Answer:
50.33 mi.
Step-by-step explanation:
GIVEN :-
Coordinates of :-
Home = (0 , 0)School = (4 , 3)Pizza place = (-8 , 2)Movie Theater = (-4 , -6)Park = (7 , -5)TO FIND :-
Total distance travelled on Friday & Saturday.GENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).
Distance between A & B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
SOLUTION :-
According to question ,
On Friday , you -
leave school and go to pizza palace. Distance travelled from school to pizza palace = [tex]\sqrt{(4 -(-8) )^2 + (3 - 2)^2} = \sqrt{(12)^2 + (1)^2} = \sqrt{145}[/tex] ≈ 12.04 mi.go to movie theater after pizza palace. Distance travelled from pizza palace to movie theater = [tex]\sqrt{[(-4) -(-8)]^2 + (-6 - 2)^2} = \sqrt{(4)^2 + (-8)^2} = \sqrt{80}= 4\sqrt{5}[/tex] ≈ 8.94 mi.come back to your home after the movies. Distance travelled from theater to home = [tex]\sqrt{[0-(-4)]^2 + (0 - 6)^2} = \sqrt{(4)^2 + (-6)^2} = \sqrt{52} = 2\sqrt{13}[/tex] ≈ 7.21 mi.⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.
On Saturday , you -
go to park from your home. Distance travelled from home to park = [tex]\sqrt{(7 -0 )^2 + (-5 - 0)^2} = \sqrt{(7)^2 + (-5)^2} = \sqrt{74}[/tex] ≈ 8.6 mi.go to school after going to park. Distance travelled from park to school = [tex]\sqrt{(4 -7 )^2 + [3 - (-5)]^2} = \sqrt{(-3)^2 + (8)^2} = \sqrt{73}[/tex] ≈ 8.54 mi.go to home after playing basketball in school. Distance travelled from school to home = [tex]\sqrt{(0 -4 )^2 + (0 - 3)^2} = \sqrt{(-4)^2 + (-3)^2} = \sqrt{25}[/tex] = 5 mi.⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.
∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.
Help!! No links!! step by step
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
A. 7
B. 8
C. 18
D. 42
Answer:
The answer is C. 18
Step-by-step explanation:
4(5)+10-12=18
Hope this helps!
(a+b)⁴ binomial expansion
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Method Used :-[tex]Using \: (a+b) {}^{2} (a+b) {}^{2} and (a+b+c) {}^{2} [/tex]
Expansion :-[tex](a + b) {}^{4} \\ = [(a+b) {}^{2} ] {}^{2} \\ = (a {}^{2} +2ab+b {}^{2} ) {}^{2} \\ = (a {}^{2} ) {}^{2} +(2ab) {}^{2} +(b {}^{2} ) {}^{2} +2(a {}^{2} )(2ab) +2(2ab) \\ (b {}^{2} )+2(b {}^{2} )(a {}^{2} ) \\ = a {}^{4} +b {}^{4} +4a {}^{3} b+6a {}^{2} b {}^{2} +4ab {}^{3} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Please help with this, will give brainliest.
Answer:
[tex]\text{B. }12.6[/tex]
Step-by-step explanation:
The cut the construction worker makes forms two right triangles. Therefore, we can use the Pythagorean theorem to solve this problem:
The Pythagorean theorem states that for any right triangle, the following is true: [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.
[tex]a^2+b^2=c^2,\\12^2+4^2=c^2,\\c^2=160,\\c\approx \boxed{\text{B. }12.6}[/tex]
Help!!!please!!!!!!!
Answer:
height of the cuboid=480/(12×8)
=480/96
=5 cm
HELP! Whats the answer?
Answer:
it should be 80
Answer:
4 x 3 = 12, 12 x 1/2 = 6
6(area of one triangle) x 4(there are 4 sides) = 24
4 x 4 = 16(area of bottom)
Add given areas:
24 + 16 = 40
Solve for 43.
43 = [?]
58°
139° 41°
43
Answer:
∠3 = 81
Step-by-step explanation:
Interior angles in a triangle add up to equal 180°
Hence, 58° + 41° + ∠3 = 180
58 + 41 = 99
99 + ∠3 = 180
* subtract 99 from each side *
99 - 99 cancels out
180 - 99 = 81
we're left with ∠3 = 81°
help me please!! 10 points
Answer:
16
Step-by-step explanation:
number = n
n/2 + 3 = n - 5
n/2 - n = -8
-n/2 = -8
n/2 = 8
n = 16
The ages of A, B, C ,D and E are 12, 18 ,13 ,16, and 6 years respectively . Find their average age.
