The average speed of the tsunami was approximately 496.45 km/hr.
To find the average speed of the tsunami, we need to know the distance it traveled (7546 kilometers) and the time it took to travel that distance (15 hours and 12 minutes).
First, we need to convert the time to a single unit of measurement. For this calculation, we'll use hours. To do this, we'll convert the minutes to hours:
15 hours + 12 minutes ÷ 60 minutes/hour
= 15.2 hours
Next, we can divide the distance traveled by the time it took:
7546 km ÷ 15.2 hours
= 496.45 km/hr
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Find the value of xx and yy in the parallelogram below.
Answer:
x = 12
y = 11
Step-by-step explanation:
It's a parallelogram, so opposite sides are equal.
4x + 10 = 58
4x = 58 - 10 = 48
x = 48/4 = 12
10y - 6 = 104
10y = 104 + 6 = 110
y = 110/10 = 11
The midpoint of AB is M(1, 3). If the coordinates of A are (-1,5), what
are the coordinates of B?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -1}{2}~~~ ,~~~ \cfrac{ y +5}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M} }{(1~~,~~3)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -1 }{2}=1\implies x-1=2\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +5 }{2}=3\implies y+5=6\implies \boxed{y=1}[/tex]
portion of all homes in the city that have a television. which conditions for constructing this confidence interval did the sample meet?
If the sample met these conditions, then it is possible to construct a confidence interval for the proportion of all homes in the city that have a television.
In order to construct a confidence interval, the sample must meet the following conditions:
The sample must be a random sample of the population.The sample must be large enough to ensure a normal distribution.The sample size should be at least 30.The population should be normally distributed.The sample must be randomly selected from the population, large enough to ensure a normal distribution, and the population must be normally distributed. If these conditions are met, then a confidence interval can be constructed to provide an estimate of the proportion of homes that have a television.
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Y=x+3
3x-3y=9
Solved in substitution
The requried, given system of equations y=x+3 and 3x-3y=9 has no common solution.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
From the first equation, we can solve for y:
y = x + 3
Substitute y = x + 3 into the second equation:
3x - 3(x + 3) = 9
Simplify the right side:
3x - 3x - 9 = 9
-9 = 9 (inconsistent)
Since the equation -9 = 9 is inconsistent, the system of equations has no solution, which means that there are no values of x and y that make both equations true at the same time. It implies the system of equations has no solution.
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Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Group of answer choices
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.
Since the corresponding sides are not proportional, we can say that the triangles are not similar
What are similar triangles?In similar triangles, corresponding sides are always in the same ratio.
Given are two triangles ΔWUV and ΔXZY.
It is given that -
VW = 60 ZY = 48 YX = 40 VU = 50 UW = 40 XZ = 32
For the triangles to be similar, the corresponding sides will be proportional.
WU/XZ = UV/ZY = WV/XY
40/32 = 50/48 = 60/40
1.25 ≠ 1.044 ≠ 1.5
The corresponding sides are not proportional.
Therefore, since the corresponding sides are not proportional, we can say that the triangles are not similar.
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The corresponding sides are not proportional.
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Which of the following are equations for the line shown below? Check all that
apply.
(-3,-5)
(3,-2)
A. Y+2=0.5(x-3)
B. Y-5=0.5(x-3)
C. Y+5=0.5(x+3)
D. Y=0.5x-3.5
Answer:
Both C and D are equations for the two given points.
