9514 1404 393
Answer:
bus: 324 ft long
P-H: 1154 miles
Step-by-step explanation:
In each case, we can use the relation that the length of an arc (s) is found by ...
s = rθ
where r is the radius and θ is the angle in radians.
__
1. 2°20'50" = (2 + 20/60 + 50/3600)(π/180) radians ≈ 0.0409668 radians
Then the length of the bus is ...
(0.0409668)(1.5 mi)(5280 ft/mi) = 324 ft
__
2. The difference in latitude is ...
41°17'5" -24°45'30" = 16°31'35" ≈ 0.288440 radians
Then the mileage between latitude lines is ...
s = (4000 mi)(0.288440 radians) ≈ 1154 miles
__
Additional comment
Neither of these problems should be considered to be realistic. An actual bus will subtend a far smaller angle at the given distance. The distance between cities must take into account longitude as well as latitude (and the latitudes must be properly associated with the cities).
a) Find the value of 8 1/3
b) Find the value of 8 2/3
c) Find the value of 16 3/4
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
2, 4 and 8
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
(a)
[tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2
(b)
[tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^{2} }[/tex] = 2² = 4
(c)
[tex]16^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{16^{3} }[/tex] = 2³ = 8
Convert:
a) 3.65kg to g b) 568cm to m
c) 82L to cL
d) 0.825 m to dam e) 67.89 hg to dg f) 69g69mgtomg
Only need the answer and pls give fast pls
Determine the amount that should go in the blank in the sentence below.Explain
why.
Jamie needs to sell more thanelectronic devices each month.
th.
In the box below, type the sentence above with the correct number in the blank
AND explain why it must be more than that number
Plz hurry
Answer: 27444444444444444
Step-by-step
click here
Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Give an example of a proportion that uses the numbers 2, 3, 4 and 6. please help
Answer:
12
Step-by-step explanation:
all go into 12
Answer:
2/3=4/6
Step-by-step explanation:
they both are proportional
8 is 25% of what number?
Answer:
32
Step-by-step explanation:
25% is the same as 1/4
8 times 4 is 32 so 8 is 25% of 32
Answer:
25% would be 8
50% would be 16
75% would be 24
100% would be 32
Plz answer I need help Plz
Answer:
A. (3 , 1)
Step-by-step explanation:
▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎
How did the hundredths grid model help you calculate percents greater than 100% and percents expressed using decimals and fractions?
Answer:
How is genetic information passed from parents to offspring in humans?
But when people talk about genes being passed on, they generally don't mean genes being passed on from cell to cell during cell division. Instead, they usually mean genes being passed on from parents to children. This is known as "heredity" or "inherited genes."
Step-by-step explanation:
Alex bought a total of 65 more raffle tickets than Juan. Together they bought 343
raffle tickets. How many raffle tickets did each download?
Answer:
Juan bought 139 tickets and Alex bought 204.
Step-by-step explanation:
Suppose Juan bought a total of [tex]x[/tex] tickets. Then Alex bought 65 more, which is [tex]x+65[/tex]. The sum of both totals is [tex](x)+(x+65) = 2x + 65[/tex], but we are also given that this is equal to 343. So [tex]2x+65 = 343[/tex], and as such [tex]2x = 343-65=278[/tex], so [tex]x = \frac{278}{2} = 139[/tex]. Therefore, Juan bought 139 tickets and Alex bought 65 more, which is 204.
In the figure, name four points that are coplanar.
B
A
L
F
G
L, A, C, G
G, D, L, B
C, K, A, G
K, B, D, L
Answer:
CKAG are the coplanar points given, as they all fall on the closest triangular face.
Peter is renting two kinds of rafts for a vacation company. One type seats 3
people and the other seats 5 people. If 53 people are using the vacation
company and he rents 13 rafts, how many of each type of raft does he rent?
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of rafts seating 3 people and [tex]y[/tex] the number of rafts seating 5 people. The total number of rafts is 13, so [tex]x+y=13[/tex]. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so [tex]3x+5y=53[/tex].
It's always a good idea to put these equations under each other:
[tex]\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.[/tex]
We can subtract the first equation three times from the second one to obtain [tex](3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7[/tex]
Now, substitute this found value for [tex]y[/tex] into [tex]x+y = 13[/tex] and we see that [tex]x=6[/tex]. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
2.9 months to 4.9 months
Hi there!
For 2.9 months to reach 4.9 month, simply subtract both terms to find the result of months left to get to 4.9 months.
[tex]4.9-2.9=4-9+9-9=2.0[/tex]
Final Result: 2.0
delta math (z^r)^2r i need to simplify
Answer:
The answer is r[tex]z^{2r}[/tex]
Step-by-step explanation:
Which sum describes the total number of apples in this
array?
3 + 3 + 3
3 + 3 + 3 + 3
3 + 4
4 + 4 + 4 + 4
Answer:
3+3+3+3
Step-by-step explanation:
NOW PLS ITS IN CLASS RN HELP AHH PRE-PRE ALGEBRA
Answer:
-13,-7,-3,0,3
-9,-4,-6,3,8
Step-by-step explanation:
Answer:
A) -13, -7, -3, 0, 3 B) -100, -99, -8, -25/3, -2
Step-by-step explanation:
3)Ordered from least to greatest is: -13, -7, -3, 0, 3
(The higher the negative the "smaller" it is)
4) -100, -99, -8, -25/3, -2
These numbers are listed in order from least to greatest with the error being -25/3. This equals -8.333 and should be in front of the -8 because it is a lesser value. The correct order would be: -100, -99, -25/3, -8, -2 but your answer asks for one error so use the numbers above.
