The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.
What is Proportion?Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,
Christian height = 1.35 m
Tree shadow = 38.65 meter
Christian shadow = 34.4 meters
Let's establish the proportion to find the height of the tree. Therefore,
let
x = height of the tree
1.35 / x = 34.4 / 38.65
cross multiply
38.65 × 1.35 = 34.4x
x = 52.1775 / 34.4
x = 1.5167877907
x = 1.52 meters
Therefore, The height of the tree is 1.52 meters.
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Answer:
The answer is 1.52.
Step-by-step explanation:
A cloud directly above you is about 10° across. From the weather report, you know that the cloud is at an altitude of 2200 m. How wide is the cloud?
The width of the cloud is 12500 meters wide.
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the altitude is the opposite side of the triangle formed. The width of the cloud is the adjacent side of the triangle formed.
tan 10 = opposite / adjacent
Therefore,
tan 10° = 2200 / a
cross multiply
a = 2200 / tan 10°
a = 2200 / 0.1763269807
a = 12500 meters
Therefore, the width of the cloud is 12500 meters .
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If 60% of a number is 90, what is the number
Answer:
60% in a fraction is: 60/100
60/100 of a variable, x, is equal to 90.
So we format it this way and solve for x;
60/100 * x = 90
60/100x = 90
0.6x = 90
/0.6 /0.6
x = 150, is the number.
A piece of art is in the shape of an equilateral triangle with sides of 15 in.
What is the area of the piece of art to the nearest tenth?
O 73.45 inches squared
84.5 inches squared
O 97.4 inches squared
169 inches squared
Answer:
97.4 inches squared
Given: ABCD is a parallelogram GEC ∠GEC≅∠HFA and AE ≅ FC .
Prove: △GEC≅△HFA.
Answer:
Step-by-step explanation:
3) Congruent segments added to congruent segments form congruent segments
4) [tex]\overline{AD} \parallel \overline{BC}[/tex] (opposite sides of a parallelogram are parallel)
5) [tex]\angle FAH \cong \angle GCE[/tex] (if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent)
6) [tex]\triangle GEC \cong \triangle HFA[/tex] (ASA)
The speed of hair growth for humans is about 1, centimeters per month. Susan's hair has grown 3 centimeters since the last time she got it cut. Let z be the number of months she has been growing her hair. Write a number model to show how many months she has been growing her hair. Then solve the problem.
Answer: z = 3
Step-by-step explanation: 1 centimeter = 1 month so 3 centimeter = 3 months
Explain how to use the Zero-Product Property to find the solution of the equation 3x(x – 6) = 0.
Answers: set the expression 3x equals to 0 and set the expression x-6 equal to 0, then solve both equations for x
Step-by-step explanation: x = 0, x = 6
help please, i dont know how to do this
Answer:
they are not simular
Step-by-step explanation:
one has longer sides then the other and one has shorter sides
Eric recorded the total number of push-ups he did each minute for four minutes write the order number pairs as ordered pairs
Answer:
(1, 15), (2, 30), (3, 45), (4, 60)
Step-by-step explanation:
So the values are already given to you in the table, it's just a matter of turning them into ordered pairs. Ordered pairs are a set of numbers that represent a point on the coordinate plane. On the graph, the x-axis (horizontal) is for time and the y-axis (vertical) is for the amount of push-ups. An ordered pair is (x, y) so you put (amount of minutes, amount of push-ups). For how they're related, how many push-ups he did increases by 15 for every minute. So, the y-value increases by 15 when the x-value increases by 1.
PLEASE HELP HURRY! I HAVE AN F IN MATH!!!
A prism is completely filled with 64 cubes that have edge lengths of 12 in.
What is the volume of the prism?
Enter your answer in the box.
__ in³
Answer:
Step-by-step explanation:
Volume of cube = edge³
= 12*12*12
= 1728 in³
Volume of prism = volume of 64 cubes
= 64 * volume of a cube
= 64 * 1728
= 110592 in³
The line of best fit for a scatter plot is shown (6.04)
Answer:
y- 1/2x+8
Step-by-step explanation:
the slope is negative 1/2
+
Question 9 (Multiple Choice Worth 5 points)
(05.02 MC)
The angles shown below are supplementary:
10x
70°
What is the value of x?
O 100
O 110
O 20°
021
Answer:
x=11
Step-by-step explanation:
supplementary angles add up to 180 degrees
10x + 70 =180
10x = 110
x=11
11x10 = 110
110+70 = 180
I don't understand how the problem wants me to set up the equation, much less how to find the right answer.
A line passes through the point (-10,-7) and has a slope of
2 Write an equation in slope-intercept form for this line.
Answer: Below
Step-by-step explanation:
so using slope intercept form, we know that y = mx + b. We plug in our values. Since -10 is the x value and -7 is the y value, and 2 is the slope:
-7 = 2(-10) + b
Simplify.
