The angle of depression from you to your friend is 54.1°
Trigonometric ratios
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle between me in air and my friend, hence:
tanθ = 326 / 450
θ = 35.9 degrees
The angle of depression = 90 - 35.9 = 54.1°
The angle of depression from you to your friend is 54.1°
Find out more on Trigonometric ratios at: https://brainly.com/question/24349828
Jessica Johnson is running for mayor of a small city in Florida. She needs at least 51% of the votes to win.
Her campaign wanted to make a prediction about whether or not she will win. She hires ten polisters to each
ask 100 randomly selected voters if they will vote for her. The pollsters' results are below.
Poll number
1
2
3
4
5
Yes votes
51
68
58
43
65
Poll number
6
7
8
9
10
Yes votes
56
45
59
71
63
Use this information to correctly complete the statement below. From the drop-down menus, select a
prediction and the best justification for that prediction based on the data.
Jessica should predict that she will
because
Answer:
I dont really know if i understand the problem fully but i hope this is what you are looking for:
Step-by-step explanation:
A prediction for yes votes you round all the results and add = 300 real answer: 285
Poll number: 50, real: 40
Yes votes (#2) 290, real: 294
In conclusion you get 300, 50, 290 I think.
1.
Carly has 35 pens in her pencil case and 20% don't work. How many don't work?
Answer:
35/5=7 ez math why are you asking
How to do
Please add explanation
Answer:
x=1÷x+1
NOW
or,x=1÷×+1
or,xsquare=1÷1
or,xsquare=1
or,h=1 answer
4) A tree casts a 25-foot shadow. At the same time of day, a 6-foot man standing near the tree casts a 9-foot shadow. What is the height of the tree, to the nearest foot?
Answer:
22 feet shadow, I'm sorry if this is incorrect-
Normal Distribution (Standard deviation)
Image attached! Due in 1 hour! please help!
I don't know what kind of calculator you have at your disposal, so I'll just give one way of computing the sample mean and standard deviation.
• To get the mean, add up all the data points and divide the total by the number of data:
[tex]\bar x = \displaystyle \sum_i \frac{x_i}n = \frac{1243+1264+\cdots+1275}9 \approx 1273.89 \\ \implies \boxed{\bar x \approx 1274}[/tex]
• To get the s.d. s, first compute the variance s² by adding up the squared difference between each of the data points and the sample mean, and divide the total by 1 less than the number of data:
[tex]s^2 = \displaystyle \sum_i \frac{\left(x_i-\bar x\right)^2}{n-1} = \frac{(1243-1274)^2+(1264-1274)^2+\cdots+(1275-1274)^2}8 \approx 1211.61[/tex]
The s.d. is the square root of the variance:
[tex]s^2 \approx 1211.61 \implies s \approx 34.8082 \implies \boxed{s\approx 35}[/tex]
The 90% confidence interval for the sample mean has upper and lower limits, respectively, of
[tex]\bar x \pm \dfrac{\left|Z_{\alpha/2}\right| s}{\sqrt n}[/tex]
(positive root for upper limit, negative root for lower limit)
where [tex]Z_{\alpha/2}[/tex] is the critical value for a (1 - α)×100% confidence level. By critical value, I mean
[tex]\mathrm{Pr}\left[ Z \le Z_c \right] = c[/tex]
where Z is a random variable following the standard normal distribution.
In this case, we have a 90% confidence level, so α = 0.1, and the critical value is [tex]Z_{0.05} \approx -1.64[/tex]. Then the confidence interval has upper limit
[tex]\bar x + \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 + \dfrac{1.64 \times 35}{\sqrt9} \approx 1292.97 \approx \boxed{1293}[/tex]
and lower limit
[tex]\bar x - \dfrac{\left|Z_{0.05}\right|s}{\sqrt n} = 1274 - \dfrac{1.64 \times 35}{\sqrt9} \approx 1254.8 \approx \boxed{1255}[/tex]
PLEASE HELP THIS IS URGENT PLEASE!!!!!!!!!!!
