you divide 100 and 12. (100/12) once u divide it, you will get 8.33 seconds :)
from a point on the ground 47 feet from the foot of a tree, the angle of evelation of the top of the tree is 35 degrees. find the height of the tree to the nearest foot
For a better understanding of the solution provided here please go through the diagram in the attached file.
In the diagram, F is the foot of the tree.
T is the top of the tree. Then TF will be the height of the tree.
P is the point on the ground 47 feet from the foot of a tree. Therefore, PF=47.
Now, we know that the tree grows vertical from the ground and thus [tex] \angle F=90^{\circ} [/tex]
Thus, the triangle [tex] \Delta PFT [/tex] is a right triangle.
Now, we can apply the trigonometric ratio, tan in this triangle as:
[tex] tan(\angle P)=\frac{Perpendicular}{Base} =\frac{TP}{PF} [/tex]
[tex] \therefore tan(35^{\circ})=\frac{TF}{47} [/tex]
[tex] TF=47\times tan(35^{\circ})\approx32.91\approx33 [/tex]
Thus, the the height of the tree to the nearest foot is 33 feet.
The height of the tree is 32.90 feet.
P is the point on the ground, T is the top of the tree, and h is the height of the tree. We are given that PT = 47 feet and the angle of elevation from P to T is 35 degrees.
We want to find the height of the tree, which is represented by h in the diagram. We can use the tangent function to solve for h.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle.
In this case, the opposite side is h and the adjacent side is PT = 47 feet. Therefore, we have
tan(35°) = h/47
Solving for h, we get:
h = 47 * tan(35°) ≈ 32.90 feet
Rounding to the nearest foot, we find that the height of the tree is 33 feet.
SOS!!!!!!! HELP!!!!!!!!!!!!! Drink Soda Does Not Drink Soda
Play Video Games 13 7
Does Not Play Video Games 6 4
Jordan interviewed her 30 classmates on whether or not they played video games and if they drink soda. She displayed her results in the two-way table shown. Which statement is true? A) A classmate who drinks soda is more likely to play video games. B) A classmate who plays video games is not as likely to drink soda. C) About the same percentage of students play video games as those who don't drink soda. D) It is twice as likely that a student doesn't play video games nor drink soda as one who plays video games and drinks soda.
To function properly a rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance . A design calls for a drainage pipe to drop 25 inches as it crosses a building 45 feet wide.will the drainage pipe function properly?
Answer:
We know that the rainwater outflow pipe must drop 1 inch per 25 horizontal inches, this ratio would be:
[tex]\frac{y}{x}=\frac{1}{25}=0.04[/tex]
So, if the drainage pipe has this ratio, then it will function properly. Let's find out:
[tex]\frac{y}{x}=\frac{25}{540}[/tex]
Because, 45 feet is equivalent to 540 inches.
So, the ratio would be:
[tex]\frac{25}{540} \approx 0.046[/tex]
Therefore, the drainage pipe function will function properly because it has the same approximately ratio.The formula for the volume of a right triangular pyramid is V=1/6bhx , where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid./
x= v/6hh
x= b/6vh
x=6vbh
x= 6v/bh
What is (-98.6) divided by (3.8)
What is the volume of this rectangular prism ? 5/2 cm 1/3 cm 3/4 cm
What is the measurement of angle z in this figure?
Answer:
56
Step-by-step explanation:
Polynomials are closed under the operation of addition. Which statement best explains the meaning of closure of polynomials under the operation of addition?
When any two polynomials are added, the result is always a polynomial with positive coefficients.
When any two polynomials are added, the result is always a polynomial.
When any two polynomials are added, the coefficients of like terms are always added.
When any two polynomials are added, the result is always a monomial or a binomial.
What is a example of a composite figure in your home or community? How would you decompose it to find the area? Can you think of another reason that it would be helpful to decompose these figures in addition to making it easier to find the area? EXPLAIN.
A house is an example of a composite figure that can be decomposed into rectangles and triangles to find the area, which aids in calculating material requirements.
An example of a composite figure in a home or community could be a house, which often consists of several rectangles and triangles. To find the area of a house, you would decompose it into its simpler shapes, calculate the area of each shape, and then sum those areas. Aside from finding the area, decomposition is useful for estimating materials needed for construction or renovations, such as flooring, paint, or roofing. For instance, knowing the areas of separate walls can help determine how much paint is needed for each.
Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours
What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)?
Answer:
(0,-24)
hope this helps you!
(p.s please mark me as brainlyest)
Step-by-step explanation:
I just took the test and got 100%
Liam has 2 quarts of apple juice he wants to pour the juice into 1/5 quart servings how many servings can Liam pour
suma a doua numere e 48 daca pe primul il marim de 3 ori si pe al doilea de 9 ori obtinem numere egale. Afla numerele.
A point located at (6, -4) is reflected over the x-axis. What are the coordinates of the image?
(6, 4)
(-6, -4)
(-6, 4)
(-4, 6)
-6, 4 is the answer
Brian is ordering books online. He has $100 to spend on the books. Each book costs $7. The shipping charge for the entire order is $8. The number of books, b, that Brian can buy is represented by the inequality 7b + 8 < 100. How many books can Brian buy without overspending?