-7 = -20 + b
13 = b
We plug b into the slope intercept form, this time without an x or y value to make it apply to all points on the line.
y = 2x + 13
That's our answer.
What does mean mean on sports teams
Answer:
Physical activy used for pleasure.
Step-by-step explanation:
It's just a meaning so I can't provide an explanation.
Find the derivative of the function. f(x) = (tan5(x) + 2)^2
[tex]f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*\frac{d}{dx}(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)[/tex]
Hope that helps!
[tex]\begin{gathered} \rm Prove \: that :- \\ { { \rm { f ( x ) = f ( 0 ) + \dfrac{x}{1!} f'(0) + \dfrac{x²}{2!} f''(0) + \dfrac{x³}{3!} f'''(0) + \cdot \cdot \cdot \cdot \cdot \cdot \cdot }}}\end{gathered}[/tex]
The series you had provided is generally the Maclaurin's series , and we want to prove the series , this series is very very much useful in calculus , especially when you have to substitute a function by it's series . So now let's start !
Consider the function f(x) as series of a polynomials of nth (n ≥ 1) degree as
[tex]{\boxed{\bf{f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}}}[/tex]
Now , at x = 0
[tex]{:\implies \quad \sf f(0)=a_{0}+a_{1}(0)+a_{2}(0)^{2}+a_{3}(0)^{3}+a_{4}(0)^{4}+\cdots \cdots \infty}[/tex]
[tex]{\boxed{:\implies \quad \sf f(0)=a_{0}}}[/tex]
Now , again consider the function that we assumed
[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]
Differentiating both sides w.r.t.x will yield
[tex]{:\implies \quad \sf f^{\prime}(x)=0+a_{1}\times 1+a_{2}\times 2\times x+a_{3}\times 3\times x^{2}+a_{4}\times 4\times x^{3}+\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]
Now , put x = 0 ;
[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}+2a_{2}(0)+3a_{3}(0)^{2}+4a_{4}(0)^{3}\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(0)=a_{1}}[/tex]
[tex]{\boxed{:\implies \quad \sf a_{1}=\dfrac{f^{\prime}(0)}{1!}}}[/tex]
Now , consider ;
[tex]{:\implies \quad \sf f^{\prime}(x)=a_{1}+2a_{2}x+3a_{3}x^{2}+4a_{4}x^{3}\cdots \cdots \infty}[/tex]
Differentiating both sides w.r.t.x now ;
[tex]{:\implies \quad \sf f^{\prime \prime}(x)=0+2\times a_{2}\times 1+3\times a_{3}\times 2\times x+4\times a_{4}\times 3\times x^{2}\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime \prime}(x)=2a_{2}+6a_{3}x+12a_{4}x^{2}+\cdots \cdots \infty}[/tex]
Now , putting x = 0 will yield ;
[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}+6a_{3}(0)+12a_{4}(0)^{2}+\cdots \cdots \infty}[/tex]
[tex]{:\implies \quad \sf f^{\prime \prime}(0)=2a_{2}}[/tex]
[tex]{\boxed{:\implies \quad \sf a_{2}=\dfrac{f^{\prime \prime}(0)}{2!}}}[/tex]
Now , similarly we can prove that ;
[tex]{\boxed{:\implies \quad \sf a_{n}=\dfrac{f^{n}(0)}{n!}}}[/tex]
Now , as we had considered ;
[tex]{:\implies \quad \sf f(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}+\cdots \cdots \infty}[/tex]
Now , putting the values we obtained above ;
[tex]{:\implies \quad \sf f(x)=f(0)+\dfrac{x}{1!}f^{\prime}(0)+\dfrac{x^2}{2!}f^{\prime \prime}(0)+\dfrac{x^3}{3!}f^{\prime \prime \prime}(0)+\dfrac{x^4}{4!}f^{\prime \prime \prime \prime}(0)+\cdots \cdots \dfrac{x^n}{n!}f^{n}(0)+\cdots \cdots \infty}[/tex]
Hence , Proved
Simplify Expression:
3b+8b+9b
Answer:
20b
Step-by-step explanation:
3+8+9
3+8=11
9+11=20
3b+8b+9b
3b+8b=11b
11b+9b=20b
Answer:
Since they all have the same variable, you add them all together. so it would be 20b !!
