Answer:
First, let's define our coordinates.
Let's call East as the positive x-axis and North as the positive y-axis.
Now the data that we have is:
Speed = 4 mph
Time = 3 hours.
Then the total distance traveled is:
D = 4mph*3h = 12 miles.
We also know that the angle is S 35° E.
(from east, 35° to south)
So we can write this angle as -35°.
Then if we want to know the component in South and East, we can first think this in polar coordinates
(R, θ)
where R = 12 miles, and θ = -35°
Now with this, we have that:
X = R*cos(θ) = the displacement to the east.
Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).
Then we have:
X = 12mi*cos(-35°) = 9.83mi
Y = 12mi*sin(-35°) = - 6.89 mi.
Then:
The displacement to the East is X = 9.83 miles
The displacement to the South is -Y = 6.89 miles.
The magnitude of southern displacement of the hiker is 6.88 miles.
The magnitude of eastern displacement of the hiker is 9.83 miles.
The given parameters;
Velocity of the hiker, v = 4 mphPosition of the hiker, θ = S 35⁰ ETime of motion, t = 3 hoursThe resultant displacement of the hiker is calculated as follows;
D = vt
D = 4 mph x 3 h
D = 12 miles
The magnitude of southern displacement of the hiker is calculated as follows;
[tex]D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles[/tex]
The magnitude of eastern displacement of the hiker is calculated as follows;
[tex]D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles[/tex]
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Which expression is equivalent to -36 - 8? Choose 1 answer:
Answer:
-44
Step-by-step explanation:
[tex] - 36 - 8 = - 44[/tex]
If the length of a side of an
equilateral triangle is x, what is half of the perimeter?
Answer:
3/2 x
Step-by-step explanation:
length of a side of an equilateral triangle is x
The perimeter is
P = 3s where s is the side length
P = 3x
1/2 of the perimeter
1/2 (3x)
3/2 x
Solve: V=nr^2h ; for r.
Answer:
[tex]r=\sqrt{\frac{V}{nh} }[/tex]
Step-by-step explanation:
[tex]V=nr^{2}h\\\frac{V}{nh}=\frac{nr^{2}h }{nh}\\\frac{V}{nh}=r^{2}\\\sqrt{\frac{V}{nh} }=\sqrt{r^{2} }\\r=\sqrt{\frac{V}{nh} }[/tex]
1.25x12 divided by 0.6
(1.25 x 12)/ 0.6=
25
Hope this helps :)
Which statement is NOT true about Rational Numbers ? ( 2 answers ) a . Whole Numbers are Rational Numbers b . Integers, Whole Numbers, and Natural numbers are Rational Numbers. c. Only fractions are rational d. Repeating decimals and terminating decimals are Rational number.
Answer:
The answers are A and B.
Step-by-step explanation:
To which subset(s) of real numbers does the number -4 belong? Choose all that apply Irrational numbers Integers Whole numbers Natural numbers Rational numbers
Answer:
The answer is: Integers, and Rational Numbers.
Step-by-step explanation:
the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
The number -4 belongs to the following subsets of real numbers:
1. Integers: Integers include all positive and negative whole numbers, as well as zero. Since -4 is a negative whole number, it is an integer.
2. Whole numbers: Whole numbers include all non-negative integers. Since -4 is negative, it is not a whole number.
3. Natural numbers: Natural numbers include all positive integers. Since -4 is negative, it is not a natural number.
4. Rational numbers: Rational numbers include all numbers that can be expressed as a ratio of two integers, where the denominator is not zero. -4 can be expressed as -4/1, where -4 is an integer and 1 is also an integer. Therefore, -4 is a rational number.
In conclusion, the number -4 belongs to the subsets of real numbers: Integers and Rational numbers.
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This animation shows a situation in which two quantities are related. Enter the independent quantity in this situation: Enter the dependent quantity in this situation:
Answer:
[tex]\Large \boxed{\mathrm{independent: \ time}} \\\\\\ \Large \boxed{\mathrm{dependent: \ elevation }}[/tex]
Step-by-step explanation:
The independent variable is on the x-axis.
The independent quantity is time.
The dependent variable is on the y-axis.
The dependent quantity is elevation.
Answer:
The dependent variable is on the y-axis.
The dependent quantity is elevation.
The independent variable is on the x-axis.
The independent quantity is time.
how far will you travel in 4 seconds flying at a rate of 132 m/s?
