Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the distance in miles that the first
bicyclist rode if they are 3/2 miles apart after riding
for 1 hour at the same speed.
Answers
Answer:
Step-by-step explanation:
See attachment.
If both cyclists travel for the same time and speed, they will have travelled the same distance. Since one is headed north and the other east, we can see that the distance between them in one hour is the hypotenuse of a right triangle. Each leg has distance x. We can say x^2 + x^2 = (3[tex]\sqrt{2}[/tex])^2
2x^2 =1 8
x^2 = 9
x = 3
They both rode 3 miles.
Related Questions
Consider the graph of the equation y=(x–9)? – 7. Compared the graph of y=x”, how has the vertex been shifted (left/right and/or up/down) and by how many units?
Answers
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
Does the point (7,7) satisfy the equation y =8x?
Answers
Answer:
no
Step-by-step explanation:
y = 8x
Try (7, 7).
Is 7 = 8(7)?
Is 7 = 56?
The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.
Tell whether the ordered pair is a solution to the system.
(-1, -2) 3x + 5y = 3
-9x - 8y = -9
no
yes
Answers
Answer:
no
Step-by-step explanation:
no. substitute -1 for x and -2 for y.
the first one is -1 - 10
this equals -11 not 3
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?
Answers
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
Answers
Find the value of x
6.1 - angles of polygons
Answers
Answer:
x = 46°
Step-by-step explanation:
The sum of interior angles = (n-2) × 180°
= (5-2) × 180°
= 540°
2x+3x+3x-4+3x+x-8 = 540°
12x = 552°
x = 46°
Help plz im on a timer at school
Answers
Answer:
it is reduction so the answer is B.
Step-by-step explanation:
A leaking tap wastes 3,750 ml of water in 1 hour how much water will be wasted in a day??
Answers
Answer:
90,000
Step-by-step explanation:
3750ml/hr *24 hrs
Therefore, A leaking tap will waste 90000 ml in a day.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Multiply (x^2+3x+5)(2x^2-2x+1
Answers
Answer:
2x^4+4x^3+5x^2-7x+5
Step-by-step explanation:
please help me, and be nice, don't be a jer.k (you know who you are..)
ty :)
Answers
Answer:
y=-1/2x+3
Step-by-step explanation:
Step-by-step explanation:
Subtract x both sides
2y = 6 + (-x)
Divide by 2 both sides
y = 3 + (-1/2x)
y = -1/2x + 3
determine if the two triangles are congruent.If they are state how you know
Answers
9. yes, 2 congruent sides
10. no
11. yes, 1 congruent side and angles
12. yes, 1 congruent side and angles
13. yes, 1 congruent side and angles
14. yes, 2 congruent sides
15. yes, congruent sides and angles
16. yes, congruent angles and sides
A. -78
B. 49
C. 53
D. 14
Answers
Answer: 49
Step-by-step explanation:
What's the y-intercept?
Answers
Answer:
-9 would be your y-intercept
Step-by-step explanation:
Have a great rest of your day
#Nova
if i have decent grades, but miss a lot of school
will they fail me???
Answers
Answer:
I think it's no
Step-by-step explanation:
because you will study hard
PLEASE HELP QUESTION IN PICTURE
Answers
Answer:
y=4x+5
Step-by-step explanation:
Find a quadratic model in standard form for the set of values.
(-2, 18), (0, 4), (4, 24)
Answers
4x^2 + 2x - 4
Hope this helps
What is the answer to 7-x²
Answers
Answer:
7-1x^2
Step-by-step explanation:
what is 5.56 s divided by 6.42 S
Answers
Answer:
0.86
step by step explain:
first you want to get a calculator and you want to put in 5.56 divide 6.42
Answer:
= 0.866
Step-by-step explanation:
By moving the decimal point two places to the right, you can convert the divisor 6.42 to a whole number. Then, in the dividend, move the decimal point two places to the right.
Then we have the equation: 556 ÷ 642 = 0.866
and therefore: 5.56 ÷ 6.42 = 0.866
both calculated to three decimal places.
Equation:
The actual equation is attached below as an attachment.
Message:
Hope this helps! I am not the best at math, so sorry if I got it wrong.
Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61
Answers
Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you
Step-by-step explanation:
Determine the intercepts of the line.
Answers
Answer:
y intercept= 12
x intercept = 4
Step-by-step explanation:
It is just one interception because the equation is linear
pls help me with my maths if you can
Answers
A) R- d✖️5= x
B) m/4 - b = x
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)
Answers
Answer:
f(x) = x+9
g(x) = 2/x^2
Step-by-step explanation:
I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.
Can someone help me on this question? The question is down below...
Answers
Answer:12m
Step-by-step explanation:
Because you are given that this is a right angled triangle, you can apply the pythagoras theorem where a^2 = b^2 + c^2
15^2 = 9^2 + x^2
225-81 = x^2
144 = x^2
x = 12m
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answers
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
:) Help please..........................
Answers
Answer:
Both are false
Step-by-step explanation:
When you dilate something by a number >1 it gets larger.
answer this for 10 points
Answers
Answer:
1 2 5 and 6
Step-by-step explanation:
Please help! I need answers
Answers
Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Represent the time the Hill family and the Moore family use the sprinkler with H and M.
So, the total time is:
[tex]H + M = 60[/tex]
And the rate is:
[tex]25H + 20M = 1325[/tex]
Make H the subject in [tex]H + M = 60[/tex]
[tex]H= 60 - M[/tex]
Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]
[tex]25(60 - M) + 20M = 1325[/tex]
Open brackets
[tex]1500 - 25M + 20M = 1325[/tex]
Collect like terms
[tex]- 25M + 20M = 1325 - 1500[/tex]
[tex]- 5M = -175[/tex]
Divide both sides by -5
[tex]M = 35[/tex]
Recall that:
[tex]H= 60 - M[/tex]
So, we have:
[tex]H = 60 - 35[/tex]
[tex]H = 25[/tex]
Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Read more about system of equations at:
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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answers
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
Please help me with this problem!
Answers
Answer:
57 degrees
Step-by-step explanation:
It is an isosceles triangle because QP has the same length as OP. So the base angles will be the same.
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star
Answers
By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.
[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]Reasons
The given parameters are;
The distance from the star to the Sun = d
The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees
The average distance from Earth to the Sun = 1 AU
By trigonometric ratios, we have;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]
Therefore;
[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]
The expression to calculate for d for any star is therefore;
[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]The angle given for θ for the referenced star is θ = 0.00001389
Therefore;
[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]
Learn more about trigonometric ratio here:
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