The following steps were used to simplify the expression 4(3 +1/4).
4(3 +1/4)
4 · 3 + 4 · 1/4
12 + 1
13
Which of the following properties were used to simplify this problem? Not all steps required using a property.
distributive property and multiplicative inverse
distributive property and multiplicative identity
associative property and commutative property
associative property and multiplicative inverse
Answer:
13
Step-by-step explanation:
[tex]4(3 + \frac{1}{4} )[/tex]
multiply 4 by all the numbers in brackets4 × 3 = 12
4 × ¼ = 4 ÷ 4 × 1 = 1
[tex]4( 3 + \frac{1}{4} ) = 12 + 1[/tex]
[tex]12 + 1 = 13[/tex]
_________________________
1. Amello has $25 to spend on maceuo this week. She loves lipstick och lostics . tube costs $4. What is the monimum number of lost'oks that she can
look at the pictures
one step inequality word problems
Answer:
1. 4x ≤ 25
⇒ x ≤ 6.25
2. x + 4 < 25
⇒ x < 21
3. x + 4 ≥ 25
⇒ x ≥ 21
4. 4 + x ≤ 25
⇒ x ≤ 21
Step-by-step explanation:
1. 4x ≤ 25
⇒ x ≤ 6.25
2. x + 4 < 25
⇒ x < 21
3. x + 4 ≥ 25
⇒ x ≥ 21
4. 4 + x ≤ 25
⇒ x ≤ 21
Please help me out.
Answer:
a) y = 10x +500
b) $500
c) $15 for 100; $10.50 for 1000
Step-by-step explanation:
a)We assume the given "cost per unit" is the variable cost per unit. The total cost (y) for x units, given some fixed cost (b), is ...
y = 10x +b
For 100 units, this is ...
1500 = 10(100) +b
500 = b . . . . . . . . subtract 1000
The cost function rule is ...
y = 10x +500
__
b)The fixed cost is the cost of producing 0 units:
y = 10(0) +500
y = 500 . . . . . . . the fixed cost in dollars
__
c)The average cost (ac) of producing n units is the total cost divided by n:
ac(n) = (10n +500)/n = 10 +500/n
The average cost for 100 units is
ac(100) = 10 +500/100 = 15 . . . average dollar cost for 100 units
The average cost for 1000 units is ...
ac(1000) = 10 +500/1000 = 10.50 . . . average dollar cost for 1000 units
A container holds 62 cups of water. How much is this in gallons?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
3.875
Step-by-step explanation:
I just kinda know I'm good with cups and gallons
Geometry: Mathematical proofs
Answer:
B
Step-by-step explanation:
<3 and <2 are on a straight line.a straight line is 180° .so <3 +<2=180.angles which add up to 180 ° are said to be supplement
The best statement in geometric proof that proves the theorem that vertical angles are equal [tex]\angle2 + \angle3 = 180^{\circ}[/tex] because ∠2 and ∠3 are linear pair.
In the given proof, where the angles are labeled as ∠1, ∠2, ∠3, and ∠4, demonstrate the equality of vertical angles by utilizing the concept of a linear pair:
Step 1: Given two lines intersect.
Step2:
State that ∠1 and ∠2 are adjacent angles, as they share a common side.Introduce the concept of a linear pair, which states that if two angles form a straight line, their measures sum up to 180°. Since ∠1 and ∠2 form a straight line, their measures sum up to 180 degrees. Express the equation: [tex]\angle1 + \angle2 = 180^{\circ}[/tex].Step 3:
Demonstrate that ∠2 and ∠3 are also adjacent angles, sharing a common side.Apply the linear pair concept to ∠2 and ∠3, resulting in the equation: [tex]\angle2 + \angle3 = 180^{\circ}[/tex].Step 4:
By comparing the equations [tex]\angle1 + \angle2 = 180^{\circ}[/tex] and [tex]\angle2 + \angle3 = 180^{\circ}[/tex], deduce that ∠1 and ∠3 are equal angles.By following this step-by-step geometric proof, establish that the best statement to prove the theorem "Vertical angles are equal when two lines intersect" is the statement that defines vertical angles as "Vertical angles are formed by adjacent angles sharing a common side
Learn more about geometric proofs here:
https://brainly.com/question/2065148
#SPJ6
4) Rotation: 90° ccw about the origin
Answer:
Graph attached
Step-by-step explanation:
Counterclockwise rule: (x, y) to (-y, x)
Hope this helps!