Answer:
average is 13.6
Step-by-step explanation:
corresponding points of (-1, 1/2)
Answer:
(-2,0), (-1,1), (0,2)
Step-by-step explanation:
From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.
Answer:
2 cm
Step-by-step explanation:
A Stats test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get exactly 2 questions correct
Answer:
0.0512
Step-by-step explanation:
Probability of making a correct guess ; p = 1 / 5 = 0.2
q = 1 - p = 1 - 0.2 = 0.8
Number of questions, n = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 3) = 5C3 * 0.2^3 * 0.8^2
P(x = 3) = 0.0512
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Find the area of a triangle with the following measures:
B-12 inches
H-5 inches
Please help me out this is not very easy for me.
Answer:
A
Step-by-step explanation:
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
P = 2n
P - 5 = 1.5n
What value of n makes the system of equations true?
Answer:
n=10
Step-by-step explanation:
P = 2n
P -5 = 1.5n, substitute P
2n -5 = 1.5n, subtract 1.5n and add 5 to both sides
2n -1.5n = 5, combine like terms
.5n = 5, divide both sides by .5
n= 10
Help please thank you!
Step-by-step explanation:
In the picture it shows which quadrant is which. Now we can just mark the dots to figure it out using this representation.
W: quadrant 3
M: x axis
C: quadrant 1
K: quadrant 4
Hope that helps!
I need help quick, please
Answer:
B
Step-by-step explanation:
The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)
How do I find the measure qrs help????
I’m very confused thanks guys
Answer:
I do not know good luck my bro
Step-by-step explanation:
Answer:
∠QRS = 72°
Step-by-step explanation:
∠R + ∠Q = 180° (supplementary angles)
18x + 12x = 180
30x = 180
x = 6
∠R = 12x = 72° ∠Q = 18x = 108°
9. Derrick invested $40,000 in a 529 college fund for his son. If the
account was assigned a 2.25 % interest rate compounded daily, how much
was in the account after 10 years? Round your answer to the nearest
whole number.
O A. $50,093
O B. $59,020
о
C. $65,000
O D. $69,520
Answer:
the answer is c
Step-by-step explanation:
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters
Answer:
10,353m³
Step-by-step explanation:
We can look for the volume of the warehouse since we are not told what to look for
Volume of the warehouse = length * width * height
Given
Length = 120m
Width = 20 3/10 = 203/20 m
Height = 8 1/2m = 17/2 m
Volume of the warehouse = 120 * 203/20 * 17/2
Volume of the warehouse = 6 * 203 * 17/2
Volume of the warehouse = 3 * 203 * 17
Volume of the warehouse = 10,353 cubic metres
Hence the volume of the warehouse is 10,353m³
A rectangular prism has a length of 5 cm, a width of 2. 25 cm, and a height of 0.5 cm.
What is the surface area of the rectangular prism?
A. 5.625 cm2
B. 7.25 cm2
O C. 14.875 cm
D. 29.75 cm?
D. 29.75 is Right answer...
I hope you understand....
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
Two triangular prisms with the same altitude always have the same surface
area.
A. True
B. False
The prisms might have different base areas, which would contribute to overall having different surface areas even if the altitude (aka height) of each prism was the same.
What is the answer to this
Answer:
Nothing because where is the problem or question?
Step-by-step explanation:
Answer:
You have to attach the link or copy and paste the questions so I can see what your talking about and I can answer it.
Step-by-step explanation:
Please help . bdjsjsvxbxjsnsbvzhxjxnxnnxndjdndn
Answer: Line 4
Step-by-step explanation: The slope of this line is angled downward. The others are either angled upward or straight up. The vertical and horizontal lines have 0 in their slopes. So, line 4 is the only line with a negative slope because it has a negative number in the slope. ((x,y), y would be negative.)
Answer:
Hi, there your answer will D.4
Step-by-step explanation:
Also, if you need help finding what slope is negative or positive use this chart to help you
Hope this Helps :)
Which of the following equations correctly represents a circle centered at the origin with a radius of 5?
Answer:
The Choose (B)
(B) x²+y²=25
SOMEONE HELP WITH THESE 2 questions please!!!!!! Will mark brainlist !!!! And worth points !! Please don’t answer if u don’t know !!
Answer:
8) 62.83
9) 603.19
Step-by-step explanation:
Use an online calculator.
Hope this Helps!
Btw, pls brainliest.