Given:
The matrix is [tex][-8][/tex].
To find:
The determinant of given matrix, i.e, [tex]|-8|[/tex].
Solution:
If a matrix is A of order [tex]1\times 1[/tex], then the value of the determinant of that matrix is equal to the element of that matrix.
For example: Let A be the matrix of order [tex]1\times 1[/tex].
[tex]A=[a][/tex]
Then,
[tex]|A|=a[/tex]
The given matrix is [tex][-8][/tex]. So, the determinant of given matrix, i.e, [tex]|-8|[/tex], is
[tex]|-8|=-8[/tex]
Therefore, the value of determinant of given matrix is -8.
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form.
Answer: [tex]24.02\ mph[/tex]
Step-by-step explanation:
Given
Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]
The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]
Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]
In vector notation we can write
[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]
Flow of current can be written as
[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]
Insert the values of vectors
[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]
Magnitude of the velocity is
[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]
The actual direction and magnitude of the velocity of the boat is the sum of
the velocity of the boat and the velocity of the current both in vector form.
The actual velocity and direction of the boat are approximately 24.02 m/s at a bearing of 16.76° west of north.Reasons:
Direction of the boat = North
Speed of the both = 27 mph
Direction of the current = 60° west of south
Speed of the current = 8 mph
Required:
The actual speed and direction of the boat written in magnitude and
direction.
Solution:
The velocities given in vector form are;
Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j
60° west of south = 30° south of west
Therefore;
Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j
The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]
Which gives;
[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j
[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i
Therefore;
[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j
Which gives;
[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02
The magnitude of the velocity of the boat, [tex]\mathbf{|v_{actual}|}[/tex] ≈ 24.02 m/s
The actual direction of the boat, θ, is given by the arctangent of the ratio
of the vertical to the horizontal component of the velocity as follows;
[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]
Based on the horizontal and vertical component, the above angle θ is
approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =
16.76° west of north.
Therefore;
The actual direction of the both is on a bearing of approximately 16.76° west of north.Learn more about vector quantities here:
https://brainly.com/question/1614684
Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
Answer:
4 tens, 3 twenties
Step-by-step explanation:
4 tens ($40) and 3 ($60) twenties work. I’m sorry I don’t have a formula for it though.
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
Find the area of the figure below
Answer:
the answer 240
Step-by-step explanation:
times 24 and 10 to get 240 m
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answer:
Its definitley square to be precise so that's my answer, but its also a rhombus
Step-by-step explanation:
assuming a is 1, regardless, graph would always be square, which is a rhombus. hope square is correct :)
what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
Arrange the matrices in increasing order of their determinant values.
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]
[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]
Using trigonometry ratio, we have:
[tex]|D | = 1[/tex]
(b)
[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 2 * 2 - 0 * 0[/tex]
[tex]|D| = 4 - 0[/tex]
[tex]|D| = 4[/tex]
(c)
[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 0 * 0 -(-i * i)[/tex]
[tex]|D| = 0 +i^2[/tex]
[tex]|D| = i^2[/tex]
In complex numbers
[tex]i^2 = -1[/tex]
So:
[tex]|D| = -1[/tex]
So, the order of the determinants is: c, a, b
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answer:
6%
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
805
Step-by-step explanation:
round your answer to the nearest hundredth
Answer:
hi
Step-by-step explanation:
To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Answer:
Step-by-step explanation:
let the missing angle be x
take 65 degree as reference angle
use tan rule
tan 65=opposite/adjacent
2.14=x/7
2.14*7=x
14.98=x
pliss give me the aswer
Answer:
AA
Step-by-step explanation:
AA
Answer:
15+ 8d
After d day,she has read 15 +8d pages
People were surveyed about the types of pets they own and their housing situation. Each person has only one pet. For people who live in a condo, what is the relative frequency with which a person owns a cat?
Answer:
The answer is 6.3
Step-by-step explanation:
it’s two different answers but i need help !!
Answer:
use this to help you determine your answer
Step-by-step explanation:
Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.
please help i give all my points
where is the drip at?
Please help!!!!!!
BRainliest.
Answer:
4.974
Step-by-step explanation:
What is the area of the triangle?
10
8
6
Answer:
10
Step-by-step explanation:
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
What number is a prime factorization of 60
Answer:
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.
x) sec’A + cosec?A
secA. cosecA
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A
please help. It’s due tomorrow.
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
40:√100 + √9.√36
????
Answer:
28
Step-by-step explanation:
[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]
What are the angles labeled ?
Answer:
90° angle
Step-by-step explanation:
Every time you see an angle that has a box, it measures 90°
Brittany stamps 20 letters in 1
hour. How many hours will it
take her to stamp 380 letters?
A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week
Answer:
$250
Step-by-step explanation:
To find the total multiply 6.25 and 40 together
6.25x40
$250 (Don't forget the dollar sign)
Answer:
250
Step-by-step explanation:
If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm