16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answers
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
Related Questions
?.....helpp lolllll helpppp
Answers
Answer: the answer is F
Step-by-step explanation: the pictures that are used for the yearbook are added to the picture for the paper which results in 450, the 270 is on top because it’s the pictures for the yearbook
Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST
Answers
Answer:
Y=2x- 5
-----
2
Step-by-step explanation:
Pls help, I need (c) of the problem 3-106
Answers
Answer:
Negative x minus two
Step-by-step explanation:
3 - (x + 5)
Distribute the negative sign:
3 - x - 5
Simplify:
-x - 2
In words:
Negative x minus two
If you type 30 words per minute, what is the words per minute ratio?
Answers
Answer:
30:1
Step-by-step explanation:
If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.
Find the total surface area of these solids
Answers
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
help help help pls I have to do it
Answers
What’s pemdas and how do we use it ?
Answers
Answer:
pemdas is an order of operation
Step-by-step explanation:
PEMDAS STANDS FOR parentheis, exponents, multiplication, division, addition, and subtraction. it is the order of how you should solve multi step equations EXAMPLE: 1+2x2 FIRST you have to multiply the 2x2 because multiplication comes first in PEMDAS, then you do the addition so 2x2=4+1=5
PEMDAS is the order that you solve a problem.
PEMDAS stands for:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
If you have an equation or expression that you need to solve, you solve it in this order. You do the parenthesis first, then you solve the exponents, then you do the multiplication and division from left to right, and last you do addition and subtraction from left to right.
In the equation
2 + 3 * 5,
first you would do 3 * 5 because multiplication is before addition.
2 + 15
Then you would do the addition to get the answer:
17.
Please give brainliest
What is the value of
this expression? [2x(3x5)+6]x4
Answers
Answer:
144
Step-by-step explanation:
(2*(3*5)+6)*4:
First, we simplify the 3*5.
(2*(15)+6)*4
Next, we multiply by 2.
(30+6)*4
We add the six now.
36*4
Finally, we multiply.
144-7/8 divided by 9/8
opl;bgklkgmhglkhnjknjkgnh kjhngkhjngkjhn
Answers
Answer:
77/8
Step-by-step explanation:
Imma need a really quick answer im on a real tight clock
Answers
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
One yard of ribbon costs $0.49, and 3 yards of ribbon costs $1.49. Which is the better buy?
Answers
$0.49 ?
.........................................
Answer:
I think the better one is $1.49
Step-by-step explanation:
That's just my opinion
Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 69 stocks traded on the NYSE that day showed that 31 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of α = 0.05 α = 0.05 . What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α α greater than α α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient evidence to warrant rejection of the claim that the proportion of stocks that went up is more than 0.3. The sample data support the claim that the proportion of stocks that went up is more than 0.3. There is not sufficient sample evidence to support the claim that the proportion of stocks that went up is more than 0.3.
Answers
Testing the hypothesis, it is found that:
The test statistic is 2.71.The p-value is 0.0034.The p-value is less than [tex]\alpha[/tex]The test statistic leads to a decision to reject the null hypothesis.The sample data support the claim that the proportion of stocks that went up is more than 0.3.At the null hypothesis, we test if the proportion of stocks that went up is of 0.3, that is:
[tex]H_0: p = 0.3[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 0.3, that is:
[tex]H_1: p > 0.3[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.3, n = 69, \overline{p} = \frac{31}{69} = 0.4493[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4493 - 0.3}{\sqrt{\frac{0.3(0.7)}{69}}}[/tex]
[tex]z = 2.71[/tex]
The test statistic is 2.71.
The p-value is the probability of finding a sample proportion of 0.4493 or above, hence, it is 1 subtracted by the p-value of z = 2.71.
Looking at the z-table, z = 2.71 has a p-value of 0.9966.
1 - 0.9966 = 0.0034
The p-value is 0.0034.
Which is less than [tex]\alpha[/tex], and then the test statistic leads to a decision to reject the null hypothesis, and thus:
The sample data support the claim that the proportion of stocks that went up is more than 0.3.
A similar problem is given at https://brainly.com/question/25413788
In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph
Answers
Answer:
You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.
Step-by-step explanation:
Given minimum and maximum data entries and the number of classes min = 75, max = 280, 10 classes. Write the first five lower class limit.
Answers
The lower class limit is simply the least data element that can enter a class.
The first five lower class limits are: 75 , 96, 117, 138 and 159
The given parameters are:
[tex]\mathbf{Min = 75}[/tex]
[tex]\mathbf{Max = 280}[/tex]
[tex]\mathbf{Class = 10}[/tex]
Calculate the range
[tex]\mathbf{Range = Max - Min}[/tex]
[tex]\mathbf{Range = 280 - 75}[/tex]
[tex]\mathbf{Range = 205}[/tex]
Divide by the number of classes, to determine the class width
[tex]\mathbf{n =\frac{205}{10}}[/tex]
[tex]\mathbf{n =20.5}[/tex]
Approximate
[tex]\mathbf{n =21}[/tex]
So, the lower limits are:
[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]
[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]
Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159
Read more about lower class limits at:
https://brainly.com/question/7949481
Answer the following giving reasons or steps. A 175 degree angle is bisected . What are the values of the new angles formed ?
Answers
The values of the new angles formed measure 87.5° each.
Angles are formed by the intersection of two lines sharing a common endpoint.
Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.
Given a 175 degree angle is bisected, the measure of each angle is:
Measure of each angle = 175 / 2 = 87.5°
The values of the new angles formed measure 87.5° each.
Find out more at: https://brainly.com/question/1921910
Help me please!!!!!!!!!!!!!!!!!!
Answers
Answer:
d.
took the test
Step-by-step explanation:
if a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons
Answers
Step-by-step explanation:
One gallon = 25 miles
8 gallon= 25×8 miles= 200 miles
2/5 divided by 2/3 in simplest form
Answers
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
When dividing by fractions, you can instead invert the fraction and multiply:
[tex]\frac{a}{b}\div\frac{x}{y} =\frac{a}{b} \times\frac{y}{x}[/tex]
To answer your question:
[tex]\frac{2}{5} \div\frac{2}{3} =\frac{2}{5} \times\frac{3}{2} =\frac{2\times3}{5\times2}=\frac{6}{10}=\frac{3}{5}[/tex]
This and one more question, it’s now going to be put at much more points
Answers
Step-by-step explanation:
Number of stickers Rafael has left
= [tex]100 - 6s[/tex]
Substitute [tex]s = 7[/tex]into the expression.
[tex]100 - 6(7)[/tex]
= [tex]100 - 42[/tex]
= [tex]58[/tex]
HELPPP.!!!
Answer choices:
−y ≥ x + 4
−3x + 3y ≤ −9
−y ≤ 3x + 4
−3x + 3y ≤ −9
y ≤ −x − 4
−x − y ≤ − 4
y ≤ −x + 4
−4x + 4y ≤ 16
Answers
Step-by-step explanation:
the second option.
you see that the steeper line has a slope of -3 (when x increases by 1 grid point, y decreases by 3 grid points, that makes the slope ratio of y/x = -3/1 = -3).
the slope is always the factor of x in an equation of
y = ax + b
the only equation provided in the answer options with slope -3 is
-y <= 3x + 4
because when we transform this into the general firm above, we need to multiply both sides by -1 (which flips the inequality symbol, by the way) :
y >= -3x - 4
there you have it. no other equation here can be transformed into this.
as a control we also look at the second equation :
-3x + 3y <= -9
3y <= 3x - 9
y <= x - 3
this has a slope of 1 (so, x and y both increase by the same amount), and the y-inteecept is -3 (the y value when x = 0). that also fits the graph.
so, it is all correct.
Y=x-6 y=-x-+4
Substitute please.
