Answer:
It's 7.3; 74!
Step-by-step explanation:
This was a lucky guess for me on my homework and it was correct sooooo.... I don't really have an explanation...
Definition: For vector [tex]v=<a,b>[/tex], the magnitude is defined as [tex]|v|=\sqrt{a^{2} +b^{2} }[/tex], and the direction of the vector is defined as [tex]tan^{-1}(\frac{b}{a} )[/tex].
Here, [tex]v=<2,7>[/tex].
Then, magnitude is:
[tex]|v|=\sqrt{2^{2}+7^{2} } \\|v|=\sqrt{4+49 } \\|v|=\sqrt{53} \\|v|=7.3[/tex]
The direction is:
[tex]tan^{-1}(\frac{7}{2} )=74^{o}[/tex].
So, the correct option is 7.3,74°.
For more information:
https://brainly.com/question/14942332
Solve without using a calculator:
sin²20° + sec²20°
Step-by-step explanation:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
sec
(
20
°
)
in terms of sines and cosines.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Apply the product rule to
1
cos
(
20
°
)
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
One to any power is one.
sin
2
(
20
°
)
+
1
cos
2
(
20
°
)
Simplify each term.
Tap for fewer steps...
Rewrite
1
as
1
2
.
sin
2
(
20
°
)
+
1
2
cos
2
(
20
°
)
Rewrite
1
2
cos
2
(
20
°
)
as
(
1
cos
(
20
°
)
)
2
.
sin
2
(
20
°
)
+
(
1
cos
(
20
°
)
)
2
Convert from
1
cos
(
20
°
)
to
sec
(
20
°
)
.
sin
2
(
20
°
)
+
sec
2
(
20
°
)
The result can be shown in multiple forms.
Exact Form:
sin
2
(
20
°
)
+
sec
2
(
20
°
)
Decimal Form:
1.24945210
What is a and b pls answer ASAP I need it !!! Plsss
Answer:
The value of a = 5.
the value of b = 6.
Step-by-step explanation:
Given the points on the line
(6, 10)(a, 8)(4, b)(2, 2)Given that all of the points are on the same line and the line represents a linear function.
Thus, the slope between any two points must be the same.
First, determine the slope between (6, 10) and (2, 2)
(x₁, y₁) = (6, 10)
(x₂, y₂) = (2, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 10] / [2 - 6]
= -8 / -4
= 2
Thus, the slope of the line = m = 2
Determine the value 'a'
(x₁, y₁) = (6, 10)
(x₂, y₂) = (a, 8)
Using the slope formula to determine the value of 'a'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [8 - 10] / [a - 6]
2(a - 6) = 8 - 10
2a - 12 = -2
2a = -2 + 12
2a = 10
divide both sides by 2
a = 5
Therefore, the value of a = 5.
Determine the value 'b'
(x₁, y₁) = (2, 2)
(x₂, y₂) = (4, b)
Using the slope formula to determine the value of 'b'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [b - 2] / [4 - 2]
2(4 - 2) = b - 2
8 - 4 =b - 2
4 = b - 2
b = 6
Therefore, the value of b = 6
Does y=10 true or false??
Answer:
i think no it doesnt so false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Ms. Sanchez earns 3% commission on every car she sells. The dealership paid $20,000 for a car from an auction. The next day Ms. Sanchez sold the car for $38,000. What was Ms. Sanchez's commission from the
the difference in the car?
Please hurry need done fast!
Answer: table 1 is proportional y is 8 times x, and table 2 is not proportional
Step-by-step explanation:
5*8= 40 6*8= 48 7*8=56 so it’s8
5*1= 5 7*1 does not equal 21
A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $59?
Answer:
$88.5Step-by-step explanation:
[tex]59+50\%\times59=59+0.5\times59=59+29.5=88.5[/tex]
Mrs Jones uses 1/4 of a packet of spaghetti each time she cooks pasta.
How many meals will 5 packets of spaghetti last for?
Jonathan is in a class of 15 boys and 35 girls.40%of the students in the class take the bus to school how many students do not take the bus to school ?
Solve 2(x - 5) = 3(x + 7)
Answer:
x = -31
Step-by-step explanation:
2(x-5) = 3(x+7) 1. Use distributive property
2x - 10 = 3x + 21 2. Add 10 on both sides
2x = 3x + 31 3. Subtract 3x on both sides
-x = 31 4. Divide by -1
x = -31
What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x
O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)
Answer:
A. 4x^2(c+3)
Step-by-step explanation:
when solving a linear system by substitution, how do you decide which variable to solve first?
Answer: whichever one is easiest to get by itself.
Step-by-step explanation:
Speedy Cav Company uses the following to determine ride costs:
A $5.00 flat fee for a ride.
An additional $0.75 for each mile traveled.
Which equation represents the cost of a car ride from Speedy Cab Company?
A. t = 5x + 0.75
B. t = 0.75 + 5
C. t = 0.75x + 5
D. t = 5x - 0.75
One bike has 2 wheels.
Which shows how many wheels (y) 4 bikes have?
A. Y=2+4
B. Y=2 x 4
C. Y= 2-4
Ken placed a 6. feet ladder against a wall , creating the triangle shown in the figure below at what height on the wall does the top of the ladder reach
Answer: c
Step-by-step explanation:
find the 75th term of the following arithmetic sequence 3, 7,11,15,...
Answer:
19
Step-by-step explanation:
Write 2 equivalent fractions for the following fractions, use 2/2 and 3/3. 2/3
Answer:
[tex]\frac{4}{4} ,\frac{5}{5}[/tex]
Step-by-step explanation:
In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.
[tex]\frac{2}{2} =1[/tex]
[tex]\frac{3}{3}=1[/tex]
[tex]\frac{4}{4}=1[/tex]
[tex]\frac{5}{5} =1[/tex]
As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.
Hope this helps.
Solve for all values of c in simplest form.
|C – 21 |= 12
Answer:
33, 9
Step-by-step explanation:
I33-21I=12
I9-21I=
I-12I=12
Every SUM of an absolute value will always be positive!!
For each sequence, find the first 4 terms and the 10th term.
a) 3n + 4
b) 4n-5
Answer:
see explanation
Step-by-step explanation:
To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is
(a)
a₁ = 3(1) + 4 = 3 + 4 = 7
a₂ = 3(2) + 4 = 6 + 4 = 10
a₃ = 3(3) + 4 = 9 + 4 = 13
a₄ = 3(4) + 4 = 12 + 4 = 16
Similarly substitute n = 10 for tenth term
a₁₀ = 3(10) + 4 = 30 + 4 = 34
(b)
a₁ = 4(1) - 5 = 4 - 5 = - 1
a₂ = 4(2) - 5 = 8 - 5 = 3
a₃ = 4(3) - 5 = 12 - 5 = 7
a₄ = 4(4) - 5 = 16 - 5 = 11, and
a₁₀ = 4(10) - 5 = 40 - 5 = 35
You scored 80 points on your first math test. On the next test you scored 96 points. What is the percent increase?
Answer:
20%
Step-by-step explanation:
96-80/80 *100
16/80*100
1/5*100 =20
I need help please, I am weird. I know
Answer: -10x+9
Step-by-step explanation:
1. Remove parantheses:
-2x+10-8x-1
2. Simpify: -2x-8x+10-1 => -10x+9
Have a nice day! :D
urgent I need help pls
3.1= -5.9+x, x=?
what does this answer to
Answer:
6-2=3
Step-by-step explanation:
5234.9
Answer:
x = 9
Step-by-step explanation:
3.1= -5.9+x
x - 5.9 = 3.1
x - 5.9 + 5.9 = 3.1 + 5.9
x = 9
A popular Web site reached 7.5 million users during the week of March 7, 2011. This number represents a 33 percent increase from the week before. How many users did the Web site have the week before?
Answer:
5.7 million
Step-by-step explanation:
Let the number of users be x
x + 33% of x = 7.5 million
x + 0.33x = 7.5 million
1.33x = 7.5
x = 7.5/1.33
x = 5.7 million
Determine the slope and the y-intercept Y=2x-3
Answer: The slope is 2 and the y-intercept is -3.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
In slope-intercept form the slope is always the number right in front of the X
Rewrite with positive exponents: 7^-3
Answer:
1/7^3 (One over seven thirds)
Step-by-step explanation:
3
Find the slope and y-intercept from the following graph of a linear equation.
Answer:
A. Slope = 4 and y-intercept = 3
-hx + 4 = 2x- 1 solve this equation for x.
Answer:
x=-5/(-h-2)
Step-by-step explanation:
-hx+4=2x-1
-hx=2x-5
-hx-2x=-5
x(-h-2)=-5
x=-5/(-h-2)
Let me know if this helps!
The equation; -hx + 4 = 2x- 1 when solved for x is; x = 5/(2 +h)
Change of subject of formulaThe given equation is;
-hx + 4 = 2x- 1By collecting like terms; we have;
2x + hx = 4 + 1x(2 +h) = 5x = 5/(2+h)Read more on change of subject;
https://brainly.com/question/739085
I urgently need help!!!!!!
Answer:
Step-by-step explanation:
e
Answer:
Angle KMN is 79°
Hope this helps.
11+19+12+245+1245+23567=
I need help with geometry
Answer:
Rhombus and angle 1 = 35
Step-by-step explanation:
The parallelogram has the same marking on each of its sides, indicating that all the sides are equal in length. It is, therefore, a rhombus.
It is given that one of the angles measures 110 degrees. The other angle is 70 degrees (because 180 - 110 = 70). Since it is bisected by a line, divide the angle by 2 (70/2). You get 35 degrees. Therefore, the measure of angle 1 is 35 degrees.
I hope this helps! :)
