Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.

12.8
14.9
15.4
17.3

Answer:

its 44

Step-by-step explanation:

180=46+90+x

180=136+x

44=x

Answer:

There is a 90% decrease

Step-by-step explanation:

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Answer:

sorry to answer as I kinda want the points

for me when problem solving it gave me 10%

as I'll show the work and why

Step-by-step explanation:

first dividng the two will make it clear

300,000/30,000

will give you

10 x%

30,000 will make it as 90% since it's 1/10 away from 30,000

300000 is 100% since it is our output value.

so 100% / 300,000

so x% / 30,000

300000(1) = 100%

x% / 30,000(2)

x%/30,00

100%/300,000

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (3, 0)

Point (0, 1)

Step 2: Find slope m

Plug in points to find the rate of change of the graph.

Answer:

5.83

Step-by-step explanation:

Pythagorean Theorem a^2 + b^2 = c^2

[tex]5^{2} + 3^{2} = 34\\\sqrt{34} = 5.83[/tex]

Answer:

slope: 7/2

y-int: (0, -5)

(0, -5) (10/7, 0)

Answer:

(A) Let a represent the number of hours Cassie needs to work

(B) The inequality is 10 × a + 30 ≥ 140

(C) a ≥ 11

(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator

Step-by-step explanation:

The least amount Cassie needs for the graphing calculator = $140

The amount Cassey currently have saved = $30

The amount her neighbor offers for her to babysit = $10 per hour

(A) The definition of the variable is given as a = The number of hours Cassie needs to work

(B) The inequality that defines the situation is 10 × a + 30 ≥ 140

(C) Solving the inequality gives;

10 × a + 30 ≥ 140

10 × a  ≥ 140 - 30

∴10 × a  ≥ 110

a ≥ 110/10

∴ a ≥ 11

Which gives;

The number of hours Cassie needs to work = a ≥ 11 hours

(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.

Answer:

68 km

Step-by-step explanation:

A map has a scale of 4.5 inches = 36 km

We need to find the actual distance between the cities if the distance between two cities is 8.5 inches.

We can find 1 inch is equal to what as follows :

1 inch = (36/4.5) km

For 8.5 inches,

[tex]8.5\ \text{inches}=\dfrac{36}{4.5}\times 8.5\\\\=68\ km[/tex]

Hence, the actual distance between the cities is 68 km.

Answer:

$60

Step-by-step explanation:

The sale comes after the markdown.

let’s set an equation:

x - 20 = 40

x= 60

$60

Answer:

63

Step-by-step explanation:

Answer:  4 servings

4 cups of milk = 8 servings

2 cups of milk = 4 servings

I divided both sides by 2 to change "4 cups milk" into "2 cups milk".

The reason why I want 2 cups of milk is because the chart you're given shows 1 pint is 2 cups.

Therefore, 1 pint of milk will get you 4 servings.

Answer:

5 seats

Step-by-step explanation:

if I'm getting the right idea, the seats are NOT enough

since the number of arrangement of 10 people in a row is

10! = 3628800 which is a lot larger than 30240.

---------------------------------------------------------------------------------------

Let number of seats be

10PX = 30240

[tex]\frac{10!}{(10-X)!}[/tex] = 30240

(10-X)! = [tex]\frac{10!}{30240}[/tex]

(10-X)! = 120

(10-X)! = 5!

10-X = 5

X = 5

Answer:

y=-12+1

hopes this hwlps

Answer:

y=-12x+6

Step-by-step explanation:

There is enough information to write this equation in slope-intercept form.

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

m - slope

b - y-intercept

The given slope is -12 and the given intercept is 6.

[tex]y=mx+b\rightarrow \boxed{y=-12x+6}[/tex]

Hope this helps.

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

Answer:

$278

Step-by-step explanation:

8% of 29,250 = 2340

8% of 32,725 = 2618

2618 - 2340 = 278

she earned $278 dollars more in march than in february.

Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Answer:

3.5 or 3 1/2

Step-by-step explanation:

Answer:

[tex] 48\pi \:m/min[/tex]

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]

Answer:

y=x

Step-by-step explanation:

using slope intercept form and slope formula so y=x

Answer:

y=mx+c

x co-ordinates is 5 & -2

y co-ordinates is 5 & -2

m is the gradient so you have to do change in y over change in x (basically the difference in the y axis )

so change in y : (-2)-5 = -7

change in x: (-2)-5= -7

so divide this and you get 1 which is m

Now the equation is y= 1x+C but x=1 theoretically

therefore all you do now is substitute the values onto the equation to find C. ALWAYS USE THE SAME SET OF COORDINATES.

5=1(5)+ C

5=5+C

C= 0

equation is y=x

Step-by-step explanation:

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that is parallel to 2x - 3y = 24, would have the same slope as the line, 2x - 3y = 24.

Rewrite;

2x - 3y = 24

-3y = -2x + 24

Divide both sides by -3

y = ⅔x - 8

Thus, the slope of 2x - 3y = 24 is ⅔.

Therefore the line that is parallel to 2x - 3y = 24, will have a slope (m) of ⅔.

Using point-slope form, we can generate an equation that passes through (-3, -7) and is parallel to 2x - 3y = 24.

Thus, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Therefore:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

Rewrite in slope-intercept form.

Multiply both sides by 3

3(y + 7) = 2(x + 3)

3y + 21 = 2x + 6

3y = 2x + 6 - 21

3y = 2x - 15

Divide both sides by 3

y = ⅔x - 5

Answer:

x = 3, x = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

(a)

The first step is to subtract 23x from both sides, that is

7x² - 23x + 6 = 0 ← in standard form

(b)

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 7 × 6 = 42 and sum = - 23

The factors are - 21 and - 2

Use these factors to split the x- term

7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )

7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(7x - 2) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

15+20x=18+20x

20x+15=18+20x

20x+15=18+20x

20x+15=20x+18

20x+15=20x+18

20x+15-15=20x+18-15

1.subtract the numbers

20x=20x+3

20x=20x+3

20x-20x=20x+3-20x

1.combine like terms

0=3

Answer:

z^2 +2z-15

Step-by-step explanation:

hope this helped

Answer:

The temperature at 5 am is 16 degrees below zero.

Step-by-step explanation:

The temperature at 2 am is 9 degrees below zero:

[tex]T_{2_{am}} = -9 [/tex]

Since at 5 am the temperature had dropped by an additional 7 degrees, we have:        

[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]      

[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]

Therefore, the temperature at 5 am is 16 degrees below zero.

I hope it helps you!      

Answer:

1; 180

2: 180

3:155

Step-by-step explanation:

Answer:

3.514 degrees per hour

Step-by-step explanation:

To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)

y2-y1 / x2-x1

-12.3 - 0 / 3.5

3.514 degrees per hour