The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
Find the value of x.
Answer:
6
Step-by-step explanation:
The two small triangles are congruent by SAS.
By CPCTC, x = 6.
Answer: 6
All repeating decimals are irrational True or false
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:
NO CAP PLEASE, TAKE YOUR TIME!!!
Answer:
Perimeter = 82 units
Step-by-step explanation:
Find:
Perimeter
Computation:
Unknown height = 13 + x
So,
25² = x² + 24²
x = 7
So,
Unknown height = 13 + 7
Unknown height = 20 unit
Perimeter = 25 + 24 + 13 + 20
Perimeter = 82 units
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
Identify the slope and y-intercept of the following equation:
3x - 2y = -10
Answer:
m=3/2,y-int=5
Step-by-step explanation:
y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.
The final statement is: Area of triangle is equal to 83.65 cm²
What is the Area of a Triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm
Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm
Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]
=[tex]\sqrt{6998.401}[/tex]
=83.65 cm²
Hence, The area of the triangle is equal to 53.65 cm²
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What is the surface area of the right prism below?
Please help me with this.
Answer:
105
Step-by-step explanation:
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
Please help me with this i will give brainliest
Answer:
i think it's 10%
Step-by-step explanation:
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
what is the average of these numbers
3, 5, 6
Answer:
4.66666666667.
Step-by-step explanation:
3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.
my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
question is in picture i forgot how to do this and my sister is working on it rn anyone help?
Answer:
it's A.
Step-by-step explanation:
so basically an open circle means < or >
a closed circle (the filled in one) means greater/least than or equal to
the sign > with an equal sign under it
hope this helps I forgot too for a minute lol
Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
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A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.
Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?
n = 2t
n = 2^t
n = t^2
n =
Tom spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars?
Answer:
Tom's weekly allowance is $16.
Step-by-step explanation:
With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:
$15-$7=$8
Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:
$8*2=$16
According to this,the answer is that Tom's weekly allowance is $16.
A student simplified the expression (3x^2+2)-(2x^2+4) as x^2+^6 Explain what the student did incorrectly and state the correct answer.
Answer:
x^2 - 2
Step-by-step explanation:
The correct procedure would have been to distribute the negative to the +4 also, so you would have +2 - 4 = -2 so the final answer should have been
x^2 - 2
(3x²+2)-(2x²+4)
write in a different form, remove parentheses
3x²+2-2x²-4
calculate the value of the corresponding terms
x²-2
Answer: Yes, he made a mistake.
A simplified expression would look like this x²-2 and not like this x²+^6.
How do you graph it ?
Answer:
It should look like this
Step-by-step explanation:
hope it helps
2a + 3b = 5
b = a - 5
Answer for A:
[tex]a = \frac{5 - 3b}{2} [/tex]
Answer for B:
[tex]b = \frac{5 - 2b}{3} [/tex]
2nd Equation:Answer:
[tex]a = b + 5[/tex]
hope it helps.