Explanation is in the file
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A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
In a particular library, 18% of the books are children's books, 53% of the books are adult fiction, and the rest are adult nonfiction. You select 3 books at random; what is the probability That none of them are children's books?
Answer:
3321 / 12500
Step-by-step explanation:
P (not child, not child, not child) = 82/100 × 81/100 × 80/100
Find the missing value(s) in this ratio table. Pens: 3 6 ? Pencils: 4 ? 12
Pen is 3 x 2 = 6
Pencils s 4 x 3 = 12
Please help
For 20 points
Answer:
Step-by-step explanation:
Vertex: ( -2, -25)
Axis of symmetry: -2
How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest
Answer:
T=2 years.hope it will help u.
lll give points and brainalist for correct answer / explanation
Answer:
D
Step-by-step explanation:
A. false; the diameter of a circle is double the radius
B. false; the diameter of a circle is double the radius
C. false; the diameter of a circle is double the radius
D. true! The diameter is double the radius
Suppose that you have a bowl of 500 m&m candies, and each day you eat 1/4 of the candies you have. Is the number of candies left changing linearly or exponentially? Write an equation to model the number of candies left after n days.
Answer:
[tex]500(.75)^{n}[/tex]
Step-by-step explanation:
It is changing exponentially because if you are eating a fraction of the left over m & m's, that is a different amount each time so it can't be linear.
500(1-(1/4))^n
[tex]500(.75)^{n}[/tex]
Initial quantity of the candies = 500
If we eat [tex]\frac{1}{4}[/tex] candies each day, number of candies after one day
= 500 - [tex]\frac{1}{4}\times 500[/tex]
= 500 - 125
= 375
Number of candies after two days
= 375 - [tex]\frac{1}{4}\times (375)[/tex]
= 281.25
Therefore, sequence formed will be.
500, 375, 281.25.......n days
Ratio of 2nd and 1st term = [tex]\frac{375}{500}[/tex] = 0.75
Ratio of 3rd and 2nd term = [tex]\frac{281.75}{375}[/tex] = 0.75
Therefore, there is a common ratio of 0.75 in each successive and previous term.
And the sequence will be a geometric sequence.
Expression for the exponential decay is,
[tex]A=A_0(1-r)^n[/tex]
Here, A = Final amount
[tex]A_0=[/tex] Initial amount
r = percentage decrease
n = duration
From the given question,
[tex]A_0=500[/tex]
r = [tex]\frac{1}{4}=\frac{25}{100}[/tex]
Therefore, equation for the decrease in number of candies will be.
[tex]A=500(1-0.25)^n[/tex]
[tex]A=500(0.75)^n[/tex]
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Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest website as a product, Crest wants to divide the research population into heterogeneous groups based on age and gender and then draw a random sample from each of the different groups. Based on this information, what type of sampling method would Crest use to conduct this survey
Answer:
Stratified sampling
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.
Remember to do the opposite operation of what you see in the equation.
4x=16
x=16/4=4 is the answer if u need any explanation please comment
hope it helps
Answer:
x=4
Step-by-step explanation:
4x = 16
Divide each side by 4:
x=4
Pls help it’s about angles
help please
find the surface area of the following prism
Answer: 163
Step-by-step explanation:
I will send a pic to you
Answer:
agreed
Step-by-step explanation:
agreed...............................
ABCDEFGHIJKLMNOPQRSTUVWXYZ
I need help quick just the first one
Answer:9& 5
Step-by-step explanation:
Can anyone help me I would really appreciate it.
Answer:
7c + 4 = 8
7c = 8 -4
7c = 4
c=4/7
buna seara ce faceti eu sunt un om
Answer:
5
Step-by-step explanation:
Answer:
Sunt și bărbat, ești foarte înfiorător
Step-by-step explanation:
The difference between three times a number and 5 is 10.
Answer:
Equation: 3x-5=10
Answer: X=5
Step-by-step explanation:
3 times a number (represented as X) and 5 (means subtract by 5)
3x-5=10
Add 5 on both sides
3x=15
X=5
Answer:
3(5) - 5 = 10
15 - 5 = 10
10 = 10 x = 5
Step-by-step explanation:
Three times a number is 3x because you do not know the number.
Add five to both sides of the equation.
Divide both sides of the equation by 3 and the solution is x = 5
Pleas help I will give brainliest also please show how you did it please
Answer:
for n ≤ 3
we are going to put a circle on the 3 and make it filled in then you are going to start an arrow starting from the 3 going to the left all the way to the -10.
Answer:
n ≥ -1 or n ≤ 3
Combined:
-1 ≤ n ≤ 3
Since the inequalities are ≤, it'll be a closed circle
The closed circle will start AT -1 and another closed circle will end at 3
20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?