Step-by-step explanation:
NEED HELP ASAP WILL MARK BRAINLIEST Read the following scenario and answer the questions. Your manufacturing company incurs several costs to make the finished product, which are cans of eco-friendly paint. You purchase 100 empty cans at $2.00 each and 200 labels for the cans of paint at $1.00 each. You have two employees who bottle the paint into the cans and one additional employee who places a label on each can. You take a printout from your clock where the employees have entered their time and find that the wages due to these three employees is $2,000.00. You must also pay payroll taxes in the amount of $140.00 total for these three employees. A number of other costs incurred must be taken into consideration as well: depreciation on the factory machine of $150.00, utilities of $200.00, prepaid insurance of $600.00, and property taxes on your building of $2,000.00. Prepare the journal entries to record the purchase of the raw materials, the labor incurred, and the overhead incurred. Assume that $100.00 of the raw materials and $1,000.00 of the indirect materials were used. Prepare the journal entries to assign these materials to the jobs and overhead. Of the $2,140.00 in factory labor, $500.00 was attributed to indirect labor costs. Prepare the journal entry to assign the labor to jobs and overhead. You determine that direct labor cost is the activity base for determining the predetermined overhead rate. The following information is known about the estimated annual costs: overhead costs: $18,000.00 direct labor costs: $25,000.00 What is the predetermined overhead rate? What is the journal entry to assign overhead to jobs? Prepare the journal entry to transfer costs to Finished Goods. A sale of the goods takes place. The goods are sold for $5,000.00. Prepare the journal entry to record this sale.
Answer:
answer is 2.8 im not sure so check with another person mark me as brainliest
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
What is the value of x if the angles are complementary?
1.) 35
2.) 20
3.) 25
4.) 15
Answer:
4.) 15
Step-by-step explanation:
90 - 75 = 15 which would be the answer.
Factor the expression. 81x^2 - 121
[tex]81x^{2} -121=(9x-11)(9x+11)[/tex]
Hope that helped!
Factoring:
[tex]81x^2-121=(9x+11)(9x-11)[/tex]
Hope that helps!
what is the result of converting 81 inches to feet
Answer:
81 inches is 6.75 feet
Step-by-step explanation:
hope this helps
Answer:
6.75
Step-by-step explanation:
Given;
81 Inches to Feet
Note;
Formula of Inches to Feet : divide the length value by 12
Solve;
81/12 = 6.75
Thus, Result of converting 81 inches to feet is 6.75
[RevyBreeze]
f(x) = 6x + 4. Find the inverse of f(x).
A. f^-1(x) = 6x - 4
B. f^-1(x) = x-6/4
C. f^-1(x) = 4 - 6x
D. f^-1(x) = x-4/6
D. f-1(x) = x-4/6
Step-by-step explanation:
y = 6x + 4
-4
y-4 = 6x
÷6
y-4/6 = x
(Swap y and x around to find the inverse)
Inverse will be:
x - 4/6 = y
So, f-1(x) = x-4/6
Hope this helps!
50 points + brainliest
Choose A B C or D for problems 8, 9, 10, and 11
*No explanation needed*
TY:))))
Answer:
8. B.
9. B.
10. B.
11. No answer choices.
Step-by-step explanation:
Yes, they are all actually B. Hope this helps!
Answer: B, B, B
Step-by-step explanation: The last question has no answer choices shown.
10. The number of people who have heard a rumor increases exponentially. If all who hear a rumor repeat it
to two people per day, and if 20 people start the rumor, the number N(t) of people who have heard the
rumor after t days is given by N(t) 20(2).
a. After what amount of time will 1000 people have heard the rumor?
=
1000 people will have heard the rumor
by 6 days.
1000 = 2012)
20
20
Soat
2t - 50
10g (50) = +
5.643856
b. What is the doubling time for the number of people who have heard the rumor?
+
Answer:
2000 is the answers.............
8 ounces ____ 1/4 pound
Which one is bigger,equal or less
Answer: GREATER
Step-by-step explanation:
1/4 of a pound is 0.125 divided by 4 please correct if wrong 8 ounces to a pound would be 0.5/0.50
Change 7 square yard to feet
It is never helpful to rewrite a quadratic equation in standard form as a first
step in solving it.
True or False
Answer:
false and can you please help me on my last question i posted its bout john henry
Step-by-step explanation:
Find the commission on a sale of $600 with a 5% commission rate.
$15
$30
$50
$45
Pls help me
Answer:
30
Step-by-step explanation:
5% of 600 is 30 so that should be ur answer
Find the area of this rectangle if ( L= 5 1/2) and (w = 3 1/2)
Answer:
A= 19 1/4
Step-by-step explanation:
to find the area of a rectangle, it would be LxW
so you would take 5 1/2 x 3 1/2. this would give you 19 1/4
An ostrich is
running at a speed
of 43 miles per
hour
Is it proportional or non proportional
The relationship iof the ostrich running at 43 miles per hour is proportional.
Speed of the ostrichSince speed = distance per unit time
The speed of the ostrich is 43 miles per hour. This means that the ostrich covers a distance of 43 miles every hour.
Since the ostrich always covers a distance of 43 miles every hour, we see that distance is proportional to time.
So, the relationship iof the ostrich running at 43 miles per hour is proportional.
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