Answer:
8km 323m
Step-by-step explanation:
The total distance given by summing up all the distances traveled using different means.
Distance by bus = 5km 28m
Distance by car = 2 km 265 m
Distance on foot = 1 km 30 m
The total distance = distance by bus + distance by car + distance on footWe substitute below :-(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m
Total distance covered = 8km 323mStep-by-step explanation :
Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.
But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.
• Distance travelled by bus :
> Bus = 5km 28m
> Bus = 5 × 1000 + 28
> Bus = 5000 + 28
> Bus = 5028 m
• Distance travelled by car :
> Car = 2km 265m
> Car = 2 × 1000 + 265
> Car = 2000 + 265
> Car = 2265m
• Distance travelled by foot :
> Foot = 1km 30m
> Foot = 1 × 1000 + 30
> Foot = 1000 + 30
> Foot = 1030m
★ Now, total distance would be calculated as follows :
>> Total distance = (5028 + 2265 + 1030) m
>> Total distance = (7293 + 1030) m
>> Total distance = 8323 m
Therefore,
Abhishek travelled 8323 m.An aircraft is timetabled to travel from A to B. Due to bad weather it flies from A to C then from C to B, where AC and CB make angles of 27° and 66° respectively with AB. If |AC| = 220 km, calculate |AB|.
Answer:
|AB| = 240 km
Step-by-step explanation:
Finding ∠C :
⇒ 27° + 66° + ∠C = 180°
⇒ ∠C = 180° - 93°
⇒ ∠C = 87°
Applying the Law of Sines :
⇒ sin 66° / 220 = sin 87° / AB
⇒ 0.913545458 / 220 = 0.998629535 / AB
⇒ AB = 220/0.913545458 x 0.998629535
⇒ AB = 240.819981 x 0.998629535
⇒ AB = 240.489946
⇒ |AB| = 240 km (nearest whole kilometer)
Answer:
|AB| = 240 km (nearest km)
Step-by-step explanation:
Draw a sketch with the given information (attached).
Calculate the missing angle (shown in red on the attached diagram).
Given:
∠CAB = 27°∠CBA = 66°The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CAB + ∠CBA = 180°
⇒ ∠ACB + 27° + 66° = 180°
⇒ ∠ACB = 180° - 27° - 66°
⇒ ∠ACB = 87°
Use Sine Rule for sides to calculate |AB|:
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]
[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=240.4899459...[/tex]
[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]
Using the Data Set {125, 6, 133, 129, 125}, find the standard deviation:
An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Answer:
Length = 15.14, width = 7.14 and height = 2.43 inches.
( correct to the nearest hundredth).
Step-by-step explanation:
Let the lengths of the squares cut out be x inches.
Then the width of the box will be 12 - 2x and the length will be
20 - 2x inches.
The height of the box is x inches.
Volume V = x(20-2x)(12-2x)
To find the value of x when V is a maximum we find the derivative and equate it to zero.
V = x( 240 - 64x + 4x^2)
V = 4x^3 - 64x^2 + 240x
dV/dx = 12x^2 - 128x + 240 = 0
4(3x^2 - 32x + 60) = 0
This won't factor so we use the formula:
x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6
= 8.24, 2.43.
So one of these gives a maximum Volume.
The second derivative
d^2V/dx^2 = 24x - 128
When x = 8.24, this = 69.6 (positive) so this gives a minimum.
x = 2.43 gives a negative value ( -49.7) so this is the maximum
So the dimensions are:-
length = 20 - 2(2.43) = 15.14
width = 12 - 2(2.43) = 7.14
height = 2.43.
Joey is putting all of his trophies onto 7 shelves. If he places 7 trophies on each shelf but still has 4 trophies left over, how many
trophies does he have?
