Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
What is the different between the expression (-2)3 and -23
Answer:
-23 is a set number (-2)3 is an equation
Step-by-step explanation:
The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.
Which angle relationships are correct? Check all that
apply.
21 and 28 are alternate exterior angles.
24 and 26 are same side interior angles.
25 and 27 are vexical angles.
22 and 28 are corresponding angles.
23 and 26 are alternate interior angles.
Answer:
<1 and <8 are alternate exterior angles
<4 and <6 and same said interior angles
<3 and <6 are alternate interior angles
Step-by-step explanation:
The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.
What is angle relationship?The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.
Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8
∠ 1 and ∠ 8 are alternate exterior angles, this is true.
∠ 4 and ∠ 6 are same side interior angles, this is true.
∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.
∠ 2 and ∠ 8 are corresponding angles, this is true.
∠ 3 and ∠ 6 are alternate interior angles, this is true.
Hence, the correct options are 1, 2, 4, and 5
Learn more about angle relationships, click;
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The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
Write a justification for each step...
Help I need this answer?
Answer:
A,C,E
Step-by-step explanation:
PLEASE HELP NEED ANSWER NOW!!!!!!
Put the following equation of a line into slope-intercept form, simplifying all fraction. 5x-y=(-4)
What is the nth term rule of the linear sequence
6,13,20,27,34?
Answer:
62
Step-by-step explanation:
270 qt: 105 gal
Simplified
Answer:
wouldn't it be 18/7
Step-by-step explanation:
270 ÷ 15 over 105 ÷ 15
How can we get Equation B from Equation A?
3(x+2)=18
x+2=18
i need them solved aswell
Answer:
x = 4
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
(not my answer)
[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]
Answer:
[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]
Step-by-step explanation:
Exponents Properties
We need to recall the following properties of exponents:
[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]
[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]
We are given the expression:
[tex]2^m=n[/tex]
We need to express the following expression in terms of n.
[tex]8^m-4^{-m}[/tex]
It's necessary to modify the expression to use the given equivalence.
Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:
[tex](2^3)^m-(2^2)^{-m}[/tex]
Applying the property:
[tex](2^m)^3-(2^m)^{-2}[/tex]
Substituting the given expression:
[tex]n^3-n^{-2}[/tex]
Or, equivalently:
[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]
ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)
Answer:
(-3,1)
Step-by-step explanation:
(x,y)---->(x,-y)
(-3,-1)--->(-3,1)
I have 5 digits. My q is worth q * 10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am l
Answer:
92,776
Step-by-step explanation:
I have 5 digits. My 9 is worth 9*10,000. My 2 is worth 2 thousand. One of my 7s is worth 70. The other is worth 10 times as much. My other digit is a 6. What number am I?
My 9 is worth 9*10,000 = 9 * 10,000
= 90,000
My 2 is worth 2 thousand = 2,000
One of my 7s is worth 70 = 70
The other is worth 10 times as much = 70 * 10
= 700
My other digit is a 6 = 6
The number is
90,000 + 2,000 + 700 + 70 + 6
= 92,776
A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.
0.40
0.72
1.15
2.14
Answer: 1.15
Step-by-step explanation:
Answer:
1.15 is the answer
Step-by-step explanation:
Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)
Answer:
yes
Step-by-step explanation:
i multiply the 16 to the ratio of meters to feet and got 52.4934
One number is 2 times another. The sum of their reciprocals is 6. Find the numbers.
The numbers are
Answer:
1/2, 1/4
Step-by-step explanation:
Let the numbers be x and y.
