Answers
Answer:
x = 9.6 meters
y = 20.98 meters
Shadow length = 11.38 meters
Step-by-step explanation:
By applying tangent rule in right triangle ABD,
tan(21)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(21) = [tex]\frac{x}{25}[/tex]
x = 25(tan 21)
x = 9.5966
x ≈ 9.60 meters
Similarly, by applying tangent rule in ΔABC,
tan(40)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(40)° = [tex]\frac{BC}{AB}[/tex]
tan(40)° = [tex]\frac{y}{25}[/tex]
y = 25(tan 40°)
y = 20.98 meters
Length of the shadow of the man = y - x
= 20.98 - 9.60
= 11.38 meters
Related Questions
Once upon a time, on an island in the middle of an ocean, several tribes lived and fought with each other. A time came when all the tribes agreed to everlasting peace. So, they decided to build a giant monument to celebrate this Peace Treaty. The monument required a certain number of logs, and the tribes had to agree on the number of logs that each tribe was to provide. Had there been two fewer tribes on the island, this number of logs would have been 6. Had there been one more tribe on the island, this number would have been 5. Unfortunately, the tribes could not agree on what number of logs would be fair for the actual number of tribes. So the tribes announced an eternal war - and were not heard from ever again. How many tribes were on the island?
Answers
Answer:
4 tribes. I don't even know how to do this question at all since it's way too difficult for me but this is an attempt.
Step-by-step explanation:
Let's use negative terms.
-2 = 6
-1 = 5
0 = 4
1 = 3
2 = 2
3 = 1
4 = 0
como es la tierra redonda o plana?
Answers
Answer:
plnaa
Step-by-step explanation:
Answer:
redonda
Step-by-step explanation:
7z2−38z+15 Select the factors of this quadratic expression.
Answers
Answer:
(7z-3)(z-5)
Step-by-step explanation:
7z^2-38z+15
(7z-3)(z-5)
Answer:
(z - 5)(7z - 3)
Step-by-step explanation:
Given
7z² - 38z + 15
Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 7 × 15 = 105 and sum = - 38
The factors are - 35 and - 3
Use these factors to split the z- term
7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )
= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term
= (z - 5)(7z - 3) ← in factored form
Energy and mass are related by the formula
E = mc².
m is the mass of the object
c is the speed of light
Solve the equation for the mass of the object, m.
Answers
Answer:
m=E/c².
Step-by-step explanation:
Transposing the formula
E=mc²
we divide both sides by c² then cancel out where necessary so m would stand alone
E/c²=mc²/c²
cancelling c² on the right hand side, equation becomes
m= E/c²
still, now no one didn't answer my question but I help the brainly community
Answers
Answer:
I can help
Step-by-step explanation:
Find the gradient of each of these functions at the point indicated.
a) y = x^2 at (3,9)
b) y = - 4x^3 at (1,-4)
c) y = 2x^4 at (-1,2)
d) y = 6x at (2, 12)
Answers
Answer:
Remember that the gradient is equivalent o the derivative evaluated in one point.
And remember that if we have a function like:
f(x) a*x^n
The derivative is:
f'(x) = n*a*x^(n - 1)
Then knowing this, let's start:
a) y = x^2
the derivative is:
y' = 2*x
And we want to evaluate this in the point (3, 9), then we just need to replace x by 3.
y'(3) = 2*3 = 6
The gradient of y = x^2 at (3, 9) is 6.
b) y = -4*x^3
The derivative is:
y' = 3*(-4*x^2) = -12*x^2
And we want to evaluate this on (1, -4), then we need to replace x by 1.
y'(1) = -12*1^2 = -12
The gradient of y = -4*x^3 at (1, -4) is -12.
c) y = 2*x^4
The derivative is:
y' = 4*2*(x^3) = 8*x^3
And we want to evaluate this on (-1, 2), then we need to replace x by -1.
y'(-1) = 8*(-1)^3 = -8
The gradient of y = 2*x^4 at the point (-1, 2) is -8
d) y = 6*x
The derivative is:
y' = 6
We can see that here we do not have any dependence on x, so the gradient will be the same for all values of x, this means that the gradient at the point (2, 12) is 6.
