The distance of the flag pole from the end of the shadow is 23.32 feet.
How to find the side of a right triangle?A 20 foot flag pole is casting a shadow that is 12 feet long. Therefore, the distance of the top of the flag pole to the tip of the shadow can be calculated as follows:
The situation forms a right angle triangle.
Hence, using Pythagoras's theorem, we can find the distance.
Therefore,
c² = a² + b²
where
c = hypotenusea and b are the legsTherefore,
20² + 12² = c²
400 + 144 = c²
c = √544
c = 23.3238075794
Therefore,
distance of the flag pole to the end of the shadow = 23.32 feet
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What is the property of 4x+6=18
Answer: 4x-6= 18
4x=24
x= 24 & 4
x=6
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?
But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.
PLZ HELP!! NEED QUICKLY!!
Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.
Answer:
DF = 3
m<B = 28 degrees
Step-by-step explanation:
Hope that helps!
Write
7
2
5
as an improper fraction.
Answer:
7*2/5 it is a improper fraction
Answer:
[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Those are all the improper fraction forms of 7, 2, and 5.
Is the line vertical or horizontal if the equation is x=-1.
Answer:
the line is vertical
Answer:
vertical.
Step-by-step explanation:
you can tell its vertical because it says x=-1, meaning it will be on the x axis. i also graphed it in the picture. hope this helped !
solve for x 3x/2= 15
Answer:
the answer is x=10
:)
Step-by-step explanation:
Need help with a math question urgently
If 1
Answer:
Wheres the picture-
Step-by-step explanation:
What is the actual distance between River City and Pine Bluff?
Solve
Four times the sum of 6 and some number is 32. What is the number?
Answer:
Thus, the value of x is 1.
Step-by-step explanation:
4(2x+6)=32
8x+24 =32
8x =32-24
8x =8
x =8÷8
x =1
aplicaciones de la geometría en la vida
Answer:
I don't understand I'm sorry.....
what is the slope between the points (14,1) and (6,-15)
Which number is divisible by 8? O 1,026 1,024 1,022 1,020
Answer:
1024
Step-by-step explanation:
1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer
How do I solve this
4+(3.7-x)=1.72
Answer:
x = 5.98
Explanation:
1. 4+(3.7−)=1.72
2. 4+(−+3.7)=1.72
3. 4−+3.7=1.72
4. 7.7−=1.72
5. −+7.7=1.72
6. −+7.7−7.7=1.72−7.7
7. −=−5.98
Then simplify to x =5.98
Multiply (x+5)(x-2).
Answer:
x^2+3x−10
Step-by-step explanation:
X^2+3x-10
First multiply x with (x-2)Next multiply 5 with (x-2) with + sign between them
x(x-2)+5(x-2)
X^2–2x+5x-10
X^2+3x-10
Answer: x^2-2x+5x-10
Step-by-step explanation:
multiply x1 by x2 which equals x^2 then x1 by -2 which is -2x then multiply 5 by x2 which is positive 5x then multiply 5 by -2 which is -10
Which subtraction sentences have a difference of 142 Choose Yes or No for each number sentence.
5 - 4. Choose.
8
Choose
Choose...
9-81 choose.
Answer:
the question does not make sense. please rewrite the question.
Which boxes have a volume of 120 cubic feet? Box A: length of 5 ft, width of 4 ft, height of 6 ft Box B: length of 7 ft, width of 7 ft, height of 6 ft Box C: length of 3 ft, width of 6 ft, height of 4 ft Box D: length of 10 ft, width of 3 ft, height of 4 ft
Answer:
Boxes A and D have a volume of 120 cubit feet.
Step-by-step explanation:
First, we just have to find the volume for each box so we do...
The volume of box A is:
(Length) x (Width) x (Height) = 5 ft x 4ft x 6ft = 120 [tex]ft^{3}[/tex]
The volume of box B is:
(Length) x (Width) x (Height) = 7ft x 7ft x 6ft = 294 [tex]ft^{3}[/tex]
The volume of box C is:
(Length) x (Width) x (Height) = 3ft x 6ft x 4ft = 72 [tex]ft^{3}[/tex]
The volume of box D is:
(Length) x (Width) x (Height) = 10ft x 3ft x 4ft = 120 [tex]ft^{3}[/tex]
Now we can see that boxes A and D have a volume of 120 cubit feet.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEE
1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that , and she wrote the following equation to represent the value of .
(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of . Show your work.
(b) Write an equation and find the circumference of the circle.
Answer:
Answer:
C = 14 x Pi
C = 14 x 3.14
C = 43.96 in
Answer:
Step-by-step explanation:
The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)
Select the most appropriate response. An event A will occur with probability 0.4. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.20. We may conclude Question options: that events A and B are independent. that events A and B are dependent. that either A or B always occurs. that events A and B are mutually exclusive.