Step-by-step explanation:
A. Y+2=0.5(x-3) NO
(-3,-5): -5+2 = 0.5(-3-3); -3 = 0.5(-6); -3 = -3 YES
(3,2): 2+2 = 0.5(3-3): 4 = 0.5(0); 4 = 0 NO
B. Y-5=0.5(x-3) NO
(-3,-5): -5-5=0.5(-3-3); -10 = -3 NO
(3,-2): -2-5=0.5(3-3); -7 = 0 NO
C. Y+5=0.5(x+3) YES
(-3,-5): -5+5=0.5(-3+3); 0 = 0 YES
(3,-2): -2+5=0.5(3+3); 3 = 3 YES
D. Y=0.5x-3.5 YES
(-3,-5): -5 = 0.5(-3)-3.5; -5 = -5 YES
(3,-2): -2 = 0.5(3)-3.5; -2 = 1.5 - 3.5 YES
1. Andrew lives in Johannesburg. His parents are planning a vacation to Cape Town They decide to fly to Cape Town and then rent a car. The car rental company charge R200 per day (including 200 km free) and R1,80 per km. The insurance be 7,5% of the daily rental amount and the GPS an additional R45 per day a.What will the total cost be for the car rental if they spent 6 days in Cape Town travelled 1650 km in total?
800 students attend Ridgewood Junior High School. 25% of students bring their
lunch to school everyday. How many students brought their lunch to school on
Thursday?
200 number of students brought their lunch to school on Thursday.
What do you mean by Percentage?A Percentage is a number or ratio that can be expressed as a fraction of 100.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
Percentage formula = (Value/Total Value) × 100
P% of Number = X
where X is the required percentage.
If we remove the % sign, we need to express the above formula
P/100 × Number = X
Given:
Total number of students in school = 800
25% students bring their lunch every day.
25% of 800
= [tex]\frac{25}{100} \times 800[/tex]
= 25 × 8
= 200
200 students bring their lunch to school on Thursday.
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Work out the percentage change to 2 decimal places when a price of £15 is decreased to £14.
give woking out :))
The percent change in the price is -6.67
How to find the precentage change?The percentage change will be given by the formula:
Percent change = 100%*(new price - old price)/old price
We know that:
old price = 15 pounds.
new price = 14 pounds
Replacing that we will get:
percent change = 100%*(14 - 15)/15 = -6.67%
The price is 6.67% smaller.
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The shape of Tina's kitchen is a rectangle 925 cm long by 485 cm wide.
a) Work out the area of Tina's kitchen in square meters.
Show how to use estimation to check your answers.
Flooring costs $56 per square meter.
It is only sold in whole numbers of square meters.
B) How much does Tina pay to buy flooring for her kitchen floor?
Show how to use inverse operations to check your answer
a) The area of Tina's kitchen is 44.8625 square meters. b) Tina cost $2520 to buy flooring for her kitchen floor.
a) To work out the area of Tina's kitchen in square meters, we need to divide the area in square centimeters by 10,000, which is the number of square centimeters in a square meter:
Area = length x width = 925 cm x 485 cm = [tex]448,625 cm^2[/tex]
Area in square meters =[tex]448,625 cm^2 / 10,000 cm^2/m^2 = 44.8625 m^2[/tex]
b) To find how many whole square meters of flooring Tina needs, we round the area of the kitchen up to the nearest whole number:
Area in square meters rounded up = ceil(44.8625) = [tex]45 m^2[/tex]
The cost of the flooring is $56 per square meter, so Tina pays:
Total cost = [tex]45 m^2 * $56/m^2 = $2520[/tex]
To use inverse operations to check this answer, we can divide the total cost by the cost per square meter to get the number of square meters, and then multiply by the cost per square meter to check that we get back to the total cost:
Number of square meters =[tex]$2520 / $56/m^2 = 45 m^2[/tex]
Total cost = [tex]45 m^2 x $56/m^2 = $2520[/tex] (same as the original answer)
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Write an algebraic expression to represent the following situation: "Adele bought a skirt and a blouse. The skirt cost $15 more than the blouse. Let B represent the cost of the blouse. Write an expression for the cost of the skirt."
S=B+15
15 more than blouse (b)
S representing skirts
Scott solve the equation Winnie, Texas, working realize they made a mistake identify Scott era, and find the correct solution
Scott solve the equation Winnie, Texas, working realize they made a mistake identify Scott era, and find the correct solution
The students divided the number ‘n’ by 3 instead of dividing (n-5) by 3.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: Given, Scott solve the equation Winnie, Texas, working realize they made a mistake identify Scott era wrote an algebraic expression for “5 less than a number n divided by 3” as (n/3) - 5.
We have to find the error made by the students.
5 less than a number n = n - 5
5 less than a number n divided by 3 = (n - 5)/3
Correct expression = (n - 5)/3
Expression written by student = (n/3) - 5
Therefore, the students divided the number ‘n’ by 3 instead of dividing (n-5) by 3.
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What’s the Error? A Scott solve the equation Winnie, Texas, working realize they made a mistake identify Scott era wrote an algebraic expression for “5 less than a number n divided by 3” as (n/3) - 5. What error did the they make?
Ken is going on a hike with his friends. He brings 8 liters of water for everyone to share. While hiking, they drink 5 of liters.
Answer: If Ken brought 8 liters of water for everyone to share and they drank 5 liters of it, then the remaining amount of water they have is 8 - 5 = 3 liters.
Step-by-step explanation:
3X2+3Y^2-7X-6Y-3
Find the diameter
The diameter of the circle is 22 / 12 units
What is the diameterTo find the diameter of the figure, we need to rewrite this in standard form of a equation of a circle.
3x² + 3y² - 7x - 6y - 3 ;
This will be written in (h, k) form which is
3x² + 3y² - 7x - 6y - 3
The coordinate of the center is at (7/6, 1)
The radius of the circle is 11/6 and we can find the diameter of the circle by;
diameter of circle = 2 * radius of circle
diameter = 2 * 11 / 6
diameter = 22 / 12
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sally has 20 water bottles he gives 10 to jerry how many does sally have left?
Sally has 20 water bottles he gives 10 to jerry, then final count of water bottles that Sally has is 10.
What is the addition?
The addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the total of two or more numbers. For example, 7 + 7 = 14.
We have given,
sally has 20 water bottles he gives 10 to jerry how many does sally have left?
Sally originally had 20 water bottles.
When she gives 10 water bottles to Jerry, she will have 20 - 10 = 10 water bottles left.
Therefore, the final count of water bottles that Sally has is 10.
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Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
Choose...
b6
≤ 7
Choose...
–4.5c > 9
Choose...
–215
≤ –52
d
Choose...
Based on the following given inequality; the symbol will be reversed when the variable is isolated
–10.5 < 3a Yes b6 ≤ 7 No–4.5c > 9 Yes–215 ≤ –52d NoWill the symbol of the inequality be reversed?The condition for the symbol of an inequality to be reversed is;
if the variable is isolated and a negative number is used to divide.
The symbols of inequality are;
Greater than >
Less than <
Greater than or equal to ≥
Less than or equal to ≤
Equal to=
–10.5 < 3a
a < -10.5/3
a > -3.5
Yes
b6 ≤ 7
b ≤ 7/6
b ≤ 1.17
No
–4.5c > 9
c > 9/-4.5
c < -2
Yes
–215 ≤ –52d
d ≤ -215 / -52
d ≤ 4.14
No
Hence, the symbol will be reversed when the variable is isolated if the result of the division is negative.
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Russell and Valerie start to walk away from the Cafeteria to their classes.
Russell walks 10 yards due West, then turns 40° toward South and walks 5 yards.
Valerie walks 10 yards due East, then turns 60° toward North and walks 5 yards.
Which student is farther from the cafeteria? Explain how you know using a diagram and words.
Help please!!
What is the area and perimeter of the composite shape? Divide the composite into 3 shapes.
Show all work for BRAINLIEST
Answer:
56in.²
Step-by-step explanation:
the given figure can be divided into three parts .
( see attachment)
Finding area of I
Area = 7*4
Area = 28 in.²
Area of II
Area = 5 * (7-3) = 5*4
Area = 20 in.²
Area of III
area = 1/2 * 4*4
area = 8in.²
Total area [ 28 + 20 +8] in.² = 56in.²
Which values are solutions to the inequality below? Check all that apply.
√x <10
A. 100
B. 25
C. -100
D. 105
E. 36
F. 9
Answer:
The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v
Step-by-step explanation:
its E and A
Answer:
The solutions to the inequality are B, E, and F: 25, 36, and 9.
