Answer:
Step-by-step explanation:
This requires some serious work before we even begin. First off, we will convert the km to meters:
32 km = .032 m
46 km = .046 m
And then we have to deal with the angle given as 40 degrees west of north. An angle 40 degrees west of north "starts" at the north end of the compass and moves towards the west (towards the left in a counterclockwise manner) 40 degrees. That means that the angle that is made with the negative x axis is a 50 degree angle. BUT the way angles are measured in standard form are from the positive x-axis, therefore:
40 degrees west of north = 50 degrees with the negative x axis = 130 degrees with the positive x axis. 130 is the angle measure we use. Phew! Now we're ready to start. Adding vectors requires us to use the x and y components of vectors in order to add them.
[tex]A_x=.032cos90.0[/tex] so
[tex]A_x=0[/tex] (the 90 degrees comes from "due north")
[tex]B_x=.046cos130[/tex] so
[tex]B_x=-.030[/tex] and if we add those to get the x component of the resultant vector, C:
[tex]C_x=-.030[/tex] And onto the y components:
[tex]A_y=.032sin90.0[/tex] so
[tex]A_y=.032[/tex]
[tex]B_y=.046sin130[/tex] so
[tex]B_y=.035[/tex] and if we add those together to get the y component of the resultant vector, C:
[tex]C_y=.067[/tex] Note that since [tex]C_x[/tex] is negative and [tex]C_y[/tex] is positive, the resultant angle (the direction) will put us into QII.
We find the magnitude of C:
[tex]C_{mag}=\sqrt{(-.030)^2+(.067)^2}[/tex]
We will round this after we take the square root to the thousandths place.
[tex]C_{mag}=.073m[/tex] and now for the angle:
[tex]\theta=tan^{-1}(\frac{.067}{-.030})[/tex] which gives us an angle measure of -67, but since we are in QII, we add 180 to that to get that, in sum:
The magnitude of the resultant vector is .073 m at 113°
Which is the equation of the line with y-intercept -2 and slope 6.
Answer:
The equation would be y=m-2+6
Step-by-step explanation:
Have a great day :)
help mee pls plss fast
Difference between a 1 inch button and ⅜ inch button
[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]
Answer:
5/8
Step-by-step explanation:
To determine the difference, we do:
1 - 3/8
8/8 - 3/8
5/8
A 1 inch button is 5/8 inches longer than a 3/8 inch button.
Rewrite the expression with rational exponents as a radical expression.
4 times x to the three sevenths power
Answer:
[tex]\displaystyle 4\sqrt[7]{x^3}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 4x^\bigg{\frac{3}{7}}[/tex]
Step 2: Rewrite
Split: [tex]\displaystyle 4(x^\bigg{\frac{1}{7}})^3[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle 4\sqrt[7]{x^3}[/tex]Place parentheses in the following equation to make it true.
6+6/6x6-6= 0
Answer: (6+6/6)*(6-6)= 0
PLZZZ HELPPP, IF NOT 100% SURE PLZ DONT ANSWER…BRAINLIEST TO FIRST AND CORRECT ANSWER, THX TO SECOND AND CORRECT ANSWER
Answer:
2
Step-by-step explanation:
(1 + 1/2) ÷ (3/4)
= 3/2 ÷ 3/4
= 3/2 × 4/3
= 12/6
= 2
(0.75 × 2 = 1.5)
Answer:
2
Step-by-step explanation:
Please help me i will give brainliest!
Answer:
10
Step-by-step explanation:
1x2x2.5=5
5/0.5=10
Answer:
= 40 cubes
Step-by-step explanation:
volume = 2.5×2×1 = 5cm^2
volume of cubes = 0.5×0.5×0.5 = 0.125cm^2
5÷0.125 = 40
= 40 cubes
The lengths of two sides of a triangle are 11 cm and 19 cm. Identify the range of possible lengths for the third side.
