Answer:
The distance between them is 277.84 m
Step-by-step explanation:
See comment for complete question.
Given
Boat A:
[tex]Speed = 24mph[/tex]
[tex]\angle A = 340^{\circ}[/tex]
Boat B:
[tex]Speed = 35mph[/tex]
[tex]\angle B = 200^{\circ}[/tex]
[tex]Time = 5hr[/tex]
First, we calculate the distance traveled by both boats in 5 hours
[tex]Distance= Speed * Time[/tex]
[tex]Boat\ A = 24mph * 5hr = 120m[/tex]
[tex]Boat\ B = 35mph * 5hr = 175m[/tex]
For more clarity, I'll make use of the attached image to represent the system.
From the attachment, we are to calculate distance C, but first we calculate the angle between them.
[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]
[tex]\theta = 140^{\circ}[/tex]
C is then calculated using cosine law:
[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]
This gives:
[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]
[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]
[tex]C^2 = 14400 + 30625 + 32172[/tex]
[tex]C^2 = 77197[/tex]
Take square root of both sides:
[tex]C = \sqrt{77197[/tex]
[tex]C = 277.84[/tex]
The distance between them is 277.84 m
A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.
Answer:
Step-by-step explanation:
multiple choice geometry helPppp
Answer: D
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.
sin(x) = 7/13
Take the inverse sine on both sides by using a calculator to get:
x = 32.58°
Answer:
32.58° that the answer hope this helps
6=2(y+2) y=?
please help
==========================================================
Explanation:
There are two ways to solve this
The first method will have us distribute the 2 through to each term, then we solve for y
6 = 2(y+2)
6 = 2y+4 .... distribute
2y+4 = 6
2y = 6-4 .... subtract 4 from both sides
2y = 2
y = 2/2 .... divide both sides by 2
y = 1 is the answer
-------------
Or we can solve through this set of steps
6 = 2(y+2)
6/2 = y+2 ...... divide both sides by 2
3 = y+2
y+2 = 3
y = 3-2 .... subtract 2 from both sides
y = 1
Either way, we get the same answer.
-------------
To check the answer, replace every copy of y with 1
Simplifying should lead to 6 on the right side
6 = 2(y+2)
6 = 2(1+2)
6 = 2(3)
6 = 6
Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.
how muck is in kilograms?
Answer:
1000grams= 1 kilogram
Step-by-step explanation:
Answer:
1000 grams = 1 Kilo
Can someone just please help me I beg you
Answer:
8 by 6986 = quotient 873 remainder 2
M= 800x8 =6400
N= 560/8=70
P= 26/8 =3
Q=3x8=24
R=26-24=2
I need brainliest so I can rank up
Step-by-step explanation:
yes good haware you good
A salesperson at a jewelry store earns 8% commission each week. Last week, Ali sold $450 worth of jewelry. How much did Ali make in commission? How much did the jewelry store make from her sales?
Answer:
she earned 36$ and the store earned 409.5
Step-by-step explana
8% of 450
91% of 450
(4x+7) (4x-7)=
give the solution pleasee
Answer:
16x - 49
Step-by-step explanation:
Answer:
Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..
please help, first person with the right answer will be rewarded!!
Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?
Answer:
1
1
3
cups
Explanation:
This is a ratio question. If we are comparing the ratios, we could say
24
36
=
x
2
where x = the amount of sugar to make 24 cookies.
We can multiply both sides by 2 to cancel the 2 on the right, making
24
(
2
)
36
=
x
.
Simplify this and we get
48
36
and eventually
4
3
or
1
1
3
.
Step-by-step explanation:
pls answer this question
Answer:
id kkk what the quequestion is
Step-by-step explanation:
A bowling ball travels along the lane at a constant rate. The ball travels ⅟₁₀ of the length of the lane in ¼ seconds. At that rate, how many seconds does it take the ball to travel the entire length of the lane?
Answer:
2 1/2 seconds
Step-by-step explanation:
10×1/4=10/4=21/2 seconds
PLS HELP!!
Solve for an angle in right triangles
B = ???
round your answer to the nearest hundredth
Answer:
100
Step-by-step explanation:
what is the distance between 5,4 and -1,1
Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)
d = [tex]\sqrt{(-1-5)^2+(1-4)^2}[/tex]
= [tex]\sqrt{(-6)^2+(-3)^2}[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{5}[/tex] ← exact value
≈ 6.71 ( to 2 dec. places )
help me pls kinda stuck lol
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = [tex]\frac{0+6}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{6}{-2}[/tex] = 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
Identify any solutions to the system shown here.
