Answer:
[tex]63.709feet[/tex]
Step-by-step explanation:
This deals with the distance between two pointsuse the equation [tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] So we do the follow stepsFind distance from Rosa to Shelter houseFind distance from Rosa to Fossil exhibitSubtract the two answers to see differenceSo distance from Rosa to Shelter, we use (1,-1) and (-2,-4) so you plug your points in as follows [tex](1,-1)=(x_1,y_1)[/tex] and [tex](-2,-4)=(x_2,y_2)[/tex] so then[tex]distance=\sqrt{((-2)-(1))^{2}+((-4)-(-1))^{2}}\\ distance=\sqrt{(-3)^{2}+(-3)^{2}}\\ distance=\sqrt{9+9}\\ distance=\sqrt{18}=4.24264[/tex] approximately (round off as they require)Now putting that into feet [tex]4.24264*100feet=424.264feet[/tex] Then next, distance from Rosa to Fossil exhibit, we use (1,-1) and (3,2) so you plug your points in as follows[tex]distance=\sqrt{((3)-(1))^{2}+((2)-(-1))^{2}}\\ distance=\sqrt{(2)^{2}+(3)^{2}}\\ distance=\sqrt{4+9}\\ distance=\sqrt{13}=3.60555[/tex] approximately (round off as they require)Now putting that into feet [tex]3.60555*100feet=360.555feet[/tex] So right away we know, Rosa is closer to the Fossil exhibit than the ShelterThen to know by how much we subtract the longer distance from the shorter so [tex]424.264feet-360.555feet=63.709feet[/tex]Rosa is closer to fossil exhibit than shelter house.
What is Distance Formula?The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is
PQ = √c-a )² + (d-b)²
The distance from Rosa to shelter house
d= √(-2-1)² + (-4 +1)²
d =√9 + 9
d = √18
d = 4.24
and, the distance from Rosa to fossil exhibit
d= √(3-1)² + (2+1)²
d =√4 + 9
d= √13
d= 3.6
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What is the equation of the line that passes through the points (-2, 4) and (0,10)?
Answer:
y = 3x + 10
Step-by-step explanation:
first use slope formula:
[tex]\frac{4-10}{-2-0}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
then plug that and the y-intercept into y = mx + b
Answer:
y = 3x+10
Step-by-step explanation:
hope this helps
Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)
Answer:
y = 3x - 11
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = 3x + b Input Slope
Step 3:
- 5 = 3 ( 2 ) + b Input x and y values
Step 4:
- 5 = 6 + b Multiply
Step 5:
- 11 = b Subtract 6 on both sides
Answer:
y = 3x - 11
Hope This Helps :)
A road construction company can repair 1/4 mile of road each day. Road X is 7 ½ miles long, and Road Y is 5 ¾ miles long. How many more days will Road X take to repair than Road Y? Answer value
Answer: 7 days
Step-by-step explanation:
From the question, we are informed that a road construction company can repair 1/4 mile of road each day. We are further told that Road X is 7 ½ miles long. The number of days that it'll take to repair road X will be:
= 7 1/2 ÷ 1/4
= 15/2 × 4/1
= 30 days
Road Y is 5 ¾ miles long. The number of days that it'll take to repair road Y will be:
= 5 3/4 ÷ 1/4
= 23/4 × 4/1
= 23 days
The difference in the number of days that Road X take to repair than Road Y will be:
= 30 days - 23 days
= 7 days
(giving brainliest :)) help please!) Which expression uses the commutative property to make it easier to evaluate 2/3 x 2/4 x 27
Answer:
2/3 x 27 x 1/4
Step-by-step explanation:
ANSWER quickly
According to the credit calendar below, what is the average daily balance?
Answer: 22,040/30= 734.666666667
Step-by-step explanation:
As per linear equation, the average daily balance on the given credit calendar is $716.17.
What is a linear equation?A linear equation is an equation where the highest degree of the variable is one.
Given, the daily balances for the given 30 days are $640, $640, $640, $640, $640, $640, $640, $640, $765, $765, $765, $765, $765, $820, $820, $820, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720.
Therefore, the total balance in the given 30 days period is = [$640 × 8 + $765 × 5 + $820 × 3 + $720 × 14] = $21485.
Now, the average daily balance = $[tex]\frac{21485}{30}[/tex] = $716.17
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the edge of a cube whose total surface area is 384 sq.cm is _cm
1)80
2)8
3)64
Solve for x. 2.5x=50
Answer:
x=20
Step-by-step explanation:
2.5x=50
[tex]\frac{2.5}{2.5} =\frac{50}{2.5}[/tex]
x = 20
Have a great day!!!!
PumpkinSpice1
the solution to the equation 2.5x = 50 is x = 20.
To solve the equation 2.5x = 50 and find the value of x, we can divide both sides of the equation by 2.5. By doing so, we eliminate the coefficient of x and isolate the variable.
Dividing both sides by 2.5, we have:
(2.5x) / 2.5 = 50 / 2.5
Simplifying, we get:
x = 20
Therefore, the solution to the equation 2.5x = 50 is x = 20. When we substitute x with 20 in the equation, we have 2.5 * 20, which indeed equals 50. Thus, x = 20 satisfies the equation, and it represents the value that makes the equation true.
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AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?
Answer:
64.8°
Step-by-step explanation:
A
Please see attached a rough sketch for your reference
Step one:
Given data
the distance you are standing from the building represent the adjacent =400ft
and the height of the building represents the opposite= 850ft
Step two:
Required is the angle of elevation
applying SOH CAH TOA
Tan ∅= opp/adj
Tan ∅= 850/400
Tan ∅=2.125
∅=Tan-1(2.125)
∅=64.8°
The angle of elevation 64.8°
You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.
The measurement of angle of elevation is [tex]64.798^\circ[/tex]
What is angle of elevation?
What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.
Similarly, there is angle of depression when the observer looks down.
See the figure attached below to understand the symbols used in calculations.
Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).
Let you're standing on point O
Let the building's base is point A.
Let the top of the building is tagged as point E.
Then we have:
Length of OA = 400 ft.
Length of AE = 850 ft.
To find: angle AOE.
By using the trigonometric ratio tangent, we get:[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]
Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]
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50% of the tickets sold at a school carnival were early-admission tickets. If the school sold 22 tickets in all, how many early-admission tickets did it sell?
Answer:
11
Step-by-step explanation:
50% of 22 is 11
122 students choose to attend one of three after school activities: football, tennis or running. There are 66 boys. 46 students choose football, of which 23 are girls. 18 students choose tennis. 28 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:
29/61
Step-by-step explanation:
okay, first imma simplify the question a little bit.
122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.
okay now let's find the number of students who chose running
122 - 46 - 18 = 58
now, I'll find the probability
P(Running) = 58/122 = 29/61
Topic: Probability
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
what is 0.16(line over six) in reduced form
Answer:
1/6
Step-by-step explanation:
hope this helps.
ok I got it but I think im not sure plsss help!!!
Answer:
7 and 8: these are both proportional relationships because they grow at a constant rate of change
9: for every 40 miles that the car travels, it uses 2 gallons of gas.
10: y= 20x
11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.
If it is supposed to be 33 degrees Fahrenheit on Monday morning, how many degrees in Celsius will that be? (Hint: 32 degrees Fahrenheit= 0 degrees celsius) Do you know what the conversion formula is to change Fahrenheit to Celsius?
Answer:
.6 Celsius
Step-by-step explanation:
actual answer given was .555556 but simply round up
I hope this helps you
Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP
identifying slopes pls help
Answer:
That is a negative slope
Step-by-step explanation:
Hope this helps
Yooooooo somebody help me...
Answer:
B
Step-by-step explanation:
Kayla walks at a constant speed from her house to school 3.2 miles away. It takes her 45 minuets to get to school. How many miles did Kayla walk in 25 minuets.
A) 2.4 miles
B) 3.2 miles
C) 1.8 miles
D) 0.5 miles
9514 1404 393
Answer:
c) 1.8 miles
Step-by-step explanation:
Assuming Kayla walks at a constant speed, we have ...
miles/minutes = 3.2/45 = x/25
x = 25(3.2/45) = 1.777... ≈ 1.8 . . . . miles
Kayla walks about 1.8 miles in 25 minutes.
