David leaves the house to go to school. He walks 200 meters west and
125 meters north. How far away is he from his starting point (the diagonal)?
Answers
200^2 + 125^2=C^2
40,000 + 15,625=C^2
55,625=C^2
Then just take the square root
C=235.8495
If the number needs to be rounded then 236 meters.
Related Questions
Tina has 10 packages of yarn to knit a scarf. She uses 1/3 package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answers
Answer:
30 inches
Step-by-step explanation:
She has 10 packages of yarn.
She uses 1/3 package of yarn for each inch of the scarf.
Therefore, 1 package of yarn will be 3 times each inch:
3 * 1 = 3 inches
1 package of yarn goes for 3 inches of scarf.
Therefore, 10 packages will go for:
10 * 3 = 30 inches
A long-distance delivery truck averages 8 miles per gallon when the truck is full. The miles per gallon improves by 20% when the truck is empty. Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me)?
Answers
Answer:
When the truck is full: [tex]g_{mf} = \frac{m}{8}[/tex]
When the truck is empty: [tex]g_{me} = \frac{m}{9.6}[/tex]
Step-by-step explanation:
When the truck is full for every eight miles traveled by the vehicle, there is a cost of one gallon of fuel, therefore for every mile the cost is one eight of a gallon, with this information we can create the following expression:
[tex]g_{mf} = \frac{m}{8}[/tex]
Where m is the number of miles traveled by the truck.
When the vehicle is empty, it's performance improves by 20 %, which means that for the same amount of fuel it'll travel a distance 120% of the previous one. Therefore we need to multiply 1.2 on the denominator of the last expression:
[tex]g_{me} = \frac{m}{8*1.2}\\\\g_{me} = \frac{m}{9.6}[/tex]
The expression represents the amount of gasoline used (g) is,
When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],
And when the truck is empty (me) is represented as, [tex]m_e = \dfrac{m}{9.6}[/tex]
Given that,
A long-distance delivery truck averages 8 miles per gallon when the truck is full.
The miles per gallon improve by 20% when the truck is empty.
We have to determine,
Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me).
According to the question,
The amount of gasoline used (g) in terms of the number of miles driven when full (mf),
And The distance delivery truck averages 8 miles per gallon when the truck is full.
The amount of gasoline when the truck is full is represented as,
[tex]m_f = \dfrac{m}{8}[/tex]
Then,
The miles per gallon improve by 20% when the truck is empty.
The number of miles driven when empty is represented as,
[tex]m_e = \dfrac{m}{8 + 8 \times 0.20}\\\\m_e = \dfrac{m}{8+ 1.6}\\\\m_e = \dfrac{m}{9.6}[/tex]
Hence, The expression represents the amount of gasoline used (g) is,
When the truck is full (mf) is represented as [tex]m_f = \dfrac{m}{8}[/tex],
And when the truck is empty (me) is represented as, [tex]m_e = \dfrac{m}{9.6}[/tex].
To know more about the Linear equation click the link given below.
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Which event is most likely to occur? *
A. Flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails.
B. Choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble being red.
C. Rolling a fair number cube, with faces labeled one to six, and the cube landing a number less than six.
D. Spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one.
Answers
Answer:
C. Rolling a fair cube, with faces labeled one to six, ans the cube landing a number less than six.
Step-by-step explanation:
A. flipping a fair coin, and the coin landing on tails, has only got a 50% chance
B. Picking a red marble has only got 10% chance
C. Rolling the cube and getting a number less than 6 has got 5/6 chance, as, from one to six, 5 numbers are less than six.
D. the spinning an arrow similation has only got a 75% chance.
since 5/6 is greater than 3/4, Simulation C is more likely to occur
The event which is most likely to occur is Rolling a fair number cube, with faces labeled one to six, and the cube landing a number less than six, correct option is C.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes.
We are given that;
A coin flip, bag of marbles, A fair number cube, an arrow spinner
Now,
The probability of an event is defined as the number of ways the event can occur divided by the total number of possible outcomes.
A. The probability of flipping a fair coin and getting tails is 1/2.
B. The probability of choosing a red marble out of a bag with nine blue marbles and one red marble is 1/10.
C. The probability of rolling a number less than six on a fair number cube is 5/6.
D. The probability of spinning the arrow on a spinner and landing on a number greater than one is 3/4.
Comparing the probabilities, we see that option C has the highest probability, with a probability of 5/6.
Therefore, by probability answer will be rolling a fair number cube and getting a number less than six is the most likely event to occur.
Learn more about probability here;
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What is 4575 rounded to the nearest thousand
Answers
Answer:
5000 because you round up
Answer:
5000
Step-by-step explanation:
you round up since the second number is higher then 4
jenny can walk 0.25 miles in 12 minutes.how far can she walk in an hour
Answers
Answer:
1.25 miles
Step-by-step explanation:
hour is 60 minutes
[tex] \frac{60}{12} = 5[/tex]
[tex]0.25 \times 5 = 1.25[/tex]
In Haley's favorite video game, players stack blocks to create buildings. Haley builds a fort shaped like a cube. Haley's fort has a length, width, and height of 9 meters. What is the volume of Haley's fort?