Solve the equation:
1/3=n + 3/4
And please explain how you got the answer!
Answer:
n = -5/12
Step-by-step explanation:
1/3 = n + 3/4
Now, get equal denominators:
4/12 = n + 9/12
Now, solve:
n = -5/12
Hopefully this helps!
Brainliest please?
Dad caught 22 fish in the morning. He threw 5
back because they were too small. He caught 12
more in the afternoon. How many fish did dad
have then?
Is 29 the answer to this problem.
He caught 22 but put 5 back so had 22-5 = 17 fish
He then caught 12 more for a total of 17 + 12 = 29
Answer: 29 fish.
Answer:
The answer is 29 (so you were right!)
Step-by-step explanation:
He had 22 fish, and he threw 5 back
22 - 5 = 17
He caught 12 more in the afternoon
17 + 12 = 29
So, 29 is your answer.
A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
Answer:
a. see attached
b. $140
Step-by-step explanation:
a.The graph starts at y=65 when x=0 and increases by 25 for each increase of 1 in x. The attachment shows a graph of the equation.
__
b.Use x=3 in the equation.
-25x +y = 65
y = 65 +25x = 65 +25(3) = 140
A bracelet with 3 charms costs $140.
A novelty store sells 8 comic books for every 3 action figures. On
Monday, they sold 32 comic books. On Tuesday, they sold 18 action
figures. What is the difference between the number of action
figures sold on Monday and Tuesday? Explain.
Answer:
Step-by-step explanation:
THE answer is 6
First Calculate the number of action figures sold on Monday:
8 comic books for every 3 action figures
32 comic books =? action figures
8 x 4 = 32
so, 3 x 4 = 12 action figures sold on Monday
next Find the difference between the number of action figures sold on Monday and Tuesday
They're asking for the difference, so you subtract
18 - 12 = 6
Hence, the difference in the number of books on Monday and Tuesday is 6
What is the midpoint of the line segment graphed below?
Answer:
option A [tex](4, \frac{7}{2})[/tex] is the midpoint.
Explanation:
To find midpoint: [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
We shall use this formula here:
[tex](\frac{9+-1}{2}, \frac{5+2}{2})[/tex]
[tex](\frac{8}{2}, \frac{7}{2})[/tex]
[tex](4,3.5)[/tex]
Write the number that represents the English words: five hundred thirteen millionths
Answer:
513,000,000
Step-by-step explanation:
To write five hundred thirteen million in numbers change “five hundred thirteen million” to “513”, then multiply 513 by 106.
Alternatively, move the decimal point 6 places to the left:
513 × 106 = 513000000,
513 → 5,130 → 51,300 → 513,000 → 5,130,000 → 51,300,000 → 513,000,000.
Besides, five hundred thirteen million means:
513 × 10^6
513000000 as a whole number
513M in abbreviated form
[RevyBreeze]
Help me please if you can
Answer:
3 1/8
Step-by-step explanation:
3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.
6 5/8 - 3 4/8
= 3 1/8 or 25/8
write 3/8 as a decimal and percentage.
