At a certain time of day, the sun shines on a large flagpole causing a shadow that is twice as long as the flagpole is tall what is the height of the flagpole to the nearest tenth of a foot?
350ft
Answers
Answer:
156.5
Step-by-step explanation:
The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
The large flagpole height = adjacent = xThe shadow of the flagpole = opposite = 2xThe hypotenuse = 350 ftUsing the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
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Related Questions
Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is
$12/h. Indigo Research was billed $876.00 last month fc
hours charged for usage during peak times.
40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak time
Answers
You save $1400 from a summer job. You decide to put it into an account that earns simple annual interest. After 9 months, your balance is $1421. Find the annual interest rate.
Answers
Answer:
2%
Step-by-step explanation:
Calculate annual interest amount first:
annual interest x 9/12=21
Annual interest =21x12/9
annual interest amount=$28
calculate annual interest rate
1400 x interest rate = annual interest
$1400 x interest rate = $28
interest rate =$28/1400
interest rate=.02 or 2%
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.36 and event B occurs with probability 0.31. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). 0. x 5 ? (b) Compute the probability that either A occurs without B occurring or A and B both occur. 0.36
Answers
Answer:
Events A and B are dependent
Step-by-step explanation:
If A and B are two events such as A and B are dependent then
P(A∩B) P(A) P(B)
An event A will occur with probability 0.4 that is
An event B will occur with probability 0.6 that is
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) P(A) P(B)
So,
events A and B are dependent
What is the integer closest to the square root of 17
Answers
Answer:
4
Step-by-step explanation:
[tex]\sqrt{16}[/tex] = 4
Answer:
4.
Step-by-step explanation:
The square root of 17 is 4.12...
square root of 16 is 4
The 819 runners in a race are divided into 6 different groups as equally as possible. How many extra runners are in the last group
Answers
Answer:
3 runners will be in the last group
Step-by-step explanation:
So first you need to divide the 819 runners into 6 different groups. Once you do this... you get a total of 136. So there are 136 runners in each of the 6 groups. However, once you get to the end of the division problem, there is a remainder of 3. These three stand for the last 3 runners. Giving you your answer.
I hope this helps you!!!
Mayne is 28 years old. She is 12 years older than 2/3 of Laurels age. Which equation can be used to find Laurels age, a?
Answers
Answer:
B. ⅔a + 12 = 28
Step-by-step explanation:
Here are the options to this question
) ⅔ + 12a = 28
b) ⅔a + 12 = 28
c) ⅔a + 12a = 28
d) -⅔a + 12 = 28
Mayne's age can be represented with this equation =
28 = 12 + 2/3a
where a = laurels age
a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?
Answers
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)
Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB
Answers
Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings
Step-by-step explanation: took the quiz.
The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).
What is break-even point?The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.
The formula for finding the break-even point is:
Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)
Where:
Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.
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Look at the equation below.
77 +9y = 4
What is the value of y?
4 -9
B -8.1
с 9
D 21.5
Answers
Please help out and explain the best you can! Tysm !
Answers
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices of ΔOAB,
O → (0, 0)
A → (2, 4)
B → (5, 0)
If a point (h, k) is rotated 90° counterclockwise about the origin the image point will be,
(h, k) → (-k, h)
By this rule, if triangle OAB is rotated 90° counter clockwise, new vertices will follow the same rule,
O(0, 0) → O'(0, 0)
A(2, 4) → A'(-4, 2)
B(5, 0) → B'(0, 5)
By plotting these points we can get the image triangle.
Sara invested a total of $1,014 by purchasing shares of two types of stock, stock A and stock B. she purchased 52 shares of stock A and 65 shares of stock B. if the combined cost for one share of stock A and one share of stock B is $17.18 find the cost per share of stock B
Answers
Answer: I think the answer might be 9.28.
Step-by-step explanation:
I was also confused with this question so I might be wrong.
Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.
You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)
ANYWAYS HOPED THIS HELPED :)
PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!
Answers
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
help asap kinda confused D;
Answers
Answer:
its 8
2 to the power of 3 is 8
Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answers
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
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PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much more does a person with a bachelor's degree earn than a person with a high school diploma over the course of 15 years?
A)$387,075
B)$398,730
C)$753,585
D)$785,805
Degree of education Income
High school diploma $26,582
Associate's degree $37,955
Bachelor's degree $52,387
Master's degree $59,995
Doctoral degree $76,821
Answers
Find the area of the parallelogram. 9 m 2 m A = b.h • 9 m?
