Answer:
He should travel directly
Step-by-step explanation:
Given
[tex]x = 0.5[/tex] --- East
[tex]y =1[/tex] --- North
If he goes through east north direction, the distance (d) traveled is:
[tex]d = x + y[/tex]
[tex]d = 0.5 + 1[/tex]
[tex]d = 1.5 mile[/tex]
If he travels directly, the distance (d) is:
[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem
[tex]d = \sqrt{0.5^2 + 1^2}[/tex]
[tex]d = \sqrt{0.25 + 1}[/tex]
[tex]d = \sqrt{1.25}[/tex]
[tex]d = 1.12mile[/tex]
By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]
Hence, he should travel directly
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 1212 feet apart.
How many trees can they plant on 22 miles of streets? 52805280 feet = 11 mile.
trees
Answer:
880
Step-by-step explanation:
What is the measure of angle y?
a- 55 degrees
b- 145 degrees
c - 72.5 degrees
d - 35 degrees
Answer:
72.5
Step-by-step explanation:
Angle X is congruent to 35
both angles y and angle x together form a line that equals 180
so for angles y, take 180 - 35 = 145
Angles y is 145/2
Help me with this please
What is the value of the expression (x – y)2 when x = 5 and y = -1
A. 36
B. 16
C. 4
D. 24
Answer:
36
Step-by-step explanation:
You are given an expression and values to be put into it.
Simply substitute the values in instead of [tex]x[/tex] and [tex]y[/tex].
[tex](x-y)^2[/tex]
When [tex]x=5[/tex] and [tex]y=-1[/tex]:
[tex](5-(-1))^2 = (5+1)^2=(6)^2=36[/tex] - Note: Be careful with negative signs here. Two negatives make a positive.
please help!! 40 points. if you guess or just comment to take my points i will make sure your account gets banned. thanks! i want a small simple explanation.
5) m<EBF= 474
6)m<ABC= 70
5) 20x-10= x+390
5) 20x-10 3x+15+60=474
20x-10=390
3x+15= 24
plug in the x into the equation: (x+20)---> (20x20)=400
400-10= 390
6) 3x+1+2x+14= 28
3x= 9
2x=4
plug in the x into the equation: (3x+1)----> 2x+14= 28
7 is a bit confusing...
8 G and F is confusing me sorry...
this was so fu-cking hard sorry it took long...
WILL MARK BRAINLIEST PLEASE HELP ASAP !!!
The figure below is a net for a square pyramid. What is the surface area of the square pyramid, in square inches?
What is -11 2/3 x (-4 1/5) = ?
Answer:
49
Step-by-step explanation:
-11 2/3 x (-4 1/5) =
negative times negative = positive
Change the mixed numerals into fractions.
= 35/3 × 21/5
Multiply the numerators together. Multiply the denominators together.
= (35 × 21)/(3 × 5)
Simplify.
= (7 × 5 × 7 × 3)/(3 × 5)
Divide the numerator and denominator by 3 and by 5.
= 7 × 7
= 49
what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall
Mr. Roundtree had 20 tickets. He gave 10 to his family and 8 to his friends.
Which expression has the greatest value? root(4, 64 ^ 2); root(3, 8 ^ 4); 16 ^ (1/3); sqrt(16 ^ 2)
Answer: 16 3/2
Step-by-step explanation:
Because the division bass and I did it for the nether and the internet it is not the same as it does it not like the earth or the internet or anything bad
Answer:
Step-by-step explanation:
What they said
i need some help plz
Answer:
x = 7
Step-by-step explanation:
*set equations = to each other since they're corresponding angles which are equal to each other*
15x - 5 = 13x + 9 --> *subtract 13x from both sides*
2x - 5 = 9 --> *add 5 to both sides*
2x = 14 *divde by 2 on both sides*
x = 7
check:
15 (7) - 5 = 13 (7) + 9
105 - 5 = 91 + 9
100 = 100
Will reward the best answer brainliest.
Use elimination method to solve
-3x + 3y = 4
-x + y = 3
The table shows the beverage preferences of 50 shoppers at the mall.
Beverage Survey
Beverage Number of
Shoppers
A
15
B
12
с
9
D
6
E
8
a. Write a probability distribution of the experiment.
b. Based on your distribution, what is the probability that one shopper, selected at random prefers either Beverage A or
Beverage C?
a. a.
Outcome A B С D E
Probability 0.3 0.24 0.18 0.12 0.16
b. 0.52
Mark this and return
Save and Exit
Next
Submit
The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.
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.
P(E) = Number of favorable outcomes / total number of outcomes
We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.
a. A probability distribution of the experiment.
The probability of selecting Beverage A is ;
P(A) = 15/50 = 0.3
The probability of selecting Beverage B is ;
P(B) = 12/50 = 0.24
The probability of selecting Beverage C is ;
P(C) = 9/50 = 0.18
The probability of selecting Beverage D is ;
P(D) = 6/50 = 0.12
The probability of selecting Beverage E is ;
P(E) = 8/50 = 0.16
b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.