OA. 53
OB. 35
OC. 18
OD. 49
Answer:
53
Step-by-step explanation:
7 * 7 = 49 + 4 = 53
Answer:
A. 53
Step-by-step explanation:
Find number of trophies on shelves:
7 shelves x 7 trophies each = 49 trophies on shelves
Find total number of trophies:
49 trophies on shelves + 4 leftover = 53 trophies overall
So the answer is A. 53
NEED HELP ASAP 10 POINTS
Drag the values to order them from least to greatest with the least at the top 6pi-6, pi^3, and 99
Answer:
the square root of 99
6pi-6
pi^3
Step-by-step explanation:
The square root of 99 is approximately 9.9.
6pi-6 is approximately 12.8
pi^3 is approximately 12.8
Solve the system by substitution.
y= -6x-7
y= -7x
Answer:
x = 7
y = -49
Step-by-step explanation:
Solving system of equation by substitution method.y = -6x - 7 ---------------(I)
y = -7x -------------------(II)
Substitute y = -7x in equation (I)
-7x = -6x - 7
-7x + 6x = -7
-x = -7
Multiply both sides by (-1)
[tex]\sf \boxed{\bf x = 7}[/tex]
Substitute x =7 in equation (II)
y = -7*7
[tex]\sf \boxed{\bf y = -49}[/tex]
Answer:
X = 7 Y = -49
Step-by-step explanation:
Y= -6 X -7---------(1)
Y= -7 X ------------(2)
using substitution method, substitute equation two into equation one-7 X = -6X -7
-7 X+6X = -7
- X = -7
cancelling the - sign on bothsides
X = 7
put X = 7 into equation (2)
Y = -7(7)
Y = -49
therefore, X = 7 Y= -49
You pick a card at random.
6
7
8
9
What is P(less than 7)?
Write your answer as a fraction or
whole number.
Question 1-3
Find the average rate of change of the function, f (x) = log₂ (4x) on the interval of x = 2 to x = 8.
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Pleas help ppppppp pls
Step-by-step explanation:
option A is correct answer
7th grade end of year Escape! Please HELPPPPPP! i will give 100 points.
Count the marbles in the jar:
9 spotted ones
6 purple
10 green
25 total
a) 10/25 = 2/5
B) 19/25
C) 9/25 x 9/25 = 81/625
D) 2/5 x 6/25 = 12/125
E) 6/25 x 19/25 = 114/625
F) 6/25 x 5/24 = 1/20
G) 19/25 x 18/24 = 57/100
H) 6/25 x 14/24 = 7/50
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length FH.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
28
53
117
Answer:
FH = 108
Step-by-step explanation:
The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.
__
Triangle EGH:EG² = GH² +HE²
GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values
Triangle FGH:FG² = GH² +FH²
FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values
FH = √11664 = 108 . . . . . take the square root
The length FH is 108.
Help me out with this math problem for 50 points!!!
Answer:
see attached for a graph-1, -2.6, -497Step-by-step explanation:
The solution to a one-variable inequality can be graphed on a number line. The number line is shaded where the values satisfy the inequality. Boundaries of shaded regions are marked by points that are either a solid dot, or an open circle, depending on whether the point is included in the solution or not.
__
Here, the inequality tells us any value of x that is less than or equal to -1 will satisfy the inequality. Since -1 is part of the solution set, that boundary point will be marked with a solid dot. Values less than -1 are shown on a number line to the left of the point marked -1.
The graph will be a solid dot at x=-1, and shading to its left.
__
Possible solutions are any values less than or equal to -1. Some are ...
-1
-1.073
-429
What is the area of the triangle in the coordinate plane?
36 units²
38 units²
66 units²
72 units²
Answer:
36 units
Step-by-step explanation:
area of right angle triangle =1/2* b*h.
by counting the square,b=8 units and h=9 units
therefore,area 1/2* 8units * 9units
1/2*72units^2
36units^3
The product of a 25 and a number, increase by 8 is 68. find the number.
Answer:
2.4
Step-by-step explanation:
set up an equation to find x, the number.
[tex]25x+8=68[/tex]
subtract 8 from both sides
[tex]25x=60[/tex]
divide both sides by 25 to get x (the variable) alone
[tex]x=\frac{60}{25}=\frac{12}{5}=2.4[/tex]
00
Select the correct answer.
Using synthetic division, find (2x +4x3³ + 2x+8x+8) + (x+2).
OA 213 + 2x + 4
OB. 214 +21² +41
OC 213 +21+4+=+2
OD. 213 +21² + 4
Reset
Next
How to do this...(⊙o⊙)?
Obisa has a radio which uses 18-volt batteries. Each battery has 1.5 volts. How many batteries does he need to use his radio?
Answer:
I believe he would need 12 batteries
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.
Using the normal distribution, it is found that your systolic blood pressure is of 110.45.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The 30th percentile is X when Z = -0.525, hence your BP is given as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 122}{22}[/tex]
X - 122 = -0.525 x 22
X = 110.45.
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May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i
Answer:
(x, y) = (17/31, 1/31)
Step-by-step explanation:
Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.
__
simplify(5 -3i)(x -yi) = 3(x +2yi) +1 -2i
5x -5yi -3xi +3yi² = 3x +6yi +1 -2i
(5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)
equate real, imaginary partsThis resolves to the two equations ...
5x -3y = 3x +1-5y -3x = 6y -2solve the systemPutting these equations into general form gives ...
2x -3y -1 = 0
3x +11y -2 = 0
Using the "cross multiplication method" to solve these equations, we get ...
x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31
y = ((-1)(3) -(-2)(2))/31 = 1/31
The values of x and y that satisfy this equation are ...
(x, y) = (17/31, 1/31)
_____
You can read more about the cross multiplication method here.
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Help please
50 points
Answer:
The answer would be B
Step-by-step explanation:
1. Are the side lengths congruent?
2. Are the opposite sides parallel?
3. Are the adjacent sides perpendicular?
4. The most specific name for this quadrilateral is:
Answer:
opposite sides are congruentopposite sides are paralleladjacent sides are not perpendicularthe figure is a parallelogramStep-by-step explanation:
An easy way to determine the nature of the quadrilateral is to look at the lengths and midpoints of the diagonals. Adding and subtracting the coordinates of one end point from the other can tell what you need to know.
The diagonals of a parallelogram are mutual bisectors. The diagonals of a rhombus are perpendicular. The diagonals of a rectangle are congruent.
__
diagonal ACThe difference of end points of diagonal AC is ...
C -A = (7, 2) -(-6, 1) = (13, 1)
The sum of the end points of diagonal AC is ...
C +A = (7, 2) +(-6, 1) = (1, 3)
diagonal BDThe difference of end points of diagonal BD is ...
B -D = (0, 7) -(1, -4) = (-1, 11)
The sum of end points of diagonal BD is ...
B +D = (0, 7) +(1, -4) = (1, 3)
comparison of diagonalsmidpoints
The two diagonals have the same end point sum, (1, 3), meaning their midpoints are coincident. The figure is a parallelogram.
lengths
The lengths of the diagonals will be the same if the sum of squares of the coordinates of the end-point differences are the same.
Σ(C -A)² = 13² +1² = 170
Σ(B -D)² = (-1)² +11² = 122 ≠ 170 . . . . . not a rectangle
perpendicularity
The diagonals will be perpendicular if the "dot product" of the end-point differences is zero.
x1·x2 +y1·y2 = 13(-1) +1(11) = -2 ≠ 0 . . . . not a rhombus
The most specific name for this quadrilateral is parallelogram.
_____
Opposite sides of a parallelogram are congruent and parallel.
Adjacent sides of a rectangle are perpendicular. This is not a rectangle, so adjacent sides are not perpendicular.
A parallelogram that is not a rectangle or rhombus is described most specifically as a parallelogram.