Step-by-step explanation:
The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:
√x < 10
x < 10^2 = 100
So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:
A. 100 (not a solution)
B. 25 (solution)
C. -100 (not a solution)
D. 105 (not a solution)
E. 36 (solution)
F. 9 (solution)
Which equation represents the line that passes through the point (1,5) and has a slope of -2?
Question is in the picture.
The equation is given as y = 4x - 3 , where the slope is m = 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The value of term 1 = 1 square
The value of term 2 = 5 suqres
The value of term 3 = 9 squares
So , the increment in the number of squares is 4
Let the first point be P ( 1 , 1 )
Let the second point be Q ( 2 , 5 )
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - 1 ) / ( 2 - 1 )
Slope m = 4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 1 = 4 ( x - 1 )
On simplifying the equation , we get
y - 1 = 4x - 4
Adding 1 on both sides of the equation , we get
y = 4x - 3
Therefore , the value of y is 4x - 3
when x = 1 . y = 4 - 3 = 1
when x = 2 , y = 4 ( 2 ) - 3 = 8 - 3 = 5
Hence , the equation of line is y = 4x - 3
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7. Given that 2x² + 4x + 3 = k where k is a constant, find the range of values for k for which the equation has no real roots. (b) The function f is defined on the set R of real numbers by f(x) →kx² + kx + 1, where k is a member of R. Calculate the range of values of k for which the equation f(x) = 0 hasreal roots. Given that k = -2, solve the equation f(x) = 0. 1/2
Answer: (a) The equation 2x^2 + 4x + 3 = k has real roots if and only if its discriminant, which is 4^2 - 4(2)(3), is nonnegative. The discriminant is equal to 0, so the equation has real roots if and only if k = 3.
(b) For the equation f(x) = kx^2 + kx + 1 to have real roots, its discriminant, which is 1 - 4k, must be nonnegative. This gives us k >= 1/4. The range of values of k for which the equation has real roots is k >= 1/4.
(c) When k = -2, the equation f(x) = -2x^2 - 2x + 1 = 0. Solving this equation using the quadratic formula, we get x = (-1 ± √(1 + 8))/4. So, the roots are x = (-1 ± √(9))/4 = (-1 ± 3)/4 = 1/2, -2.
I need help on question six, pls help me
Answer:
The surface area of the label is 28 squared inches.
Step-by-step explanation:
The dimensions of juice box are length=2 inches, breadth=1.5 inches and height= 4 inches.
The lateral surface area of a cuboid is given by 2(length+breadth)×height.
Now, lateral surface area of juice box = 2(2+1.5)×4
= 2×3.5×4
= 28 squared inches
Answer:
28 square inches
Step-by-step explanation:
Lateral surface of Cuboid:The label covers the lateral surface area of the box.
l = 2 in ; w = 1.5 in ; h = 4 in
[tex]\boxed{\text{\bf lateral surface area of cuboidal box = 2h*(l +w)}}[/tex]
[tex]\sf = 2*4 *( 2 +1.5)\\\\= 2 * 4 * 3.5\\\\ = 28 \ in^2[/tex]
Use this for question 6 to 8:
Four machines A, B, C and D produce respectively 30%, 30%, 15% and 25% of the total number of
items from a factory. The percentage of defective output from these machines are 1%, 1.5%, 3% and
2% respectively. Given that an item is to be selected at random from the total output.
6: Find the probability that the item will be defective.
