Step-by-step explanation:
if this figure is rectangle then opposite side of rectangle are equal
perimeter= sum of all sides
156=5x-3+5x-3+4x+4x
156=18x-6
x=9
So length of side WX is 9. 4
WX= 36
Find the height, x, of the tree.
40°
62 ft
a) 52.02 it
b) 75.23 it
c) 21.27 it
d) 73.89 ft
Answer:
52.02 ft
Step-by-step explanation:
We can use equation tan θ = opposite/adjacent to solve for the opposite side x.
tan40° = x / 62
62tan40° = x
x = 52.02 ft
The solution is Option A.
The height of the tree is given by x = 52.02 ft
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Let the height of the triangle ABC be = x
Now , the base of the triangle ABC is BC = 62 feet
The angle of elevation is θ = 40°
Now , the height of the tree is the height of the triangle ABC and is given by the trigonometric relation ,
tan θ = opposite / adjacent
Substituting the values in the equation , we get
tan θ = x / 62
tan 40° = x / 62
Multiply by 62 on both sides of the equation , we get
x = tan 40° × 62
x = 0.83909963117 × 62
The value of x = 52.024 feet
Therefore , the value of x is 52.02 feet
Hence , The height of the tree is given by x = 52.02 ft
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The hospital sells raffle tickets to raise funds for new medical equipment. Last year, 2000 tickets sold for $24 each. The fund-raising coordinator estimates that for every $1 decrease in price, 125 more tickets will be sold. a) What decrease in price will maximize the revenue? b) What is the price of a ticket that will maximize the revenue? c) What is the maximum revenue? PLEASE SHOW WORK, Thank you!
Answer:
a. $4.00
b. $20.00
c. $ 5000
Step-by-step explanation:
a. The given information are;
The number of tickets sold = 2000
The price of tickets sold = $24
The number extra tickets sold per decrease in price = 125
Let the number of tickets sold = y
The price of each ticket = x
Therefore, given that the fund-raising coordinator estimates that the number of tickets sold vary proportionately with the price of the ticket, we have a linear relationship of the form;
y = mx + c
Where:
m = The slope which is change in y divided by change in x
Change in y = 125
Change in x = -1
m = 125/(-1) = -125
Where the change in y = y - 2000 and change in x = x - 24
we have for a linear straight line relation;
(y - 2000)/(x - 24) = m
Which gives
y - 2000 = -125(x - 24)
y - 2000 = -125·x + 3000
y = -125·x + 3000 + 2000 = -125·x + 5000
The revenue = Price × Quantity sold = x × y
Where y = -125·x + 5000, we have
Revenue = x×(-125·x + 5000) = -125·x² + 5000·x
The maximum revenue occur at the point where the slope of the revenue = 0, which is d(yx)/dx =d(-125·x² + 5000·x)/dx = -250·x +5000 = 0
x = -5000/(-250) = 20
Therefore, the price that gives maximum revenue = $20 which is a decrease of $24 - $20 = $4.00
b. The price that will maximize the revenue = $20
c. The quantity sold at maximum revenue = -125 × 20 + 5000 = 2500
The maximum revenue = 2500 × 20 = $5000.00
PLEASE HELP ME QUICKLY!!!!! Which ordered pair is a solution to the system of inequalities graphed here? Thanks (:
Answer:
B. (3,-1)
Step-by-step explanation:
Well we have to find the ordered pair that is in the blue.
So let’s look at all the choices.
A. (-4,2) this is on the point where both lines connect but it is not a solution.
B. (3,-1) this is in the blue so it is correct.
C. (-3,4) it is in the white so it is not correct.
D. (-2,-1) This is completely out of the blue so it it wrong.
So B. (3,-1) is the correct answer.
If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
PLSSS answer ASAPP plss which statement is true regarding the graphed functions ?
f(0) = 2 and g(-2) = 0
f(0) = 4 and 9(-2) - 4
f(2)= 0 and g(-2) = 0
f(-2) = 0 and g(-2) = 0
Answer:
f(2)= 0 and g(-2) = 0 is the answer
Step-by-step explanation:
if im seeing this correctly, this is the answer because the bottom end of g(x) is (-2,0) the real coordinates and the bottom end of f(x) the coordinates are (2,0). and the way im seeing this is g(x)=g(-2)=0 and the 0 would =y
f(x)=(2) and once again y=0
so the third option is the answer if im seeing this correctly.
f(2)=0 and g(-2)=0
simplify (5ab^2c)(-7ab^4c)
Answer:
-35a^2b^6c^2
Step-by-step explanation:
Multiply the numbers like normal and add the variables (a,b,c) exponents.
Answer:
[tex]-35a^2b^6c^2[/tex]
Step-by-step explanation:
Multiply 5 and -7 = -35
a^1 times a^1 = a^2 (add exponents)
b^2 times b^4 = b^6 (add exponents)
c times c =c^2 (add exponents)
Christine had a six sided dice numbered from 1 to 6. she rolled it a total of 50 times. it landed on a odd number 21 times. ( A ) work out the relative frequency of the dice landing on an odd number. give you answer as a decimal. ( B ) if the dice were fair what would the theoretical probability of it landing on a odd number be give your answer as a decimal. ( C ) is the dice definitely biased or is it impossible to tell write a sentence to explain your answer get brainly plz help
A) Relative frequency is number of times an event happened over total number of events:
Answer is 21/50 = 0.42
B) On a 6 sides die, there are 3 even numbers and 3 odd numbers, so the theoretical probability of landing on odd would be 3/6 = 0.50
C) Because the die has an equal amount of chance landing on even or odd, both are 3/6, then the dice is not biased.
Which statement is true
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain. No, because there is enough water in the cooler for about 3 cups total. No, because there is enough water in the cooler for about 59 cups total. Yes, because there is enough water in the cooler for about 81 cups total. Yes, because there is enough water in the cooler for about 2,261 cups total.
Answer:
The correct answer is Yes, because there is enough water in the cooler for about 81 cups total which is C.
Step-by-step explanation:
The water available, (approximately 81 cups) is more than the number of cups required (76 cups). Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a cylindrical cooler that has a radius of 6 inches and a height of 20 inches.
Here, volume of cylindrical cooler =πr²h
= 3.14×6²×20
= 3.14×36×20
= 2260.8 cubic inches
A cone has a dimensions diameter 4.4 inches and height 5.5 inches.
Here, volume of cup = 1/3 πr²h
= 1/3× 3.14×(4.4/2)²×5.5
= 28 cubic inches
So, number of cups = 2260.8/28
= 80.74
≈ 81
The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height of 20 inches. Players use conical paper cups, as shown below. A cone has a dimensions diameter 4.4 inches and height 5.5 inches.
If the water cooler is filled completely, can each of the 38 players have two full paper cups of water during practice? Explain 4.4 in.
A) No, because there is enough water in the cooler for about 3 cups total.
B) No, because there is enough water in the cooler for about 59 cups total 5.5 in.
C) Yes, because there is enough water in the cooler for about 81 cups total.
D) Yes, because there is enough water in the cooler for about 2,261 cups total.
Find the equation of the line through point (−7,2) and parallel to y=25x−12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
parallel line so gradient stays the same at 25x
y=25x+c
substitute in the point
-7= 25(2) +c
-7 = 50 + c
(-7)-50= -57
y=25x-57
hope this helps!
The equation of the line in slope intercept form is y = 25x + 177.
What is equation of a line?The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.
For the given situation,
The equation is y = 25x−12 -------- (1)
The point is (−7,2)
The general form of equation of line in slope intercept form is
[tex]y=mx+c[/tex]
On comparing this equation with equation, we get
slope, m = 25
The given line is parallel to the equation of line, so slope is same.
The line passes through the point (x1, y1) is (−7,2).
Thus the equation of line in slope intercept form is
[tex]y-y1=m(x-x1)[/tex]
⇒ [tex]y-2=25(x-(-7))[/tex]
⇒ [tex]y-2=25(x+7)[/tex]
⇒ [tex]y-2=25x+175[/tex]
⇒ [tex]y=25x+175+2[/tex]
⇒ [tex]y=25x+177[/tex]
Hence we can conclude that the equation of the line in slope intercept form is y = 25x + 177.
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please i really need help
Step-by-step explanation:
4×10×2=80
20×10×1=200
20×8×1=160
20×10×1=200
2×20×1=40
10×2×2=40
80+200+160+200+40+40=720
Simplify 3 : 18 the following in to the form 1 : n
Answer:
1 : 6
Step-by-step explanation:
3 : 18
3 ÷ 3 : 18 ÷ 3
1 : 18 ÷ 3
1 : 6
Answer:
n=6
Step-by-step explanation:
3:18
1:6
3/1=3
18/3=6
Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it take her to ride 6 miles? How fast did she ride in miles per hour?
Hey there! :)
Answer:
First part: 2 miles.
Second part: 45 minutes
Third part: 8 mph.
Step-by-step explanation:
We can divide this question into 3 parts.
Begin by solving for the distance traveled after 15 minutes by creating a ratio:
[tex]\frac{20 mi}{150min} = \frac{x}{15 min}[/tex]
Cross multiply:
20 · 15 = 150 · x
300 = 150x
300/150 = 150x/150
x = 2 miles.
2nd part: How long it took her to ride 6 miles.
Set up another ratio similar to the one used before:
[tex]\frac{20 mi}{150min} = \frac{6mi}{x min}[/tex]
Cross multiply:
20 · x = 6 · 150
20x = 900
20x/20 = 900/20
x = 45 minutes.
3rd part:
For this part, we will need to convert from minutes to hours.
[tex]\frac{20 mi}{150 min}* \frac{60 min}{1 hr} = \frac{1200mi}{150hr} = 8 mi/h[/tex]
Therefore, her speed is 8 mph.
Find the product.
-4x(x2+8)
PLEASE HELP!!! ASAP!!!
Answer:
[tex]-4x^3 - 32x[/tex]
Step-by-step explanation:
We can multiply -4x by both terms inside the parentheses.
[tex]-4x \cdot x^2 = -4x^3[/tex]
[tex]-4x \cdot 8 = -32x[/tex]
Hope this helped!
Answer:
-4x^3-32x
Step-by-step explanation:
-4x(x^2+8)=
-4x^3-32x
Having some problems with this
Answer: C) 5
Step-by-step explanation:
First let's distribute the left side of the equation.
2/3a - 9 1/3 = -3(a-3)
Then let's distribute the right side of the equation.
2/3a - 9 1/3 = -3a + 9
Then let's move all the a's to one side, and all the constants to the other.
3 2/3a = 18 1/3
Then divide both sides of the equation by 3 2/3.
a = 5
Hope it helps <3
Which table represents a function?
Answer:
The first table. (By that, I am referring to the table directly under the question)
Step-by-step explanation:
A function has only one y value for every x value. Thus, for example the coordinates (-5, -5) and (-5, 5) could not be a function.
20 POINTS!!! On the following graph F(-5)=?
Answer:
7
Step-by-step explanation:
If f(x) and it’s inverse function, f^-1(x), are, both plotted on the same coordinate plane, what is their point of intersection
Answer:
Step-by-step explanation:
Hello,
there is not always an intersection point
let's take the example of on the appropriate domain
[tex]f(x)=e^x \ \ \ f^{-1}(x)=ln(x)[/tex]
there is no intersection point
if there is one it means that the point (x,f(x)) and the point (x,[tex]f^{-1}(x)[/tex]) is the same so that have to solve
[tex]f(x)=f^{-1}(x)[/tex]
for instance if we take
[tex]f(x)=x^2 \ \ \ f^{-1}(x)=\sqrt{x} \ \ \ for \ x >= 0[/tex]
intersection point are for x >= 0
[tex]x^2=\sqrt{x} <=>x^4=x<=>x^3=1 \ or \ x=0<=> x = 1 \ or \ x=0[/tex]
hope this helps
Answer:
D
Step-by-step explanation:
HELP ME NOW PLEASEE A rectangular driveway has the dimensions shown below. Concrete costs $49.75 per square yard to pour. How much will it cost to pour concrete for the entire driveway?
Answer:
$2350.69
Step-by-step explanation:
Well first we need to find the amount of square yards and to do that we find the area.
So 15 3/4 * 3 is 47.25 yards^2.
And concrete is 49.75 per square yard so we do 49.75 * 47.25 = 2350.6875.
So it will cost about $2350.69 rounded to the nearest hundredth.
BRO THATS EXPENSIVE FOR CONCRETE.this is question is =5* 0.25
Hi
I am new here
Answer: 1.25
Step-by-step explanation: This symbol is multiplication (*) so Multiply 5 by 0.25 you will get 1.25
Hope it helps you
Answer:
Hello!
________________________
5 x 0.25 = 1 .25
Step-by-step explanation: Multiply 5 by 0.25 and you'll 1.25.
Hope this helped you!
