Answer:
√1780, or around 42.19005
Step-by-step explanation: pythagorean theorem: a^2+b^2=c^2
3sin60°+xcos30°.tan45°=xcot30°
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
What is the coefficient of 8 term in the expansion of 2( + 1)10?
Answer:
180
Step-by-step explanation:
2(8+1)10
add the number in parenthesis
2(9)10
18x10
180
A pilot is traveling at a height of 30,000 feet above level ground. She looks down at
an angle of depression of 6° and spots the runway. As measured along the ground, how
many miles away is she from the runway? Round to the nearest tenth of a mile.
Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression then she is 540.6 miles away from the runway.
What is meant by angle of depression?A depression angle is formed when the viewer is higher than the object they are looking at. When a viewer looks at an object at a closer distance than themselves, an angle is formed under the horizontal line drawn at the viewer's eye level and the line connecting the object to the viewer's eye.
Elevation angle is the angle formed when a person stands on the ground and looks at an object above the ground at a height above the person's height. This is the basic difference between the two angles. Both angles are calculated using trigonometry concepts.
The angle of depression is defined as the angle formed by the horizon and the line connecting the object to the viewer's eye. This angle depends on two factors: altitude and distance.
Given: A pilot is flying 30,000 feet above the surface of the earth. She notices the runway when she looks down at a 6° depression.
The angle of depression = angle of elevation = 6°
Let x be the distance to the runway.
tan 6 = 30000/x
simplifying the above equation, we get
x tan 6 = 30000
x = 30000/tan 6 = 285430.9 ft
285430.9336/5280 = 540.6 mi
She is 540.6 mi away from the runway.
To learn more about angle of depression, refer to:
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i don’t understand.
online school is hard
helppppppppppppppppp
substitution method
a=-b+5
2b+a=11
Answer:
a = -1
b = 6
Step-by-step explanation:
a = -b + 5
2b + a = 11
2b + a = 11
2b + (-b + 5) = 11
2b - b + 5 = 11
b + 5 = 11
b = 11 - 5
b = 6
2b + a = 11
2(6) + a = 11
12 + a = 11
a = 11 - 12
a = -1
: Susan bought a 6-month $1,400 certificate of deposit. At the end of 6 months, she
received $126 simple interest. What annual rate of interest did the certificate pay?
What is the length of segment AB?
12!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Two vertices of a rectangle are (−10, −7) and (−10, 18) .
What is the length of this side of the rectangle?
Answer:
The length of the side of the rectangle is 11 units.
Answer:
11 units
Step-by-step explanation:
did the unit test in K12
Jeremy wants to read 100 more books by the end of the school year. There are 36 weeks of school. How many books does Jeremy need to read each week?
Answer: 2.777777778 or 2.7 or rounded to 3.0
Step-by-step explanation: 100 • 36 = 2.7 or 3.0
Answer:
I am not 100 % but I think it is 2 books a week
Step-by-step explanation:
100/36
Brainlest??
IM EAT SOMETHING
Try to guess what im eating (you have 3 tries)
sour but a little sweet
DARK red
LOTS of seed
wish you luck
Answer:
Raspberry?
Step-by-step explanation:
Did I get it???
Hope you have a great day! :)
I think the answer is a pomegranate...
an Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?
Answer:
45
Step-by-step explanation:
This is a trick question. Since they only get three purchases in by 7 weeks, the answer will be 15 times 3 or 45.
(If I'm wrong and it's not a trick question, then it's 15 times 3.5 or 52.5)
Hope this helps!
Adding up inches in a perimeter
Answer:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).
Step-by-step explanation:
Find the radius of the circle whose equation is x² + y² = 4.
4
2
16
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram
are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.
Answer:
The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.
I don't know the geometric theorems :( but I hope this first part is helpful
The angular speed for a Wind turbine with blades turning at a rate of 19 revolutions per minute is
Answer
The answer to the question is 3.157 revolutions per second.
Step-by-step explanation:
The reason is because speed is the distance the object travels in a second.
So, we know that the wind turbine is moving 19 revolutions per minute, so therefore to find the number of rotations the wind turbine is doing per second we have to do 60/19 because there is 60 seconds in a minute.
Therefore, if we do that equation we get the answer, as 3.157 revolutions per second!
I hope this answer helps!
What is the area or the figure below? THE FIRST TO ANSWER GETS MARKED AS BRAINLIEST
Answer:
168 in.²
Step-by-step explanation:
it is the correct answer
A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food. How many bags of food did each cow eat?
Answer:
1.8 bags
Step-by-step explanation:
you just divide 9 by 5
The number of bags of food that each cow eats will be 1.80 bags.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A farmer fed 9 bags of food to his 5 cows. Each cow ate the same amount of food.
Then the number of bags of food that each cow eats will be given as,
⇒ 9 / 5
⇒ 1.80 bags
The number of bags of food that each cow eats will be 1.80 bags.
More about the Algebra link is given below.
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please help my mom is about to ground me
Answer:
d
Step-by-step explanation:
180-90-40=50
Input. Output
2. 10
4. 18
6. 22
Answer:
incomplete question
Step-by-step explanation:
f(x) = 3x – 10
g(x) = x2 + 4x + 5
Find: g(f(x))
Answer:
g(f(x))=g(3x – 10)=(3x – 10)² + 4(3x – 10)+ 5=9x²-60x+100+12x-40+5=9x²-48x+55
Hakeem shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets? step by step
Answer:
60
Step-by-step explanation:
Answer:
17 divided by 28 = .6071 which equals 60.7% or rounded to 61%
Step-by-step explanation:
long division
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold twice as sundaes than banana splits and made $154. Write a system of linear equations to help solve for how many of each type are in your uncle's collection. Define Variables: Lets the number of sundaes sold Let B - the number of banana splits sold
Answer:
i dont want to put the whole example cz like ur school might catch u so u gonna have to do the explainin part srry:( but the answear is 156$
Step-by-step explanation:
What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x
O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)
Answer:
A. 4x^2(c+3)
Step-by-step explanation:
)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.
Answer:
b < c < a < d
Step-by-step explanation:
P.S - The exact question is -
Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,
b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)
To find - Arrange the values of a, b, c, d in increasing order , and explain
how you determined their order.
Proof -
Firstly draw a unit circle where you indicate the following
A = ( cos(x), sin(x) )
B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )
C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )
D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )
As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]
⇒sin (x) and cos(x) are positive and sin(x) < cos(x)
The figure is as follows :
Now
By seeing point B , we can say that
sin ([tex]\pi[/tex] - x) = sin (x) = a
By seeing point C , we can say that
cos([tex]\pi[/tex] + x) = -cos (x) = b
By seeing point C , we can say that
sin( x - [tex]\pi[/tex]) = -sin(x) = c
By seeing point D , we can say that
cos(2[tex]\pi[/tex] - x) = cos(x) = d
As sin(x) < cos(x) ⇒ a < d
-sin(x) > -cos(x) ⇒ c > b ⇒ b< c
and as we know that -sin(x) < sin(x) ⇒ c < a
∴ we get
b < c < a < d
hey can someone please confirm my answer? i got D but it was a guess because i’m not confident in my graphing skills yet
Answer:
the answer is d
Step-by-step explanation:
Which of the following is equivalent to 8?
3 to the power of 2
2 to the power of 4
2 to the power of 3
4 to the power of 2
Rewrite the expression using the distributive
property. Do not add any extra spaces.
9y2-3y
Answer:
3y (3y -1)
Step-by-step explanation:
yes or no? please help!!
Answer:
No it is not
Step-by-step explanation:
One cannot have two outputs
Please mark me brainlest!!
write and equation for the trend line shown
Answer:
y = [tex]-\frac{10}{3}[/tex]x + 70
or
y = 70 [tex]-\frac{10}{3}x[/tex]
(They're both the same equation, whichever one you prefer you can use!)