3a + 2b = 17, b = 4a - 30

In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.

From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:

b² = a² + c² - 2ac Cos B

where;

b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)

b² = 2500 + 105625 - (32500 ×  (-0.4226))

b² = 108125 - (-13734.5)

b² = 121859.5

[tex]\mathbf{b =\sqrt{121859.5 }}[/tex]

b = 349.08 mph

Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.

Learn more about bearing and distance here:

https://brainly.com/question/19017345?referrer=searchResults

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

Answer:

12 inches wide 15 inches long

Step-by-step explanation:

Any length of sides that dont have the same side-side ratio with carlas rectangular picture frame (example: 10/12 [tex]\neq[/tex] 12/15)

[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]

Answer:

Step-by-step explanation:

[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]

[tex]Hello[/tex] [tex]There![/tex]

Quite easy...

It's -20.

Hopefully, this helps you!!

P.S I love late points.

:>

[tex]AnimeVines[/tex]

Answer:

Step-by-step explanation:

Interest=principal*rate*time/100

Interest=240$

Amount= principal + interest

Amount=$490

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:

Answer:

$163.8 more.

Step-by-step explanation:

Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40

Answer:

Property

Step-by-step explanation:

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

Answer:

y = -x -1

Brainliest, please!

Step-by-step explanation:

(4, -5)(-6, 5)

y = mx + b

m = slope, b = y-intercept

m = 10/-10

m = -1

y = -1x + b

We can plug in (4, -5):

-5 = -1(4) + b

-5 = -4 + b

b = -1

y = -x - 1

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

Answer:

The answer is

B. 6, 8, 11, 1, 7, 14, 10

C. 14, 10, 6, 9, 11, 8, 1

Step-by-step explanation:

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)

Answer:

5%

Step-by-step explanation

50/32= 1.56yard per second        ; 50/31= 1.61 yard per second

1.61-1.56= 0.05* 100= 5%

Answer:

8

Step-by-step explanation:

Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8

Bisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:

OQ = 32

PO = 4x,

This shows that OQ = PO that is:

32 = 4x

Swap

4x = 32
x = 8

Hence the value of x of OQ is equal to PO is 8

Learn more on bisectors here: https://brainly.com/question/11006922

Answer:

(-4.5, 0)

Step-by-step explanation:

I don't even use midpoint formula for these types of problems, we can just count and see where they meet in the middle.

0 --- (-9)

(-1) --- (-8)

(-2) --- (-7)

(-3) --- (-6)

(-4) --- (-5)

(-4.5) --- (-4.5)

Answer:

a. 41

b. -31

c. 25/3, no

Step-by-step explanation:

when it says find f(14) the number inside the parenthesis is x, so you just plug that number into the equation which in this case is 3x-1. for c it says find the input if the output is 24. so basically the output is f(x) or y and the input is x. so 3x-1 = 24.

Answer:

4, 7, 8 and 9.

(4)(7)(8)(9)

= 4 × 7 × 8 × 9

= 2016

Verify it on a calculator for your satisfaction ☺

Hope that helps...

Answer:

.1

Step-by-step explanation:

anything that's the furthest(farthest) from the tenths is a small number

Answer: 3 is equal to 3

Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.

After 4 hours of snow melting, there would be 8 inches of snow with the rate of 2.5 inches per hour Katherine would have on her lawn and after t hours the snow would be = 18 - 2.5*t inches.

In this question, the amount of snow melted is required to calculate to know the amount of snow on the lawn, can be calculated by:

Given:

The total amount of snow = 18 inches

Rate of melting = 2.5 inches

Time = 4 hours

Solution:

The amount melted needs to be calculated first in order to find left snow, therefore, putting values in the formula mention above,

the melted amount = rate of melting × time

the melted amount = 2.5 × 4 inches

the melted amount = 10 inches

Then the final amount would have on the lawn =  starting amount−melted snow

=  18−10 inches

= 8 inches

Part b) Snow after t hours:

Starting amount=  18 inches

Melted snow=  inches per hour×t

= 2.5×t

= 2.5t

Final amount = starting amount−melted snow

= 18 -2.5t

Thus, the correct answer is - 8 inches and 18 -2.5t

Learn more:

https://brainly.com/question/19122325

Answer:

c) 3.78

Step-by-step explanation:

1. ∠AGH

Alternate angle — ∠DHG

Corresponding angle — ∠CHF

Co-interior angle — ∠GHC

Vertically opposite angle — ∠EGB

2. ∠CHG

Alternate angle — ∠BGH

Corresponding angle — ∠AGE

Co-interior angle — ∠AGH

Vertically opposite angle — ∠FHD

3. ∠DHG

Alternate angle — ∠AGH

Corresponding angle — ∠BGE

Co-interior angle — ∠HGB

Vertically opposite angle — ∠CHF

4. ∠BGH

Alternate angle — ∠CHG

Corresponding angle — ∠DHF

Co-interior angle — ∠GHD

Vertically opposite angle — ∠AGE

Answer:

The answer is C, 135 + 100h = 535.

Step-by-step explanation:

H can't be multiplied by 135, since that's only for one hour.  That value never changes, so it can't be A.  It's not B because that implies that she starts out by charging $235 for the first hour, plus the # of additional hours, which doesn't make sense.  And it's not D because the total amount of $ that she receives must EQUAL 535, but there is another number on the same side with 535.  Therefore, the only answer that remains is C.  

P.S. She worked 4 additional hours.

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

Answer:

Step-by-step explanation:

Sum of all the angles of 12 sided polygon= (n -2)*180

   = (12 - 2 )*180 = 10 * 180 = 1800

Four interior angle each of xº +  8 interior angles each of 2xº = 1800

4*x  + 8*2x = 1800

4x + 16x = 1800

20x = 1800

x = 1800/20

x = 90°

Answer:

x = 90

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800

There are 12 interior angles

Given 4 are x, then 8 are 2x , so

4x + 8(2x) = 1800

4x + 16x = 1800

20x = 1800 ( divide both sides by 20 )

x = 90

Answer:

-18

Step-by-step explanation:

The absolute value is only on the 9, and the absolute value of positive 9 is positive 9. Multiply by negative 2 and you get -18.