2x + 3y 26
3x +2y 56
Answer:
Add more points (0.5, 2), (-2,4)
Step-by-step explanation:
Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?
Step-by-step explanation:
since it is a circle the diameter is two times larger than radius.So 4×2=8km
NEED HELP MATH HOMEWORK ASAP plz help
please i need this, i've been crying bout it, What is an equation of the line that passes through the point (4,2) and is perpendicular to the line 4x+3y=21?
Answer:
y= 3x/4 − 1
Step-by-step explanation:
finding value of x. PQR
P- 2x°
3
3
3
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equilateral Triangles.
Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.
Equilateral triangle has one all angles equal to 60°.
so, major angle P = 60°
hence, 2x=60°
===> x = 30°
Find -2(3 - 8) + 3 (12 - 8)
What is the answer to this question?
Answer:
22
Step-by-step explanation:
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t²+55t+50, where h is the height of the bird t and is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40 feet in the air for the first time?
9514 1404 393
Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
The y-intercept is 7.
B.
The line has a positive slope.
C.
The point (1, 4) lies on the line.
D.
This line is parallel to the line whose equation is y = 2x – 7.
Answer:
B
Step-by-step explanation:
because the slopes is 3.
Write an solve the inequality. A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student can pay up to $135.25. How many times can the student go to the gym?
Answer:
25 visits
Step-by-step explanation:
Given data
One time fee= $10.25
let the number of times visited be x
and the total cost for x visits be y
Hence
y=10.25+5x------------1
for y=135.25
let us find x
135.25= 10.25+5x
135.25-10.25= 5x
125=5x
x= 125/5
[tex]x\geq 25 visits[/tex]
Each Parking Spot is 8 feet Wide A parking lot has 24 parking spots side by side What is the width measured in yards of the parking spots
Step-by-step explanation:
.................................
There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?
Answer:
SAS theorem
Step-by-step explanation:
Given
Triangles ABC and DEF
[tex]AB = ED[/tex]
[tex]AC = DF[/tex]
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]
Required
Which theorem shows the similarity between both triangles
The following can be deduced from the given parameters.
[tex]AB = ED[/tex] ===> Equal Sides
[tex]AC = DF[/tex] ===> Equal Sides
[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle
This implies that two sides and 1 angle of both triangles are equal.
Hence, the theorem to use is the SAS theorem.
Can someone help me with this answer thank you
Answer: bro cmon this is simple m8 but i will still help :D
Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!
Solve for x:
(a) 4x - 21 = 5 - 9x
Answer:
X = 2
Step-by-step explanation:
First we'll need to simplify this equation:
Add 9x on both sides:
13x - 21 = 5
Add 21 on both sides:
13x = 26
Divide 26/13
26/13 = 2
X=2
(You can check this yourself by plugging x into the equation)
What is the answer to 2/6 + 1/2?
Answer: hey, there
your answer is 5/6
Step-by-step explanation:
=
2
6
+
1
2
=
1
3
+
1
2
=
2
6
+
3
6
=
2+3
6
Answer:
5/6
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/6, 1/2) = 6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(26×11)+(12×33)=?
Complete the multiplication and the equation becomes
26+36=?
The two fractions now have like denominators so you can add the numerators.
Then:
2+36=56
This fraction cannot be reduced.
Therefore:
26+12=56
Solution by Formulas
Apply the fractions formula for addition, to
26+12
and solve
(2×2)+(1×6)6×2
=4+612
=1012
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2
10÷212÷2=56
Therefore:
2/6+1/2=5/6
(hope this helps can i plz have brainlist :D hehe)
Please can someone help me I can’t fail this test
Answer:
x=7 y=4
Step-by-step explanation:
couldnt really see the question but i hope this helps
A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides.
Answer:
18 cm ;
2 cm
Step-by-step explanation:
Length of each adjacent side = 1 :3
If 1 side = 6 ; the possible values of the adjacent side ;
That is side 2 ÷
If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm
If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm
Hence, the two Possible values of the adjacent side = 18 cm or 2 cm