Which expressions are equal to 105? O (104) O 103.102 1 105 (103) (10-10-10-10-10
Answer:
the first one and third one
Step-by-step explanation:
I think
The expressions which is equal to 10⁵ are 10³. 10² and 10 . 10 . 10 . 10 . 10.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The given expression is 10⁵.
(10⁴)¹ = 10⁴
We have a rule of exponents,
xᵃ . xᵇ = xᵃ⁺ᵇ
10³. 10² = 10³ ⁺ ² = 10⁵
1 / 10⁵ = 10⁻⁵
(10³)² = 10^(3 × 2) = 10⁶
10 . 10 . 10 . 10 . 10 = 10⁵
Hence the equivalent expressions are 10³. 10² and 10 . 10 . 10 . 10 . 10.
Learn more about Exponents here :
https://brainly.com/question/30066987
#SPJ7
James has $32 and earns $10 per week for his allowance.
What is the initial value for the scenario described?
10
32
42
320
Answer:
32
Step-by-step explanation:
it says he already had 32 and earns 10 per week so initial is 32 and increment is 10/week
What is the value of the expression r + 1,988 if r = 2,976?
Answer:
r=988
Step-by-step explanation:
r=988
Answer:
4,964
Step-by-step explanation:
if r= 2,975 and since you have to add r+1,988 the you add 2,975+1,988 that equals:4,964.
✨ Easy points if you know how to do slope well ✨
Answer:
I believe it's A
Step-by-step explanation:
Answer:
its y=x
Step-by-step explanation:
Find the value of 4x +3y when x = 13 and y = 9
Answer:
the answer is 79
Step-by-step explanation:
hoped I helped:)
Please help. I attached the file below
Answer:
33.2
Step-by-step explanation:
41.5÷1.25=
33.2
Answer:
31.6 or 31 6/10 or 31 3/5
Step-by-step explanation:
39.5/1.25 = 31.6
Jack gets 31.6 miles per gallon.
.25 = 1/4
.5 = 1/2
how do you cauculate net change
Answer:
You can calculate net change by subtracting the current day's closing price for an asset from the closing price of the previous day!
Step-by-step explanation:
(What net change is) The net change theorem states that when a quantity changes, the final value equals the initial value plus the integral of the rate of change. Net change can be a positive number, a negative number, or zero.
NOT MY ANSWER OR WHATEVER I GOT IT FROM G0OGLE
.Abby, Neil and Dylan share a sum of money in the ratio 2:4:5 Neil receives £60 Work out how much money Dylan receives.
Answer:
Dylan should receive £75
Step-by-step explanation:
We know that
Abby, Neil, and Dylan share money in the ratios 2:4:5
This means that for every £2 that Abby has, Neil has £4, and Dylan has £5.
From this, we also know that for every £4 that Neil has, Dylan has £5.
Now we know that Neil receives £60
For each group of £4, Dylan will have £5.
Then we need to count how many times £4 is on £60, this is equal to:
£60/£4 = 15
And for each one of these, Dylan should receive £5, this is:
15*£5 = £75
what is 9/32 + 7/8 plz help
Answer:
1 5/32
Step-by-step explanation:
First, find common denominators. What you do to the denominator, you must do to the numerator.
First, multiply 4 to both the numerator and denominator of the second fraction:
(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32
Next, add across:
9/32 + 28/32 = 37/32
Simplify. Turn the improper fraction into a mixed fraction:
37/32 = (32 + 5)/32 = 1 5/32
1 5/32 is your answer.
~
Answer:
37 /32
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 32 is 32
For the 1st fraction, since 8 × 4 = 32,
7 /8 = 7 × 4
8 × 4 = 28 /32
Likewise, for the 2nd fraction, since 32 × 1 = 32,
9 /32 = 9 × 1
32 × 1 = 9 /32
Add the two fractions:
28 /32 + 9/32 = 28 + 9 /32 = 37 /32
So, 7/8 + 9/32 = 37/32
In mixed form: 1 5 /32
Please mark as brainliest!
At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall, at what time will the snow reach the very top of Dario's front door?
30 POINTS PLUS BRAINLIEST!!!
Answer:
Step-by-step explanation:
at 9:00AM starts snowing, 84/6=14
9:00 AM..........................0 inches
10:00AM..........................6inches
11:00AM...........................12 inches
12:00PM...........................18 inches
.......................................................
11:00PM..............................84 inches
_% of 20=18
What goes in the "_"?
Answer:
90
Step-by-step explanation:
the missing blank is 90
What is 65% of 20?
ye
Answer:
13
Step-by-step explanation:
x/20 = 65%/100
20 x 65 = 1300
1300 divided by 100 = 13
Answer:13
First you have to turn the percent into a decimal, and then multiply it by the original number.
✓
(4x2 + 2x + 1) + (3x2 + 4x + 1)
yes its correct you're very smart
5 quarts for every 2 pounds. How many quarts per pound?
Answer:
2.5 righttttt?????I veeeerrrry sure it is
Solve 3x - 5 = 16
Write your solution starting with x= .
Answer:
x =7
Step-by-step explanation:
To solve this, you must get x by itself.
3x-5 = 16 1. Add 5 on both sides
3x = 21 2. Divide by 3 on both sides
x = 7