Answer:
C) 1.8 miles
Step-by-step explanation:
Let's use the elimination process for this one. 2.4 and 3.2 are way too large. 0.5 is too small, so the answer is c
Write 4/14 in simplest form
Answer:
2/7
Step-by-step explanation:
14/2=7. 4/2=2 .2/7 is the answer
Answer:
2/7
Step-by-step explanation:
Divide by 2
4 divided by 2 is 2
14 divided by 2 is 7
So 2/7 is the simplest form
Hope this helps :)
What equation represents the function?
Answer:
I think its B the line is so going decreasing
Step-by-step explanation:
Write 750% as a decimal and as a fraction in simplest form
Which is the largest 96.145, 96.2 or 96.19
Answer:
96.2
Step-by-step explanation:
set them as 96.145 96.200 96.190 then you will know 96.2 is the largest
Answer:
96.2
round all the numbers.. 96.145 --> 96.15, 96.2--> 96.2, 96.19-->96.2
Help question below please and thank you i will give brainliest
Answer: angle V = 41 degrees (choice B)
======================================================
Explanation:
We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.
Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.
Let z be the measure of angle UTV. Note how
(angleSTR)+(angleUTV) = 180
60+z = 180
z = 180-60
z = 120
Making angle UTV to be 120 degrees
------------------------------------
Now we can focus on triangle UTV since we have expressions for each interior angle
U = 4x-9T = 120V = 5x+6Add up those angles, set the sum equal to 180, solve for x
U+T+V = 180
(4x-9)+(120)+(5x+6) = 180
9x+117 = 180
9x = 180-117
9x = 63
x = 63/9
x = 7
Use that x value to find the missing angle measures
angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees
angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees
Note how
U+T+V = 19+120+41 = 180
which helps confirm our answer.
Answer: angle V = 41 degrees (choice B)
Step-by-step explanation: plz give brainliest
A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount.
What is the probability that none of the coupons reveal a discount of 50%?
Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k
Round to 3 decimal places.
The probability that none of the coupons reveal a discount of 50% is 0.28.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Binomial distribution states that,
P = [tex]^nC_kp^k q^{n - k}[/tex]
Now,
30% of the coupons will reveal a discount of 50%.
This means,
p = 30% = 0.3
q = 70% = 0.7
Now,
Select 10 coupons:
n = 10
Now,
The probability that none of the coupons reveal a discount of 50%.
[ None means k = 0 ]
So,
P(k) = [tex]^nC_kp^k q^{n - k}[/tex]
P(0) = [tex]^{10}C_0(0.3)^0 (0.7)^{10 - 0}[/tex]
P(0) = 10 x 1 x 0.028
P(0) = 0.28
Thus,
The probability that none of the coupons reveal a discount of 50% is 0.28.
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Answer:
.028
Step-by-step explanation:
Edge 2023
Are the polygons similar? If they are, write a similarity statement and give the scale factor. will make brainiest
Answer:
the first dot
Step-by-step explanation:
The polygons are not similar.
a lines slope is 1/3 and its y intercept is -6, what is this equation in slope intercept form?
Answer:
y=1/3x-6
Step-by-step explanation:
w/3 =9
what is w ? W=____
Answer:
27
Step-by-step explanation:
27÷3 = 9
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l
Answer:
the answer is 27 i told u this but need points
Step-by-step explanation:
89 divide 8 in decimal
State the slope of the line.
-2
1
0
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The answer for the slope of the line is 0 zero
£310 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as June. How much does Nick get?
ill mark first person brainliest
nick gets 1800 pounds. Hope it helps
Answer:
Nick gets 93 pounds
Step-by-step explanation:
June gets X
Nick gets 3X
Angad gets twice as much as Nick, so 2*(3X) = 6X
X+3X+6X=310
X= 31
We check
June gets 31 pounds
Nick gets 93 pounds
Angad gets 93x2 = 186 pounds
31+93+186 = 310. It's correct!
Help plz ASAP helppppp
Answer:
Same-side interior angles
Step-by-step explanation: