Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q = [tex]360^{o}[/tex] - [tex]324^{o}[/tex]
= 0[tex]36^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
<P + <Q + <S = [tex]180^{o}[/tex]
048° + 0[tex]36^{o}[/tex] + <S = [tex]180^{o}[/tex]
[tex]84^{o}[/tex] + <S = [tex]180^{o}[/tex]
<S = [tex]180^{o}[/tex] - [tex]84^{o}[/tex]
= [tex]96^{o}[/tex]
<S = [tex]96^{o}[/tex]
Applying the Sine rule,
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin 48^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{y}{0.74314}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ y = [tex]\frac{12.63338}{0.99452}[/tex]
= 12.703
y = 12.70 km
[tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{x}{Sin 36^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{x}{0.58779}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ x = [tex]\frac{9.992430}{0.99452}[/tex]
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
can you help me pls it math slop
Answer:
Hi i am sorry but i can not seem to open the picture it say that there is not a file
Step-by-step explanation:
Determine the slope between (2, 10) and (5, 19)
Answer:
m=3
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
9/3
3
HTH :)
3.
* Write a vector that describes the translation of quadrilateral WXYZ if the coordinates
are W(2,2), X(6,2), Y(2,7), Z(6,7) and the coordinates of W'(5,7).
a <3, 5>
b. <5,3>|
c. <3,5>
d. (3,5)
I sin the quadrilateral fra
4
PLEASE ANSWER URGENT WILL GIVE BRAINLIEST AND 20 POINTS.
Ken needs to solve the equation below.
4.7 − y = 10.35
Which statement explains the value of y that makes the equation true?
A) –5.65, because 4.7 must be subtracted from both sides before moving the negative sign to the opposite side
B)5.65, because the only step needed is to subtract 4.7 from 10.35
C)–15.05, because 10.35 and 4.7 must be added before moving the negative sign to the opposite side
D) 15.05, because the only step needed is to add 4.7 and 10.35
C[tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
PLEASE SOMEONE HELP ILL MARK BRAINLIEST AND 5 STARS
2.1/x+ 1 4/5= 3/10x
Answer:
the answer is .3 or 3/10
Step-by-step explanation:
9514 1404 393
Answer:
x = -1
Step-by-step explanation:
Putting the entire equation in decimal form, we have ...
2.1x + 1.8 = 0.3x
Subtracting 0.3x gives ...
1.8x +1.8 = 0
Dividing by 1.8, we get ...
x + 1 = 0
So, the solution is ...
x = -1 . . . . . . subtract 1 from both sides.
_____
Additional comment
Sometimes, when all of the numbers in the equation are divisible by the coefficient of x, it works out well to do that division before separating variables and constants. The other way this could have been solved is ...
subtract 1.8 ⇒ 1.8x = -1.8
divide by 1.8 ⇒ x = -1
Kate is 4 years older than Bob. If the sum of their ages is 28, what are the ages of
Kate and Bob?
Answer:
Kate is 16, Bob is 12
Step-by-step explanation:
Since Kate is 4 years older than Bob, Kate's age is represented by the following equation:
B+4=K
Bob's age is just B
Now, the sum of their ages is 28, which means we add Kate's and Bob's age:
Instead of writing K+B=28, we would write the equation with the same variable:
B+4+B= 28
(B+4= Kate's age)
add like terms
2b+4=28
subtract 4 from both sides
2b=24
divide by 2
b=12
12 is Bob's age and to find Kate's age, we add 4
Kate is 16.
Hope this helps
The volume of a cube is 1.5 m3. Find the length of its edge to the nearest tenth of a meter.
Given:
Volume of a cube = 1.5 m³
To find:
The length of its edge to the nearest tenth of a meter.
Solution:
Let a be the length of its edge.
We know that, volume of a cube is
[tex]V=a^3[/tex]
where, a is edge.
Volume of a cube = 1.5 m³
[tex]a^3=1.5[/tex]
Taking cube root on both sides, we get
[tex]a=\sqrt[3]{1.5}[/tex]
[tex]a=1.14471424[/tex]
Approximate the value to the nearest tenth (one decimal place) of a meter.
[tex]a\approx 1.1[/tex]
Therefore, the length of the edge of the cube is about 1.1 meters.
Sally left the city for vacation. Sandy left six hours later going 82 miles faster to catch up. After 5 hours Sandy caught up. What was Sally's average speed?
Answer: It took Sandy 11 hours to travel the same distance that Sam took 5 hours. {{{R[s]*11=5*75}}}
{{{R[s]=(5/11)*75}}}
{{{R[s]=34.9}}}{{{mph}}}
Don't ask sometimes i don't make sense...
The final answer is 11 hours... Hope this helps... Stay safe and have a great weekend!!! :D
Answer:
68 1/3
Step-by-step explanation:
Going 82 mph faster for 5 hours, Mary closed a (82 mi/h)×(5 h) = 410 mile gap. That gap was created in 3 hours by Sandy going.
(410 mi)/(6 h) = 68 1/3 mi/h
please mark me as brainliest. l am bagging you please.
3x+8>9
x has to equal 1
(if you can please include the steps! i will give brainiest)
Answer:
11>9
Step-by-step explanation:
So you can begin by plugging x=1 into the equation
3(1)+8>9
3*1=3
3+8=11
11>9
What is the y-intercept of the line y + 11=2(x+1.5)
Answer:
-8
Step-by-step explanation:
Turn the equation into slope intercept form [ y = mx + b ]
y + 11 = 2(x + 1.5)
~Distribute right side
y + 11 = 2x + 3
~Subtract 11 to both sides
y = 2x - 8
"b" represents the y-intercept, so, the y-intercept is -8.
Best of Luck!
ce no
M Gma
If the radius of this Ferris wheel is 125 feet and the angle between each seat is 36°,
then what is the height of the Ferris wheel seat at point B if the bottom of the wheel is
20 feet off the ground? (Round to the nearest tenth)
Answer:
The height of the seat at point B above the ground is approximately 218.5 feet
Step-by-step explanation:
The given parameters are;
The radius of the Ferris wheel, r = 125 feet
The angle between each seat, θ = 36°
The height of the Ferris wheel above the ground = 20 feet
Therefore, we have;
The height of the midline, D = The height of the Ferris wheel above the ground + The radius of the Ferris wheel
∴ The height of the midline = 20 feet + 125 feet = 145 feet
The height of the seat at point B above the ground, h = r × sin(θ) + D
By substitution, we have;
h = 125 × sin(36°) + 145 ≈ 218.5 (The answer is rounded to the nearest tenth)
The height of the seat at point B above the ground, h ≈ 218.5 feet.
You are given the radius of a circle. How can you find the distance around it?
Answer:
Circumference - 2 * pi * r
Step-by-step explanation:
multiply radius by 2.
multiply by pi
A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.
Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
PLEASEE HELP MEEEE !!!!!
Answer:
False
Step-by-step explanation:because 2:2 dont line up.
there were 240 customers yesterday, and 200 today, find the percent change.
The asnwer is:
% decrease
Answer my math question I asked so many times I lost most of points by
Answer:
A = -2/3
B = 8
C = -24
Line of symmetry calculation = x = -8/2*(2/3)
Line of symmetry is x = 6
Opens down
Min/man is (6,0)
Vertex is (6,0)
Domain is (-infinity, infinity)
Range is (-infinity, 0)
scrie toti multiplii de trei cifre distincte ai numarului 5, care se pot forma cu cifrele: a) 5, 7 si 8; b) 0, 3 si 5. repede va roggg
Answer:
I will answer in English.
Here, we want to find all the 3-digit multiples of 5, that can be formed with the digits:
a) 5, 7, and 8. (i suppose that we can not repeat the digits)
First, we know that all the multiples of 5 end with a 5 or a 0, then the possible ones here are:
875
785
(the five must always be at the end)
b) 0, 3, and 5.
Now we have two options, if the 5 is at the end, we have:
305
(035 is not an option, because is a 2-digit number).
if 0 is at the end, we have:
350
530
Which statement can john use this figure to prove?
Answer:
Can you post a picture of the figure?
B
+
HH
0
What is the sign of B + A?
Choose 1 answer:
Positive
Negative
Neither positive nor negative-the sum is zero.
Answer:
of answer Is A choose 1 answer positive negative neiter positive nor negative - the sum Is zero
Step-by-step explanation:
Mr. Stokes bought 6 1/2 pounds of meat for a party. He used 2 1/4 pounds of meat to make tacos. The rest he used to make 1/4 pound burgers. How many burgers did Mr. Stokes make?
9514 1404 393
Answer:
17
Step-by-step explanation:
The remaining amount of meat is ...
6 1/2 - 2 1/4 = 4 1/4 = 17/4 . . . pounds
The number of 1/4 pound burgers that can be made with that amount of meat is ...
(17/4)/(1/4) = 17/1 = 17
Mr. Stokes made 17 burgers.
Type of Meat
Price per pound
Ham
5.25
Roast Beef
3.50
Sausage
4.25
Turkey
3.85
Mike has $20 to spend at Steve’s. He orders ½ pound of Turkey and 2 ¼ pounds of Sausage. How much money will Mike have left after he pays for the order?
ACTUALLY ANSWER THE QUESTION OR YOU WILL BE REPORTED AND BANNED.
Answer:
$8.51
Step-by-step explanation:
3.85*.5=1.925
2.25*4.25=9.5625
20-1.925-9.5625=8.5125
Rounding down, Mike will have $8.51 left over. I am not sure how your teacher likes to handle rounding.
25 POINTS!
-
Solve each equation.
Can someone just solve one and explain it? Thank you.
