If you're good at trigonometry please help me with question nine a and b and show full working out tyyyyyyyy ;)
Problem 9, part a)
Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.
With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...
tan(angle) = opposite/adjacent
tan(52) = 18.5/d
d*tan(52) = 18.5
d = 18.5/tan(52)
d = 14.4537840903742
The approximate value of d is 14.4537840903742 km
This rounds to 14.5 when rounding to one decimal place.
Answer: 14.5 km=======================================================
Problem 9, part b)
Recall that
distance = rate*time
where "rate" is another term for "speed" or "velocity"
We can solve this for the time to get
time = distance/rate
------
We found the distance back in part a) above. We are given the rate of 48 km/h
So,
time = distance/rate
time = 14.4537840903742/48
time = 0.3011205018828
This is the time it takes in hours. Multiply by 60 to convert to minutes
0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes
This rounds to the whole number 18
Answer: 18 minutesPLSSSS HELP! Find all real zeros and complex of each solution x^3-5x^2+7x-35=0. SHOW WORK!!!
Hey there! :)
Answer:
x = 5, x = -i√7, x = i√7
Step-by-step explanation:
We can factor the equation x³ - 5x² + 7x - 35 = 0 by grouping:
x²(x - 5) + 7(x -5) = 0
We get:
(x² + 7)(x - 5) = 0
or
(x + i√7)(x - i√7)(x - 5) = 0
Use the Zero Product Property to solve for the solutions:
x - 5 = 0
x = 5.
-----------
x² + 7 = 0
x² = -7 (We will have imaginary solutions in this instance)
x = ±i√7
Therefore, the zeros of this equation are:
x = 5, x = -i√7, x = i√7
A weather station on the top of a mountain reports that the temperature is currently 0℃ and has been falling at a constant rate of 3.5℃ per hour. What will the temperature at the top of the mountain be in 5 hours?
Answer:
-17.5℃
Step-by-step explanation:
Current temperature = 0 ℃
Rate of falling per hour = -3.5 ℃
Temperature in 5 hours = -3.5 * 5 = -17.5 ℃
Factorise fully 72-2y^2
Answer: 2(y + 6)(-y + 6)
Step-by-step explanation: Factor 72 - 2y^2
-2y^2 + 72
= 2(y + 6)(-y + 6)
Answer:
[tex]-2\left(y+6\right)\left(y-6\right)[/tex]
Step-by-step explanation:
[tex]72-2y^2[/tex]
[tex]-2y^2+72[/tex]
Factor out GCF.
[tex]2(-y^2+36)[/tex]
Apply difference of two squares formula.
[tex]-2\left(y+6\right)\left(y-6\right)[/tex]
Which of the following are reasons used in the proof that the angle-bisector construction can be used to bisect any angle?
Check all that apply
A. Any Line segment can be extended indefinitely
B. All of the radii of a circle are congruent
C .CPCTC
D. SSS triangle congruence postulate
Answer: B C D
Step-by-step explanation:
just answered it for AP3X
Reasons used in the proof that the angle-bisector construction can be used to bisect any angle are as follows:
B. All of the radii of a circle are congruent
C .CPCTC
D. SSS triangle congruence postulate
What is angle bisector ?" Angle bisector is defined as the ray which divides the angle into two equal parts."
According to the question,
A. Any Line segment can be extended indefinitely is not required to bisect any angle .
Therefore , it is not a correct option.
B. All of the radii of a circle are congruent : To bisect an angle draw an arc with same radii is used in constructing an angle bisector .
Therefore , Option B is a correct option.
C. CPCTC : Corresponding parts of a congruent triangle are congruent is required to proof angle bisector. As it proofs two triangles are congruent.
Therefore, Option C is the correct option.
D. SSS triangle congruence postulate : It is required an important step to prove that two triangles are congruent which imply proof of angle - bisector construction.
Therefore, Option D is the correct option.
Hence, Option B, Option C , Option D are the correct answer.
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8
Express it in slope-intercept form.
6
Enter the correct answer.
OOO
DONE
Clear all
2
6 8
Answer:
I'm confused what's the question ?
Plot on the number line?
Answer:
See below
Step-by-step explanation:
[tex]\sqrt{6}[/tex] = 2.449
So, While plotting to the number line it will be like:
Answer:
Step-by-step explanation:
Hello!
You have to plot √6 on the number line.
The √6 is equal to 2.4494
In the given number line is depicted the scale between 2.4 and 2.5, the lines between corresponds to the second decimal digit between these two numbers, so the given scale is:
| * | | | * | * | | | * | | |
2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 2.50
The dot corresponding to √6 is the third counting from left to right.
(See attachment)
I hope this helps!
A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?
It is a series of points that fall in a straight line but are unconnected.
It is a series of points that cannot be connected by a straight line.
It is a line connecting a series of points.
It is a line drawn only in the first quadrant.
Answer:
A. It is a series of points that fall in a straight line but are unconnected.
Step-by-step explanation:
Given variables y and x, and a proportional factor k, the proportional relationship is :
y/x = k or y = k*x
This means that points fall in a straight line.
Discrete data means that the function is also discrete, that is, points are not connected between them like in a continuous function.
Answer:
its a
Step-by-step explanation:
got it right
Solve for x. Then, find m∠FDG and m∠GOF. answers: 1) x = 29; m∠FDG = 66°; m∠GOF = 126° 2) x = 28; m∠FDG = 64°; m∠GOF = 116° 3) x = 27; m∠FDG = 62°; m∠GOF = 118° 4) x = 24; m∠FDG = 56°; m∠GOF = 106°
Answer:
3) x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180
6x + 18 = 180
6x = 162
x = 27
Answer:
x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:I took the test
PLEASE HELP Plot 2 2/3 and 1 5/9
Answer:
Answer attached
PLEASE HURRY Solve for X assume that lines that which appear tangent are tangent
Answer:
x = 8
Step-by-step explanation:
In a circle if two chord intersects as shown in figure
and length of a chord at point of intersection is a and b
and length of another chord at point of intersection is c and b
a*b = c*d
using this relation here, we have
8*(x+7) = 10 * (4 +x)
=> 8x + 56 = 40 + 10x
subtracting 40 and 8x from both sides
=>8x + 56 - 8x -40= 40 + 10x -8x -40
=> 16 = 2x
=> x = 16/2 = 8
Thus, x = 8
D is m<5+m<6
Please answer im not very good with this math
Answer:
A. m∠2 + m∠3
Step-by-step explanation:
The exterior angle theorem states that the exterior angle formed when you extend the side of a triangle is equal to the sum of its non-adjacent angles.
So m∠4's non-adjacent angles are 2 and 3 NOT 1. Therefore, the measure of ∠4 = m∠2 + m∠3.
Hope this helps!
Answer:
A) m∠2 + m∠3
Step-by-step explanation:
Triangle Exterior Angle Theorem: The Sum of the outside angle is found using by adding the two opposite interior angles.
In the case of ∠4, the opposite interior angles are ∠2 & ∠3.
~
A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles
Step-by-step explanation:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Answer:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Step-by-step explanation:
Rani scores 4 times as many baskets as Layla. Tash scores 8 baskets less than Rani. They score 100 baskets in total. How many baskets does Tash score?
Answer:
Tash scores 40 baskets
Step-by-step explanation:
Rani = R
Layla = L
Tash = T
R = 4L
T = 4L-8
As L + R + T = 100
L + 4L + 4L-8 = 100
Collect like terms
9L - 8 = 100
+ 8 both sides
9L = 108
divide by 9 both sides
L = 108 / 9
L = 12
Now..... T = 4L-8 substitute L with 12
T = 48 - 8
T = 40
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
20
Step-by-step explanation:
Three tins, A, B and C, each contain buttons.
Tin A contains x buttons.
Tin B contains 4 times the number of buttons that tin A contains.
Tin C contains 7 fewer buttons than tin A.
The total number of buttons in the three tins is 137
Work out the number of buttons in tin C.
The number of buttons in C is 17 buttons
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the three tins be A , B and C respectively
The number of buttons in tin A = x
The number of buttons in tin B = 4 times the number of buttons in tin A
= 4x
The number of buttons in tin C = 7 fewer buttons than tin A
= x - 7
The total number of buttons in tin A , tin B and tin C together = 137 buttons
So , the total number of buttons =
number of buttons in tin A + number of buttons in tin B + number of buttons in tin C
So , the equation will be
Total number of buttons = x + 4x + ( x - 7 )
x + 4x + ( x - 7 ) = 137
6x - 7 = 137
Adding 7 on both sides , we get
6x = 144
Divide by 6 on both sides , we get
x = 24 buttons
So , the number of buttons in tin A is 24 buttons
So , number of buttons in tin B = 4 x 24
= 96 buttons
Therefore , the number of buttons in tin C = 17 buttons
Hence , the number of buttons in tin C is 17 buttons
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The school band had a candy bar fundraiser. They paid $1.25 for each candy bar and sold them for $2 each. How many candy bars will they have to sell to make $300?
Answer:
225
Step-by-step explanation:
(80 pts) How many different ways can a captain and a co-captain be selected for a rugby team if there are 10 players?
Answer:
There are 90 different ways
Step-by-step explanation:
We can apply factorials to help solve this equation.
Just to review, 4!= 4x3x2x1
To solve this problem, we need to use factorials but only a portion of it.
Since there are only 2 roles, we only have to go down two numbers
For captain, there are 10 players available,
But for co captain, there are 9, because the captain can't also be the co captain
So the result is 10x9
We don't have to go further since there are no more further roles to occupy
10x9=90
There are 90 different ways
Answer:
45 if two co-captains or 90 if captain and co-captain are two DISTINCT roles.
Step-by-step explanation:
METHOD ONE
Label each player (either a through j OR 1 - 10).
List combinations:
a ba c a da ea f a ga ha ia jb c (not "b a" because that would be the same as #1)b db eb fb gb hb ib jc d (not "c a" or "c b" because those would be duplicates)c ec fc gc hc i c jd ed fd gd hd id je fe ge he ie jf gf hf if jg hg ig jh ih jj iMETHOD 2
use formula
Please help! its urgent
Answer:
a)3/6 and 4/6
b)15/20 and 12/20
c)4/6 and 5/6
d)15/20 and 14/20
Step-by-step explanation:
Change the demonimator to the lowest common demonimator. What ever you do to the bottom number to get to the lowest common denominator, multiply the numerator by the same number.
1. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
А
16
y-5=
1
(x + 1); y ==x+
3
3
3
B y- 5= 3(x + 1); y = 3x + 8
C y + 5 = -3(x - 1); y = -3x - 2
D
8
y-1 =
1 = $(x + 5): y = x+
3
Answer:
Step-by-step explanation:
The slope is -3
You can now substitute (1,-5) for x and y
-5= -3+b
b=-2
So in slope intercept form the answer is y=-3x-2
In point slope form the answer is 3x+y=-2
PLEASE HELP ME ASAP!!!
I need help on b!!!
Answer:
See below hot to plot.
Step-by-step explanation:
You did part a correctly and now have 3 points of this graph. For part b you need to plot the line by first plotting the points.
Plot the points on the graph and then connect them with a line.
The three points are (-5, -3), (0, 2), and (3, 5).
To plot (-5, -3):
Start at (0, 0), the origin, where the x-axis and y-axis intersect.
Go 5 units left to the -5. Now go 3 units down. That is point (-5, -3). Put a dot on it.
To plot (0, 2):
Start at (0, 0), the origin, where the x-axis and y-axis intersect.
Since the x-coordinate is 0, don't go right or left. Now go 2 units up to where you see a 2 on the y-axis. That is point (0, 2). Put a dot on it.
To plot (3, 5):
Start at (0, 0), the origin, where the x-axis and y-axis intersect.
Go 3 units right to the 3 on the x-axis. Now go 5 units up. That is point (3, 5). Put a dot on it.
Now connect the three dots with a line. Put arrow heads at both ends of the line.
Answer:
Hope this helps
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Hey there!
m/-2-7=-9
m/-2=-2
m=4
Find the number line with a dot on the 4!
Hope this helps :)
Find the y-intercept of the line. Y=16/13x - 19/6
Answer:
y intercept is -19/6
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
y = 16/13x - 19/6
The slope is 16/13 and the y intercept is -19/6
Answer:
[tex]\boxed{-\frac{19}{6} }[/tex]
Step-by-step explanation:
Use slope-intercept formula.
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope of the line.
[tex]b[/tex] is the y-intercept of the line.
The equation of the line is already in slope-intercept form.
[tex]y=\frac{16}{3} x+-\frac{19}{6}[/tex]
[tex]b= -\frac{19}{6}[/tex]
A container of club soda has a volume of 3200 cubic meter. How many liters of soda does the container hold
Answer:
3200000
Step-by-step explanation:
multiply the volume value by 1000
You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftover piece is long enough, you will use it in another fixture . How long will the leftover piece be ? 23 and 7/8 1 and 51/70 7 and 1/8 6 3/8
Answer: [tex]6\dfrac{3}{8}\text{ inches}[/tex]
Step-by-step explanation:
Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches
[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches ( In improper fraction )
Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches
[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]
Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex] long.
solve the equation 5-8x=-1
Answer:
[tex]x = \frac{3}{4} [/tex]Step-by-step explanation:
[tex]5 - 8x = - 1[/tex]
Move constant to R.H.S and change its sign:
[tex] - 8x = - 1 - 5[/tex]
Calculate
[tex] - 8x = - 6[/tex]
The difference sign (-) will be cancelled in both sides
[tex]8x = 6[/tex]
Divide both sides of the equation by 8
[tex] \frac{8x}{8} = \frac{6}{8} [/tex]
Calculate
[tex]x = \frac{3}{4} [/tex]
Hope this helps...
Good luck on your assignment...
Answer:
Hey there!
5-8x=-1
-8x=-6
x=3/4
Hope this helps!
*ANSWER ASAP PLS* How can someone live smarter to reduce his/her carbon footprint? a.) remove insulation b.) live in a smart community c.) buy inefficient appliances d.) use incandescent bulbs
Answer:
remove insulation ,,,eat low on the food chain
Step-by-step explanation:
u can reduce it by 8 pounds
Answer:
remove insulation
whats 35x25 because idonk know i need a good resoning.
Answer:
875
Step-by-step explanation:
35 x 25 =
30x25 + 5x25
750 + 125
875
The Answer is 875
✍️(◔◡◔) hope this helps <3
Determine the measure of ∠θ using a trigonometric ratio. ANSWERS: A) 45.10° B) 1.00° C) 12.54° D) 17.38°
Answer:
A
Step-by-step explanation:
angle A is 90 and c and b have to be equal
Answer:
Step-by-step explanation:
45.10
Find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled
Answer:
Step-by-step explanation:
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
The probability is 24/36 = 2/3
The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,
there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
Therefore, The probability is 24/36 = 2/3
Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
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