Solve the 3x3 system shown below. Enter the values of x, y, and z.

x+2y-x=-3

2x-y+z=5

x-y+z=4

Answer:

AC =3.76

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin 70 = ? / 4

Multiply each side by 4

4 sin 70 = ?

3.758770783 = ?

Rounding to nearest hundredth

3.76 = ?

AC =3.76

Answer:

3.76 units

Step-by-step explanation:

We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:

sin(70) = opposite / hypotenuse = AC / 4

Multiply both sides by 4:

AC = 4 * sin(70) ≈ 3.76 units

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

Answer:

11) 30.7

12) 16.3

Step-by-step explanation:

11)

[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]

Multiply both sides by 8:

[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]

[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]

12)

[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]

[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]

Hope this helps!

Answer:

7*3=21

8-5=3

21+3-24

Step-by-step explanation:

Answer:8

Step-by-step explanation:$4

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

Learn more about "Credit" here:

brainly.com/question/1995705

Answer: 101

Step-by-step explanation:

45 women total

17 women will not watch the game

So 33 people did not want to watch the game and 17 are women

33-17 = 16 men who won’t watch the game

So 40 men who will and 16 men who won’t equals 56 men and 45 women

56+45= 101

Answer:

5/6

Step-by-step explanation:

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

Answer:

-11/2 or 5.5

Step-by-step explanation:

Answer:

Beth made 60% of her shots.

Step-by-step explanation:

Given:

Total shots take = 10

Total goal = 6

Find:

Best describer this number.

Computation:

Converting goal numbers into percentage:

⇒ Total goal percentage = [Total goal/Total shots take]100

⇒ Total goal percentage = [6/10]100

⇒ Total goal percentage = 60%

Beth made 60% of her shots.

Answer:

6:10 is the ratio

Step-by-step explanation:

as a fraction it would be 6/10

as a decimal it would be 0.60 or 0.6

and she made 60% of her shots

I hope this helps you

Answer:

475

Step-by-step explanation:

1021-71

950/2

Answer:

what are you asking the total or what

Answer:

The correct answer is 11 ft.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:

x+4-x=2x-7-x

4=x-7.

Add 7 to both sides:

4+7=x-7+7

11=x

Answer:

11

Step-by-step explanation:

On edge

Answer: w=2 and 2=6

Step-by-step explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer

Answer:

w = 2 and w = 6

Step-by-step explanation:

Given

[tex]\frac{w}{2w-3}[/tex] = [tex]\frac{4}{w}[/tex] ( cross- multiply )

w² = 4(2w - 3) ← distribute

w² = 8w - 12 ( subtract 8w - 12 from both sides )

w² - 8w + 12 = 0 ← in standard form

(w - 2)(w - 6) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 2 = 0 ⇒ w = 2

w - 6 = 0 ⇒ w = 6

Answer:

65%

Step-by-step explanation:

You have to do 13 divided by 20 and get 0.65 and then multiply by 100

and get 65

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation:

Answer:

[tex]6x + 42[/tex]

Step-by-step explanation:

Apply the distributive property:

[tex]6x + 6 \times 7[/tex]

Multiply 6 by 7

[tex]6x + 42[/tex]

Answer:

32.94%

Step-by-step explanation:

Hope this helps

Answer:

Answer is below.

Step-by-step explanation:

Tia has to know the dimensions needed to find the volume of the sculpture. She needs to know the area of the base as well as the height of the pyramid. The formula that she has to use is 1/3*B*h.

To determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base of the prism.

"It is a three dimensional geometric structure made up of two triangular bases and three rectangular sides."

Volume = Area of the Base × Height of prism

For given example,

The amount of wood she need will be equal to the volume of the triangular prism.

Volume of the triangular prism = Area of the Base × Height of prism

The base of the triangular prism is a triangle.

To find the the area of the triangle, three sides of the triangle should be known or base and height of the triangle.

The height of the triangular prism is nothing but the length of the rectangular side of the triangular prism.

Therefore, to determine the amount of wood she will need for the sculpture she should know the height of the triangular prism and the sides of the triangular base.

Learn more about triangular prism here:

https://brainly.com/question/24046619

#SPJ2

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

Answer: not have filed a claim: 0.132

Will have filed a claim 0.165

Step-by-step explanation: I got this right on Edmentum

Answer:

Move all terms not containing k to the right side of the equation.

Exact Form:

k = 43/4

Decimal Form: k = 10.75

Mixed Number Form:

k = 10 3/4

Answer:

665.73 cm or 6.65 m

Step-by-step explanation:

The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:

3.6m * 100cm / 1m = 360cm

Now we calculate the number of steps:

360 cm / 18 cm = 20 steps

Now each step measures 28 cm, therefore:

20 * 28 = 560 cm

To calculate the length of the ladder, we must apply Pythagoras:

c ^ 2 = a ^ 2 + b ^ 2

a = 360; b = 560

replacing:

c ^ 2 = 360 ^ 2 + 560 ^ 2

c ^ 2 = 443200

c = 665.73

665.73 cm in meters would be 6.65 meters.

Answer: The value of x is 479

Step-by-step explanation:

x -14 = 465

   +14     +14

x=  479

Answer:

x=479

Step-by-step explanation:

x-14=465 Move constant to the right-hand side and change its sign

x=465+14 add the numbers

x=479

HOPE THIS HELPS :)

Answer: [tex]m=\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{9}{7}m=\frac{1}{7}[/tex]

Multiply by the reciprocal to isolate m.

[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]

[tex]m=\frac{1}{9}[/tex]