Answers
Answer:
2.9
18 [tex]m^{2}[/tex]
Step-by-step explanation:
What is the diameter of a circle go through
Answers
Answer:
The diameter of a circle passes through the center of the circle and has its endpoints on the circle itself. The diameter of any circle is two times the length of that circle's radius.
Step-by-step explanation:
To find the diameter of a circle, you need to know the radius of the circle, double it to get the diameter. The radius is the distance from the center of the circle to its edge. If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by π to get the diameter.
Originally, a department store bought a set of dishes at a cost of $57.68 and marked it up 125%. After a month, the set of dishes had not sold, so the store marked it down 50%. What was the discounted price?
Answers
Answer:
$64.89
Step-by-step explanation:
57.68 + 1.25 × 57.68
= 57.68 + 72.1
= 129.78
The original price was $129.78.
129.78 – 0.50 × 129.78
= 129.78 – 64.89
= 64.89
The discount price was $64.89.
Answer:
$64.89
Step-by-step explanation:
if y=27 when x= 8 find y when x =11
Answers
Answer:
37 1/8
Step-by-step explanation:
The problem probably assumes direct variation
y=kx
IF so, then plug in the values and solve for k
27=k(8)
k = 27/8
y= (27/8)x. Now let x = 11
y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8
y = 37 1/8
the problem is making some assumption about the relation between x and y. The simplest assumption that's likely is direct variation, that x and y are linearly related. The graph is a straight line through the origin with slope = 27/8
(a) An angle measures 30°. What is the measure of its supplement?
(b) An angle measures 26°. What is the measure of its complement?
Answers
Answer:
32 and 58.
Step-by-step explanation:
complementary angles add up to 90.
26+x=y
x+y=90
plug y=26+x into the above equation
x+26+x=90
2x=64
x=32
The angles are 32 and 58.
i need help can someone help me
Answers
the mode is $6.00
thats the number there is the most of
Express y in terms of x
Answers
Answer:
y = x
Step-by-step explanation:
Answer:
y=x should be correct since both the x and y values are equal in the table.
need help!!!!!!!!!!!!!!!!!!!
Answers
Answer:Table 3 i think
Step-by-step explanation:
What determines the inherited traits of an organism? 1. the number of chromosomes in a cell
2. the size of the chromosomes
3. the proteins produced by a cell
4. the Gene's of its chromosomes
Answers
Answer:
Step-by-step explanation:
The length of metaphase chromosomes may vary considerably (in average from ∼1 to >20 μm)
The information to produce a protein is encoded in the cell's DNA. When a protein is produced, a copy of the DNA
Chromosomes are structures within cells that contain a person's genes. Genes are contained in chromosomes, which are in the cell nucleus.
Find the exact circumference of a circle with the given radius.
36 inches
C =
Answers
EXPLANATION:
Since 36 is the radius you multiply that by 2 to get diameter which is 72. Then you multiply 72 by pi to get 226.19.
plzzzzz help i really need it guys thxxxxxxxx!
Answers
Answer:
11. m=-1/4 b=5 equation is y=-1/4x+5
12.m=4/3 b=0 equation is y=4/3x
Step-by-step explanation:
When you exercise, your target heart rate r at 70% can be determined by the formula r = 0.7(220 − a) where a represents your age in years. Solve the formula for a.
PLEASE HELP
Answers
don’t use those links they’re scams
Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=
Answers
Answer:
1/2 > 3/8
Step-by-step explanation:
To compare the answers, we need to change them to the same denominator.
2x4=8
So we can create an equivent fraction of 1/2 by dividing both numbers by 4:
1x4=4
2x4=8
1/4=4/8
Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.
Hope this helped!
Can someone plz help me
Answers
Answer:
41 degrees
Step-by-step explanation:
All three angles in a triangle must add up to 180 degrees. The picture already tells you that B is 63 degrees. This means A and C should both add up 117 degrees. If A is 2x+8 and B is x+7, then A+B is 3x+15. This means that 3x+15 is equal to 117 degrees.
3x + 15 = 1173x = 117 - 153x = 102x = 102/3x = 34Now that we know that x is 34, we plug it in. X + 7 becomes 34 + 7 degrees which is equal to 41 degrees.
Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon
Answers
Answer:
17
Step-by-step explanation:
Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.
I'm pretty sure thats right, Hope this helps.