Answers
Answer:
729 cubic meters
Step-by-step explanation:
Volume of cube is given by side^3
where side is length of the side
Given in the problem
side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .
Thus,
volume of cube = 9^3 = 9*9*9 = 729
Thus, volume of Haley's fort is 729 cubic meters.
what is the value of x +when x=3?
Answers
Answer:
when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info
Step-by-step explanation:
Answer:
x=3
will still remain as the same
so you answer is x=3
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?
Answers
Answer:
The width is 11 units.
Step-by-step explanation:
First, you have to add 4 to 18 which is 22. Then divide by 2.
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
Which best describes the range of possible values for the third side of the triangle?
< 12.5, x > 18.9
12.5 < x < 18.9
x < 6, X > 26
6
26
Answers
Answer:
I'm not sure but I think the second one. 12.5 < x < 18.9
Step-by-step explanation:
Answer:
B. 12.5 < x < 18.9
Step-by-step explanation:
on edge
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Answers
Work Shown:
i = 20 = interest we want to earn
r = 0.05 = decimal form of the annual interest rate
t = 5 = number of years
P = i/(r*t)
P = 20/(0.05*5)
P = 80
Answer:
80
Step-by-step explanation:
i got it right
Find the shadow cast of a 10 foot lamp post when the angle of elevation of the sun is 58°. Find the length of the nearest tenth of a foot. please help
Answers
Answer:
Length of the shadow = 6.25 foot
Step-by-step explanation:
Given: A lamp post is of 10 foot
To find: length of the shadow cast of a lamp post when the angle of elevation of the sun is 58°
Solution:
Trigonometric ratios explain the relationship between the angles and sides of the triangle.
For any angle [tex]\theta[/tex],
[tex]tan\theta=[/tex] side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]
In ΔABC,
[tex]tanC=\frac{AB}{BC}[/tex]
Put [tex]AB=10\,\,foot\,,\,\angle C=58^{\circ}[/tex]
[tex]tan58^{\circ}=\frac{10}{BC}\\BC=\frac{10}{tan58^{\circ}}\\=\frac{10}{1.6}\\=6.25\,\,foot[/tex]
So,
length of the shadow = 6.25 foot
What is the mean absolute deviation of this data set?
4, 8 , 3, 8, 7, 10, 9
Answers
Answer: Mean Absolute Deviation (MAD): 7
Hope this helps u!
Have a good day and stay safe!
Answer:
7
Step-by-step explanation:
[tex]\frac{3+4+7+8+8+9+10}{7}[/tex]
[tex]\frac{49}{7}[/tex]
49 ÷ 7 = 7
if A=13 and B=10, find C. Pythagorean theorem.
Answers
Answer:
C = √269
C ≈ 16.4
Step-by-step explanation:
Use the Pythagorean Theorem to solve for 'c'.
[tex]a^2+b^2=c^2[/tex]
We are given:
'a' = 13
'b' = 10
Replace the variables with the appropriate values and solve for 'c':
[tex]13^2+10^2=c^2\\\rightarrow 13^2=169\\\rightarrow 10^2=100\\169+100=c^2\\269=c^2\\\sqrt{269}=\sqrt{c^2}\\\boxed {16.40122... = c}[/tex]
16.4012195 ≈ 16.4
C is about 16.4.
In the figure above circles with centre o and o' are externally tangent at P. I f OA= 5 is a tangent to circle centre o', the area of rectangle oklm is Brainly
Answers
Answer:
give me points pls
Step-by-step explanation:
how do you rotate this for it to look the same.
Answers
Answer:
90°
Step-by-step explanation:
when u rotate it up to 90° I think it will look the same
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Let's take each one of those answers and test it against the graph.
"Greater app price always relates to greater profit."
***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.
"Greater app price relates to greater profit as long as the app's price is more than about $7."
***As we just saw in the above statement, this is not true.
"The largest possible profits the company can make is 7 million dollars."
***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.
"The largest possible profit the company can make is about 40 million dollars."
***From above, we know that this is true.
The only true statement is the last one.
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answers
Answer:
-10
Step-by-step explanation:
-(x-5) ^2+25
-x+5^2+25
-5 -5
-x^2+20
-2x+20
---- ----
-2 -2
x=-10
// have a great day //
Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 3) and (4, 2). y = negative 0.1 x minus 5 A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 0, 0.5, 1.0, 1.5, 2.0. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 6, negative 2, 1, 7, 9. Column 2 is labeled y with entries 6.6, 4.2, 2.4, negative 1.2, negative 2.4.
Answers
Answer:
Its answer d
Step-by-step explanation:
I took the quiz
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28.
A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, and 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, and negative 28.
The answer is option D.
What is the slope of a linear function?Slope measures the rate of change in the dependent variable as the independent variable changes. The greater the slope the steeper the line. Consider the linear function: y = a + bx. b is the slope of the line.
