{3х + 4y = 6
{7х + 8y = 10
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
What is the equation
in slope-intercept
form of the line that
passes through the
points (-4, 20) and
(2,-34)?
last assignment due in math 4 me..
i forgot how to solve these, could anyone explain/solve one or both of these
Answer:
First one is 204 the second one is 207
Step-by-step explanation:
Mutliply width* length
Plz Help, Find the missing angel.
Answer:
it's c, 80 degrees
Step-by-step explanation:
a triangle is like a straight line, but it has 3 different angles that all add up to 180 degrees
Which of the following is the simplified form of (3-5)3? A.-8. B.-1/64. C.8. D.-12
Answer:
Sorry keep trying buddy
Step-by-step
sorry
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
n
What is the area of this composite figure?
4 cm
7.5 cm
15.5 cm
18 cm
135 cm2
207 cm
0 249 cm2
0 270 m2
Help with math please
A box is 12 centimeters wide, 12 centimeters long, and 15 centimeters tall. What is the total surface area of this box?
Answer:
the answer is 2,160cm long I may be wrong
La medida de cada ángulo interno de un polígono regular es 140o. Determine la medida de cada ángulo central.
Answer:
Cada ángulo central tiene una medida de 40°.
Step-by-step explanation:
Un ángulo interno en un polígono regular comprende dos ángulos contiguos de igual medida de dos triángulos contiguos. Si el polígono regular tiene un ángulo interno de 140°, entonces cada triángulo tiene dos ángulos de 70°. El tercer ángulo corresponde al ángulo central. Por Geometría sabemos que la suma de las medidas de los ángulos internos de un triángulo es igual a 180°, entonces tenemos que la medida del ángulo central es:
[tex]\alpha = 180^{\circ} - 70^{\circ} - 70^{\circ}[/tex]
[tex]\alpha = 40^{\circ}[/tex]
Cada ángulo central tiene una medida de 40°.
Rewrite the formula for the circumference
of a circle, C = 2πr in terms of its
diameter d.
Answer:
C = (pi)d
Step-by-step explanation:
hope this helps!! BAD BUNNY IS COMING
have a nice day:)
Answer:
diameter of circle=2radius
circumference of a circle =2πr
=(2r)(π)
=dπ unit
3/11 - 2.12
ANSWER PLEASE
Answer:
-1.84727272727
Step-by-step explanation:
calculator
Answer:
The answer is, 3/11 - 2.12.=1.847
Step-by-step explanation:
Definition of fraction:In mathematics, a fraction is used to represent a portion of something larger. It represents the whole's equal pieces. The numerator and denominator are the two elements of a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The numerator specifies the number of equal parts taken, whereas the denominator specifies the total number of equal parts in the total.
5/10, for example, is a fraction.
The numerator is 5 and the denominator is 10.
According to the question:
3/11 - 2.12.
= [tex]3/11-212/100\\300-2332/1100\\2032/1100\\1.847[/tex]
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can someone please help me on this question? 30 points
Answer:
Equation: 3x-20+x=180
4x-20=180
4x=200
x=50
Step-by-step explanation:
What is the measure of 2HPL?
H
(12x - 15)"
(8x + 33)
Answer:55
Step-by-step explanation:
what is the difference between the points (-3,4) and (-3,-5)?
The difference between the points (-3, 4) and (-3, -5) is (0, 9)
Brainliest?? ;D
f(x) = 2(x+4)2 - 6
Vertex:
Is the vertex a max or min?
Answer:
2 is positive, so this graph has a minimum and opens upward
Step-by-step explanation:
Can someone explain step by step?
Sally makes $580 a week and her weekly salary is taxed 20%. How much is her weekly take home salary?
Answer:
464 dollars.
Step-by-step explanation:
Step-by-step explanation:
20/100x580
11600/100
=116
therefore, 580-116 equal 464
Sally take home salary will be $464
Given the function f(x) = -5+4x, then what is -f(x) as a simplified polynomial?
Answestf u
Step-by-step explanatio
ggggggggggggggggggggggggggggggggggg
I put C but again I’m not really sure it’s the correct answer.
Answer:
A
Step-by-step explanation:
ASAP "PLEASE HELP"Farah rolled a number cube 84 times. The outcome of "2" occurred 12 times. What is the experimental probability of rolling 2. Write your answer as fraction in simplest form. Please I only have 1 hour left
Answer: [tex]\dfrac{1}{7}[/tex]
Step-by-step explanation:
Given
A cube is rolled 84 times
2 occurred 12 times
Experimental probability is determined by the use of data obtained in the experiment.
Therefore, the experimental probability of obtaining 2 on 84 rolls of the die is
[tex]\Rightarrow P=\dfrac{12}{84}\\\\\Rightarrow P=\dfrac{1}{7}[/tex]
a rectangle with a length of 9 inches and a width of 8 inches is divided in to squares of with sides of length 1 inch.One third of these squares are painted red , 1/8 of the remaining squares are painted green, and the others are left unpainted.How many squares are left unpainted?
Answer:
42
Step-by-step explanation:
rectangle = 8x9 = 72
1/3 0f 72 = 24 (72-24= 48)
1/8 of 48 =6 48-6 =42
red-----24
green-----6
unpainted-----42
24+6+42+=72
The 42 squares are left unpainted.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of rectangle = 8 x 9 = 72
One-third of these squares are painted red, 1/8 of the remaining squares are painted green, and the others are left unpainted.
1/3 of 72
1/3 x 72 = 24
(72-24= 48)
1/8 of 48
1/8 x 48 = 6
( 48-6 =42)
So,
red = 24
green = 6
unpainted = 42
The 42 squares are left unpainted.
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Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?
Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
The inequality to describe the total amount Samantha saves is s > 15.
The correct option is (A).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.
As per the given data:
We are given that Samantha saves at least 10% of her monthly salary.
Samantha is earning $150 each month for a year.
To find the amount Samantha at least saves in a month:
= 10% of her monthly salary
= 10% × 150
= 10/100 × 150
= 15 dollars
As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:
savings > 15
The inequality to describe the total amount Samantha saves is s > 15.
Hence, The inequality to describe the total amount Samantha saves is
s > 15.
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(The given question is incomplete, the complete question is given below)
Refer to OP for Exercises 1-8. If SN and MT are diameters with m/ SPT 51 and m/ NPR 29, determine whether each arc is a minor arc, a major arc, or a semicircle. Then find the degree measure of each arc.
1. MNR
3. mTSR
2. MST
4. mMST
If MT= 15, find the length of each arc. Round to the nearest tenth.
5. NR
7. TSR
6. ST
8. MST
M
N
R
Geometry
Step-by-step explanation:
the answer is a
can someone please pls help me
Mr.Jones owns a greenhouse. He planted 100 tomato plants. only 72 of those plants survived. Write this as a percentage,a decimal,and a fraction.
Anyone I need help whit this question
Answer: 94.3 meters
Step-by-step explanation:
12t^2-25t+12=0 Solve the equation for all real solutions.
Answer:
t=4/3 or 3/4
Step-by-step explanation:
12t^2-25t+12=0
(3t-4)(4t-3)=0
3t-4=0 or 4t-3=0
t=4/3 or t=3/4
Antoine works in a restaurant and he is paid his regular hourly rate of 40 hours a week and time and a half for all hours over 40 in that week. If the rate is $14/h and he works 47 hours calculate the total pay.
if m=5, evaluate the following: 20-5m =
Answer:
-5
Step-by-step explanation:
20-5m
20-5(5)
20-25
5.
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