Divide these fractions
2/3 = 3/4
Answers
Answer:
8/9
Step-by-step explanation:
I'm pretty sure after you make it a reciprocal you multiply it
A spinner is shown below.
Which of the following relative frequencies match the expected probability?
Answers
Kaityln saves $35 in 50 days. Her sister saves $15 in 20 days. Determine who is
saving at a higher rate.
Answers
Add the two expressions.
3y + 5 and y + 24
Enter your answer in the box.
Answers
Answer:
4y+29
Step-by-step explanation:
Collect like terms
3y + y = 4y
5 + 24 = 29
4y+29
Which expression is equivalent to 2 -35?
Choose 1 answer:
35. 2
35 2
2 + (-35)
02 (-35)
Answers
because the plus sign would cancel out due to the negative
35
-
2
____
33
Answer is -33
One less than five times a number is fewer
than twenty-four.
Answers
Answer:
x < 5
Step-by-step explanation:
[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]
Answer:
any number under 5
Step-by-step explanation:
5(5) -1 =24
so anything under that would equal fewer than 24
Is this what you're asking?
What is the easiest way to do the distributive property
Answers
Let’s use a random equation
(3x-7)(6x+2)
the F stands for “first”... the 3x is first in its parenthesis. The 6x is the first in its parenthesis. So multiply those. You get 18x^2
The O stand for “outer” the 3x and 2 are the outer. They equal 6x.
the I stand for “inner”. -7 and 6x are the inner parts of the equation. They equal -42x
The L stand for last. The last are -7 and 2. They equal-14.
Put it all together
18x^2+6x-42x-14
18x^2-36x-14
y=3x + 4 Find the value of y when x=4
Answers
its 16 because you’d rewrite the equation as y=3x4+4
PLZZZ HELP ITS DUE VERY SOON!
Write a function to represent each series of transformations:
• rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
• reflection across the y-axis, then a translation a units to the right and b units up
• translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answers
Answer:
Step-by-step explanation:
For the first one, I believe you would need to use a rotation matrix; to rotate 90º counterclockwise, the matrices would look like ; you would then multiply those out. A reflection across the x-axis would be changing the sign of f(x) (from negative to positive or positive to negative), a reflection across the y-axis would be changing the sign of x, translation a units to the right would be subtracting a from x, translation b units up would be adding b to x. Rotation of 180º about the origin would be the same format as the first matrix, except it would be cos180 and cos0 on the top and sin180 sin0 on the bottom. Reflection across the y-axis would be changing the sign of x again.
OR
1. We know that, 'Translation shifts the figure in any direction'.
As, the function f(x) is translated 'a' units to the right, the new form of function is f(x-a).
Again, the function is translated 'b' units up, the final form of the function is f(x-a)+b.
2 and 3. We know that, ' Reflection flips the image over a line'.
As the function g(x) is reflected over y-axis, the new form of the function is g(-x).
As the function h(x) is reflected over x-axis, the new form of the function is -h(x).
4 , 5 and 6. We know that, 'Rotation turns the image around a point to a certain degree'.
Let us assume the function to be a point (x,y).
As the function is rotated by 90° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{90}R
90
(x,y) = ( -y,x ).
As the function is rotated by 180° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{180}R
180
(x,y) = ( -x,-y ).
As the function is rotated by 2700° counterclockwise about the origin, the new function becomes ( y,-x ) i.e. R_{270}R
270
(x,
y=120w+200 y intercept
Answers
Answer:
w= - 5/3 + 1/120y, y eR
Step-by-step explanation:
y=120w + 200
Move the terms
-120w=200-y
Divide both sides
w= - 5/3 + 1/120y
Write in parametric form
w= - 5/3 + 1/120y, y eR
What is the answer to this.
Answers
Answer:
(0,0)
Step-by-step explanation:
Answer:
o,o
Step-by-step explanation:
trust me
Subtract. Express your answer in lowest terms. 10 5/11 - 4 2/11
Answers
Answer:
6 3/11
Step-by-step explanation:
Subtract the whole numbers: 10 - 4 = 6
Subtract the fractions: 5/11 - 2/11 = 3/11
10 5/11 - 4 2/11 = 6 3/11
someone help me with this
Answers
Which expression is represented by the model shown?
Answers
Explanation: There are 2 K’s, so this means that this would be written as 2K. There are also 5 1’s. If we add the 1’s altogether, we would get 5. we write this as an expression, so it would equal 2k + 5, or two K’s and 5 1’s.
I hope this helped!
Answer:
2k+5
Step-by-step explanation:
I will give brainliest!!!
The measure of 3 is 101º. Find the measure of 4.
79°
106°
74°
101°
Answers
Answer:
79
Step-by-step explanation:
3=1
4=2
3=101
1=101
2 and 4=180-101=79
Franco is solving a system of linear equations algebraically. He find that there
are an infinite number of solutions. Which is a possible step in his solution?
Answers
Answer:
B. 5=5
Step-by-step explanation:
What is the slope of the line
Answers
This is because the line is positive line. And you have to do rise/run
The rise is 4 and the run is 1.
4/1=4
Hope this helps have a good day! :)
Answer:
B) 4
Step-by-step explanation:
Use the slope formula:
slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (1 , -2)\\(x_2 , y_2) = (2 , 2)\\[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope:
[tex]m = \frac{2 - (-2)}{2 - 1} \\m = \frac{2 + 2}{2 - 1}\\m = \frac{4}{1} = 4[/tex]
B) 4 is your answer.
~
Have to find x,y and z.
Answers
Answer:
z= 2√2
x=2
y=2√2
Isaiah is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 10° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answers
Answer:
12750 is the answer... god bless
Owen is planning surgery to repair the torn ligament in his knee. The total cost of the surgery is expected to be about $7,000. Owen has a $1,000 deductible and then a 20 per- cent co-pay for this procedure. How much will Owen pay for his part of the surgery?
Answers
Answer:
$2200
Step-by-step explanation:
Given that Owen has $7000 to pay, with a $1000 deductible. This means that he has, left to pay, $6000.
Again, we're told that he has 20% Co pay for the procedure. Taking 20% of $6000, we have
20/100 * 6000 = $1200. This means be has $1200 to co pay for the procedure.
Adding this newly calculated $1200 with the previously set aside $1000, we have a total of $2200. This is the price Owen will pay from his part, as part of the surgery
What is Santon’s goal?
Answers
Anno one came answer that without numbers
Step-by-step explanation:
Answer:
Although Stanton remained committed to efforts to gain property rights for married women and ending slavery, the women's suffrage movement increasingly became her top priority. Stanton met Susan B
Step-by-step explanation:
tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. tara will randomly select 1 marble from each bag. what is the probability that tara will select a blue marble from each bag.
Answers
Answer:
From the first bag the probability is 5 out of 15 or 1/3 simplified
The second bags probability is 4 out of 9
All the bags combined the probability is 9 out of 24
Step-by-step explanation:
The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator
With everything said all you have to do is figure out the two steps an you’re good to go
Part B.
Describe two different ways you could find measure of CFD. What is the measure of
this angle?
Answers
Answer:
∠CFD = 60°
Step-by-step explanation:
Along line CE:
∠AFE + ∠AFB + ∠BFC = 180° (sum of angles on a straight line)
(7x + 4) + (8x + 6) + (6x + 2) = 180
collecting alike terms:
7x + 8x + 6x + 4 + 6 + 2 = 180
21x + 12 = 180
21x = 168
x = 8°
We could find the measure of CFD using:
a) Along line AD:
∠AFB + ∠BFC + ∠CFD = 180° (sum of angles on a straight line).
(8x + 6) + (6x + 2) + ∠CFD = 180
14x + 8 + ∠CFD = 180
∠CFD = `180 - (14x + 8)
∠CFD = 172 - 14x
b) ∠CFD = ∠AFE (vertical opposite angles are equal)
∠CFD = 7x + 4
To find value of ∠CFD, substitute x = 8
∠CFD = 7(8) + 4
∠CFD = 60°
Jireh flew his crop duster from the ground to an altitude of 3,500 feet. He continued to fly at that height for 20 minutes until he descended to 2,000 feet. He then flew back to the ground and landed his plane.
Which part of the scenario is best represented by a linear increasing interval?
Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Jireh flew at 3,500 feet for 20 minutes.
Jireh descended to 2,000 feet.
Jireh landed his plane.
Answers
Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.
Step-by-step explanation:
That is an example of an increasing interval.
Answer:
a
Step-by-step explanation:
