What is the angle of elevation of the sun if a 45 foot tall flag pole casts a 22 foot long shadow?A. 63.9B. 60.7C. 26.1D. 29.3
From the shadow of the flagpole, we can build a right triangle that will allow us to estimate the angle of elevation of the sun.
The shadow on the ground will be one hick of the triangle, and the flagpole will be the other hick. The hypotenuse will be the line connecting the tip of the flagpole and the tip of the shadow. The angle of elevation is the one formed between the ground and the hypotenuse.
With that, the adjacent hick will be the shadow in the ground (22 ft long), and the opposite hick is the flagpole itself (45 ft tall). The tangent of an angle is the ratio of the opposite hick to the adjacent hick. Let's call the angle of elevation α. Then:
\(\tan \alpha=\frac{45ft}{22ft}\)To find the value of α we use the function inverse tangent:
\(\begin{gathered} \alpha=\tan ^{-1}\frac{45}{22} \\ \\ \alpha\approx63.9 \end{gathered}\)Then, the angle of elevation is approximately 63.9°. The correct answer is option A.
please solve this it is my first worksheet of third quarter and i cant start off with a d or f i will get killed
Answer:
40
Step-by-step explanation:
It's basically reverse-simplifying. You can cross multiply, but for me, the easiest thing is to look and see how 3 turned in to 12. To get 12 from 3, you multiply by 4. So then multiply 10 by 4 and you get 40. Hope this helps!! :)
Answer:
40
Step-by-step explanation:
I need help! I know the answer, I just don't know how to get it. The answer is 69.25 seconds.
9614 1404 393
Answer:
add up the gaps and divide by their number
Step-by-step explanation:
You find the average gap time the same way you find any average: divide the total of the gap times by the number of them.
The four gaps total 4 minutes 37 seconds, or 277 seconds. Their average is ...
(277 s)/4 = 69.25 s
_____
Each gap is computed by subtracting the first cyclist's time from each of the others.
In a spreadsheet such as this one, time computation can be done fairly easily. For the final conversion to seconds, we have to account for the fact that the spreadsheet stores time internally as a number of days. The 0:04:37 is converted to 277 seconds by multiplying it by 86400, the number of seconds in a day.
PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!
Answer:
Step-by-step explanation:
T = $3b
Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.
The product of the factors in the given expression comes to be \(7.35932 *10^{-3}\).
The given expression is:
\((1.466*10^{-8} )(5.02*10^5)\)
We can rewrite the given expression as
\((1.466*5.02)(10^{-8} *10^5)\)
What is the exponent addition rule?If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.
\(a^m*a^n = a^{m+n}\)
\(1.466*5.02=7.35932\)
\(10^{-8} *10^5 = 10^{-3}\)....from exponent addition rule
So, \((1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}\)
Therefore, the product of the factors in the given expression comes to be \(7.35932 *10^{-3}\).
To get more about exponents visit:
https://brainly.com/question/819893
Answer:
7.3593 and -3
Step-by-step explanation:
Got it right on the assignment.
graph the linear function. g(x)=2/5x-3
Seventy thousand in standard form
What is the answer??
number 1- Name the relationship between <1 and <2. *
Answer:
Step-by-step explanation:
They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.
Consider the following.
W = {(5t, t, t): t is a real number}
(a) Give a geometric description of the subspace W of R³.
a plane
a line
a ray
a point
a circle
(b) Find a basis for the subspace W of R³.
(c) Determine the dimension of the subspace W of R3.
The geometric description of the subspace W of R³ is a line. This can be observed from the given set W, which consists of three-dimensional vectors of the form (5t, t, t), where t is a real number.
All the vectors in W have the same x-component (5t), indicating that they lie on a line parallel to the y-z plane. The y-component and z-component (both t) vary freely, but they are always equal. Therefore, W forms a one-dimensional subspace, which can be visualized as a line in three-dimensional space.(b) To find a basis for the subspace W, we need to identify linearly independent vectors that span the subspace. In this case, a suitable basis for W would be {(5, 1, 1)}. This single vector is sufficient to generate all other vectors in W through scalar multiplication.
(c) The dimension of the subspace W of R³ is 1. This can be determined by the number of linearly independent vectors in the basis for W, which is only one. The subspace W is one-dimensional, consisting of all vectors that can be obtained by scaling the basis vector {(5, 1, 1)} with a real number.
To learn more about vectors click here:brainly.com/question/30958460
#SPJ11
need help asap!!!!!!!!!
