -3
Can someone help me if not that's alright.
The sum of two number is 64. Their difference is 14. Find each of the numbers.
Answer:
25 + 39 = 64
Step-by-step explanation:
I hope this helps! If it does, please click "Thanks" to help me out!
The table shows the results from a survey of 335 randomly selected households with pets. this survey was conducted by a new pet store
that is opening nearby.
have children
do not have children.
total
1 pet
38
53
91
2 pets
85
41
126
3 or more pets
46
72
118
total
169
166
335
the pet store uses the data to make decisions about inventory. complete the given statement.
a customer is more likely to have 1 pet and no children than they are to have
A customer is more likely to have 1 pet and no children than they are to have 2 pets and no children.
How to find probability?
We are given a table with 3 columns titled "have children", "do not have children" and "total".
Under the row titled "1 pet", the respective probabilities are;
P(having 1 pet and children) = 38/91 = 0.4176
P(having 1 pet and no children) = 53/91 = 0.5824
Under the row titled "2 pets", the respective probabilities are;
P(having 2 pets and children) = 85/126 = 0.6746
P(having 2 pets and no children) = 41/126 = 0.3254
Under the row titled "3 or more pets", the respective probabilities are;
P(having 3 or more pets and children) = 46/118 = 0.3898
P(having 3 or more pets and no children) = 72/118 = 0.6102
The only probability that is lower than P(having 1 pet and no children) in the same way is P(having 2 pets and no children).
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Answer:
The answer is "3 pets and children"
Step-by-step explanation:
Got it right on Edmentum
Please solve ASAP, I have MCAS tomorrow morning and I can't get through the practice test. I will mark as the BRAINLIEST whom will answer the first, QUESTIONS IN ATTACHMENT
Answer:
Part A: f(4) = 2
Part B: k = -7
Step-by-step explanation:
f(4) simply means what the y-value of the graph is when x = 4.
The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.
Part B asks to solve the equation: f(4) + k = -5
We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):
2 + k = - 5
Substract 2 from both sides:
k = -7
Please someone help me with my question
Answer:
∠A≅∠Z AB ≅ ZX
∠B≅∠X AC ≅ ZY
∠C≅∠Y BC ≅ XY
ΔCBA ≅ ΔYXZ
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)
Perimeter: 26.3 m
Step-by-step explanation:
Triangle Area formula: bh/2
Plug it in: (7.4)(4.5)/2=16.65
Perimeter: Add the sides
12.6+7.4+6.3=26.3
Answer:
Step-by-step explanation:
Remark
Here are the formulas for what you are asking for.
P = s1 + s2 + s3
Area = height * base / 2
Givens
s1 = 12.6
s2 = 6.3
s3 = 7.4
height = 4.5
base = 7.4
The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended. See the givens for what that is.
Solution
Perimeter
P = s1 + s2 + s3 Substitute givens into the formula
P = 12.6+6.3 + 7.4
p = 26.3
Area
Area = (B * H)/ 2
Area = 7.4 *4.5 / 2
Area = 16.65