What does a steeper slope mean?A steeper slope in a graph means that the rate of change is faster.
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Solve for q.
0.48 + 5.7q = 6.3q
q =
Answers
Answer:
[tex] \boxed{q = 0.8} [/tex]
Step-by-step explanation:
[tex] = > 0.48 + 5.7q = 6.3q \\ \\ = > 6.3q = 5.7q + 0.48 \\ \\ = > 6.3q - 5.7q = 0.48 \\ \\ = > 0.6q = 0.48 \\ \\ = > q = \frac{0.48}{0.6} \\ \\ = > q = 0.8[/tex]
Answer:
q = 0.8
Step-by-step explanation:
isolate the variable and solve
12 less than a number y
Answers
Answer: y- 12
Step-by-step explanation:
12 is less than y so is like 12 being subtracted from y.
In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees are in the measure of $\angle H$?
Answers
Answer:
H = 120°
Step-by-step explanation:
The sum of the internal angles of a polygon with n sides is given by the formula:
S = (n-2)*180
So, for a pentagon, we have n = 5, then:
S = (5-2)*180 = 540°
So we have that:
M + A + T + H + S = 540° (eq1)
M = T = H (eq2)
A + S = 180° (eq3)
Using the second and third equation in the first one, we have:
H + H + H + 180 = 540
3H = 360
H = 120°
Assigned Media
Skill Builder
X 2.4.75
The telephone company offers two billing plans for local calls. Plan 1 charges $36 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2
b. Explain the meaning of the answer to part a.
Answers
Answer: a. 36-17 <0.04x ⇒ 475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The cost of plan 1 (36) must be less (<) than the cost of plan 2 (fixed charge [17] plus the product of the charge per call [0.04] and the number of calls [x] )
a.36 < 17+ 0.04x
Solving for x
36-17 <0.04x
19 < 0.04x
19 /0.04 <x
475 < x
b. When the number of calls is higher than 475 , Plan 1 is more economical than Plan 2.
Kurt's truck uses 12 gallons of gas to travel 156 miles. He has 6 gallons in the tank. How much more gas will he need to drive 351 miles?
Answers
Answer:
it will be 27 gallons
Step-by-step explanation:
if we take the gallons number is x
then x=[tex]\frac{351*12}{156}[/tex]
holp 4h+j, where h=−4 and j=−2
Answers
Answer:
-18
Step-by-step explanation:
We are given the expression:
4h+j
We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.
4(-4)+-2
4(-4)-2
Solve according to PEMDAS
Multiply 4 and -4
-16-2
Subtract 2 from -16
-18
Answer: 4(-4)+(-2)=-18
Step-by-step explanation:
Boris eats 1/5 of the cake. Maziy eats one fifth of the cake. Sanjay and Silas eat 1/5 of the cake And jack also has 1/5 of the cake is there any cake left?
Answers
Answer:
Yes.
Step-by-step explanation:
We have to first find how much of the whole cake (1) that they all ate.
Boris eats 1/5 of the cake.
Maziy eats 1/5 of the cake.
Sanjay and Silas eat 1/5 of the cake.
Jack also has 1/5 of the cake.
The total fraction of cake eaten was:
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Therefore,the fraction of the cake left is:
1 - 4/5 = 1/5
Yes, there is cake left.
convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)
Answers
Answer:
B
Step-by-step explanation:
Using the exact values
cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]
sin150° = sin30° = [tex]\frac{1}{2}[/tex]
Given
z = 4(cos150° + isin150° ) , substitute values
= 4(- [tex]\frac{\sqrt{3} }{2}[/tex] + [tex]\frac{1}{2}[/tex]i )
= - 2[tex]\sqrt{3}[/tex] + 2i , that is
(- 2[tex]\sqrt{3}[/tex], 2 ) → B
What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees
Answers
Answer:
m∠BCD = 82°
Option A
Step-by-step explanation:
The opposite angles of quadrilateral inscribed in a circle are supplementary.
i.e m∠A +m∠C = 180°
or, m∠BAD + m∠BCD= 180°
or, 98° + m∠BCD = 180°
or, m∠BCD = 180°-98°
or,m∠BCD = 82°
Answer: A - 82
Step-by-step explanation:
180 - 98 = 82
took the test and got it right.
This tally below shows the number of times that Jim and rob won games of checkers. What is the experimental probability that rob beats jim in future games? Jim: IIIIIIII ROB: IIIIII
Answers
These tables of values represent continuous functions. For whichfunction
will the y-values be the greatest for very large values of x?
PLEASE HELP!!!
Answers
I think it's B because it contains the highest numbers
Answer:
D
Step-by-step explanation:
The answer is D because every time x increase by 1, the y is tripling. Making it so that as x gets larger and larger, the y will become the larger than the other choices.
The number of viewers for a new television show are modeled by the following function, where V(t) represents the number of
viewers, in tens of thousands, and t represents the number of months since the show's debut.
V(t) = -8\n(t + 1) + 50
What does the y-intercept of V(t) represent?
Answers
Answer: 10000.23
Step-by-step explanation: