No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!
Answer:
150
Step-by-step explanation:
You need to add 60 to the 90 and then check it by doing 60% of 150.
Hope this helps.
Answer: 150 is the answer
Step-by-step explanation:
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
30 students apply for a scholarship,
10 have college degrees
18 have school certificates
8 have both qualifications.
(a) Draw a Venn diagram to show thi
information.
(b) How many students have no
qualification?
Answer:
A - school certificates
B - college degrees
So 30 - (10 + 8 + 2) = 10 have no qualification
6 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in customers per minute?
Answer:
3 minutes
Step-by-step explanation:
18 divided by 6 = 3 minutes
Hope this helps :)
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
find the output, y, when the input, x, is -5.
Answer:
y = -2
Step-by-step explanation:
When x = -5
Go to the blue line
y = -2
Answer:
There are 2 questions with the same question but with a different graph.
This graphs answer is -2.
But the other graph that people are confused about is 7.
Step-by-step explanation:
Hope this helps! :)
Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)
Answer:
you would go down 2 from the point
Step-by-step explanation:
Fond the equation of the line shown
Answer:
y+-1/2x-1
Step-by-step explanation:
The line is negative
It rises one digit and runs 2
and it crosses though -1 on the y axis
Solve: 5/9 + (-4/5)
Answer:
-11/45
Step-by-step explanation:
5/9 + (-4/5)
25/45 + (-36/45)
(Multiplied each side by opposite denom.)
25/45 -36/45
Simplify
25-36=-11
-11/45
Cannot simpfily
Answer:
Step-by-step explanation:
5/9 + (-4/5)
-11/45 or − 0.244444444 and on and on forever
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
Please help with this
Answer:
A
Step-by-step explanation:
Need help please owo with all of them
Answer:
d, c and a
Step-by-step explanation:
O///O
In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?
Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?
Please help!
Answer: 242.7 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
The first model has a height of 5 inches and a surface area of 80.9 square inches:
The proportion is : height/ surface area= 5 in / 80.9 in2
For a height of 15 inches
15 in/ x in2
So:
5/80.9 = 15/x
x= 15/ (5/80.9 )
x= 242.7 square inches
Feel free to ask for more if needed or if you did not understand something.
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
The price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
PLEASE HELP AGAIN, SORRY I SUCK AT MATH.
Answer:
C. 24 degrees
Step-by-step explanation:
All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.
120+36=156
Then subtract the sum of the known angles from 180 to find the degree of the unknown angle
180-156=24
Answer: C
Step-by-step explanation:
I'll explain why.
The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.
The sum of the angles (x+36+120) must be equal to 180 (=180)
x+36+120=180
Combine like terms
x+156=180
Subtract 156 to isolate x
x=180-156
x=24
233 is equal to r more than 48?
Answer:
R = 152
Step-by-step explanation:
what i did was if it is talking about more than 48 something plus 48 is 200 so
200 - 48 = 152
r = 152
so 200 is 152 more than 48
Hope this helpsBrainliest plzAsk any more math questions if you wantmath question down below screen shot
Answer:
the screen shoy isnt showing up
Step-by-step explanation:
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
Can someone help with this
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
A stack of 12 bricks is 27 inches high. How high is each brick?
Answer: 2.25 inches
Step-by-step explanation:
27/12= 2.25
Help please will give brainly! Clara’s friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us?
Answer:
The median is 88. The median shows that Brian gets on average 88% on his tests.
Step-by-step explanation:
If you put the numbers in order and get the average of the two middle number, it is 88.
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
What does the word ‘Denotation’ mean?
Answer: Depends on what your talking about so I'll give all 3 definitions.
Step-by-step explanation:
1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.
-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.
2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.
3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.
Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3
Answer:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
Answer:
x = 0.3
y = 5.3
z = 17.3
Step-by-step explanation:
add or subtract (7x^2-x-2)-(-6x^3+3)
Answer:
[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]
Step-by-step explanation:
[tex] \tt{}(7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]
[tex] \tt{}7 {x}^{2} - x - 2 + 6x^{3} - 3[/tex]
[tex] \tt{} {7x}^{2} - x - 5 + 6x ^{3} [/tex]
[tex] \tt{}6x ^{3} + {7x}^{2} - x - 5[/tex]
Answer:
[tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex]
Step-by-step explanation:
[tex](7 {x}^{2} - x - 2) - ( - 6 {x}^{3} + 3)[/tex]
➡️ [tex]7 {x}^{2} - 2 - ( - {6}^{3} + 3)[/tex]
➡️ [tex]7 {x}^{2} - x - 2 + 6 {x}^{3} - 3[/tex]
-2 - 3-(2 + 3)-5➡️ [tex]7 {x}^{2} - x - 5 + 6 {x}^{3} [/tex]
➡️ [tex]6 {x}^{3} + 7 {x}^{2} - x - 5[/tex] ✅
There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.
Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?
Answer:
12 because if you add 6 and 12
Step-by-step explanation:
hope it helps uou !!
Answer:
It's 12
Step-by-step explanation:
hope it helps you !!
what is the difference between - 21 and -8 on a number line?
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.