Pls tell how did she get
1.15m il will marke brainliat
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
URGENT!!! NEED BY 11:59 EDT time!!!!!!!!!!!!!!!!!!!!!! WORTH 100 POINTS WITH CORRECT ANSWER AND EXPLANATION
Karen has 3 different INTEGER test grades (from a teacher that NEVER gives bonus questions or extra credit) that are all B+ and says that it doesn’t matter how high a grade she gets on the last test of the term because she’ll still only end up with no higher than a B+ test average. What is the SMALLEST score that proves her wrong?
Usual gradation standards
90+—≥ A+80-90—>A70-80—»B+60-70—»B50-60—⟩C+40-50—»C30-40—»D<30—≥Fail (F)So inorder to make her wrong we need something less than B+ I e <70
Smallest score is 0 largest score is 70 .
Including Jose, there are eight people in his family.
If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
35
840
1,680
2,620
Answer: b=840
Step-by-step explanation:
edge 2022
do good on your tests !!
There are 840 ways can he arrange his family members into a row of five seats if Jose must sit in the first seat
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Since, the order matters, we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
ⁿPₓ = n! / (n - x)!
In this question:
The first seat is Jose's.
The remaining four are organized among the other 7 members. So
There is no difference. So, 7 people can be sit in different ways as;
ⁿPₓ = n! / (n - x)!
⁷P₄ = 7! / (7 - 4)!
= 7! / 3!
= 840
So, the correct answer is, 840
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Look at this equation.
6x - 4= -4(X-5)
What value of x makes the equation true?
Answer:
Step-by-step explanation:
Equation 6x - 4= -4(X-5) Remove the brackets
Solution
6x - 4 = -4x + 20 Add 4x to both sides
6x + 4x -4 = -4x+4x + 20 Combine
10x - 4 = 20 Add 4 to both sides
10x - 4 + 4 = 20 + 4 Combine
10x = 24 Divide by 10
10x/10 = 24/10
x = 2.4
Answer: x = 2.4
Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = {3, 4, 5, 6, 7, 8). Find an injective function f(x) such that f: A → B. Hint: Can you depict any relationship between sets A and B?
Answer: f(x) = x + 2
Step-by-step explanation:
A = {1, 2, 3, 4, 5, 6]
B = {3, 4, 5, 6, 7, 8)
for each A, B is 2 more
f(1) = 1 + 2 = 3
f(2) = 2 + 2 = 4
f(3) = 3 + 2 = 5
and so on...
⇒ f(x) = x + 2
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The points that are correct about the given inequality 2(8/9)≥x are:
The graph contains the point 0There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.The arrow points to the left.Hence, the options that are correct about the given statement are B, C, and D.
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A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%, how many dollars is the sale price of the car
If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.
The cost after 15% off will be
→ 0.85 × $8,900
→ $ 7,565
Then the final cost after the sale tax of 8.25% will be
Cost = $ 7,565 × 1.0825
Cost = $ 8,189.11
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What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in the simplest form.
ft²
Answer:
A≈32[tex]\frac{3}{10}[/tex]ft²
--
To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)
Then plug in your variebles
A=2( 1.33*1.5+5+1.5+5+1.33)
This comes out to be A≈32 [tex]\frac{3}{10}[/tex]
Answer:
32 1/3 ft² for K12
A cylinder has a diameter of 5 centimeters and a height of 50 millimeters. Which of the following steps should be done
first in order to find the surface area of the cylinder?
O multiply the circumference of the circle by the height of the cylinder
o calculate the circumference of the circle
convert the diameter and the height to the same unit
o determine the radius and multiply by 2
NEXT QUESTION
ASK FOR HELP
TURN ITIN
Answer:
convert the diameter and the height to the same unit
Step-by-step explanation:
Answer: convert the diameter and the height to the same unit
Step-by-step explanation:
The surface area of a cylinder can be found with A = 2πrh + 2πr². To use this formula, all units of measurement must be the same.
This can be converting 5 centimeters to millimeters or converting 50 millimeters to 5 centimeters.
