A tree is standing next to a 40-foot high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow. how tall is the tree, rounded to the nearest foot?
The height of the tree will be 45 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A tree is standing next to a 40-foot-high building. the tree has an 18-foot shadow, while the building has a 16-foot shadow.
Let x be the height of a tree. Then we have
x / 18 = 40 / 16
x = 45 feet
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what is the difference between 506 and 233
The united states exports over 200 billion pounds of coal how many tons does the united states export
Answer:100,000,000 tons
word form: one hundred million tons
Step-by-step explanation:
6% of 124 =
7.44
0.744
74.4
744
If you could explain would be great
Given triangle JKL, sin 38 degree equals
Answer:
B. [tex]\text{cos}(52^{\circ})[/tex].
Step-by-step explanation:
We have been given a right triangle. We are asked to complete our given statement.
[tex]\text{sin}(38^{\circ})[/tex] equals ___.
We will use identity [tex]\text{sin}(x)=\text{cos}(90-x)[/tex] to solve our given problem.
[tex]\text{sin}(38^{\circ})=\text{cos}(90^{\circ}-38^{\circ})[/tex]
[tex]\text{sin}(38^{\circ})=\text{cos}(52^{\circ})[/tex]
Therefore, [tex]\text{sin}(38^{\circ})[/tex] equals [tex]\text{cos}(52^{\circ})[/tex].
Study the Proof Given.
List the reasons for Items 2,3, & 4.
Right the number and then the answer.
Question 1 options:
How to know whether to use sin or cos in physics?
The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of θ? plz show me how u got the answer
The values of sine, cosine, and tangent for angle θ, where (1, -1) is on its terminal side, are sin(θ) = -1, cos(θ) = 1, and tan(θ) = -1, knowing that the point lies in the fourth quadrant.
To find the values of the sine, cosine, and tangent of an angle θ where the point (1, -1) is on its terminal side, we first recognize that this point lies in the fourth quadrant of the coordinate system. In this quadrant, cosine is positive, and sine and tangent are negative.
The point (1, -1) gives us the x and y coordinates on the Cartesian plane, which correspond to the lengths of the adjacent side and the opposite side of the right-angle triangle formed by the radius (hypotenuse) from the origin to the point, and the axes. Assuming we're dealing with a unit circle (which has a radius of 1), we can directly use the coordinates (1, -1) to find the cosine and sine:
cos(θ) = x = 1sin(θ) = y = -1tangent (θ) = y/x = -1/1 = -1Hence, for angle θ, cos(θ) is 1, sin(θ) is -1, and tan(θ) is -1.
Solve:
r/5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
r/5 - 6 = -1
add 6 to both sides
r/5 = 5
multiply both sides by 5
r = 5 *5 = 25
r = 25
Maryam earns a salary of $35,000 a year. Her benefits are equal in value to 35 percent of her salary. What is the value of Mayam's benefits?
As per linear equation, the value of Mayam's benefits is $12250.
What is a linear equation?A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.
Given, Maryam earns a salary of $35,000 a year.
Her benefits are equal in value to 35 percent of her salary.
Therefore, the value of Mayam's benefits is
[tex]=[/tex] $[tex]\frac{(35000)(35)}{100}[/tex]
[tex]=[/tex] $12250
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3xy=27 linear or not
The given function 3xy = 27 is not a linear function.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
What is a linear function?A linear function is defined as when the function has the highest degree of expression is 1, such as y = mx + c.
here,
Given function,
3xy = 27,
Simplifying the function,
3xy = 27
xy = 27/3
y = 9/x
Since, from the definition of the function, the given function is 9 reciprocal of x and is said to be a reciprocal function.
Thus, the given function 3xy = 27 is not a linear function.
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Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x. Find the sum of 4x3 + 2x2 - 4x + 3 and 7x3 -4x2 + 7x + 8.
Answer:
11x^3 - 2x^2 + 3x + 11
Step-by-step explanation:
we need to find the sum of 4x^3 + 2x^2 - 4x + 3 and 7x^3 -4x^2 + 7x + 8
To find the sum we add both the polynomials
4x^3 + 2x^2 - 4x + 3 + 7x^3 -4x^2 + 7x + 8
To add the polynomials we combine like terms
4x^3 + 7x^3 = 11x^3
2x^2 - 4x^2 = -2x^2
-4x+7x= 3x
3+8 = 11
So final expression is 11x^3 -2x^2 +3x+11
HELP ASAP!!!
Is the line through points P(-3, -2) and Q(2, 3) perpendicular to the line through points R(10, -1) and S(15, -6)? Explain.
a. No, their slopes are not opposite reciprocals.
b. No; their slopes are not equal.
c. Yes; their slopes have product -1.
d. Yes; their slopes are equal.
Write the expression in complete factored form. q^2(u-9)+c (u-9)
Is this table represents function or not?
Answer: Yes
Step-by-step explanation: This table does represent a function. A function is where each input has exactly one output. Since none of the x-values repeat, this would represent a function.
I need help solving this problem
(-7/10+0.15) ÷ (-0.125)
The sum of the number x and 13 is 62
A sample of n = 9 scores has a variance of s2 = 144. what is the standard deviation for this sample?
The relationship between variance and standard deviation is simply:
s = standard deviation
s^2 = variance
s = sqrt (s^2)
Therefore calculating for s:
s = sqrt (144)
s = 12
So we get the standard deviation is simply 12 scores.
9. Simplify the expression. 8 – 5(12x + 8) A) 36x + 24 B) –60x – 32 C) –60x + 16 D) –60x + 48
A 20 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach? Round to the nearest tenth.
Please explain this math question to me!
6(4) ÷ 2 − 1 + 5
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3
when m = 5:
2k = 5+3
2k = 8
k = 8/2
k=4
when m = 7
2k = 7+3
2k =10
k = 10/2
k = 5
when m = 9
2k = 9+3
2k = 12
k = 12/2
k = 6
k = {4,5,6}
Find the value of x for the rectangle
perimeter=26 meters
rectangle one the bottom is (x+3) m
on the right side of the rectangle (2x-6)m
Find all points on the curve x^2-y^2=1 passes through
five times the sum of a number and 27 is greater than or equal to six times the sum of the number and 26 what is the solution to set of the problem
Payton created a presentation for his parents showing how his grades have improved over the past six months. what is an alternative data display that would better convey the information?
I believe that aside from the bar graph, the line graph would actually best suits to convey this information. Because just like the bar graph, we can actually see the peaks of the grades. And through the peaks, we can easily compare the grades one by one.
Answer:
line graph
Solve for x.
14+x>18
Enter your answer, as an inequality, in the box.
Each of the 25 students in Mr. McDonald's class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald's students raise?
John concludes that, since (x - 5) is a factor of the polynomial x2 - 25, if he performed the long division (x2 - 25) ÷ (x - 5), the remainder would be zero. This is an example of ___________ reasoning(x2 - 25)
Answer:
Deductive reasoning
Step-by-step explanation:
Given : John concludes that, since (x-5) is a factor of the polynomial [tex]x^2-25[/tex], if he performed the long division [tex](x^2-25)\div (x-5)[/tex], the remainder would be zero.
To find : This is an example of ___________ reasoning [tex]x^2-25[/tex]?
Solution :
The above situation make conclusion when we know the fact that (x-5)
is the factor as the factor of polynomial divide it completely.
Therefore, This is the example of deductive reasoning.
Deductive reasoning is the process by which a person makes conclusions based on previously known facts.