P(A or C) = 15/50 + 9/50
P(A or C) = 24/50
Thus, P(A or C) = 12/25
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Write the exponential function represented by the tables below
Step-by-step explanation:
15. f(x) = 4 (3)^x
16. f(x) = 4 (2)^-x
find the surface of a square pyramid with a base edge 9 and slant height 6
Answer:
Surface area of a square pyramid = a2 + 2al = 81 + 2 ( 9 ) ( 6) = 189
Step-by-step explanation:
Surface area of a square pyramid = a2 + 2al
where,
a = base length of square pyramid = 9
l = slant height or height of each side face = 6
what photo should i chose???
Answer:
Top right figure (the trapezoid)
Step-by-step explanation:
Line symmetry means that if you draw a line that cuts the figure, and reflect the figure across that line, the figure does not change.
Now, if we use vertical lines, a figure will have a line symmetry if it is exactly the same in the left as it is in the right.
And we can see that none of the figures meets this condition.
If instead, we use horizontal lines, then the figure must be equal above and below.
Particularly the "L" and the "t" can be discarded.
Also, the bottom right image can be discarded, as the bottom is clearly different than the top.
But the top right figure (the trapezoid) is exactly the same in the bottom as in the top, so if we reflect that image across a horizontal line that cuts it in two halves, the figure will not change, so that is the figure that has line symmetry,
HELPPP
10 is 20% of what number? the answer to that is 50 but can u pls make a detailed explanation on how to get it thank uu.
Answer:
50
Step-by-step explanation:
20/ 100 x 50
then u will get 10 as the answer
Addition and Subtraction Property
what is x + 5 + 7
Answer:
the answer to the equation is x + 12
Step-by-step explanation:
x + 5 + 7 = x + 12
x + 12
Answer:
x+12 it think im not sure
Step-by-step explanation:
add 5 and 7 which get 12
please help asap!! :)
Answer:
[tex]C\approx 5.14[/tex]
Step-by-step explanation:
The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:
[tex]C=(d)(\pi)[/tex]
Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:
[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]
Substitute in the given value,
[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]
Simplify,
[tex]C=3.1415...+2[/tex]
[tex]C=5.1415[/tex]
[tex]C\approx 5.14[/tex]
Select the fraction that is equal to 2/4
1/5
12/7
1/2
Answer:
1/2
hope this helps
have a good day :)
Step-by-step explanation:
2. Factorise completely the expression
2x² - 4x- 2xy+ 4y
Answer:
the first method is method of grouping so u say (2x - 4x) -(2xy+4y) so u already know that the 2x is square so no mean to put it there so u say 2x(x- 2)-2y (x+2) so u see the bracket are the same so u take one (x- 2) (2x -2y) done
Answer:
[tex]2(x-2) ( x-y)[/tex]
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
1. Right Triangle
2. Right Triangle
3. Not a Right Triangle
4. Not a Right Triangle
A coin is tossed a number cube is rolled
P(tails and 3)
Answer:
1/6
Step-by-step explanation:
The coin toss and the cube roll are entirely separate and independent events. To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.
P(tails) = 0.5
P(3) = 1/6, or 0.3333 ....
Desired joint probability = (1/2)(1/3) = 1/6
x+y= -7 and -10x+2y=10
Answer:
x = 4
y = 3
Step-by-step explanation:
x = 10 - 2 y
substitute x = 10 - 2y into 2x - y = 5
20- 5y = 5
then
y = 3
and
x = 4
Mark brainliest
Help needed for this question.
Answer:
the size is 3size Dana makatulong Tama Yan
Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue de $100.000. Cuánto dinero le debe al banco??
Answer:
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
Step-by-step explanation:
Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:
[tex]x = \$\,100000 - \$\,32950 - \$\,25825[/tex]
[tex]x = \$ \,41225[/tex]
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
what is 10.25 divided by negative 0.5
Answer:
-20.5
hope this helps
have a good day :)
Step-by-step explanation:
About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)
Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
A science class has a ratio of 3 boys to 2 girls. Can there be 24 students in the class
Answer:
no
if you Let 3x be the number of boys
Let 2x be the number of girls
3x + 2x = 24
5x = 24
x = 4.8
3(4.8) = 14.4 boys
2(4.8) = 9.6 girls
There can't be 24 students for a ratio of 3 boys and 2 girls, because there can't be 14.4 boys and 9.6 girls, it has to be an exact number, otherwise it wouldn't make any sense
Which table of values can be represented by the function y = 3x + 2 ?
Answer:
Graph A.
Step-by-step explanation:
When x is equal to 0, why has to be equal to 2. The slope also has to be 3. To find this out, we do y2-y1/x2-x1. For A, the slope is -7--4/-3--2. This is equal to -3/-1. This is equal to 3. Because y=2 when x=0. option A is correct. For option D, when x=0, y=32. Therefore, this option is not correct. For option B, when x=0, y=2 so this could be correct. Plug it into y2-y1/x2-x1. This is equal to -1-0/-1-2. This is equal to -1/-3. 1/3 is not equal 3 so this option is not correct either. When x=0, y=32 for option C. Therefore, this option is not correct. Therefore, the answer is option A.
If this helps please mark as brainliest
Answer:
A
Step-by-step explanation:
for example
x = -4 and y = -10
y = 3x + 2
-10 = 3 . -4 + 2
-10 = -12 + 2
-10 = -10
#CMIIW