The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their
sum?
2
135°
45°
6
20

Answer:

12.57

Step-by-step explanation:

C=2πr

2π2

4π

12.57

Answer:

27

Step-by-step explanation:

3x + 9 = 90

3x = 90 - 9

3x = 81

x =27

Answer:

ST = 8 m

Step-by-step explanation:

Since both triangles are congruent to each other, therefore their corresponding angles and corresponding side lengths would be equal to each other accordingly.

Side ST in ∆STU corresponds to side PQ in ∆PQR. ST = PQ.

Side PQ = 8 m

Therefore, side ST = PQ = 8 m

Answer:

Isolate the variable through inverse operations

Step-by-step explanation:

The next step would be to divide 70 by 7 to get y by itself. Dividing by 7 is the inverse of multiplying by 7.

Answer:

down below:)

Step-by-step explanation:

200 times 80 times 60 is:

200 times 80 is 16000

16000 times 60 is 960000

Answer:

$1813.28

Step-by-step explanation:

Answer:

$124.27

Step-by-step explanation:

A = Principal(1 + r/n)^nt

r = interest rate

n = # times compounded

t = # years

A = 120 (1 + .035/12)^12(1)

A = 120(1 + .0029)^12

A = 120(1.0029)^12

A = 120 x 1.0353

A = 124.27

Answer:

16,000 liters

Step-by-step explanation:

Assuming the pool does not curve in any direction and is a big box with 90° corners:

1/16. 2,000 liters

2/16. 4,000 liters

3/16. 6,000 liters

4/16. 8,000 liters

5/16. 10,000 liters

6/16. 12,000 liters

7/16. 14,000 liters

8/16. 16,000 liters

9/16. 18,000 liters

10/16. 20,000 liters

Answer:

Half full = 16,000 liters

Need to add 14,000 more liters

Step-by-step explanation:

Proportions and Fractions

The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:

2,000 liters * 16 = 32,000 liters

It's required to calculate how many liters of water are required to make the pool half full.

This can be found by dividing the above number by 2, thus:

Half capacity of the pool = 32,000 / 2 = 16,000 liters

We'll provide the following answer in case it's required.

To reach half capacity, it would be necessary to add

16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

Answer:

4.16x+6y=1

Step-by-step explanation:

The given equation of the line is:

      8x + 3y  = 1

From this line, we need to re-arrange and write in the form of the equation of  a straight line.

        The equation of a straight line is given as:

         y  = mx + c

  8x + 3y  = 1

         3y = -8x + 1

          y  = [tex]\frac{-8x}{3}[/tex]  + [tex]\frac{1}{3}[/tex]  

 The slope of the line is [tex]\frac{-8}{3}[/tex]

  Any line from the given choices that will be parallel to the is must have the same slope as it is.

That line is 16x + 6y  = 1

                         6y  = -16x + 1

                            y = [tex]\frac{-16x}{6}[/tex]  + [tex]\frac{1}{6}[/tex]  

                           y = [tex]\frac{-8x}{3}[/tex]  +  [tex]\frac{1}{6}[/tex]  

Answer:

4/1

Step-by-step explanation:

g is 4

Answer:

2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.

Step-by-step explanation:

c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

The slopes of the asymptotes of the hyperbola are +3 and -3.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The standard equation for a hyperbola with a horizontal transverse axis is:

[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]

where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.

Comparing this to the given equation:

[tex]x^2/2^2 - y^2/6^2 = 1[/tex]

We can see that h = k = 0, a = 2, and b = 6.

The slopes of the asymptotes are given by:

±(b/a)

So, the slopes of the asymptotes are:

±(6/2) = ±3

Therefore,

The slopes of the asymptotes of the hyperbola are +3 and -3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Answer:

3/4

Step-by-step explanation:

any thing in the form of y=mx+x,

mx is the slope

Answer:  N has to be a negative. hope this helps

Step-by-step explanation:

Answer:

5 terms

Step-by-step explanation:

Answer:

(a) 0.3863

(b) $693

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)

We solve this question using the z score formula

z = (x-μ)/σ

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x > $646

z = $646 - $633/$45

z = 0.28889

Probability value from Z-Table:

P(x<646) = 0.61367

P(x>646) = 1 - P(x<646) = 0.38633

Approximately = 0.3863

The probability that the actual costs will exceed the budgeted amount is 0.3863

(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.

Let the budgeted amount = x

Converting 0.09 to percentage = 0.09× 100% = 9%

100 - 9% = 91%

We find the z score of 91%

= 1.341

We are to find x

Using z score formula

z = (x-μ)/σ

1.341 = x - 633/45

Cross Multiply

1.341 × 45 = x - 633

60.345 = x - 633

x = 60.345 + 633

x = $693.345

Approximately to the nearest dollar is $693

Answer:

When x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given

The point (0, 10)

The slope m = 3

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We have given the point (0, 10)

It means:

at x = 0, y = 1 0

Therefore, the y-intercept b = 10

so substituting b = 10 and m = 3 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y = 3x+10[/tex]

Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:

[tex]y = 3x+10[/tex]

Now, substituting x = 2 in the equation

[tex]y = 3x+10[/tex]

y = 3(2) + 10

y = 6+10

y = 16

Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

the answer is 390

Step-by-step explanation:

don't ask how

Answer:

%18 tip

Step-by-step explanation:

The dinner cost was $29 before tip

after tip it was $32.22

34.22-29= $5.22  she tipped

$29 * %x = $5.22

After solving this equation, the x is %18

Answer:

6x - 4x

Step-by-step explanation:

it would be 240 men

Step-by-step explanation:

i took the same test

Answer:

240

Step-by-step explanation:

I took the same test just trust me

Step-by-step explanation:

Area of Glass surface

= Area of Parallelogram - Area of Rectangle

= (20in * 16in) - (4in * 16in)

= 256in².

Hence it is 256 square inches.

P.S. Question photo got changed, ignore this.

Answer: The area of the figure is 32 square

plz mark brainly

Answer:

4

Step-by-step explanation:

11.2/2.75=4.07272(repeating number)

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

here ya go bub! (pls mark me brainlest)

The total number of people is 63 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used to determine the total number of people:

Step 1 - Given that 7 men had 7 wive. So, add 7 and 7.

= 7 + 7

= 14

Step 2 - It is also given that each man and each wife had 7 children. So, multiply 7 by 7.

[tex]=7\times 7[/tex]

= 49

Step 3 - Now, in order to determine the total number of people add 49 and 14.

= 14 + 49

= 63

So, the total number of people is 63.

For more information, refer to the link given below:

https://brainly.com/question/1957976

Answer:

1(7x+2)

Step-by-step explanation:

Sorry I'm not really good at explaining....

Answer: Exact Form:  x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

If you want y-6+x solved, it's -2

Step-by-step explanation:

Substitute 6 for x and -2 for y and you get (-2 - 6 + 6 =?). -2 - 6 = -8. -8 +6 = -2.

Simple way to do this is the given -6 and the 6 cancel out and that leaves the -2 from the y.

Answer:

67500 bottles

Step-by-step explanation:

The rate of use of water bottles is 45000bottles/30sec

the unit rate of use of water bottles is 1500bottles/1sec

multiply by 45 to get the number of bottles used in 45 seconds

1500/1sec *45sec=67500 bottles