Answer:
as a decimal- 0.375
as a percentage- 37.5%
Step-by-step explanation:
schoolwork helps
A box of 125 packets of artifical sweetener sells for 3.99
The 100 packs box is on sale in another store for 3.00
which is the better buyyer
Answer :
2nd One
Explanation : 1st Is 498.75 And 2nd One Is 300.00
Given that AOB, COD, and EOF are straight lines, Find the value of 'a' of the following figures. C F 2aº За°— 10° А. B O 4a°-17° E D
Answer:
2a + 4a-17 + 3a - 10 = 180
9a - 27 = 180
+27
9a. =207
÷9
a= 23
Check:
2x23=46
4x23 - 17 =75
3 x 23 - 10 =59
Angle on straight lines adds to 180 (46+75+59=180)
Hope this helps!
please help me... I will give brainlist
Answer:
C
Step-by-step explanation:
609/504 = 1.208333333
58/48 = 1.208333333
They are proportional since they divide to the same number.
hi so im really bad at math im just wondering how do u become good at math
Answer:
Break Down Complex Problems.
Master The Basic Math Skills.
Understand The Topic Before Moving On To Another.
Know The Importance Of Number Sense.
Have A Regular And Consistent Practice.
Establish A Routine.
Focus On Understanding New Concepts.
Create A Practice Math Test.
What is the simplest form of √x^15? A. x^6√x^3 B. x^7 C. x^7√x D. x^6√x
Answer:
c. [tex]x^7\sqrt x[/tex]
Step-by-step explanation:
Find the largest square factor of [tex]x^{15}[/tex], which is [tex]x^{14}=(x^7)^2[/tex]. This gives [tex]\sqrt{x \cdot (x^7)^2[/tex]. Taking the square factor out gives [tex]x^7 \sqrt x[/tex], or choice c.
find the number pairs of 48 and 56
Answer:
■ Find the number pairs of 48 and 56
➢ GCF of 48 and 56 by Listing Common Factors
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.
[tex]TextFromYourMrEx[/tex]
#CarryOnLearning
Select the correct answer.
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A. x = 21/4
B. x = 4/21
C. x = 4/13
D. x = 13/4
Answer:
Its A x=21/4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
The equation, y = 3.5x,
represents th
le number of
books, y that Amanda read
in x, months. The number of
books Hunter read in a
month is gi
table
belowThe equation, y = 3.5x,
represents the number of
books, y that Amanda read
in x, months, The number of
books Hunter read in a
month is given in the table
below.
Answer:
y = 4x
Step-by-step explanation:
Amanda: y = 3.5x
Hunter:
x y
1 4
3 12
5 20
y = (?)x
4 = (4)1
12 = (4)3
20 = (4)5
What is the area of the composite figure?
○ 40cm^2
○ 65cm^2
○ 52.5cm^2
○ 60cm^2
Answer:
C. 52.5cm^2
Step-by-step explanation:
Area of a triangle - A=1/2bh or area=1/2 base times height
Area of a rectangle - A=lw or area=length times width
Separate the shapes first, you would draw a line between the two if this was on paper.
Find the separate areas.
Rectangle area:
8*5=40
Triangle area:
find the height first. the height of this triangle is the same as the length of the rectangle minus the 1 and 2 cms.
8-1-2=5
1/2*5*5=12.5
Now add the areas:
40+12.5=52.5cm^2
A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1540 feet, what are the dimensions of the field?
Answer:
700 by 70
Step-by-step explanation:
The equation for perimeter is 2(l + w). Since the length has an assigned value, l will become 10w.
2(10w + w) = 1540
First, add the parenthetical expression to get 11w.
2(11w) = 1540
Now, DISTRIBUTE! 2(11w) becomes 22w.
22w = 1540
Lastly, divide by 22 to get 70. You can also say that this could be 22w = 154 * 10. 22 * 7 is 154 (140 + 14), and 7 * 10 is 70.
w = 70
Now that we know the width, substitute 70 for w in the 10w expression.
l = 10(70)
Just multiply and you'll get 700.
l = 700
Now we know the dimensions to be 700 * 70 (or 70 * 700; I just prefer to put the length first)
What is the perimeter and area of the shape.
Answer:
peremiter is=35 Area is=3780
Step-by-step explanation: