NEED HELP ASAP
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane’s ground speed?

640.00 kph
658.94 kph
700.00 kph
743.64 kph

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Full question:

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)

Answer and explanation:

Peak rate= 8 billion gallons per day

7.5 gallons = 1 cubic feet

Given that

8 billion gallons= 24 hrs

And 24 hrs = 86400 seconds

8 billion gallons =86400 seconds

In one second =8000,000,000/86400

= 92,592.593 gallons

Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets

Therefore the flow rate in cubic feet per second = 12345.68 cubic feets

If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river

B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet

And 1 mile = 5280 feet

1 square mile = 27878400 square feet

8 square miles = 8 × 27878400 = 223027200 square feet

To calculate the height,

The number of foot by which the water level rose in one day is

1066666752/223027200 = 4.7826 feet per day

Answer:

$42.05

Step-by-step explanation:

First do $8.50/2=4.25

This means that one bag of cat food is $4.25

Now you multiply 5*4.25=$21.25,

I hope this helps and is correct!

Answer:

[tex]y > \frac{2}{15} [/tex]

Answer:

0.09 is 9 as a decimal

Answer:

Johnson rode her bike 5 miles

Step-by-step explanation:

Answer:

D) x= square root of 89

Step-by-step explanation:

To find the missing side, use the equation a^2+b^2=c^2. You would plug 5 in for a to get 25 and 8 in for b to get 64. You would add those to get that 89 is equal to c^2 so you would get c by itself and and find that the answer is D. :)

Answer:

60* and 30*

Step-by-step explanation:

If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle.

Answer:

m<qrt and m<trv because complementary angles add up to 90 degrees :)

Answer:

4/19          

Step-by-step explanation:

Step-by-step explanation:

If that says 4.62x10⁸, then you would do

300,300,000/4.62x10⁸

where you would get 0.65

so the average cost per tin of beans is 65p

The average cost of each tin of beans = 0.602 million per tin.

The total tin of beans sold last year = 4.62 x 108+

= 498.96

The total cost of the beans sold last year = £300.3 million

If 498.96 tins = £300.3 million

1 tin of beans = £X

Make £X the subject of formula,

£X = £300.3 million/498.96

£x = 0.602 million

Therefore, the average cost of each tin of beans = 0.602 million per tin.

Learn more about cost here:

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Answer:

30

Step-by-step explanation:

look it up online

Answer:

y=4x-7

Step-by-step explanation:

We know that the y intercept is -7 so we can have y=mx-7

And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m

(2,1) (0,-7)

x1 y1 x2 y2

(-7-1)/(0-2)

-8/-2 = 4

m=4

So just plug it into the equation to get:

y=4x-7

Answer:

y = 4x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the t- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

The line crosses the y- axis at (0, - 7) ⇒ c = - 7

y = 4x - 7 ← equation of line

Answer:

The blank exponent is 3

Step-by-step explanation:

It is given that n^x=1/64 where n=1/4

1/4^x=1/64

1/4*1/4*1/4=1/64, so x=3 works as a solution. You could use logarithms, but it makes things more difficult, especially in this case.

Answer:

1/5

Step-by-step explanation:

10/10-1/10=9/10=Colin and Sarah share

2x+7x=9x=Colin and Sarah share

9x=9/10

x=1/10

Colin=2x=2/10=1/5

The ratio shows how many times one value is contained in another value.

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

So,

The proportion that Colin gets is 7/10 of the money.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Let the total amount of money be 1.

Caroline:

Share = 1/10 of the money

Remaining money:

= 1 - 1/10

= 9/10

Colin and Sarah:

Share = 2:7

Colin share = 2/9 x 9/10 = 2/10

Sarah share = 7/9 x 9/10 = 7/10

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

Thus,

The proportion that Colin gets is 7/10 of the money.

Learn more about ratios here:

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Answer:

10.2 inches by 4.125 inches

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

Espero y esto te ayude :) si me falto algo lo siento.

Step-by-step explanation:

Si se oferta un producto al 10% de descuento, esto significa que el precio final del producto será 90% del precio original. Para hallar estos datos, debemos usar una regla de tres, de la siguiente forma:

100% 90%

-------------------- → ---------------------------

Precio Original Precio con Descuento?