Answer:
2nd option
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
19 - 11 < x < 19 + 11
8 < x < 30
Answer:
8 < x < 30
Step-by-step explanation:
The rule for side lengths of a triangle is:
the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :
19 - 11 < x < 19 + 11
8 < x < 30
Which is an equivalent equation solved for g? StartFraction A t Over 60 EndFraction equals g.= g StartFraction A Over 60 t EndFraction equals g. = g StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Answer:
A. StartFraction A t Over 60 EndFraction equals g
g = At/60
Step-by-step explanation:
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes. Which is an equivalent equation solved for g?
A. StartFraction A t Over 60 EndFraction equals g
B. StartFraction A Over 60 t EndFraction equals g
C. StartFraction 60 A Over t EndFraction equals g. = g 60At = g
Given equation:
A = 60(g/t)
Where,
A = Average goal
g = number of goals scored against the goalie
t = the time played
Which is an equivalent equation solved for g?
A = 60(g/t)
Open parenthesis
A = 60g / t
Cross product
A * t = 60g
At = 60g
Divide both sides by 60
g = At/60
Answer:
At/60 = g
( option A )
Jeff and his friends win a prize.
Jeff's share is $160 which is ĭ of the prize.
Work out the value of the prize.
Answer:
Prize, P = $352
Step-by-step explanation:
Let Jeff's share be J.Let the value of the prize be P.Given the following data;
J = $160J = 5P/11To find the value of the prize;
[tex] \frac {5}{11} * P = 160 [/tex]
[tex] \frac {5P}{11} = 160 [/tex]
Cross-multiplying, we have;
[tex] 5P = 160 * 11 [/tex]
[tex] 5P = 1760 [/tex]
[tex] P = \frac {1760}{5} [/tex]
Prize, P = $352
5 a. how to convet 2 hour to second
Answer:
Step-by-step explanation:
2 hour
To seconds = 7200
Hope this answer helps you :)
Have a great day
Mark brainliest
(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored
numerator = top part of the fraction
denominator = bottom part of the fraction
* means multiply
a.
you can only add the numerator when the denominator is the same
cant add the denominator
denominator has to be the same
1/5 = 4/20
4/20 + 7/20 = 11/20
b.
1 7/8 = 15/8
3/4 ÷ 15/8 =
3/4 * 8/15 =
24/60 = divide both top and bottom by 12 =
2/5
Step-by-step explanation:
a)1/5+ 7/20
1.find the CM of both denominators
2.multiply both the denominator and the numerator using the CM
=(1/5)×20 +(7/20)
=20/100 +35/100
since you multiply
3.Now add both numerators ( don't add the denominators)
=the answer is 55/100
Find the measures of the indicated angle
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
Joe has four notes in his wallet. The total value of the notes is $75. Which type of note is not in Joe's wallet?
Answer:
$ 20
Step-by-step explanation:
Given that,
No. of notes Joe has = 4
The total value of the notes = $ 75
From the given notes, 4 notes that can make the sum of 75 would be
$ 50 note + $ 10 + $ 10 note + $ 5
= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1
= $ 75
Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.
What is the value of x in the diagram below?
X + 2
8.
х
Answer:
15
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +8^2=(x+2)^2[/tex]
we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.
[tex](x+2)(x+2)=x^2+4x+4[/tex]
We have
[tex]x^2+64=x^2+4x+4[/tex]
We can subtract x squared plus four from both sides to get
[tex]60=4x[/tex]
Dividing by 4, we get [tex]x=15[/tex]
Answer:x=15
Step-by-step explanation:
remember the Pythagorean Theraum(sorry about spelling)
a^2 +b^2=c^2
the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.
currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8
8x8=64
64+x^2=(x+2)^2
try solving it now.
64+15^2=(15+2)^2
289=289
So, x=15
On a map, 1 in represents 420 miles. How much does 3/4 in represent?
Answer:
315
Step-by-step explanation:
420 x 3/4 = 315
Answer:
315 miles
Step-by-step explanation:
We can write a ratio to solve
1 inch 3/4 inches
------------ = ---------------
420 miles x miles
Using cross products
1 * x = 420 * 3/4
x=315
Please help me: -3/4(8h + 12) = 3(n - 3)
Answer:
n = 0
Step-by-step explanation:
[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]
Answer:
n = 0
Step-by-step explanation:
-3/4(8h + 12) = 3(n - 3)
-6h - 9 = 3n - 9
-6h - 3n = -9 + 9
-9n = 0
n = 0
Pls what is the formula for finding the base and the height of a triangular pyramid.