A. 13
B. 15
C. 18
D. 20
whats the answer ????
Answer:13
Step-by-step explanation:
Eight less than the product of two and a number X
What is the measure of XHY
A container at a deli has exactly 5 pounds of cheese slices. Each cheese slice weighs exactly 2 ounces. How many total cheese slices are in the container?
Tell multiple ways to write 65% as a fraction
Plz help to all the
answers
Which of the following is another way to represent 5 2/6?
A 6 8/6
B 5 6/8
C 4 12/6
D 4 8/6
(20 pts :D)
The answer would be D, because 4 8/6 is equal to 5 2/6.
Hope this helps ;}
Final answer:
The mixed number 5 2/6 simplified is 5 1/3 and when represented as an improper fraction it is 16/3. Upon reviewing the given options, only D) 4 8/6 is equivalent to 5 2/6 or 5 1/3.
Explanation:
To represent the mixed number 5 2/6 in another form, first simplify it by reducing the fraction to its lowest terms. The fraction 2/6 can be simplified to 1/3 because the numerator and denominator share a common factor of 2. So the number becomes 5 1/3. Now, to find an equivalent representation from the given options, you can convert it to an improper fraction: (5 × 3) + 1 = 15 + 1 = 16, so the equivalent improper fraction is 16/3. Looking at the choices provided, none match 5 1/3 exactly, but we can look at them to determine if any are equivalent:
A) 6 8/6 is equivalent to 6 + 8/6 = 6 + 1 + 2/6 = 7 2/6, which is not equivalent to 5 1/3.B) 5 6/8 can be simplified to 5 + 3/4, which also is not equivalent to 5 1/3.C) 4 12/6 is equivalent to 4 + 12/6 = 4 + 2 = 6, which is not equivalent to 5 1/3.D) 4 8/6 is equivalent to 4 + 8/6 = 4 + 1 + 2/6 = 5 2/6, which is equivalent to 5 1/3.Therefore, the correct answer is D) 4 8/6 as it is another way to represent 5 2/6.
Julian walked a distance of 2 meters. Keira walked a distance of 300 centimeters. Which distance is longer?
Debby was packing up some of her old stuff into a box a box can hold 9 pounds but she only filled it up 8/10 full how much weight was in the box
find two consecutive positive odd integers such that the square of the smallest integer, added to 3 times the median integer, is 24
Final answer:
The two consecutive positive odd integers that satisfy the given condition, where the square of the smaller plus three times the median equals 24, are 3 and 5.
Explanation:
The question asks to find two consecutive positive odd integers such that the square of the smallest integer, added to 3 times the median integer, is 24. Let's denote the smallest of these integers as n. Since they are consecutive odd integers, the next integer would be n+2. The equation based on the given condition would be n² + 3(n + 2) = 24.
Expanding and solving the equation gives:
n² + 3n + 6 = 24
n² + 3n - 18 = 0
(n+6)(n-3) = 0
Solving for n, we find n = 3 (since we are looking for positive integers and n+6=0 leads to a negative value).
Thus, the two consecutive positive odd integers are 3 and 5, meeting the given conditions.
The purchase price of an iPad is 650 what is the total price if the sales tax rate is 8%
if x > 2, then (x²-x-6)/(x²-4) = ?
please don't just answer, explain HOW to solve
HHEELLPPL PLLEAASEE !!!! I GIVE BRAINLIEST!!!
what is the exact value of x
Monica earned $18.50, $23.00, and $15.00 mowing lawns for 3 consecutive weeks She wanted to earn an average of at least $18 per week. What is the minimum she should earn during the 4th week to meet her goal?
A farmer in china discovers a mammal hide that contains 54% of its original amount of c-14. Find the age of the mammal hide to the nearest year
Final answer:
The age of the mammal hide can be determined by using carbon-14 dating. By comparing the remaining amount of carbon-14 to the initial amount and knowing the half-life of carbon-14, the age of the hide can be calculated. In this case, the hide is approximately 778 years old.
Explanation:
The age of the mammal hide can be determined using carbon-14 dating. Carbon-14 (or C-14) is an isotope that is present in all living organisms. When an organism dies, the amount of C-14 in its remains begins to decay.
Based on the information provided, the mammal hide contains 54% of its original amount of C-14. Knowing that the half-life of C-14 is 5,730 years, we can calculate the age of the hide.
To do this, we can set up the following equation: Remaining amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)
Since the hide contains 54% of its original amount of C-14, the remaining amount is 0.54 times the initial amount.
By substituting the known values into the equation, we can solve for the number of half-lives:
0.54 × Initial amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)
Dividing both sides of the equation by the initial amount of C-14 and taking the logarithm of both sides, we can find the number of half-lives:
ln(0.54) = number of half-lives × ln(0.5)
Using a logarithmic calculator, we find that the number of half-lives is approximately 0.136.
Since each half-life spans 5,730 years, we can calculate the age of the hide:
Age of hide = Number of half-lives × Half-life duration
Age of hide = 0.136 × 5,730 years
Therefore, the age of the mammal hide is approximately 778 years.
Answer: 5621
Step-by-step explanation:
i did it