Answer:
4 times
Explanation:
tc = 15×π = 47.12.. in
bc = 2×30×π = 188.49.. in
bc = 188.5/47.12 = 4 times
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
197 in²
Step-by-step explanation:
TOP 5x5=25
BOTTOM 9x5=45
BACK 5x5=25
SLOPED FRONT 6.4x5=32
TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70
25+45+25+32+70=197
nine times the difference between 4 and a number is24.what is the number.
Answer:
9×24-4
216-4
212
Step-by-step explanation:
I am not sure, but it might help you
Answer:
n = [tex]\frac{4}{3}[/tex]
or (because the wording is kind of confusing)
n = [tex]\frac{20}{3}[/tex]
Step-by-step explanation:
9(4 - n) = 24
36 - 9n = 24
-9n = -12
n = [tex]\frac{4}{3}[/tex]
or (because the wording is kind of confusing)
9(n - 4) = 24
9n - 36 = 24
9n = 60
n = [tex]\frac{20}{3}[/tex]
Which is a feature of function g if g(x) = -f(x-4)
A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4
Answer:
B
Step-by-step explanation:
Plato
The x- intercept of g(x) is at (5,0), the correct option is B.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function is g(x) = -f(x-4)
The x intercept is when y =0
The function in the graph f is 0 at x =1
g(x) = -f( 5-4) = -f(1) = 0
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it is acceptable to divide by zero true or false
Answer:
flase.,......,........
Answer:
true
Step-by-step explanation:
so like for example you say 0÷50
your answer will remain 0
Use the quadratic formula to find the solution to the quadratic equation given below. x^2-3x+9/4 =0
Answer:
[tex] x = \dfrac{3}{2} [/tex]
Step-by-step explanation:
x^2-3x+9/4 =0
Multiply both sides by 4 to get rid of the fraction.
4x^2 - 12x + 9 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(4)(9)}}{2(4)} [/tex]
[tex] x = \dfrac{12 \pm \sqrt{144 - 144}}{8} [/tex]
[tex] x = \dfrac{12}{8} [/tex]
[tex] x = \dfrac{3}{2} [/tex]
Please tell me how and work!!!
Answer:
2) false, no
3) true, yes
4) false, no
5) true, yes
Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)
A school band performed a concert on four different days. The band sold tickets and snacks each day of the concert for a fundraiser. The first table shows the numbers of tickets sold and the amounts of money collected from ticket sales. The second table shows the numbers of snacks sold and the amounts of money collected from snack sales. If each snack costs the same price, what is the price per snack?
Answer:
$1.25
Step-by-step explanation:
There is a lot of unnecessary extra information we can ignore here. Simply divide the amount collected on any given day by the number of snacks sold.
53.75 / 43 = $1.25
Double check via another day:
45 / 36 = $1.25 ~ yup!
The price per snack is $1.25.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the table,
We see that,
43 snacks = $53.75
This means,
1 snack = 53.75/43 = 1.25
Similarly,
36 snacks = 45
1 snack = 45/36 = 1.25
Thus,
The price per snack is $1.25.
Learn more about expressions here:
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Find the surface area of a basketball with a diameter of 10 in.
400π in²
10π in²
100π in²
25π in²
Answer:
100 pie
Step-by-step explanation:
Find the surface area of a basketball with a diameter of 10 in.
100π in²
10π in²
400π in²
25π in²
The surface area of the basketball is 100π square inches.
The correct option is C.
What is the surface area of a sphere?The area of the outer surface of a sphere is the surface area of a sphere.
And its formula:
The surface area of the sphere is 4πr².
Where r is the radius of the sphere.
Given:
The shape of the basketball is spherical.
The diameter of the basketball is 10 inches.
So, the radius of the basketball = 10/2 = 5 inches.
The surface area of the basketball,
= the surface area of the sphere.
= 4πr²
= 4π(5)²
= 2π25
= 4 x 25π
= 100π square inches.
Therefore, the surface area is 100π square inches.
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Which statement does not describe the graph of f(x) = -3
3 (*)*-+2?
A As x→ 00, f(x) +0.
B As x→-0, f(x) →-0.
© The y-intercept is (0, -13).
D The asymptote is y = 2
Can please someone help me out and explain it step by step. Thank you
Answer:[tex]x=7, \ y=-2[/tex]
Step-by-step explanation:
Given
Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]
take [tex]3x-y=23[/tex]
[tex]y=3x-23[/tex]
Put the value of y in another equation
[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]
Put the value of x in y
[tex]y=3(7)-23=21-23=-2[/tex]
Hence, [tex]x=7, \ y=-2[/tex]
need help with this ‼️