:D
the number 144 is multiplied with 2^-3 , 12^-1 and 3^-2 consecutively . Find the final product pls quick :)
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{1}{6} \ \ \ }[/tex]
Step-by-step explanation:
Hello
when you multiply by [tex]2^{-3}[/tex]
it is equivalent to divide by [tex]2^3[/tex]
so we are looking for
[tex]144*2^{-3}*12^{-1}*3^{-2}=\dfrac{144}{2^3*12*3^2}=\dfrac{9*16}{2^3*12*3^2}\\=\dfrac{3^2*2^4}{2^3*12*3^2}=\dfrac{2}{12}=\dfrac{1}{6}[/tex]
hope this helps
do not hesitate if you have any question
)(3.5+2)(345-4)=
-
What is the answer to this question
Answer:
335.5. Is there not a symbol that goes in the middle of the two brackets?
Step-by-step explanation:
Answer:
Hello!
_____________________
(3.5+2)(345-4)= 1875.5
Step-by-step explanation: Simplify the expression.
Hope this helped you!
I've got no clue how to do this.
Answer:
×-10×+21=0
FACTORIZATION of splitting the middle term
In this system of equations, which variable would it be easiest to solve for? x + 3 y = 13. 3 x + 2 y = 25. The easiest to solve for is x in the first equation. The easiest to solve for is y in the first equation. The easiest to solve for is x in the second equation. The easiest to solve for is y in the second equation.
Answer:
its x in the first equation! (a)
Step-by-step explanation:
I just took the test. I used the other answer but it was wrong :( BUT you can trust me :)
Answer:
A: The easiest to solve for is x in the first equation.
Step-by-step explanation:
The X in the first equation is the only one without a coefficient.
the theoretical probability that a man will have some form of color blindness is 8%,whereas the theoretical probability of a woman having color blindness is 0.5%.if you have a group of 600 women, predict how many of them will be color blind.
Answer:
If you have a group of 700 men, 56 will be color blind
Step-by-step explanation:
The theoretical probability that a man will have some form of color blindness is 8%.
Number of men in group = 700
Number of men with color blindness in a group of 700 men
If you have a group of 700 men, 56 will be color blind
Croscheck 8% of 700 is 56
Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2
Answer:
Geometric Sequence
Step-by-step explanation:
Since we are multiplying each successive term by common ratio r of -2, we have our sequence:
[tex]a_n = 2.4(2)^{n-1}[/tex]
Answer:
They're multiplied by -2.
Step-by-step explanation:
If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.
In order to find out how much each value was multiplied, we need to divide.
-4.8 / 2.4 = -48 / 24 = -2
9.6 / -4.8 = 96 / -48 = -2
-19.2 / 9.6 = -192 / 96 = -2
All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.
Hope this helps!
solve this -3x − 7(x + 4)
Answer:
Hey there!
First, do you mean simplify? I can't solve an equation if there isn't a equal sign. If you want me to solve this, check if you have properly typed your question- Thanks!
Here is how you should simplify:
Given expression.
-3x-7(x+4)
Distributive property.
-3x-7x-28
Combine Like Terms
-10x-28
Your final answer should be -10x-28
Hope this helps :)
━━━━━━━☆☆━━━━━━━
▹ Answer
-10x - 28
▹ Step-by-Step Explanation
-3x - 7(x + 4)
-3x - 7x - 28
-10x - 28
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Timmy has 13 dollars in his bank account he withdrew m amount of dollars. He is now 100 dallors in debt. How much
money did Timmy withdrew?
Answer:
$113
Step-by-step explanation:
Since he had $13 and now he is $100 in debt:
First, he withdrew $13 to get $0 in his bank account.
He then withdrew $100 to get -$100 in his bank account.
13 + 100 = 113
Answer:
Timmy withdrew $113
Step-by-step explanation:
The following equation represents that situation:
$13 - m = -$100
Adding m to both sides, we get:
$13 = m - $100
Combining like thers, we get m = $113
Timmy withdrew $113
please help me solve
Answer:
cD /100
Step-by-step explanation:
Change the percent to a fraction
c% = c/100
Multiply by the sale
D * c/100
cD /100
I DON'T KNOW THIS ONE! SOMEONE PLEASE HELP!!!!!!!!!!
Answer:
$3.10.
Step-by-step explanation:
You get the expected value by multiplying the payout by the probability, then adding them all up.
So...
(0 * 0.45) + (4 * 0.3) + (6 * 0.1) + (8 * 0.1) + (10 * 0.05) = 0 + 1.2 + 0.6 + 0.8 + 0.5 = 1.8 + 1.3 = 3.1
So, the expected value of the winnings from a game with the payout probability distribution is $3.10.
Hope this helps!