A student performed row operations on a matrix as shown below.
4
1
2
4
-4
2
0
-1
3
1
-1
3
1
3
2
4
5
3
0
107
Which operations did the student perform?
2R2+R3 R3
O 2R3+-R3 > R3
רית

Step-by-step explanation:

we have a right-angled triangle here.

there is the ground distance boat to lighthouse.

there is the height of the lighthouse = 141 ft.

and there is the line of sight boat to lighthouse light.

the angle at the boat is 12°.

the angle at the lighthouse bottom is 90°.

therefore, the angle at the lighthouse light is 180 - 90 - 12 = 78°

we use the law of sine to solve this.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and correlated angles being always opposite.

so, we have here

141/sin(12) = ground distance/sin(78)

ground distance = 141×sin(78)/sin(12) = 663.3528454... ft

≈ 663.35 ft

Answer:

it is letter B and then it is letter a

Answer:

21.6

Step-by-step explanation:

Connect U and X, V and Y

Note ∠XUW = ∠VYW (facing same arc VX) and ∠W = ∠W

so ΔUXW ~ ΔVYW

then VW : YW = XW : UW

VW : YW = (YW - YX) : (UV + VW)

22 : 40 = (40 - 16) : (UV + 22)

11: 20 = 24 : (UV + 22)

11 * ( UV + 22) = 20 * 24

11* UV + 242 = 480

11 * UV = 480 - 242 = 238

so UV = 238/11 = 21.6

The approximate angle to the other two landmarks from the Empire State Building is 129.868°

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a² = b² + b² - 2bc*cosA

Where a, b, c are the sides and A is the angle opposite to side A.

Let A represent the angle to the other two landmarks from the Empire State Building. Hence:

2² = 1.3² + 0.9² - 2(1.3)(0.9)cosA

A = 129.868°

The approximate angle to the other two landmarks from the Empire State Building is 129.868°

Find out more on cosine rule at: https://brainly.com/question/7872492

Answer:

We use a variety of different notations to express the derivative of a function. In (Figure) we showed that if f(x)=x^2-2x, then f^{\prime}(x)=2x-2. If we had expressed this function in the form y=x^2-2x, we could have expressed the derivative as y^{\prime}=2x-2 or \frac{dy}{dx}=2x-2. We could have conveyed the same information by writing \frac{d}{dx}(x^2-2x)=2x-2. Thus, for the function y=f(x), each of the following notations represents the derivative of f(x):

f^{\prime}(x), \, \frac{dy}{dx}, \, y^{\prime}, \, \frac{d}{dx}(f(x)).

In place of f^{\prime}(a) we may also use \frac{dy}{dx}\Big|_{x=a} Use of the \frac{dy}{dx} notation (called Leibniz notation) is quite common in engineering and physics. To understand this notation better, recall that the derivative of a function at a point is the limit of the slopes of secant lines as the secant lines approach the tangent line. The slopes of these secant lines are often expressed in the form \frac{\Delta y}{\Delta x} where \Delta y is the difference in the y values corresponding to the difference in the x values, which are expressed as \Delta x ((Figure)). Thus the derivative, which can be thought of as the instantaneous rate of change of y with respect to x, is expressed as

\frac{dy}{dx}=\underset{\Delta x\to 0}{\lim}\frac{\Delta y}{\Delta x}.

Step-by-step explanation:

Answer:

Answer: 2413 cm^3

Step-by-step explanation:

Knowns:

V=πr^2h

r= 8

h= 12

Work:

-  π · 8^2 · 12 = 2412.74cm^3

-  Round .7 into a 1 because it is >4, this turns 2412.74 cm^3 into 2413cm^3

Answer: 2413 cm^3

Answer:

Graph 1 (big) shows that it has the biggest number which means that graph 1 (big) is the correct answer!

Step-by-step explanation:

Answer:

83°

Step-by-step explanation:

? = (1/2)[m(arc)DE + m(arc)RF]

? = (1/2)[106° + 60°]

? = 83°

Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

Answer:

yellow = 33.3 %

green = 20%

orange = 30%

red = 16.6%

Step-by-step explanation:

all in all there are 30 cards

10 ➗ 30 = 0.333 = 33.3%

6 ➗ 30 = 0.20 = 20%

9 ➗ 30 = 0.30 = 30%

5 ➗ 30 = 0.166 = 16.6%

Answer:

  a > c

Step-by-step explanation:

The Transitive Property of Inequality can be written as ...

  If a > b and b > c, then a > c.

Based on the above, we can conclude from your premises that a > c.

Answer:

I'm pretty sure it's D) 8x = 6x + 0.50

Step-by-step explanation:

To find the area of a rectangle, we simply need to multiply its length by its width. The area is simply the width of a rectangle times height. Area = h × h, Area = h2. Hence for a square, the area is the square of its sides.

Answer:

  z ≈ 1.48

Step-by-step explanation:

A suitable calculator requires only the "work" of data entry. For a TI-83, you can find the result from ...

  invNorm(.06945,0,1,RIGHT-tail) = 1.479899759

The z-value is about 1.48.

