to find the height
multiply the length of shadow by the tangent of the angle
18 * tan(28) =9.5708
the tree is around 9.6 feet tall
The angle of elevation is the angle at which the object is viewed from below. The height of the tree is 8,45feet
Angle of elevationThe angle of elevation is the angle at which the object is viewed from below.
If tree casts a shadow that is 18 feet in length at the angle of 28 degrees, the height is calculated as:
sin theta = opposite/hypotenuse
sin 28 = H/18
H = 18sin28
H = 8.45 feet
Hence the height of the tree is 8,45feet
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Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12
Please Help!! Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven
60,000 is ten times as much as
What is an expression that is equal to 12m+12n
help me please. I don't know how to do this. so can you take me step by step if possible.
if a customer ordered 5 items and the order had a total of 17 wheels,how many wagons were ordered?
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
3(2 + y)
3 ⋅ 2 + y
2 + 3 ⋅ y
2(3 + y)
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What is the ANWSER to the question ? Thank you
Translate the sentence into an inequality.
Three subtracted from b is less than or equal to −17.
Simplify (5ab^4c)(-abc^2)
This is the answer that u seek
-5a^2b^5c^3
I need help with this.
Find the area of the parallelogram shown.
35 yd 2
24 yd 2
26 yd 2
40 yd 2
area = base x height
base = 5
and height = 7
so area = 7*5 =35 square yards
a person or company that allows others to borrow money is called
Answer:
ummm its called a lender since that person is "lending" you something
Step-by-step explanation:
A person or company that allows others to borrow money is called a "lender".
What is a Lender?A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.
Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.
The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.
Thus, a person or company that allows others to borrow money is called a "lender".
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A map of square piece of property is drawn at a scale of 1 : 500. If a side of the property on the map is 16 cm, what is the property's actual area?
Answer:
[tex]\text{Actual area of property}}=6400\text{ m}^2[/tex]
Step-by-step explanation:
Let x represent the actual side of square property.
We have been given that a map of square piece of property is drawn at a scale of 1 : 500.
We will use proportions to solve for our given problem.
[tex]\frac{\text{Actual length}}{\text{Map length}}=\frac{500}{1}[/tex]
[tex]\frac{x}{16\text{ cm}}=\frac{500}{1}[/tex]
[tex]\frac{x}{16\text{ cm}}*16\text{ cm}=500*16\text{ cm}}[/tex]
[tex]x=8000\text{ cm}[/tex]
[tex]x=80\text{ m}[/tex]
We know that area of a square is square of its side length.
[tex]\text{Actual area of property}}=(80\text{ m})^2[/tex]
[tex]\text{Actual area of property}}=6400\text{ m}^2[/tex]
Therefore, the actual area of property is 6400 square meters.
100 AAA batteries were tested on a particular MP3 player. Suppose the battery has a mean lifetime of 31.7 hours, with a standard deviation of 2.9 hours. How long do we expect the majority of batteries to last?A. Between 2.9 and 31.7 hours
B. Between 28.8 and 31.7 hours
C. Between 31.7 and 34.6 hours
D. Between 28.8 and 34.6 hours
31.7 -2.9 = 28.8
31.7 + 2.9 = 34.6
between 28.8 & 34.6 hours
D is the correct answer
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Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 AND 35.42
SET B: 781 AND 78.1
SET C: 1.2 AND 01.20
HELP??
A scatter plot is shown below
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 0)
(0, 9.5) and (10, 1.5)
Answer: The correct answer is D!
Step-by-step explanation:
What is the place value of 8 in 0.829
In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?
January to November == 11 months.
11 flats are painted every year.
100 flats / 11 flats per year = 9 years + 1 month
the next time it will be painted is September 2019.
Answer:
The answer is September 2019.
Step-by-step explanation:
In order to determine the date of the painting flat, we have to know how the painter works.
Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.
Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.
So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).
Now we add more painted flats every year:
3+11+11+11+11+11+11+11+11=91
At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.
Finally "my flat" will be painted in September 2019.
Please help to solve... Need steps
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees celcius. After 1 hour, the temperature is t^2 degrees celcius. If the temperature after 1 hour is 81 degrees celcius, what are two possible original temperatures? What is the difference between the possible original temperatures?
The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.
After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.
From the question:
t² = 81
Taking square root on both sides:
t = ±√81
t = ±9
t = 9 degrees Celcius
Or
t = -9 degrees Celcius
The difference between the temperature = (9) - (-9) = 18 degrees Celcius
Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
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Plz answer with showing work. #19
Which of the following is not a Pythagorean triple? A. 28,45,53 B. 16,63,65 C. 13,84,85 D. 11,61,62
The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.
what is the equation that represents the ellipse?????????
The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.
Explanation:The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.
Since the center is at (0, 0), the equation becomes:
x^2/a^2 + y^2/b^2 = 1
The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.
Substituting these values into the equation, we get:
x^2/144 + y^2/(25/12) = 1
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What is the prime factorization of 162?
If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).
use the numbers 2,3,5, and 8 to write an expression that has a value of -1
How many tenths are equal to 4/5 mile using a diagram
Which equation represents an exponential function with an initial value of 500