The air traffic control tower in Dublin, Ireland is 87.7 meters tall. If someone
in the tower (assume they are at the top even though they would actually be
slightly lower) measures the angle of inclination to a plane to be 17.4 degrees
and the pilot communicates that the plane is currently flying at an altitude of
715 meters, how far away from the tower is the plane?
The distance from the tower to the plane is approximately 2014 meters.
The situation forms a right angle triangle. Therefore,
Characteristics of a right angle:One of it angle is equals to 90 degree.The sides and the angle can be found using trigonometric ratios.The height of the triangle is the plane altitude - traffic tower height which is 715 - 87.7 = 627.3 meters.
The angle of inclination from the tower to the plane is given as 17.4 degrees.
The distance from the tower to the plane is the adjacent side of the triangle. Therefore,
tan 17.4 = opposite / adjacent
tan 17.4 = 627.3 / a
a = 627.3 / tan 17.3
a = 627.3 / 0.31146531595
a = 2014.02842586
a = 2014 meters.
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Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as much to rake the lawn as she does to mow the lawn. How much does Kayla get paid to mow the lawn?
Answer:
Step-by-step explanation:
$5
Step-by-step explanation:
The opposite of multiplication is division.
$15/Raking = 3 times more pay than mowing the lawn.
Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.
15/3 = 5
Answer:
Kayla gets $5 paid to mow the lawn.
Step-by-step explanation:
if she get 3 times to rake the lawn.
then she get 15/3 = $5
Write the expression using a single exponent. –44(47) –44 –411 411 –1611.
The solution for the expression will be -4134.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is –44(47) –44 –411 411 –1611. The expression will be solved as,
E = –44(47) –44 –411 411 –1611.
E = -2068 - 44 - 411 - 1611
E = -4134
Therefore, the value of the expression is -4134.
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Answer:
Step-by-step explanation:
-4134.
can you use any two of the given data points in a scatter plot to write an equation for a trend line? explain.
Answer:
A trend line is a straight line that comes closest to the points on a scatter plot. We can use two points on a trend line to write an equation in slope-intercept form for the trend line.
Step-by-step explanation:
Explanation to write an equation for a trend line is given.
What is a trend line?The straight line on a scatter plot that is closest to the points is called a trend line. Two points on a trend line can be used to create an equation in slope-intercept form.
To write an equation;
Step 1, Make a scatter plot of relationship of expression.
Step 2, To draw a trend line, use a straight edge to draw a line that has about the same number of points above and below it. Ignore any outliers.
Step 3,Find the slope of the trend line. Use the slope formula.
Step 4, Find the y-intercept of the trend line.
Step 5, Use your slope and y-intercept values to write the equation.
Therefore, we have the equation of a trend line.
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Simplify, will give brainliest plus 50 points
Answer:
20. = 5(ab)^4 / 9mc^7
24. = 9c^4
Step-by-step explanation:
Malcolm is driving 1,323 miles from witchita to charleston for a family reunion. He drives 443 miles for the first day and 409 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcom has left to drive
Answer:
470
Step-by-step explanation:
1323 rounds to 1320
443 rounds to 440
409 rounds to 410
1320 - (440 + 410) =
1320 - 850 =
470 <=== malcolm has about 470 miles left to go
question#14 on edge
will give brainliest!
Answer:
D.
Step-by-step explanation:
Missing x: 11
Missing y: 19
Answer:
D. Missing x: 11 and y: 19.Step-by-step explanation:
We need to keep the line straight.
If we put in the wrong digit, it will become a nonlinear function.
So, Let's go over it.
x is going up by 2.y is going up by 1.there are 2 missing digits.11 and 19 are the missing digits.Image below to see the graph.
Brainliest please.
i need help thank you so much
Answer:
The answer number 4 is correct
Solve this for me plz
Answer:
Let x=small boxes of paper
Let y=large boxes of paper.
System of Equations: x+y=24 and 45x+75y=1410
Step-by-step explanation:
Let x=small boxes of paper
Let y=large boxes of paper
There are a total of 24 boxes of paper, so for your first system, you should try to find out how many small boxes there are and how many large boxes there are.
so: x+y=24 is the first equation.
Together, all the boxes weigh 1,410 pounds. So, your next equation will be 45x+75y=1410. (because you need to multiply the weight by the number of boxes)
Select the correct answer.
Tobias wants to add a wooden trim to a triangular window with the dimensions shown.
60°
6 ft
30°
What is the approximate length of wood needed to trim the window?
Ο Α.
14.2 ft
ОВ.
15.4 ft
OC. 13.2 ft
OD.
14.5 ft
Using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.
Trigonometry RatiosThe length of the wood needed to trim the window is the perimeter of the triangular shape shown in the image.
To find the perimeter, use the trigonometry ratio, to find the other two legs of the right triangle.
Thus:
Reference angle = 30°
Hypotenuse = 6 ft
Opposite = ?
Apply SOH:
sin 30 = opp/hyp
sin 30 = opp/6
Opp. = sin 30 × 6
Opp. = 3 ft
Find the other leg:
Reference angle = 30°
Hypotenuse = 6 ft
Adjacent = ?
Apply CAH:
cos 30 = adj/hyp
cos 30 = adj/6
Adj. = cos 30 × 6
Adj. = 5.2 ft
Perimeter of the triangle = 5.2 + 3 + 6 = 14.2 ft.
therefore, using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.
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Answer:
Step-by-step explanation:
Using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.
Trigonometry Ratios
The length of the wood needed to trim the window is the perimeter of the triangular shape shown in the image.
To find the perimeter, use the trigonometry ratio, to find the other two legs of the right triangle.
Thus:
Reference angle = 30°
Hypotenuse = 6 ft
Opposite = ?
Apply SOH:
sin 30 = opp/hyp
sin 30 = opp/6
Opp. = sin 30 × 6
Opp. = 3 ft
Find the other leg:
Reference angle = 30°
Hypotenuse = 6 ft
Adjacent = ?
Apply CAH:
cos 30 = adj/hyp
cos 30 = adj/6
Adj. = cos 30 × 6
Adj. = 5.2 ft
Perimeter of the triangle = 5.2 + 3 + 6 = 14.2 ft.
therefore, using the trigonometry ratio to find the remaining missing legs of the triangle, the approximate length of the wood needed is: A. 14.2 ft.
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X is less than or equal to -1/2. Can -1/2 be a solution for x? Explain.
Answer:
yes because it can be equal to it
What could be a slope for this?
Answer: y=mx+b find any two points on the line
Step-by-step explanation:
In need of some help!!
hurry
Maria made 7 cups of salsa and will pour 13 cup into each small serving bowl. Find the number of bowls she will use. The number line can help you solve the problem.
The number of bowls Maria will use to serve her salsa is 0.5 serving bowl
How to find number of serving bowlTotal cups of salsa made = 7Total cup poured into serving bowls = 13Number of serving bowls needed = Total cups of salsa made / Total cup poured into serving bowls
= 7/13
= 0.53846153846153
Approximately,
0.5 small serving bowl
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REPOST* Please help me (brainiest) No links please
Tom and Susan park at different lots.
To see which lot is busier, they count the numbers of cars in the lots each day as they arrive. Their data are shown in the box plots.
Answer the questions to compare the variabilities of the data sets.
1. What is the interquartile range for Tom's data? Explain how you found the interquartile range.
2. What is the interquartile range for Susan's data?
3. Whose data are more variable?
Answer:
Can you add the box plots pls
Step-by-step explanation:
Find the value of x using the figure to the right.
x + 17
х
68
Answer:
Step-by-step explanation:
3000 people attended a football game. If 2% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
60 teenagers
Step-by-step explanation:
3000 divided by 100 = 30 (1%)
30 x 2 = 60 (2%)
4 1/3 x 2 1/4 written down
Answer:
117/16
Step-by-step explanation:
4 1/3=13/4 2 1/4=9/4 multiply and that gives 117/16
Find the area of the circle below:
4 in
Round to the nearest TENTHS place.
Answer:
12.56 =13
Step-by-step explanation:
Area of Circle is =
[tex]\pi \: r ^{2} [/tex]
R=2 in
Putting value of r in formula.
Area of Circle =12.56=13
Please mark branliest if you satisfied with the answer. Thanking you in anticipation.
Which two numbers on the number line have an absolute value of 1.75?
Answer by looking at the photo given.
Help! I WILL HAND OUT A BRAINLIST!
Answer:
There are 1.295 or 1.29 moles
Step-by-step explanation:
1 mole = 6.022 × 10^23 molecules
So, number of moles present in 5.7 × 10^23 molecules of water = (5.7 × 10^23) / 6.022 × 10^23 = 0.946 moles
Hope, this helps.
What is 1 whole and 1/4 + 3/4
Answer:
1 /4 plus 3/4 equals 1 one whole cuz the 1 plus 3 4 and the 4/4 thats one 1
Step-by-step explanation:
Does 2 3/8 = 57/24 explain throughly
HELP PLEASE D:
Answer:
yes
Step-by-step explanation:
Yes because 57/24 simplified is 19/8 and 2 3/8 as a mixed number i think it's called is 19/8!
Hope this helps! Please mark brainliest!
In the given figure find the value of x ?
Thank you!
Answer:
x = 92.5°
Step-by-step explanation:
both are isosceles triangles, with two angles similar
2y + 110 = 180°
2y = 180-110
y = 70/2 = 35°
2z + 65 = 180
2z = 180-65
z = 115/2 = 57.5°
so total angle, x = 35 + 57.5 = 92.5°
EXPLANATION:
In ∆ ABC, ∠CAB = 65°
AB = AC
⇛∠ACB =∠CBA
Since the angles opposite to equal sides are equal.
Let ∠ACB = ∠CBA = A°
We know that
The sum of all angles in a triangle is 180°
⇛∠ACB + ∠CBA + ∠CAB = 180°
⇛A°+A°+65° = 180°
⇛2A°+65° = 180°
⇛2A° = 180°-65°
⇛2A° = 115°
⇛A° = 115°:2 =115°/2
⇛A° = 57.5°
∠ACB =∠CBA =57.5°
and
In ∆ BCD , ∠BCD = 110°
and
BC = CD
⇛∠BDC =∠CBD
Since the angles opposite to equal sides are equal.
Let ∠BDC =∠CBD = M°
The sum of all angles in a triangle is 180°
∠BCD+∠BDC + ∠CBD = 180°
⇛M°+M°+110° = 180°
⇛2M°+110°° = 180°
⇛2M° = 180°-110°
⇛2M° = 70°
⇛M° = 70° :2 =70°/2
⇛M° = 35°
.°. ∠BDC = ∠CBD = 35°
Now,
∠B = ∠ABC+ ∠CBD
⇛x = 57.5°+35°
⇛x = 92.5°
.°. x = 92.5°
Answer: The value of x is 92.5°.
Additional comment: •The sum of all angles in a triangle is 180°
• the angles opposite to equal sides are equal. •The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
also read similar questions: In the given figure find the value of x and y? Show you…
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Se considera mulțimea
A={1,2,3,…,n+1} n€N
Sa se determine:
a) nr. submultimilor B ale lui A astrele încât {1,2} ⊂ B
b) numărul submultimilor B ale lui A cu proprietatea ca {2,3} ⊂ B ⊂ {1,2,3,…,n}
DAU FUNDA!!
?????????????????????
Answer:
shaded area = 7.72 cm²
Step-by-step explanation:
square area is length * length = 6 * 6 = 36 cm²
circle area = πr² = 3.142 * 3 * 3 =28.278 cm²
so shaded area = 36 cm² - 28.278 cm² = 7.72 cm²
Answer:
The area of the shaded region is 7.722 cm²Step-by-step explanation:
We know that:
Diameter of circle = 6 cmRadius of circle = 3 cmSide of square = 6 cmπ = 3.142Using the above information, let's find the area of the square, then the area of a circle.
Area of square = Side²=> Area of square = 6²=> Area of square = 36 cm=> Area of circle = πr²=> Area of circle = 3.142 x r x r=> Area of circle = 3.142 x 3 x 3=> Area of circle = 28.278Now, let's subtract the area of the circle from the area of a square. (I.e., Area of square - Area of circle)
=> 36 - 28.278=> 7.722Hence, the area of the shaded region is 7.722 cm².
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Pls help asap!!! I need to solve for x for these three questions (39 , 41 and 43) PLS ASAP!!!
Answer: 39. x= 37, 41. x=7, 43. x = 29
Step-by-step explanation:
39. 2x + 4 + 2x - 9 + x = 180
5x - 5 = 180
5x=185
185/5
x=37
41. 90 + 8x - 1 + 4x+7 =180
8x-1+4x+7=90
12x+6=90
12x=84
84/12
x=7
36+x=2x+7
36=x+7
29=x
Hope this helps.
Answer:
Hope this helps
Alice sleeps 9 hours per night and a cat sleeps 20 hours per day. How many more hours does a cat sleep in a month than Alice?
Answer:
Assuming that by ¨month¨ you mean 31 days the answer is 341Step-by-step explanation:
1. Calculate the GPA. Tom just completed his semester. He made an A in a 4 credit hour science
course. He earned a C in a 1 hour PE class. He earned a B in a 3 hour French course and he earned
an A in a 3 hour Speech course. Assuming an A equals 4 points, a B equals 3 points, and a C equals 2
points, determine Tom's GPA for the semester.
Using the weighed mean, it is found that Tom's GPA for the semester is of 3.545.
What is the weighed mean?The weighed mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.In this problem, the data-set is composed by the grades, which are:
Grade of 4 with a weight of 4.Grade of 2 with a weight of 1.Grade of 3 with a weight of 3.Grade of 4 with a weight of 3.Hence, his GPA is of:
[tex]GPA = \frac{4(4) + 2(1) + 3(3) + 4(3)}{4 + 1 + 3 + 3} = 3.545[/tex]
Tom's GPA for the semester is of 3.545.
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Can you please help me do this please?
Answer:
[tex](a) \: which \: is \: a\: point \:6 \: units \: to \: \\ the \: right \: of \: 4 \\ 4 + 6 \\ [/tex]
[tex](b) \: which \: is \: a \: point \: 6 \: units \: to \: \\ the \: left \: of \: 4 \\ - 4 + 6[/tex]
hoped that helped
