Jenny is piloting an airplane at point A sees others at b and c. For the pilot of airplane b, calculate the angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree
Answer:
Step-by-step explanation: 5
The angle between the lines of sight to the airplane at c and Jenny's airplane to the nearest tenth of a degree is 25.1°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
Cosine theorem:
Cos 120° = (4.2² + 5.7² - BC²) / (2 x 4.2 x 5.7)
-0.5 = (17.64 + 32.49 - BC²) / 47.88
-23.94 = 50.13 - BC²
BC² = 50.13 + 23.94
BC = √(74.07)
BC = 8.6
Sine theorem:
BC / Sin ∠A = AC / Sin ∠B
8.6 / Sin ∠A = 4.2 / Sin ∠B
8.6 / 120 = 4.2 / Sin ∠B
Sin ∠B = (4.2 x 120) / 8.6
Sin ∠B = 58.60
∠B = 25.1°
Thus,
The angle is 25.1°.
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1. Find the distance between the
points: (1, 2),(6, 4)
Someone help me with this plis !
Answer:
5.8516
Step-by-step explanation:
To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:
[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Let's find the variables of this equation:
x2 = 6
x1 = 1
y2 = 4
y1 = 2
Now, we can plug these in to the equation:
[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]
Next, let's solve:
[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]
Therefore, the distance between points (1,2) and (6,4) is 5.8516
Hope this helps!!
- Kay :)
Given that triangle ABC congruent to triangle DEC and m
Answer:
m∠ABC=67°
Step-by-step explanation:
PLZ ANSWER GUYS. The sum of 3 consecutive odd numbers is 39. What is the smallest of these numbers? Write an equation for for this problem.
Answer:
The three integers are
11, 13, and 15.
Step-by-step explanation:
. The sum of these is 39, so we can write:
x+(x+2)+(x+4)=39
Open the brackets and simplify.
x+x+2+x=+4=39
3x+6=39
Subtract 6 from each side.
3x=33
Divide both sides by 3.
x=11
Therefore: (x+2)=13 and (x+4)=15
Solve the system using elimination (15 points)
2x+3y=9
x+5y=8
Answer: (3,1)
Step-by-step explanation:
2x + 3y = 9
(x + 5y = 8) -2
2x + 3y = 9
-2x - 10y = -16
-7y = -7
y = 1
2x + 3(1) = 9
2x = 6
x = 3
¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +
Answer:
A, B
Step-by-step explanation:
Los términos están separados por +, -, / o x.
The mark obtained by Belij in an exam is 28 out of 40, express his obtained marks in percentage
Marks
= 28/40
= 28/40 × 2.5/2.5
= 70/100
= 70%
Answer:
70percent
Step-by-step explanation:
28/40 x 100
0.7 x 100
=70 percent
Horario is solving the equation -3/4 + 2/5 = 7/20x -1/2
Answer:
x = 3/7
Step-by-step explanation:
In isosceles triangle ABC, AB=AC.If B=55, calculate A
Answer: ∠A = 70°
because ABC is an isosceles triangle and AB = AC
=> ∠B = ∠C = 55°
=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°
Step-by-step explanation:
sorry i can't help :(
A department store buys 400 shirts at a cost of $7,200 and sells them at a selling price of $20
each. Find the percent
Answer:
11%
Step-by-step explanation:
I think that's the answer just check first
Which of the following is a true statement?
Answer: T second one because I divided 108 divided by 9 and it equaled 12.
Step-by-step explanation:
I did not do the other steps but like source: Trust me.
Answer:
The answer is B
Step-by-step explanation:
108/9=12
can Someone help me
Answer:
B
Step-by-step explanation:
pls answer QUICK PLSSSS
Step-by-step explanation:
1) 13.57
+2.93
With this, we subtract from the back Meaning we add starting from back to forward;
13.57
+2.93
16.50
We have that because when you add 7 and 3 you get 10 so we write the 0 there and add the remaining 1 to the 5 making it 6 and then 6 plus 9 will give you 15 then we write the 5 then we add the remaining 1 to the 3 making it 4 then we add the 4 to the 2 making it 6 after this there is no remainder so we just write the 1.