(a) 0.105
(2 marks)
(b) 0.017
(c) 0.007
(d) 0.170
7: If an item selected at random is found defective, what is the probability that it is produced by
machine A
(2 marks)
(2 marks)
(d) 0.007
(a) 0.018
(b) 0.015
(c) 0.111
8: Find the probability that the item is produce by machine D
(a) 0.294
(b) 0.034
(c) 0.118
(d) 0.253
The probability that the item will be defective is 0.017, the probability that an item selected at random is defective is 0.018 and the probability that an item is produced by machine D is 0.25
What is the probability that the item will be defectiveUsing the formula of probability distribution to solve the given problem;
6: The probability that the item will be defective is the sum of the probabilities of a defective item from each machine:
(1% * 30%) + (1.5% * 30%) + (3% * 15%) + (2% * 25%) = 0.017
So the answer is b
7: If an item is selected at random and found to be defective, the probability that it was produced by machine A is the probability of a defective item from machine A divided by the overall probability of a defective item:
(1% * 30%) / 0.017 = 0.018
The answer is option a
8: The probability that the item was produced by machine D is the probability of a non-defective item from machine D divided by the overall probability of a non-defective item:
(25% * 98%) / (100% - 0.017) = 0.25 * 0.98 / 0.895 = 0.25
So the answer is (d) 0.253
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GARDEN Camila put a frame around a triangular garden in her yard. The two legs of the triangle are 8 feet long each, and the third side is equal to the length of a leg times 2⎯⎯√ . What is the perimeter of the triangle? Give your answer as a simplified radical expression,
The perimeter of the triangle is 16+8√2 feet.
The perimeter of any two-dimensional figure is defined as the distance around the figure. The formula for a closed shape figure's perimeter is typically equal to the length of the figure's outer line.
The perimeter of a triangle will therefore be equal to the sum of its three sides. Consequently, if a triangle has sides a, b, and c,
Here, a= 8 feet
b= 8 feet
c= 8√2 (length of a leg * √2= 8*√2)
Perimeter= Sum of all three sides of the triangle
Perimeter = a + b + c
Perimeter= 8+ 8 +8√2
Perimeter= 16+8√2 feet.
16+8√2 feet is the perimeter of the triangular garden.
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Consider AGHJ in the figure below.
The perpendicular bisectors of its sides are KN, LN, and MN. They meet at a single point N.
(In other words, N is the circumcenter of AGHJ.)
Suppose LN=22, GJ=92, and GN=122.
Find HN, LJ, and GK.
Note that the figure is not drawn to scale.
Answer:
Step-by-step explanation:
Trapezoid PQRS with vertices P(-6, 2), Q(-2, -1), R(-2, -3), and S(-6, -6). Reflect in the line x=1
Graph the Trapezoid PQRS with vertices P(-6, 2), Q(-2, -1), R(-2, -3), and S(-6, -6). Reflect in the line x=1.
The preimage's point corresponds to the image's points in the following way:
P(-6, 2) → P'(6, 2)
Q(-2, -1) → Q' (2, -1)
R(-2, -3) → R'(2, -3)
S(-6, -6) → S'(6, -6)
(x,y)→(−x,y)
A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.
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Given h(x) = -x+5, solve for x when h(x) =0
The value of h(x) = 0 gives x=5.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the b. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -x + 5
So, for h(x)= 0 we have
-x + 5= 0
now, solving for x
-x = -5
x= 5
Thus, the value of x is 5.
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can someone help me with this
The distances traveled by the car are given as follows:
3 minutes: 3.45 kilometers.5 minutes: 5.75 kilometers.What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The parameters for this problem are given as follows:
v = 1.15 km/min, t = 1 min.
Hence the equation for the distance in km after t minutes is given as follows:
d = 1.15t.
Then after 3 minutes, the distance is of:
d = 1.15 x 3 = 3.45 km.
After 5 minutes, the distance is of:
d = 1.15 x 5 = 5.75 km.
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In ΔXYZ, x = 300 cm, z = 290 cm and ∠Z=109°. Find all possible values of ∠X, to the nearest degree.
The possible value of angle X, to the nearest degree is 78°.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
Given that, in ΔXYZ, x = 300 cm, z = 290 cm and ∠Z=109°.
Here, sinX/x=sinZ/z
sinX/300 = sin109°/290
sinX/300 = 0.9455/290
sinX/300 = 0.00326
sinX=0.00326×300
sinX=0.978
∠X=78°
Therefore, the possible value of ∠X, to the nearest degree is 78°.
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