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) [tex]\neq[/tex] P(A) P(B)
An event A will occur with probability 0.4 that is [tex]P(A)=0.4[/tex]
An event B will occur with probability 0.6 that is [tex]P(B)=0.6[/tex]
[tex]P(A)P(B)=0.4(0.6)=0.24[/tex]
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) [tex]\neq[/tex] P(A) P(B)
So,
events A and B are dependent
According to the given probabilities, it is found that events A and B are dependent.
What are independent events?Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this problem, the probabilities given are:
[tex]P(A) = 0.4, P(B) = 0.6, P(A \cap B) = 0.2[/tex]
The multiplication is:
[tex]P(A)P(B) = 0.4(0.6) = 0.24[/tex]
Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], the events A and B are dependent.
You can learn more about dependent and independent probabilities at https://brainly.com/question/14478923
An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.
15 necklaces and 1 bracelet
8 necklaces and no bracelets
no necklaces and 16 bracelets
3 necklaces and 8 bracelets
no necklaces and 8 bracelets
5 necklaces and 6 bracelets
Answer:
8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets
Step-by-step explanation:
15 necklaces and 1 bracelet equals $38.75
8 necklaces and no bracelets equals 20
no necklaces and 16 bracelets equals 20
3 necklaces and 8 bracelets equals 17.5
no necklaces and 8 bracelets equals 10
5 necklaces and 6 bracelets equals 20
HELPPPPPP ANSWER ASAP
**100 points**
Which of the following is being constructed in the image?
A. a line parallel to a given line through a point, not on the line
B. a line perpendicular to a given line through a point not on the line
C. a line segment that is congruent to a given segment
D. a perpendicular bisector of a line segment
Alright, sorry for possibly wasting the answer, but its either D or B. i think its D, because its a bisector of the line segment, but B reads that it IS perpendicular, but on points not the line. You can rule out which one of the two it is, i would suggest asking a teacher for help or waiting for a better and more reliable answer.
Sorry if this doesn't help, if it does could I have Brainliest? Bless you, have a nice day.
Answer:
D
Step-by-step explanation:
What is the perimeter of the rectangle in the coordinate plane?
13 units
16 units
26 units
30 units
10+3+10+3= 26 units
the perimeter of the rectangle in the coordinate planes is 26 units
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
Please help me with this word problem thank you
Answer:
10 miles per hour
Step-by-step explanation:
122-52= 70
70 miles/ 7 hours
10 miles per hour
find x and round to the nearest tenth
Answer:
X=21.4
Step-by-step explanation:
^^^
f(x)=−x 2 −4x−19 find f(-9)
Answer:
64
Step-by-step explanation:
The value of the function f(x) = x² −4x−19 at the value x = -9 will be 98.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given function is f(x) = x² −4x−19. The value of the function at f(-9) will be calculated as:-
f(x) = x² −4x−19
f(-9) = ( -9 )² - ( 4 x --9 ) - 19
f(-9) = 81 + 36 - 19
f(-9) = 98
Therefore, the value of the function f(x) = x² −4x−19 at the value x = -9 will be 98.
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There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction
Please can someone help thank you very much :)
Answer:
1/3
Step-by-step explanation:
2/6 means that 2 out of the 6 tills have comfy seats. 2/6 simplified is 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The total amount of tilts is 6
The amount of tilts with comfortable seats is 2
So there are two tilts with comfortable seats out of six tilts that are in the supermarket
Now write it as fraction:
[tex]\frac{2}{6}[/tex] = [tex]\frac{2*1}{2*3}[/tex] (alternatively 2/6)
Here we get the probability
// divide numerator and denominator by 2
[tex]\frac{2*1}{2*3}[/tex] = [tex]\frac{1}{3}[/tex] (alternatively 1/3)
Riley planed 4 rows of pumpkins. There were 1,205 plants in each row. How many pumpkins plants did Riley plant?
Can anyone help me thank you
Triangle A is similar to triangle B.If the scale factor of triangle A to triangle B is 4 to 5,what is the ratio of the perimeter of triangle A to triangle B?
Answer:
4:5
Step-by-step explanation:
The ratio of the perimeter of the two similar shapes is equal to the scale factor of the two similar shapes.
Round 42,736,325 to the nearest million
Answer:
i hope this helps :)
Step-by-step explanation:
Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576
Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.
Thus 19,546,576 rounded to the nearest million is 20,000,000.
Answer:
43 million
43000000
Step-by-step explanation:
7 rounds up
pls plz plz plz plz plz help me pls
Answer:
7 i think
Step-by-step explanation:
Answer:
8 square units I believe!
Step-by-step explanation:
Hope that helps!