Answer:
-3400Step-by-step explanation:
In general, a geometric sequence is given by:
a,ar,ar^2,⋯,ar^n−1In the sequence 20, - 40 , 80,…
First term, a1 = 20
Common ratio, r = - 40 ÷ 20 = - 2
The nth term is = 9th
Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)
S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )
S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )
S9 = ( 20 - 10240 ) / ( 3 )
S9 = ( - 10220 ) / 3
S9 = - 3400 Answer Hope it's help you.... ^_^❤️9514 1404 393
Answer:
3420
Step-by-step explanation:
The first term is 20. The common ratio is -40/20 = -2. Fill these values into the formula and evaluate.
\(S_9=\dfrac{20-20\cdot(-2)^9}{1-(-2)}=\dfrac{20-20(-512)}{3}=\dfrac{10260}{3}\\\\ \boxed{S_9=3420}\)
help me pleasee, my brain won't work
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
Read more about Equivalent fractions at: https://brainly.com/question/17220365
#SPJ1
182.5
% of
£
269.14
Give your answer rounded to 2 DP.
Answer:
Answer = £491.18 (to 2 d.p)
given the first layer of a convolutional neural network with units, and which inputs in grayscale images that have pixel dimensions, what is the size of the weight matrix for this cnn? describe what the rows/columns represent
To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.
In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.
The values in the weight matrix represent the learnable parameters of the CNN. By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.
To learn more about convolutional neural network (CNN) click here:
brainly.com/question/31285778
#SPJ11
Write a sentence for each formula. Then interpret the situation. equation in the context of the situation
I NEED HELP
The formula for the volume of a
volume, cylinder is V= Trh, where Vis the r is the length of the radius of the base, and h is the height of the cylinder.
It should be noted that the formula for the volume of a cylinder is V= Tr²h.
How to illustrate the information?Based on the information, should be noted that the formula for the volume of a cylinder is V= Tr²h.
where r = radius
h = height
For example, let's assume that a cylinder has a radius of 7cm and height of 5cm. It should be noted that the volume will be illustrated as:
Volume = πr²h
Volume = π × 7² × 5
Volume = 245π
Therefore the volume of the cylinder will be 245π.
In conclusion, it should be noted that the formula for the volume of a cylinder is V= Tr²h.
Learn more about volume on:
brainly.com/question/1972490
#SPJ1
the probability of getting an ace or a King from a pack of 52 cards is :
1/4
2/13
5/13
6/13
Answer:
2/13
Step-by-step explanation:
Cdgfsggdehfetgfrhfer
Emily draws figures P, Q, R, and S. The center of dilation is point Z. Which figures are similar to figure Q? Explain your reasoning
WELP PLZ HELP ME
Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
The figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
Emily draws figures P, Q, R, and S. The center of dilation is point Z.
It is claimed that two figures are comparable if they share the same shape. The ratios of the lengths of the corresponding sides are equal when the two figures are comparable.
The similar figures P, R, and S are comparable to figure Q since they share the same shape but differ in size.
Thus, the figures P, R, and S are similar to figure Q because the similar figures have the same shape but not the same size.
Learn more about the similarity law here:
brainly.com/question/8045819
#SPJ2
Below are the demand and supply equations for overhead projectors in a certain market. In these equations, p represents price, D represents demand, and S represents supply. S = three-fourths p minus 28 D = negative 2 p 131 What is S at the point of equilibrium, to the nearest whole number? a. 12 b. 15 c. 58 d. 67.
For the equilibrium, the value of supply and the value of demand will be equal. Then the value of price (p) is 58.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The demand and supply equations for overhead projectors in a certain market.
In these equations, p represents price, D represents demand, and S represents supply.
\(\rm S = \dfrac{3}{4}p - 28 \\\\D = -2 p + 131\)
For the equilibrium, the value of supply and the value of demand will be equal. Then we have
\(\begin{aligned} \dfrac{3}{4}p - 28 &= -2 p + 131\\\\3p- 112 &= -8p + 524\\\\11p &= 636\\\\p &= 57.81818 \approx 58 \end{aligned}\)
More about the linear system link is given below.
https://brainly.com/question/20379472
Answer: B. 15
Step-by-step explanation: edge 2022 i got it right
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2). What is a reasonable time for it to take the baseball to land on the ground?
Answer:
7 seconds
Step-by-step explanation:
We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.
The factored form of the equation tells us ...
h(7) = -16(7 -7)(7 +2) = 0
So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.
_____
The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.
brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?
Answer:
4
Step-by-step explanation:
HELLLLLLPPPPP MEEEEEEE PLEASEEEEEE
Answer:
35 per hour
Step-by-step explanation:
50 is basic fee, add 35 every hour and you will get the same results
Fill in the blank question.
Last month, the online price of a powered ride-on car was $250. This month, the online price is $330. What is the percent of increase in the price of the car? Round the percent to the nearest tenth if necessary.
The percentage of increase in the price of the car is 32%
What is the percentage of increase?Percentage increase means adding the given percentage of value to the original value.
