Answer: The plane is 246.4 kilometres from Dryden (approximately)
Step-by-step explanation: Please refer to the picture attached for further details.
The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.
However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.
The cosine rule states as follows;
c² = a² + b² - 2abCosC
Substituting for the given variables in this question, the formula can be expressed as follows;
t² = d² + p² - 2dpCosT
Substituting for the known values, we now have,
t² = 80² + 320² - 2(80*320)Cos20
t² = 6400 + 102400 - 2(25600)0.9396
t² = 108800 - (51200) * 0.9396
t² = 108800 - 48107.52
t² = 60692.48
Add the square root sign to both sides of the equation
√t² = √60692.48
t = 246.3584
t ≈ 246.4
Therefore, the plane is approximately 246.4 kilometres from Dryden.
HELP ASAP!!
What is the surface area of a CUBE where the length of each edge is 4 feet?
A) 12 feet
B) 24 feet
C) 64 feet
D) 96 feet
Answer:
96
Step-by-step explanation:
Each face of the cube has an area of 4 * 4 = 16 and since there are 6 faces on a cube the answer is 16 * 6 = 96.
A sugar cookie recipe that makes 3 dozen cookies calls for 1.5 cups of white sugar. How much white sugar would you need to make 5
dozen cookies?
Answer:
Brainliest here!
Step-by-step explanation:
3 dozen cookies = 1.5 cups
one dozen cookies= 0.5 cups
5 dozen cookies = 2.5 cups of sugar
–5 d + (–6) u – 3, when d = 2 and u = 7
Answer:
-55
Step-by-step explanation:
when d= 2 and u=7
-5(2)-6(7)-3
-10 - 42 -3 = -55
Please mark as Brainlest
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 4 is an expression.
3x = 4 is an expression.
We have,
-5d + (-6)u - 3 ______(1)
Substitute d = 2 and u = 7 in (1).
-5 x 2 + (-6) x 7 - 3
Add all the like terms.
-10 - 42 - 3
-10 - 45
- 55
Thus,
The final value of the expression -5d + (-6)u - 3 when substituted d = 2 and u = 7 is 55.
Learn more about expressions here:
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Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers
Answer:
Step-by-step explanation:
if the number is below 5, go down
if the number is 5 or above, go up
1,600 is closer to 2,000
1,483 is closer to 1,000
Then, 2000 > 1000
Answer:
Brainliest!
Step-by-step explanation:
1600 rounded is 2000
1483 rounded is 1000
can somone answer number 12, I really need it bad, please help .
Answer:
-24
Step-by-step explanation:
f(x) = 3x^3 -12x^2
f(2) = 3 * (2)^3 - 12 (2)^2
= 3 (8) - 12 (4)
= 24 - 48
= -24
Answer:
D. f(2)= -24
Step-by-step explanation:
To solve this problem, we want to find what f(x), or y is, when x is equal to 2.
f(x)=3x³-12x²
Therefore, we can substitute 2 in for every x.
x=2
f(2)=3(2³)-12(2²)
Evaluate the exponents first.
2³ is equal to 2*2*2, which equals 8.
2² is equal to 2*2, which equals 4.
f(2)=3(8)-12(4)
Multiply 3 and 8.
f(2)=24-12(4)
Multipy 12 and 4
f(2)=24-48
Subtract 48 from 24.
f(2)=-24
Therefore, the correct answer is D. f(2)= -24
Look at the graph What is slope of the line
Answer:
You didn't insert the/a file
Step-by-step explanation:
A set of numbers is said to be COMMUTATIVE under the operation '+' if m + n = n + m, for any two numbers m and n of that set. Similarly, a set of numbers is said to be COMMUTATIVE under the operation '×' if m × n = n × m.
Which of the following sets is COMMUTATIVE under the operation '-'?
A)the set of integers
B)the set of natural numbers
C)the set of rational numbers
D)none of the above
Answer:
A) the set of integers is commutative under operation '-'
The commutative property holds for Addition and Multiplication, but not for subtraction and division.