_____

Additional comment

My iOS TI-83/84 "work-alike" app reportedly gives more accurate results than an actual TI-83 calculator. YMMV

Answer:

  PQ ≈ 20.5

Step-by-step explanation:

The product of lengths from R to the intersection points with the circle is the same for each secant:

  RS×RT = RQ×RP

  40(40 +31) = (44)(PQ +44)

  40(71)/44 = PQ +44

  PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

  PQ ≈ 20.5

Answer:

98

Step-by-step explanation:

71 + 9 + 18 = ( 71 + 9 ) + 18     Group numbers that add to 10 to make it easier

                 = 80 + 18

                 = 98

If you have any questions, you can ask them in the comments section of this answer. If you could mark this answer as brainliest, I would greatly appreciate it.

it is true not false true

Answer:

i think its 1.42857143/6

Step-by-step explanation:

hope this helps. If it does, can i have brainliest?

Answer:  1360 in^2

Step-by-step explanation:

Each of the four rectangles on the side is 20x12 inches. Therefore, the total area of the 4 rectangles is 4*20*12 = 960 in^2.

The area of the square in the middle is 20*20 = 400 in^2.

Therefore, the total area = 960 + 400 in^2 = 1360 in^2

Answer:

He would have 48

Step-by-step explanation:

1 set: 8

2 sets: 16

3 sets: 24

4 sets: 32

5 sets: 40

5 sets: 48

OR

{4(8)} + 2(8)

32 + 2(8)

32 + 16

48

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Answers

48

Steps

4+2=6

8 times 6= 48

Step-by-step explanation:

Two meals are the different

Answer:

5*3*4 = 60, so 60 different main meals could be ordered.

Answer: 2) 2/7,  11/72   3)  2 2/5 licorice pieces

Step-by-step explanation:

2)

A fraction of another fraction is essentially the two fractions multiplied.

Therefore, 2/3 of 3/7 = (2*3)/(3*7) = 6/21 = 2/7

1/6 of 11/12 = (1*11)/(6*12) = 11/72

3) If the licorice is divided equally, that means each person would get 12/5 of licorice pieces. 12/5 as a mixed number would become 2 2/5.

Answer:

We will get 12 divided by 5 which it equals to 1.5 licornie will each person get.

Step-by-step explanation:

12/5 =2.4 2 and 1/3 of it

The term "dilation" refers to a transformation. The height of the pre-image is 24.4 mm.

The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.

Let the dilation factor of the trapezoid be x.

Now, if we write the area of the pre-image trapezoid, it can be written as,

[tex]\text{Area of trapezoid} = \dfrac{(a+b)}{2}h = 49\rm\ mm^2[/tex]

As we know the dilation is applicable to dimensions, therefore, the area of the trapezoid which is the image can be written as,

[tex]\text{Area of Image trapezoid} = \dfrac{(ax+bx)}{2}hx[/tex]

                                      [tex]= \dfrac{x(a+b)}{2}hx\\\\=\dfrac{(a+b)}{2}h\cdot x^2\\\\=49\cdot x^2[/tex]                  

Now, if we calculate the scale factor(x) of the dilation we will get,

[tex]{\text{Area of trapezoid}}={\text{Area of Image trapezoid}}\\\\x^2 \cdot 49 = 784\\\\x = 4[/tex]

Further, the scale factor applied to the height of the image can be written as,

The height of the Image = 4 × Height of pre-image

                                          = 4 × 6.1 = 24.4 mm

Hence, the height of the pre-image is 24.4 mm.

Learn more about Dilation:

https://brainly.com/question/2856466

Answer:

24.4 mn

Step-by-step explanation: I took the quiz

Answer:

Multiply 54 by 6

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)

Addition/Subtraction (Whichever comes first)

In this case, we can start by looking inside of the parentheses.

There are two signs; addition and multiplication.

Now we look back to the order of operations (PEMDAS), and see that multiplication comes before addition, therefore you should first multiply 54 by 6.

Answer:

Credit Card Receivables. Undeposited Funds. Opening Balance Equity. Retained Earnings

Step-by-step explanation:

The 2 accounts which cannot be merged or made inactive are Credit Card Receivables and Undeposited Funds.

A placebo group is defined as the statement "an inactive substance or treatment that cannot be distinguished from a real, active substance or treatment"

From an experiment, "subjects respond differently after they receive a treatment, even if the treatment is neutral".

When we have a neutral treatment that has no effect on the dependent variable is called a "placebo".

The 2 accounts which cannot be merged or made inactive are Credit Card Receivables and Undeposited Funds.

Learn more about inactive substance;

https://brainly.com/question/14306109

#SPJ2

Answer: A

Step-by-step explanation:

The change in the y coordinates is 0, but the change in the x coordinates is 8.

Answer:

24x²

Step-by-step explanation:

6 x 4x² = 24(x)(x) = 24x²

Answer:

45 years

Step-by-step explanation:

Let the sum be x and CI=2x

We know that

CI=P(1+100R)T

2x=x(1+100R) ^15

(1+100R)^15=2                

Let m be the number of years.

Therefore,

x(1+100R)m=8x

(1+100R)m=23

(1+100R)m=[(1+100R)^15]3          

From eqn(1)

(1+100R)m=(1+100R)45

On comparing both power, we get

m=45 years