To calculate this percentage increase:
= 100{( final value - initial value )/initial value}
Given that last month online price of powered ride-on car was $250
and this month this cost is $330
Initial value = $250
Final value = $330
Percentage increase = 100{ ( 330 -250 )/250} =100*0.32 = 32%
This the percentage increase in the price of the powered ride-on car is 32%
Also, learn more about the percentage increase from below link:
https://brainly.com/question/15416004
#SPJ1
Complete the following steps to plot an image of your own choosing (a) Create a list containing a set of ordered pairs needed to create your image. Name the list mylist. Be sure to list the points in the order in which they will be connected together. The created list should begin and end with (0,0) in order to connect the last point back to the first point. (b) Use the command HGMatrix to convert your matrix into a matrix and assign this matrix the name mylistmat and then use the Plotimage command to plot the corresponding image.
To plot an image of your own choosing, you can follow these steps. First, create a list containing a set of ordered pairs that represent the points needed to create your image.
To create the image, you need to define the set of ordered pairs that form the outline of the desired shape. The points in the list should be ordered in a way that connects them together to form the shape. Including (0,0) at the beginning and end ensures that the last point connects back to the first point.
Once you have the list of ordered pairs, you can convert it into a matrix using the "HGMatrix" command. This step is necessary for plotting the image using the "Plotimage" command. The matrix, named "mylistmat," will represent the points in a format suitable for plotting.
Finally, using the "Plotimage" command, you can plot the image based on the points in "mylistmat." The command will take the ordered pairs and connect them together to create the desired image.
By following these steps, you can plot your own image using the specified list, matrix conversion, and image plotting commands.
Learn more about matrix here:
https://brainly.com/question/29132693
#SPJ11
Last night, Jasmine and her family went out for dinner. The questions below came up on their way to the restaurant or during the meal. Decide whether or not each question is a statistical question. Select all that apply.
●How far are we from the restaurant?
●How long will it be until we get there? ●Would you rather have burgers or pizza?
●How much should we leave for the tip? ●What was the most frequently ordered dish in the restaurant this evening?
●Did you like the pizza tonight?
●Which table's bill was the highest?
●How many people were sitting at each table this evening?
A statistical question is a question where the data collected can vary.
Ex. Statistical - "How old are the students in my class?" The data can vary based on which student you ask.
The following questions are statistical:
●Would you rather have burgers or pizza?
●How much should we leave for the tip?
●Did you like the pizza tonight?
●How many people were sitting at each table this evening?
These questions can vary based on who you ask or where you look
I hope this was helpful! =)
A teacher spends $150 on school supplies for the classroom, folders are $0.25 each and notebooks are $2.50 each. This linear relationship can be represented by 0.25x+2.50y=150, where x represents the number of folders and y represents the number of notebooks.
.Identify the x-intercept. Explain what this means in the context of the problem.
.Identify the y-intercept. Explain what this means in the context of the problem.
.Identify one additional combination of school supplies that the teacher could have .purchased with their budget. Explain what this means in the context of the problem.
Here’s your answer it’s in the screenshot that is attached
Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot Will give brainliest screenshot attached
Answer:
one 5 and 2 ones hope this will help u
Answer:
One and five should be the answer.
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!
Answer:6:15
Step-by-step explanation:
how many students must be enrolled for the teacher to make 1,000 profit per month
Answer:
20
Step-by-step explanation:
can someone please help me in my recent math problem :((
Answer:
sure
Step-by-step explanation:
tip, add the question.
a man bought 250 electric lanterns in the united States of America for $5000. he sold them them in lagos at 1,920 naira each. at the time of his journey back to USA, the exchange rate was #96 to dollar
1. if selling at the lanterns at 1920 naira each, he made a profit of 20% cal the exchange rate the time he bought the lantern
2. how much in dollar will the sales amount to the of his journey back to USA
Answer: 4166.67$
Step-by-step explanation:
1920 x 250 = amount
Amount = 120%
Cost price = 100%
1920 x 250= 120%
Cost price = 100%
Cross multiply and divide both side by 120
1920 x 250 x 100/120 = price
Exchange rate = cost in #/cost in $
= (1920 x 250 x 5/6)/(5000)
= (96 x 5/6) = 16 x 5= 80
Exchange rate then was 80 to 1$
The sales will be 400000/96 = 4166.67$
Answer:
1. $1:#80
2.$5000
Step-by-step explanation:
ok... lots of moving parts here ....
$5000 / 250 = $20 per lantern.
~~~~~~~~~~~~~~~~~~
x (1 + .2) = 1920
x = 1600
~~~~~~~~~~~~~~
$5000 : (1600*250)
$5,000:#400,000
c
~~~~~~~~~~~
sales back to the us at $1:#96
1920*250 = 480000
#480000/#96=$5000