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
WILL GIVE BRAINLIEST
Answers
Answer:
you can do this unless x is given
Step-by-step explanation:
since we don't know what x equals this is practically impossible. so if u can put whay x equals in the picture
The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?
Answers
Answer:
15 or 15.546
Step-by-step explanation:
you add all the numbers then divide by 54
Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
Learn more about speed on:
https://brainly.com/question/4931057
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Which translation can be used to prove that figures two and three are congruent?
A) (x, y) —> (x, y - 4)
B) (x, y) —> (x - 3, y + 1)
C) (x, y) —> (x + 2, y)
D) (x, y) —> (x + 1, y - 3)
Answers
Answer: a I think
Step-by-step explanation:
Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.
Answers
A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]
The graph is given as:
[tex]y = \sqrt[3]{x}[/tex]
Rewrite the function as:
[tex]y = x^\frac{1}{3}[/tex]
The above function is the parent function of a cube root function, and it passes through point (0,0).
See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]
Read more about cube root functions at:
https://brainly.com/question/13793603
Answer: d on edge
Step-by-step explanation:
d
Basket A had 7 times as many plums as Basket B at first. Zoe put 58 more plums in each basket. Now Basket A has thrice as many plums as Basket B. How many more plums are there in Basket A than Basket B now?
Answers
Answer:
174 plums
Step-by-step explanation:
a=7b
a+58=3b
7b+58=3b
4b=58
b=14.5
29,203 earlier
87,261 now
261-87=174
Please answer 1 and 2
Will mark brainliest!!!!
Answers
Answer:
1. No they are not parallel
2. no they are not perpendicular
Step-by-step explanation:
1. the slope for p is 5/2 mean while the slope for o is 4/2 therefore they are not parellel because the slopes are different
2. the slope for m is 2/1 and the slope for k is 3/5. inorder for them to be parelle for slope for k would have to be -1/2 and m would be 2/1 OR the slope for k would be 3/5 and the slope for m would be -5/3
Please Help Me please
Answers
Answer:
the 3 one
Step-by-step explanation:
someone help!
what is y?
Answers
60
random stuff because the answer has to be 20 characters long
Answer:
y= 160°
Step-by-step explanation:
as we can see, the corresponding angles are both 20°
a straight line is 180°
180-20= 160
that's you're answer
evaluate p-q if p=14 and q=13
Answers
Answer:
Value of [tex]p-q=1[/tex]
Step-by-step explanation:
We need to find [tex]p-q[/tex]
[tex]p-q=14-13\\\\=1[/tex]
[tex]\huge\boxed{\sf{Hello\:there!}}[/tex]
We are asked to evaluate p-q.
Now, if we aren't given the value of every variable, evaluating this expression is impossible. However, we do have the value of p (14) and the value of q (13)
We plug these numbers instead of the variables:
p-q
p=14
q=13
14-13
1
Hence, the value of the expression is 1.
[tex]\huge\boxed{\sf{Hope\:it\:helps.\:Please\:mark\:Brainliest.}}[/tex]
[tex]\huge\bold{Good\:luck!}}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Answers
Answer:
Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units
Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units
Skills required: HS Geo, Special Triangles
Step-by-step explanation:
1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.
2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.
This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].
3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.
This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].
4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is
[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!
5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit
When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.
Write down a formula, using k, connecting the time taken to fall and the distance traveled.
Answers
Step-by-step explanation:
We know that in kinematics we can write the formula for uniformly accelerated bodies:
s = 1/2 a t^2 + v0 t + s0
In our case s0 (initial deployment) = 0m and v0 (initial velocity) = 0
So:
s = 1/2 a t^2
Now we isolate t:
t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]
All proportionalities are obvious.
Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.
QUICKKKKK DJWKCJKWFN
Answers
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)
Answers
Answer:
height 2 incheswidth 23 incheslength 29 inchesStep-by-step explanation:
For x=2, the dimensions are ...
height = x = 2 inches
width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches
length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches
The difference between a and 10 is less than 5
Answers
3+1=5
false or true
brailest and points
Answers
Answer:
FALSE
Step-by-step explanation:
PLZ MARK BRAINLIOEST
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answers
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 35 miles per hour. Against the wind, its air speed is only 445 miles per hour. hat is the speed of the wind?
Answers
Answer:
Step-by-step exklamatorisks:
Tank you
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answers
Answer:
Inverse Property of Multiplication
Step-by-step explanation:
Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
Answers
Answer:
a = 3
Step-by-step explanation:
Since x = 7 is a solution, substitute x = 7 into the equation and solve for a
4(7) - 2(7 + a) = 8 , that is
28 - 2(7 + a) = 8 ( subtract 28 from both sides )
- 2(7 + a) = - 20 ( divide both sides by - 2 )
7 + a = 10 ( subtract 7 from both sides )
a = 3
25 points! :)
Pretty simple question, just not sure how to do it.
Answers
ANSWER
-3 -2, 0, .5, 1, 100 for domain
0, 1.8, 10, 19, 77, 100 For Range
Step-by-step explanation:
Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet
emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.
Answers
Answer:
1/4 n - 3.
Hope this helps, sorry if it doesn't.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16
Answers
Answer:
y = -1/2x - 8
Step-by-step explanation:
You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.
2y = -x - 16
Now you want 1y instead of 2y. So divide everything by 2.
y = -1/2x - 8
can someone help me for this?
Answers
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answers
Answer:[tex]x^{-2}[/tex]
Have attached the solution below for better understanding of the question, hope that helps:
#2: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
Answers
===========================================================
Explanation:
Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.
(interiorAngle1) + (interiorAngle2) = exterior angle
(5x) + (2x+6) = 8x-11
7x+6 = 8x-11
6+11 = 8x-7x
17 = x
x = 17
----------------
Or the slightly longer method has you follow these steps:
y = missing interior angle in the upper right corner
The angle (8x-11) and angle y are supplementary
(8x-11) + (y) = 180
y = 180-(8x-11)
y = 180-8x+11
y = -8x+191
For any triangle, the three interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(5x)+(2x+6)+(-8x+191) = 180
-x+197 = 180
-x = 180-197
-x = -17
x = 17
Simplify for x: 2/3 = x-1/5
Answers
Answer:
x=13/15
Step-by-step explanation:
2/3=x-1/5
find LCD=15
10/15=x-3/15
add 3/15 to both sides
13/15=x
How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.
Answers
Answer:
1-12-x-+1
Step-by-step explanation:
so you divided 2 by 4 then 1 after that 12 and boom
The equivalent expression for 4(5−3x) is ( 20 - 12x).
What is distribution property?This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 4(5−3x). The expression by distribution property will be solved as,
E = 4(5−3x)
Multiply by 4 in the whole equation,
E = ( 4 x 5 - 4 x 3x )
E = 20 - 12x
To know more about distribution property follow
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How i can answer this questions
Answers
Answer:
B and C
Step-by-step explanation:
[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]
Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)
Answers
Answer:
B
Step-by-step explanation:
y = - x + 10 → (1)
y = 7x + 2 → (2)
Substitute y = 7x + 2 into (1)
7x + 2 = - x + 10 ( add x to both sides )
8x + 2 = 10 ( subtract 2 from both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 7(1) + 2 = 7 + 2 = 9
solution is (1, 9 ) → B