So, option (D) is correct.
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
The commutative property holds for Addition and Multiplication,
Example, [tex]2+4=4+2[/tex]
[tex]3*2=2*3[/tex]
The commutative property does not holds for subtraction and division.
Example, [tex]3-2\neq 2-3[/tex]
[tex]4/2\neq 2/4[/tex]
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simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
which graph represents a quadratic function with a vertex at (0,0)
Answer:
parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.
Step-by-step explanation:
Answer: C) the third graph
Step-by-step explanation: i got 100% on my quiz, hope this helps!!
Jacqui makes $35 an hour working as an accounting assistant. She works 40 hours each month. Jacqui will have made $___ after she’s worked 7 months.
Answer:
she'll have $9800
Step-by-step explanation:
35 (money in an hour) times 40 (hours each month) is 1400 (money mad in a month)
1400 times 7 (how many months) is 9800
Jacqui have earned $9800 after she’s worked 7 months.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Jacqui makes $35 an hour working as an accounting assistant.
She works 40 hours each month.
Here, number of hours she worked in 7 months
= 40×7
= 280 hours
Total money = 280×35
= $9800
Therefore, Jacqui have earned $9800 after she’s worked 7 months.
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HELP FAST 5√6 As a Whole Radical
Answer:
sqrt(150)
Step-by-step explanation:
We want to write the whole number inside the radical
5 = sqrt(5*5)
We know that sqrt(a) sqrt(b) = sqrt(ab)
5 * sqrt(6)
sqrt(5*5) * sqrt(6)
sqrt(5*5*6)
sqrt(150)
Answer:
[tex]\sqrt{150}[/tex]
Step-by-step explanation:
since the 5 is out of the sqrt root, you need to ^2 to put it back in again.
[tex]5^{2}[/tex]=25
and then in the sqrt you multiply the two variables
6* 25 = 150
so the answer is sqrt{150}
Plzzzzz urgenttttt❤️❤️❤️
D. 2322.50
Step-by-step explanation:
I hope it's right.
I need help with this question.
12^2 + 9^2 = x^2
144 + 81 = x^2
225 = x^2
√225 = √x^2
x = 15
we can describe 12×-8 as an expression . it can also be written as 4(3×-2) 4 and 3×-2 are both...of 12×-8
Answer:
factor
Step-by-step explanation:
need help asap Polygon ABCD has the following vertices: A(−5, 4), B(1, 4), C(6, −4), and D(−5, −4) Calculate the area of the polygon.
68 is the area of the given polygon
State true or false
The measure of the supplementary angle of the complementary angle of an angle with measure 35 degree is 125 degree
Answer:
True
Step-by-step explanation:
90-35=55degree
180-55=125°
What is the formula for the circumference of a circle in terms of r?
Answer:
2 x pi x r
Step-by-step explanation:
i just copy n pasted this on google
Step-by-step explanation:
c= 2πr
please thank youuu asap!!!!!!!!!!!!!!!!!
All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)
Draw a straight line through (0,0) and (3,5) to graphThe equation of this line is y = (5/3)x
5x - 10 = 0 in division property of equality form
Answer:
x = 2
Step-by-step explanation:
5x = 10
x = 2
if a car cover a distance of 189km in 4.5 hours, what is it average speed?
Answer: 42 kmh
Step-by-step explanation:
Speed = distance / time
= 189 / 4.5
= 42 kmh
Answer:
Average Speed = 42 km/hr
Step-by-step explanation:
Given:
Distance = 189 km
Time = 4.5 hours
Required:
Average Speed = ?
Formula :
Average Speed = Total Distance Covered/ Total Time Taken
Solution:
Putting the givens
Average Speed = 189/4.5
Average Speed = 42 km/hr
Which polynomial is in standard form?
Answer:
B
Step-by-step explanation:
When a polynomial is in standard form, it is arranged in the order of largest power first, followed by the next largest, and then so on. The only polynomial here that follows this rule is the second one, or choice B. Hope this helps!
Help will mark brainliest
Answer:
- 1 4/5
Step-by-step explanation:
-1 1/5 + - 3/5
Since the signs are the same, we add and take the sign
1 1/5 + 3/5
1 4/5
The sign is negative
- 1 4/5
On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative) you will end up at - 1 4/5
Someone who knows what they doing
Answer: 25.12 and 12.56
Step-by-step explanation:
in the formula, you will notice that you are trying to identify the base(b) and calculate the volume(V). and they are written at the top of the page, 12.56 cm^2 and 25.12cm^3. so the missing things are 25.12 and 12.56.
which two operations are needed to write the expression that repersents "four times the difference of a number and three"
Answer:
4 (x-3)hhkjcdrtuvddistheansww
Find a. Roud to the nearest tenth:
2cm
15*
a
105*
c
Answer:
So since we use law of sines. We can get 2 fractions equal to eachother but first we need to solve for missing angle. That would be 180-105-15 = 60
So now we can get a fraction. So that means that sin(105)/2 = sin(60)/a
Then we do recipricol. 2/sin(105) = a/sin(60)
multiply by sin(60) both sides.
2sin(60)/sin(105) = a
round and solve and we get a is equal to
1.7931 or 1.8
+18 pts
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Help please !
Find attached to this answer, the appropriate diagram that would help us better understand the question
Answer:
10779 feet
Step-by-step explanation:
We would be using the Trigonometric function called Tangent to solve this question.
tan θ = Opposite side / Adjacent side
From the attached diagram,
θ = 33°
Opposite side = 7000 feet
Adjacent side = the distance of bird (B) from the plane (P) = unknown
tan 33° = 7000 feet / Adjacent side
Cross multiply
tan 33° × Adjacent side = 7000 feet
divide both sides by tan 33°
Adjacent side = 7000 feet / tan 33°
Adjacent side = 10779.054747 feet.
Approximately = 10779 feet.
Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.
What is the square root of -1?
A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student need to go completely around the outside of the frame?
Answer:
B
Step-by-step explanation:
Circumference is equal to [tex]\pi d[/tex]
[tex]C=\pi d[/tex]
[tex]C=\pi \times 8[/tex]
Answer:
there u go
Step-by-step explanation:
A factory makes car batteries. The probability that a battery is defective is 1/11. If 500 batteries are tested, about how many are expected to be defective?
Answer:
45.45 batteries
Step-by-step explanation:
The probability of any random battery being defective is 1 in 11, the number of expected defects in a population of 500 batteries is given by:
[tex]E= \frac{1}{11}*500\\E=45.45\ batteries[/tex]
45.45 batteries are expected to be defective.
Answer:
45
Step-by-step explanation:
URGENT!!! JUST NEED THESE 3!!! WILL GIVE BRANLIEST!!!
1. What is the measure of angle x? IMAGE 1 TO THE RIGHT SIDE IT IS 23 DEGREE AND TO THE LEFT IT IS 10 DEGREE
A) 100°
B) 147°
C) 60°
D) 33°
2. What is the measure of angle EGH? IMAGE 2
A) 102°
B) 38°
C) 78°
D) 26°
3. Find the value of x. IMAGE 3
A) 9.14
B) 15.2
C) 5.58
D) 10
Answer:
B.
A.
D.
Step-by-step explanation:
1.) Do 10 + 23 + x = 180. x = 147 Triangles add to 180, remember this or fail
2.) Do 64 + 38 + x = 180 to find the missing ∠G. G = 78
Now, a line is equal to 180 degrees. Remember this or you will fail. Do 180 - 78 to get your missing angle. 102 degrees
3.) Adjacent angles add up to equal 180, this is a very simple geometry concept. Remember it. 5x + 3 + 12x + 12 = 180
17x + 15 = 180
Subtract 15 from both sides to get 17x = 165
Divide both sides by 17 to get your x value of about 10