Given, x=2y
1/x + 1/y = 6
plug in x=2y ,
1/2y+1/y = 6
Taking common denominator ,
(1+2)/2y = 6
2y = 3/6 = 1/2 => y=1/4
x = 2y = 2* 1/4 = 1/2
So, the numbers are 1/2 and 1/4
if you could help me with this i would be very thankful
Answer:
Δ QRS is an obtuse triangle ⇒ according to its angle
Δ QRS is an isosceles triangle ⇒ according to its sides
Step-by-step explanation:
In Δ QRS
∵ m∠Q = 8x - 17
∵ m∠R = 19x + 4
∵ m∠S = 5x + 1
→ The sum of the interior angles of a Δ is 180°
∴ m∠Q + m∠R + m∠S = 180°
→ Substitute their values in the equation above
∵ 8x - 17 + 19x + 4 + 5x + 1 = 180
→ Add the like terms
∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180
∴ 32x + (-12) = 180
∴ 32x - 12 = 180
→ Add 12 to both sides
∵ 32x - 12 + 12 = 180 + 12
∴ 32x = 192
→ Divide both sides by 32
∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]
∴ x = 6
→ Substitute the value of x in each measure of angles to find them
∵ m∠Q = 8(6) - 17 = 48 - 17
∴ m∠Q = 31°
∵ m∠R = 19(6) + 4 = 114 + 4
∴ m∠R = 118°
∵ m∠S = 5(6) + 1 = 30 + 1
∴ m∠S = 31°
∵ m∠R > 90°
∴ ∠R is an obtuse angle
∴ Δ QRS is an obtuse triangle
∵ m∠Q = m∠S
→ In any Δ if two angles are equal in measures, then the two sides
opposite to these angles are equal in length and the Δ is isosceles
∴ RQ = RS
∴ Δ QRS is an isosceles triangle
What is the value of 2x3 + 4x2 - 3x2 - 6x when x = 3?
Answer:
-10
Step-by-step explanation:
If the equation is 2 x 3+4 x 2-3 x 2- 6(x)= . Than the equation would turn into 2 x 3+4 x 2-3 x 2- 6(3) which equals -10.
(9,-8) and (9,6) and determine the equation of the line.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.
A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?
Answer:
450 Km
Step-by-step explanation:
90 Km/hr x 5 hr = 450 Km
I hope this helped and good luck!
Answer: Distance= 450km
Step-by-step explanation:
90 times 5= 450
SOMEONE PLEASE HELP DUE IN 3 MINS
is this right?
Answer:
YES you are right
Step-by-step explanation:11 squared equals 121
HELP ME ASAP PLEASE?!?
Classify the following triangle as acute, obtuse, or right.
Answer:
obtuse
Step-by-step explanation:
hope it helps. :)
geometry unit 3 look at the picture for the question
Answer:
C= 66°
B= 74°
A= 35°
Step-by-step explanation:
sorry I don't have much time to explain- but I hope this answer helps
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
HELPPP!!!
help me for a brainliest!
=5^6/5^4
=5^(6-4)
=5^2 ANSWER..
help
please
-8а - 5 = 3 - 6а
Answer:
-8a-5=3-6a
-8a+6a=3+5
-2a=8
a=8/-2
therefore,a=-4 answer...
Answer:
a = 4
Step-by-step explanation:
Firstly, make all subtraction signs, addition signs which should look like this
-8a + -5 = 3 + -6a
Add 5 to both, -5 and 3.
-8a = 8 + -6a
Add 8a to both -8a and -6a
2a = 8
Divide both by 2
a = 4
If I get it right i will give brainlist
Answer:
a
Step-by-step explanation:
4x+9y= -108
4(0)=9y= -108
9y= -108
-108/9
y- intercept= -12
Which equation is represented by the graph below?
Answer:
y=-1/2x+2
the y-intercept is at 2 and the slope is -1/2
meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction
which ordered pair is a solution of the equation
Solve for x plz.I need
Answer:
Step-by-step explanation:
xc = ab
x = ab/c
Answer:
x=ab/c
Step-by-step explanation:
x/a=b/c
3.005 as a fraction simplified(I’m reporting wrong answers)
Answer:1
Step-by-step explanation:it’s one decimal