3. If s varies directly as (r + 1) and s = 8, when r = 3, calculate the value ofr when s = 20.
(4marks)
Answer:
When s = 20, r = 9
Step-by-step explanation:
Given,
s is directly proportional to (r + 1)
s = k(r + 1)
(k is the constant of proportionality)
When s = 8,
8 = k(3 + 1)
8 = k(4)
8 = 4k
8/4 = k
2 = k
When s = 20,
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
Aden spent $10 on a mug and then sold it, making 20% profit, how much did he sell the mug for
Answer: $2
Step-by-step explanation: 20 percent of 10 is 2
Hope I did this right
The selling cost of the mug is the amount of $12.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.
We have been given that Aden spent $10 on a mug and then sold it, making a 20% profit.
The original cost of the mug is $10.
The selling cost of the mug = original cost + 20% of the original cost
The selling cost of the mug = $10 + 20% of $10
The selling cost of the mug = 10 + (20/100)10
The selling cost of the mug = 10 + 0.20 × 10
The selling cost of the mug = 10 + 2
The selling cost of the mug = $12
Therefore, the selling cost of the mug is the amount of $12.
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Peter creates balloon animals for different events. He has 644 balloons. He wants to use
the same number of balloons for each of 28 events. How many balloons can Peter use at
each event?
Answer:
He uses 23 balloons for each of the 28 events.
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
I divided 644 by 28. There are 644 balloons and you want to split
(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!
Mandy divided a 5-pound bag of oranges into 12 equal piles. Which rational number represents the weight of the oranges in each pile? 1/5 5/12 2 1/6 2 2/5
Answer:
5/12
Step-by-step explanation:
Total pound of oranges = 5
Number of piles = 12
Weight of the oranges in each pile = Total pound of oranges / Number of piles
= 5 / 12
The rational number which represents the weight of the oranges in each pile is 5/12
Which number is greater . 60 or 7.5
Answer:
60 is greater than 7.5.
step by step
If the ice cream truck sales 90 ice cream cones, how hot could you predict it was outside?
0 95
105
102
O
100
Answer:
It would most likely be in the 100's so maybe 105
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.
Answer: Let n be the number of nickel
s, d be the number of dimes, and p be the number of pennies.
Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Just 2 and 3 .....................................
Answer:
i
Step-by-step explanation:
(-2)^3=
Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
PLEASE HELP ME ON THIS QUESTION IVE BEEN STUCK ON IT FOR 10 MINUTES!!!!!
Alice, Maggie, Luna, and Zeinab were making necklaces for the school fair. Alice made 52 necklaces that are each 8.2 inches long. Maggie made 46 necklaces that are each 7.8 inches long. Luna made 21 necklaces that were each 7.7 inches long. And Zeinab made 31 necklaces that were each 8.7 inches long. They all used beads that were each 2 centimeters long. how much beads would the girls use to fit all of the necklaces they made?
Alice:_______
Maggie:_______
Luna:_______
Zeinab_______
40 POINTS!!!
Answer:
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Is the equation y +1 = 6(x + 5) in point-slope form? Justify your answer.
(select) the equation is equivalent to
Answer:
yes its is slope
Step-by-step explanation:
What is the given point on the line of this equation y +2 = (1 - 3)2
Answer:
4
Step-by-step explanation:
Move numbers to right hand side
A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?
Answer:
0
Step-by-step explanation:
Initial. Position = (- 850) below sea level
Upward movement = 165m
Deownward movement (descent) = (165m
Change in position : net change
Upward movement + downward movement
(165 + (-165)m = (165 - 165)m = 0
Sarah used 2.5 cups of cheese in a dish that serves 10 people. Many used 1.6 cups of cheese ina dish that serves 8 people. How much cheese is in one serving of Sarah's dish?
Answer:
Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.
Step-by-step explanation:
-11 = -4/3 y
Please answer the question...
What is the value of y?
Answer:
8.25
Step-by-step explanation:
-11 = (-4/3) y
(-11)/(4/3) =y
∴ y = 8.25
Given: m || CB Prove: m∠ABC + m∠BAC + m∠ACB = 180° A triangle and line are shown. Line m contains points X and Y. Triangle A B C sits on line M at point A. Line m and line segment B C are parallel. Which statement justifies that angle XAB is congruent to angle ABC? Corresponding angles of parallel lines cut by a transversal are congruent. Vertical angles are congruent. Same-side interior angles of parallel lines cut by a transversal are supplementary. Alternate interior angles of parallel lines cut by a transversal are congruent.
Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
Help!!! Thanks :))))))
Answer:
80
Step-by-step explanation:
180-60=120
120-40=80