SARAPES

- Ana: descuento (14), precio rebajado 126

Precio rebajado = 140.90 / 100 = 126

Descuento: 140 - 126 = 14

- Javier: descuento (8), precio rebajado 72

Precio rebajado = 80.90 / 100 = 72

Descuento: 80 - 72 = 8

ARETES

- Luis: descuento (5), precio rebajado 72

Precio rebajado = 50.90 / 100 = 45

Descuento: 50 - 45 = 5

- Ana: Precio original (60) , descuento (6), precio rebajado 54

Precio original: X.0,10 = 6

X = 60

Precio rebajado: 60 - 6 = 54

- Javier: Precio original (40) , descuento (4), precio rebajado 36

Precio original: X.0,10 = 4

X = 40

Precio rebajado: 40 - 4 = 36

Answer: The answer is x^2+2xy+2y^2–3x–3y–1

Step-by-step explanation: Move 2 to the left of y^2.

Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Answer:

12 sales

Step-by-step explanation:

a and b

65 per sale maximum commision 1300 so no base

40 per sale base 300

Set up equation:

[tex]65x=40x+300[/tex]

Solve:

[tex]25x=300[/tex]

[tex]x=12[/tex]

So they must have had 12 sales.

Hope this helps :D

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

Answer:

$94.25

Step-by-step explanation:

You would also have a $21.75 profit

Answer:

$94.25

Step-by-step explanation:

72.5*0.3=21.75

21.75+72.5=94.25

Answer:

I do not know what this is

Step-by-step explanation:

Step-by-step explanation:

I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out

Answer:

grabbed

Step-by-step explanation:

just lose the is

Answer:

Avery is right, because [tex]g(x) = f(x)+2[/tex].

Cindy is right, because [tex]g(x) = f(x+1)[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the vertical translated version of [tex]f(x)[/tex] if and only if:

[tex]g(x) = f(x)+k[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]

[tex]k = g(x)-f(x)[/tex]

If we know that [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:

[tex]k = (2\cdot x + 3) - (2\cdot x +1)[/tex]

[tex]k = 2[/tex]

Then, Avery is right, because [tex]g(x) = f(x)+2[/tex].

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] functions, then [tex]g(x)[/tex] is the horizontal translated version of [tex]f(x)[/tex] if and only if:

[tex]g(x) = f(x+k)[/tex], [tex]\forall \,k\in \mathbb{R}[/tex]

If we know that  [tex]f(x) = 2\cdot x + 1[/tex] and [tex]g(x) = 2\cdot x + 3[/tex], then:

[tex]g(x) = 2\cdot x + 3[/tex]

[tex]g(x) = 2\cdot x + 2 + 1[/tex]

[tex]g(x) = 2\cdot (x+1)+1[/tex]

[tex]g(x) = f(x+1)[/tex]

Then, Cindy is right, because [tex]g(x) = f(x+1)[/tex].

Answer:

no

Step-by-step explanation:

Answer:

The sum of 7 and x.

Step-by-step explanation:

PLS GIVE BRAINLIEST

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

[tex](y-k)=n(x-h)^2[/tex]

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

[tex]\dfrac{1}{n}(y-k)=(x-h)^2[/tex]

[tex]p(y-k)=(x-h)^2[/tex]

where [tex]p=\dfrac{1}{n}[/tex], the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, [tex]|-0.5|=0.5[/tex]

For option B, [tex]|5|=5[/tex]

For option C, [tex]|8|=8[/tex]

For option D, [tex]|-10|=10[/tex]

Since, the equation is option A has smallest value of |p|, therefore, the equation [tex](x+2)^2=-0.5(y+3)[/tex] represents the steepest parabola.

Hence, the correct option is A.

Answer:

The prime factorization of 600 is 2, 2, 2, 3, 5, and 5

Answer:

600 = 2 × 2 × 2 × 2 × 3 × 3 × 5

Step-by-step explanation:

2 |600

2 |300

2 |150

2 |75

3 |15

3 |5

5 |1