Find the x-intercept(s) and the coordinates of the vertex for the parabola =y−x2−4x5. If there is more than one x-intercept, separate them with commas.
x-Intercept(s):
Vertex:
Answer:
x-intercepts -1, 5.
Vertex is at (2, -9).
Step-by-step explanation:
y = x^2 - 4x - 5
Completing the square:
y = (x - 2)^2 - 2^2 - 5
y = (x - 2)^2 - 9 which is vertex form.
So the coordinate of the vertex are (2, -9).
Finding the x-intercepts:
(x - 2)^2 - 9 = 0
(x - 2)^2 = 9
x - 2 = +/- 3
x = 3 + 2 or -3+2
= 5, -1.
Geometry Help huryyy!(pls right answers only) :(
Answer:
SRQ=24°
QTS=30°
RST=60°
RSQ=30°
Step-by-step explanation:
All angles in a triangle will always=180.
First we will find RQT
30+24+Q=180
Subtract 54 from each side
Q=126
Since All lines meet in the middle at Q, then each if those angle measures are equal.
We'll find SRQ first:
We don't know S but we know R is 24 and Q is 126
126+24+S=180
subtract 150
S=30°
QTS:
It tells us that T is 70° so that's all we need for this
RST:
We found half of S which was 30, so 30•2= 60 so RST=60
RSQ:
We already found the half of S which was 30°
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
SOMEONE HELP ASAP !!NEED THIS IN FIVE MINS !! I’ll give brainliest!! Please and ty !!!
Answer:
Expression: [tex]\pi(\frac{D}{2})^{2}h-\pi(\frac{d}{2})^{2}h[/tex]
Volume: [tex]339.29cm^{3}[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is: [tex]\pi r^{2}h[/tex]. Since we are given the diameters instead of the radius, we divide the diameters by 2 to get the radius.
∴ The expression for the volume of the large cylinder after the hole was removed is [tex]\pi (\frac{D}{2})^{2}h - \pi(\frac{d}{2})^{2}h[/tex]
Approximate volume:
Substitute the numbers in:
[tex]\pi(\frac{8}{2})^{2}\times9-\pi(\frac{4}{2})^{2}\times9=339.29cm^{3}[/tex] (to the second decimal place)
∴ The volume of the big cylinder after removing the cylindrical hole is approximately [tex]339.29cm^{3}[/tex]
If you had 1 day to do anything... what would it be?
Answer: Simple. All the things that I could possibly do.
There are many wishes that I hold and with the opportunity given to do anything for one day, who knows what I could do? But one of the most important thing that I would really like to do is to meet someone that I really have wanted to meet for so long. That's one of the things that I'd truly like to do. Another thing is to have as much fun as I can. Be able to go somewhere or to visit something, that would be really nice. of course there are more things that I'd like to do but it would just be too much to list. :)
Answer:
if i had one day to do anything...
Step-by-step explanation:
i'd travel the world go to as many places as possible i'd meet as many pple as possible i'd try as many new things as possible... i'd go sky diving, i'd get a tattoo *alotta tattoos lol* i'd learn to surf, i'd go in a hot air balloon, i'd swim with dolphins, i'd try on wedding dresses, i'd buy Chanel just to show it off, then i'd give it away to some nice less fortunate kid. i'd just do everything on my bucket list yk? thanks for the pt's mate, much appreciated, blessings, xx, nm <3 :)
15.9-8.92 I suck at decimals
Answer:
6.98
Step-by-step explanation:
The answer would be 6.98 after subtracting 8.92 from the 15.9 after applying arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The number expression is:
= 15.9-8.92
As we know from the definition of the arithmetic operation: Addition, subtraction, multiplication, and division are the basic operations that make up this system.
In the expression subtract 8.92 from the 15.9
After applying the arithmetic operation:
= 6.98
Thus, the answer would be 6.98 after subtracting 8.92 from the 15.9 after applying the arithmetic operation.
Learn more about the arithmetic operations here,
brainly.com/question/25834626
#SPJ6
Is she correct or incorrect Explain why she is correct or incorrect?
we need more stuff sorry but we can't awnsers it doesn't give enough instructions but from that I would say incorrect
Answer:
She is correct
8. Jocelyn paid to enter the amusement park and lost her receipt! She knows that one ride would
cost her $24.50 and 4 rides would cost her $83.
a. What is the cost per ride? (slope)
b. Write a Next/Now statement for the situation above.
C. Write an equation (y =) for the situation above
Answer:
a) $19.5
b) Next = Now + 19.5
c) y = 19.5x+24.5
Step-by-step explanation:
m=y2-y1/x2-x1
m=83-24.5/4-1
m=58.5/3
m=19.5
b) Next = Now + 19.5
c) y = 19.5x+24.5
Find the value of x. (6x - 3)º с 75° d The value of x is
answer: x = 18
have:
75 + 6x - 3 = 180
<=> 6x = 180 +3 -75 = 108
<=> x = 108/6 = 18