Answer:
Take the Cubits and multiply
Step-by-step explanation:
This is a problem i had so just fill it in to your numbers etc.
A= 43.3 cubits squared
SA= the base of A +1/2 (p x slant h)
SA= 43.3 cubits squared + 1/2 (30 x 14 cubits)
To sum it up u can message me ur numbers and ill help
Evaluate f(x) when x = 3.
Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
Please hurry I will mark you brainliest
Step-by-step explanation:
I think you first have to calculate a°,this can be done by first finding c°
c°=180-125
=55°
opposite angles in a quadrilateral add up to 180
therefore a°=180-55
=125
therefore angle d
180-125
=55
I hope this helps
Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2
Answer:
the required answer is 4√2+1/2√2
A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic function . How long does it take for the baseball to reach its maximum height? What is the baseball?s maximum height?
Answer:
Step-by-step explanation:
Let the initial velocity of the ball is u.
At the maximum height the speed is zero.
Let the time is t.
Use first equation of motion.
v = u - gt
0 = u - g t
t = u/g
Let the maximum height is H.
Use third equation of motion
[tex]v^2 = u^2 - 2 gh\\\\0 = u^2 - 2 gH\\\\H = \frac{u^2}{2 g}[/tex]
A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please
Answer:
Not a function
Step-by-step explanation:
we see on this graph,
(1,2) and (1,7)
we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.
which always means it's not a function.
Which are the solutions of x2 = –13x – 4?
Answer:
The 3rd dot and 4th dot, you should select to get the correct answer.
Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both
Answer:
I know this problem is an
✔ equation
because it has an equals sign.
The t is the
✔ variable
.
The negative sign is the
✔ operation
.
The 7 and the 8 are both
✔ constants
.
Step-by-step explanation: i took the test :( crying cuz im bouta fail
(0.053) (0.578)
Multiply the numbers
Answer:
If you multiply the numbers you will get
0.030634
The following formula gives the area A of a trapezoid, where b and c are the bases of the trapezoid and h
is the height:
A=
(6+c)h
Rearrange the formula to highlight the height.
h
Answer:
[tex]h = \frac{2A}{b + c}[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}(b + c)h[/tex]
Required
Solve for h
We have:
[tex]A = \frac{1}{2}(b + c)h[/tex]
Multiply sides by 2
[tex]2A = (b + c)h[/tex]
Make h the subject
[tex]h = \frac{2A}{b + c}[/tex]
\He wants to buy at least 5 goats. Write down an inequality in x to represent this
Answer:
x≥5
Step-by-step explanation:
If x is the quantity of goats he wants x≥5
Determine the sum of the first 19 terms of the following series:
6−12+24−48+
Answer:
6-12
24-48
6-2424-196dirst 6 multiplied by four same next series
Complete the equation to represent finding x, the greater integer. x(x – ) = 143 What is the greater integer?
Answer:
[tex]x * (x - 2) = 143[/tex]
Where [tex]x = 13[/tex]
Step-by-step explanation:
Given
[tex]x (x - \_) = 143[/tex]
Required
Complete the blank
The complete question implies that the product include 2 consecutive odd numbers.
Two numbers whose products equal 143 are: 11 and 13
i.e. [tex]11 * 13 = 143[/tex]
So, we have:
[tex]x * (x - \_) = 13 * 11[/tex]
By comparison, we have:
[tex]x = 13[/tex]
[tex]x - \_ = 11[/tex]
Collect like terms
[tex]\_ = x - 11[/tex]
Substitute 13 for x
[tex]\_ = 13 - 11[/tex]
[tex]\_ = 2[/tex]
So, the complete equation is:
[tex]x * (x - 2) = 143[/tex]
Where [tex]x = 13[/tex]
Answer:
2
and
13
Step-by-step explanation:
Got it right on edge.
Find the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65
Answer:
C
Step-by-step explanation:
b=360-2(65)=360-130=230
Answer:
230
Step-by-step explanation:
b= 360-2(65)
=360-130
=230