Answers
Answer:
( 5 , − 1 )
Step-by-step explanation:
Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0
Leave your answer in the form y=mx+c
Answers
Answer:
y=-3x+5
Step-by-step explanation:
it parallel to 3x+y+2=0 => line is: 3x+y+c=0
It through (3;-4) => 3(3)+(-4)+c=0 <=> c=-5
Line is 3x+y-5=0 => y=-3x+5
Answer:
Since it’s parallel to 3x+y+2=0 then it must be of the form 3x+y+k=0. Since (3,-4) is on the line we have 0=3*3-4+k=k+5, therefore k=-5 and the equation is 3x+y-5=0
In the form y=mx+c this becomes y=-3x+5
Can anyone convert the following to an index expression:'
3=log6(216)
Answers
9514 1404 393
Answer:
6 = ∛216
Step-by-step explanation:
The equivalent exponential form is ...
6³ = 216
Then the index form is ...
6 = ∛216
Please help me
Thank you x
Answers
Answer:
l think that the answer is 56576
Please help me, If you do not know do not answer
Answers
Answers:
FunctionFunctionNot a functionNot a function=================================================
Explanation:
Relation 1 is a function because any input item in the domain leads to exactly one and only one output item in the range. If we had say 2 arrows coming from "chair", and pointing to two different outputs, then we wouldn't have a function. It's perfectly possible to use words in place of numbers when talking about functions. All that matters is that we have one input map to exactly one output. Relation 2 is a function for similar reasoning as relation 1. It's possible to have an output repeated and still have a function. Relation 3 is not a function. Why not? Because of the points (j,v) and (j,t). The input j leads to more than output (v and t at the same time). A similar issue happens with the input 's' also.Relation 4 is also not a function. The repeated input this time is -5 which maps to the outputs z and 'a' at the same time.3 and 4 are not.
Each different x can only have 1 y value.
PLZ HELP AND ANSWER QUICK Find the gradient of the line segment between the points (2,-3) and (-3,-8).
Answers
Answer:
1
Step-by-step explanation:
I assume you mean slope
(-3-(-8))/(2-(-3))=5/5=1
- You find a recipe for cookies. You want
to know how much sugar is in each cookie.
The recipe uses 3/4 cup of sugar and makes
one-dozen cookies. Find the amount of sugar
per cookie. Show unit rate work. Use fractions
not decimals.
Answers
Answer:
1/16
Step-by-step explanation:
3/4 ÷ 12
3/4 x 1/12
3/48 or 1/16
Hope this helps!
Answer:
1/16
Step-by-step explanation:
recipe uses 3/4 cup of sugar for one dozen cookies
3/4 cup ------ 12 cookies
x ------- 1 cookie
x * 12 = 3/4
x = 3/4 / 12
x = 3 / (4*12)
x = 1 / 4*4
x = 1/16
June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?
Answers
Answer:
rachel is 10
Step-by-step explanation:
45/3=15
15-5=10
Answer : 10
Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10
Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?
Answers
The second percentage increase in price is 300%.
Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.
Let's assume that the price of an item is $100.
This year prices are 6 times the original price. This means that prices are $600 ($100 x6).
Increase in prices after the 50% increase = (1.5 x 100) = $150.
Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%
A similar question was answered here: https://brainly.com/question/11839495
Answer:
300%
Step-by-step explanation:
how fast is a skater traveling in meters per second if they are moving at a rate of 5.6 mile per hour
2.51m/s
0.25 m/s
14.24 m/s
25.09 m/s
Answers
Answer:
2.51
step by step explanation:2.51 meters per second is the speed of skater traveling if they are moving at a rate of 5.6 mile per hour.
To convert from miles per hour (mph) to meters per second (m/s), we will need to use the following conversion factors:
1 mile = 1609.34 meters
1 hour = 60 × 60 = 3600 seconds
Given the skater's rate of 5.6 mph:
Speed in m/s
= (5.6 mph) × (1609.34 m/mile) / (3600 s/hour)
≈ 2.51 m/s
So, the skater is traveling at a rate of approximately 2.51 meters per second.
Learn more about speed here:
https://brainly.com/question/5082291
#SPJ3