Answer:
528 m
Step-by-step explanation:
Speed = Distance / Time
= Distance = Speed × Time
= 4 × 132
= 528 m
Answer:132×4=528
Step-by-step explanation:
For every second add another 132, as it's units are metres per second
The length of an alligator on a zoo is 14 5/8 feet the everglades national park lists the longest alligator in Florida at 17 5/12 feet what is the differences in their lengths
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man
In Australia the speed limit is generally 80-110 km/h depending on the conditions of theroad. If someone in Australia is driving at a speed of 90 km/h, what would their speed be in miles per
hour? Show your work. Round to the nearest thousandth.
Answer:
55.923 MPH
Step-by-step explanation:
Divide by 1.609
Guys I’m scared to ask my dad for help cus he just helped me and the info went right out the window? Can someone help me? Ik the answer but I needa show work
Answer:
14. -5√30 +3√2
15. 18√5 -30√3
Step-by-step explanation:
You can multiply radicals using ...
(√a)(√b) = √(ab)
And you can simplify radicals using ...
√(a²b) = a√b
_____
14. Using the distributive property, then simplifying the radicals, we have ...
[tex]\sqrt{3}(-5\sqrt{10}+\sqrt{6})\\\\=-5\sqrt{3\cdot10}+\sqrt{3\cdot6}\\\\=-5\sqrt{30}+\sqrt{3^2\cdot2}\\\\=\boxed{-5\sqrt{30}+3\sqrt{2}}[/tex]
__
15. Similarly, ...
[tex]-2\sqrt{15}(-3\sqrt{3}+3\sqrt{5})\\\\=6\sqrt{15\cdot3}-6\sqrt{15\cdot5}\\\\=6\sqrt{3^2\cdot5}-6\sqrt{5^2\cdot3}\\\\=\boxed{18\sqrt{5}-30\sqrt{3}}[/tex]
A____ is a fixed position in space and has no dimensions or size. hins
Answer:
Point
Step-by-step explanation:
This is the definition of a point.
A "point" is a fixed position in space and has no dimensions or size.
Cheers.
Answer:
A point is a fixed position in space and has no dimensions or size.
28,000 times what is 1,251,000,000
Answer:
The number is 312750/7
Step-by-step explanation:
(312750/7)*28000=1251000000
Answer:16
Step-by-step explanation:
Glue
Write 7.35 as a mixed number.
Answer:
7 7/20 is the answer.
Answer: 7 7/20
Step-by-step explanation:
Rewrite the decimal number as a fraction with 1 in the denominator
7.35=7.35 / 1
Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100
7.35/ 1 × 100/ 100=735 / 100
Find the Greatest Common Factor (GCF) of 735 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5
735 ÷ 5 = 147
100 ÷ 5 = 20
Divide 147/ 20 = 7 7/20
What is the value of -2x+3yz if x=3, y=6, and z=
Answer:
Step-by-step explanation= 33
Prove theorems about triangles
a) impossible
b) the sum of the angles in a triangle is 180°
63° + 59° + 57° = 179°
7 Car A uses petrol at the rate of 4.8L/100 km, whereas car B uses it at a rate of
10L/100 km. What will the difference in petrol costs be in a year in which both
cars travel 30000 km, if the petrol costs on average $1.45/L?
Step-by-step explanation:
30,000 km × (4.8 L / 100 km) × ($1.45 / L) = $2088
30,000 km × (10 L / 100 km) × ($1.45 / L) = $4350
The difference is $4350 − $2088 = $2262.
Solve 6x+7=k solve for x
Answer:
[tex]\Large \boxed{x= \frac{k-7}{6} }[/tex]
Step-by-step explanation:
[tex]6x+7=k[/tex]
Subtracting 7 from both sides.
[tex]6x=k-7[/tex]
Dividing both sides by 6.
[tex]\displaystyle x= \frac{k-7}{6}[/tex]
Sheila Little has a gross monthly income of $3500. She has 15 remaining payments of $147 on a used car. The taxes and insurance on the house are $85 per month. What maximum monthly payment does the bank's loan officer feel that Sheila can afford?
Answer:
the maximum monthly payment is $958
Step-by-step explanation:
The computation of the maximum monthly payment for affording is shown below;
Let us assume that there is a 34% of the gross monthly income
So, it would be calculated below:
= Given percentage × gross monthly income - payments made - taxes & insurance per month
= 0.34 × $3,500 - $147 -$85
= $958
hence, the maximum monthly payment is $958
what is an numerator
Answer:
A numerator is the top part of a fraction.
