The height of the kite above the ground is 36.8 ft
Let x be the height of the kite above Mamadou's hand.
Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that
sin27° = x/75
Making x subject of the formula, we have
x = 75sin27
x = 75 × 0.4540
x = 34.05 ft
Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y
Substituting the values of the variables into the equation, we have
h = x + y
= 34.05 ft + 2.75 ft
= 36.8 ft
The height of the kite above the ground is 36.8 ft
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17. A store is advertising the following sale:
[Tomato Soup-- 4cans for $0.98]
To the nearest cent, how much would five cans of tomato soup cost? (show work to prove answer)
(A)- $0.25
(B)- $1.23
(C)- $2.45
(D)- $4.90
Answer:
Step-by-step explanation:
Answer:
(B)
Step-by-step explanation:
4 cans - $0.98
1. $0.98/4 = $0.245 will cost 1 can
2. $0.245 × 5 = $1.225 will cost 5 cans
so $1.225 = $1.23
so the answer is B
rewrite in simplest form
0.7k-5(-7k-4)
Answer:
Step-by-step explanation:
357k + 200
——————————
10
Pls help asap, whoever answers gets brainliest, 5 stars, and a thanks!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
Done
Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom
Answer:
1264
Step-by-step explanation:
is the answer...........
Expand & simplify
(4x + 7)(x – 5)
Answer:
(4^3−13−35)
Step-by-step explanation:
this ans
5x+2y<8 graph the inequality
I NEED THE ANSSWER ASAP!!
Which situation would best be represented by positive 32?
X+y=2 x-y=4 solve using elimination
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.
if 3/ 4 part of the total number of students in a class are girls how much percent are boys
Answer:
1
Step-by-step explanation: because 3 are girls and 3 + 1 equals 4 its 1
Answer:
1/4 or 25% are boys
Step-by-step explanation:
3/4 + 1/4 = 4/4
75% + 25% = 100%
The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of the objective function P if P = 180x 250y?.
The maximum value of the objective function is 3080
The vertices of a feasible region are given as
(14, 2), (0, 9), (6, 8), (10, 3)
The objective function is given as:
[tex]\mathbf{P = 180x + 250y}[/tex]
Substitute the ordered pairs in the objective function
Point (14,2)
[tex]\mathbf{P = 180 \times 14 + 250 \times 2}[/tex]
[tex]\mathbf{P = 3020}[/tex]
Point (0,9)
[tex]\mathbf{P = 180 \times 0 + 250 \times 9}[/tex]
[tex]\mathbf{P = 2250}[/tex]
Point (6,8)
[tex]\mathbf{P = 180 \times 6 + 250 \times 8}[/tex]
[tex]\mathbf{P = 3080}[/tex]
Lastly, we have point (10,3)
[tex]\mathbf{P = 180 \times 10 + 250 \times 3}[/tex]
[tex]\mathbf{P = 2550}[/tex]
The maximum value of P is calculated to be 3080.
Hence, the maximum value of the objective function is 3080
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Answer:
3080 is the answer ^
Step-by-step explanation:
please help me with this math question
Answer:
Step-by-step explanation:
Add 633 to the reading before the trip.
New reading in the odometer = 14,917 + 633 = 15,550 miles
Someone please solve and explain part a(i)
Step-by-step explanation:
the way I understand the description :
C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.
then, at B there is an antenna or other firm of mast going straight up.
therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).
but because it goes downhill from B to C the angle is 105 degree.
(a)(i)
now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?
this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.
what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.
(a)(ii)
the extended Pythagoras for not right-angled triangles :
c² = a² + b² - 2ab×cos(B)
B being the angle opposite of the Hypotenuse c.
so, we have
c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =
= 325 - 300×cos(105) = 402.6457135...
c = 20.06603383... ≈ 20 m
Please help. ( WILL MARK BRAINLIEST)
Answer:
499.2 cm^2
Step-by-step explanation:
((12*10.4)/2)*8=6*10.4*8=499.2
Formulas Used:
Area of triangle - 1/2bh
When 3(2x + 9) = 4x - 7 is solved for X, the solution is
1
3.
is 17
4
xs-17
[tex]\\ \sf\longmapsto 3(2x+9)=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x+27=4x-7[/tex]
[tex]\\ \sf\longmapsto 6x-4x=-7-27[/tex]
[tex]\\ \sf\longmapsto 2x=-34[/tex]
[tex]\\ \sf\longmapsto x=17[/tex]
expand and simplify 3(x+3) - 2(x+2)
Step-by-step explanation:
3(x+3) - 2(x+2) =
3x + 9 - 2x - 4 =
x + 5
always remember the rules when combining signs and operations (therefore it is -4 at the end after doing the multiplications) :
++ = +
+- = -
-+ = -
-- = +
what is the square root of25. To guys who steal my points
Thank You In Advance For Whoever Answers
Answer:
97.6 in^3
Step-by-step explanation:
find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.
cylinder: pi*2^2*8=100.531
cone: 1/3*pi*2^2*0.7=2.932
cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6
How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
what is a 8096 rounded to 1 significant figure
Answer:
Y Me Angry U Hungry Me And Me Angry Way Back together Me Y He Angry Me He Angry Me Angry:(
PLS HELPP me asap no bots
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
Please help!
Find the difference quotient (f(x + h) - f(x))/h where h ne0 , for the function below . f(x) = 2x ^ 2 - 9 Simplify your answer as much as possible .
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
In this exercise we must apply the definition of derivative, which is described below:
[tex]f'(x) = \lim_{x \to 0} a_n \frac{f(x+h)-f(x)}{h}[/tex] (1)
If we know that [tex]f(x) = 2\cdot x^{2}-9[/tex], then the derivative of the expression is:
[tex]f'(x) = \lim_{h \to 0} \frac{2\cdot (x+h)^{2}-9-2\cdot x^{2}+9}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} \frac{x^{2}+2\cdot h\cdot x + h^{2}-2\cdot x^{2}}{h}[/tex]
[tex]f'(x) = 2\cdot \lim_{h \to 0} 2\cdot x + h[/tex]
[tex]f'(x) = 4\cdot x[/tex]
The derivative of [tex]f(x) = 2\cdot x^{2}-9[/tex] is [tex]f'(x) = 4\cdot x[/tex].
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Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750. How many weeks will Millie's balance remain above $750?
Millie's account balance will remain above $750 area weeks.
Fewer than 9
At least 9
Greater than 9
Answer:
Step-by-step explanation:
AT LEAST 9
Millie's account will be above $750 for weeks greater than 9.
What is inequalities?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Millie has a bank account balance of $1,497. Each week, her balance changes by - $83. She wants to keep the balance above $750.
Establishing an inequality,
750 > 1497 - 83x
Where, x is the number of weeks.
On solving, we get,
747 > 83x
x < 9
Hence, Millie's account will be above $750 for weeks greater than 9.
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[tex]\sf 78-2x=87-3x[/tex]
Answer:
x = 9
Step-by-step explanation:
78 - 2x = 87 - 3x
3x - 2x = 87 - 78
x = 9
x = 9
Step-by-step explanation:
=> 78-2x= 87 -3x
=> 78-87=-3x+2x
=> -9 = -x
=> x = 9
Each train car holds 71 passengers. About how many train cars
would be needed to carry 567 people?
567/71 because passengers/(train cars/passengers) = train cars
71 x 7 = 497 (not enough)
71 x 8 = 568 (enough)
Answer: 8 train cars
Barbara plotted an elevation below sea level on a number line and labeled it A. She plotted Point B above 0, a distance that is exactly as far from 0 as Point A is. Explain what you know about Point B.
Answer:
B is twice as far away from point A as it is from point 0
I hope this helps.
NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!
Answer:
a - 6%
b - $7.50
Step-by-step explanation:
The answer for a
the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%
The answer for b
Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50
Graph the equation on the coordinate plane using the slope and y-intercept.
y=−2x
Answer:
Step-by-step explanation:
What is the midpoint of the segment shown below?
10
O A. (6.3)
(2,3)
(10,3)
B. (6,3)
- 10
10
C. (5,3)
-10
D. (533)
SUE
Answer:
b. (6,3)
Step-by-step explanation:
10+2=12
12/2=6
The line is always on 3, so that will be the y coordinate!
The midpoint of the line segment are (6, 3). Therefore, option B is the correct answer.
What is the midpoint of a line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.
The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]
From the graph, the coordinate points of ends of line segment are (2, 3) and (10,3).
Here, midpoint = [(2+10)/2, (3+3)/2]
= (6, 3)
Therefore, option B is the correct answer.
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(Please please, actually type the answer and dont send it in a file because it wont work)
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?
Answer: like 36 i think
Step-by-step explanation:
Answer:
14168
Step-by-step explanation: just multiple
3) Which table shows y as DIRECTLY PROPORTIONAL to x?
Α)Α
B) B.
C C
D) D
Answer:
I think the answer will be A