Step-by-step explanation:
__2__
3
In the above fraction 2 is the numerator and 3 is the denominator.
translating verbal expression: the quotient of twice a number t and 13
Answer:
My answer to the question is 2t÷13.
Answer:
[tex]\Huge \boxed{\frac{2t}{13} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The number t is doubled.
[tex]\Rightarrow t *2[/tex]
[tex]\Rightarrow 2t[/tex]
Quotient is the result after dividing two or more values.
[tex]\Rightarrow \displaystyle \frac{2t}{13}[/tex]
[tex]\rule[225]{225}{2}[/tex]
after being transformed the new point is called a(n):
It is called a image
Answer:
NEW Image
Step-by-step explanation:
someone help me please
Answer:
[tex]\dfrac{-20d^3t^2}{v^5}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
[tex](4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}[/tex]
Solve for w. |w-3|+8=24 one of the answers i know is 19 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". PLZ HELP
Answer:
w = 19 or w = -13
Step-by-step explanation:
Solve for w over the real numbers:
abs(w - 3) + 8 = 24
Hint: | Isolate terms with w to the left hand side.
Subtract 8 from both sides:
abs(w - 3) = 16
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
w - 3 = 16 or w - 3 = -16
Hint: | Look at the first equation: Solve for w.
Add 3 to both sides:
w = 19 or w - 3 = -16
Hint: | Look at the second equation: Solve for w.
Add 3 to both sides:
Answer: w = 19 or w = -13
If B is the midpoint of line segment AC, AB=20, and BC=4x-4, find x.
Answer:
x = 6
Step-by-step explanation:
B is the midpoint of AC. So, the length of AB equals length of BC
BC = AB
4x - 4 = 20 {add 4 to both sides}
4x -4 + 4 = 20 + 4
4x = 24 { divide both sides by 4}
4x /4 = 24/4
x = 6
solve the equation below
for the indicated variable
1/3ab^2=6 (solve for a)
Answer:
a=18/b2
Step-by-step explanation:
The required equation for the indicated variable is a = 18/b² which is solved for a.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given the equation for the indicated variable as
⇒ 1/3ab² = 6
Multiply by 3 both sides of the above equation,
⇒ ab² = 6×3
⇒ ab² = 18
Divide by b² into both sides of the equation, and we get
⇒ a = 18/b²
Therefore, the required equation for the indicated variable is a = 18/b².
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The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t. Amit ran for 404040 minutes at a speed of about 555 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers?
Answer:
5 x 40/60
Step-by-step explanation:
The distance Amit ran will be 3.34 kilometers in 40 minutes.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
It is given that the distance traveled over time t and at an average speed is s. Amit ran for 40 minutes at a speed of about 5 kilometers per hour.
The distance will be calculated by using the speed formula:-
Speed = Distance / time
Convert the formula to calculate distance.
Distance = Speed x Time
Distance = 5 x ( 40/60 )
40/ 60 is the time in hours.
The distance will be calculated as:-
Distance = 10 / 3
Distance = 3.34 kilometers
Therefore, the distance Amit ran will be 3.34 kilometers in 40 minutes.
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Central subs made 27 sandwiches using 12 pounds of turkey, how much turkey was used per sandwich?
Answer: [tex]\frac{4}{9}[/tex] lbs of turkey
Step-by-step explanation:
hey there,
< Since we know 27 sandwiches = 12 lbs, then let's make a ratio table.
27 sandwiches = 12 lbs
1 sandwich = ? lbs
The way you solve a ratio table is multiply the two amounts that cross each other that do not include the thing we are trying to find. Here, it would be 12 lbs x 1 sandwich, as they are right across from each other and there is no "?" within either of those two. 12 x 1 = 12. Now, divide by the last amount left that we haven't touched yet (27 sandwiches).
12 ÷ 27 = [tex]\frac{12}{27}[/tex] = [tex]\frac{4}{9}[/tex] lbs of turkey or you can change it to a decimal so it would be 0.44 lbs (not precise so it's better to use a fraction). >
Hope this helped! Feel free to ask anything else if you still have questions.
Answer:
4/9 lbs per sandwich
Step-by-step explanation:
We want turkey per sandwich
12 lbs turkey/ 27 sandwiches
4/9 lbs per sandwich
Write –3/8 as a decimal number.
Answer:
-0.375
Step-by-step explanation:
you just divide the numbers.
17) 74x^2
What is the prime factorization of 74x^2?