Prompt: It's 5:30 AM, and as a helicopter pilot you've just been told there's an injured man on a boat you need to get to a hospital . The boat is going towards where you are a at 10 mph, but is currently 400 miles away. You need to get him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?​

Answer: a. they are alternate exterior angles.

b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.

14x + 2 = 9 + 13x

14x + 2 = 13x + 9

14x = 13x + 9 - 2

14x = 13x + 7

14x = 7 + 13x

14x - 13x = 7

x = 7

To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7

100 = 100

So, we are correct.

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Answer:   28.5 is what percent of 30? = 95.

Step-by-step explanation:

Refer to the attachment

Answer:

[tex]\sqrt[2]{225} =15[/tex], [tex]\sqrt[2]{961} =31[/tex], [tex]\sqrt[2]{3969} =69[/tex], [tex]\sqrt[2]{10404} =102[/tex]

Step-by-step explanation:

[tex]\sqrt[2]{225} =\sqrt{15*15}=15[/tex]

[tex]\sqrt[2]{961}=\sqrt{31*31} =31[/tex]

[tex]\sqrt[2]{3969} =\sqrt{69*69} =69[/tex]

[tex]\sqrt[2]{10404} =\sqrt{102*102}=102[/tex]

Answer:

c

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.

(9y - 6) + 51 = 90 (right angle)

9y - 6 + 51 = 90

9y - 6 = 90 - 51

9y - 6 = 39

9y = 39 + 6

9y = 45

y = 45/9

y = 5

_______

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer: I would go with A.(B)

Step-by-step explanation:

The graph A. is the correct one

Step-by-step explanation:

I=PTR/100

cross multiply to get 100I= PTR

Put 100I/PR and PTR/PR

HENCE u get 100I/PR=T

THIS is because the PR cancelled from PRT to remain with T

Answer:

slope = 3

y-intercept = -5

Step-by-step explanation:

y = mx + b

m = slope; b = y-intercept

y = 3x - 5

y = 3x + (-5)

m = 3 = slope

b = -5 = y-intercept

Answer:

The slope is 3 and the y-intercept is negative 5.

The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.

Step-by-step explanation:

hope this helps. . . <3

good luck!     UwU

Answer:

Step-by-step explanation:

Inequalities

Chris has a goal to get through at least 14 books:

He has at most 120 hours that he can spend on books:

He wants to complete at least 2 audio books and at least 4 paper books:

Answer:

Step-by-step explanation:

Altitude or height

Answer

It is known as altitude

There are three such altitudes and the point of intersection of these altitudes

is called as orthocentre

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]

[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]

[tex]\\ \sf\longmapsto X^0[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]

Let's divide by 5 and play with the LHS of the first equation a bit:

[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.

[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]

Answer: x=4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]\dfrac{13}{24}< \dfrac 7{12} < \dfrac 34[/tex]

Answer:

C = 13

Step-by-step explanation:

A²+B²=C²

where c is the hypothenuse

5²+12²=c²

25+144=c²

169=c²

√169 = c

13 = c

Answer: 12*(43*B)

Step-by-step explanation:

12*(43*B)

If the house is sold with a 25% profit then the purchase price of the house will be equal to $48,675.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

The selling price of the house = $64,900

Profit percent = 25%

The profit price of the house after selling,

64900 × 25/100

= $16225

Now,

The purchase price of the house,

$64900 - $16225 = $48675.

To know more about Percentage:

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Answer:

Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon and Decagon

Answer:

1.Regular Polygons.

2.Irregular Polygons.

3.Concave Polygons.

4.Convex Polygons.

5.Trigons.

6.Quadrilateral Polygons.

7.Pentagon Polygons.

8.Hexagon Polygons.

Step-by-step explanation:

Answer:

(7n+12)^2 or (7n+12)(7n+12)

Step-by-step explanation:

Answer:

(7n+12)^2    or     (7n+12) (7n+12)

Step-by-step explanation:

Both answers are the same thing it's just shortened with the first equation.

Answer:

257

Step-by-step explanation:

216 + (5 x(8 + 1/5)

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +5 (from -3 to 2)

y changes by -15 (from 10 to -5)

so, the slope is -15/+5 = -3

the equation looks now like

y = -3x + b

let's use the first point

10 = -3×-3 + b = 9 + b

1 = b

so, the equation is

y = -3x + 1

Answer:

screen 1 =200

screen 2 =125

screen 3 =175

Step-by-step explanation:

screen 1   40% of 500 =200

screen 2   25% of 500 =125

screen  3  100%-(40%+25%)

                  100%-65%

                    35%

 35% of 500 =175

screen 1 =200

screen 1   40% of 500 =200

screen 2 =125

screen 2   25% of 500 =125

screen 3 =175

screen  3  100%-(40%+25%)

                 100%-65%

                   35%

35% of 500 =175

Hope this helps!!^^

The common difference d is

The first term is

so , the first term is -13

Answer:

Step-by-step explanation:

The fifth term:

The 10th term:

Subtract side-by-side and find d:

Find the first term:

Answer:

C. y = 1/4 x - 3

Step-by-step explanation:

I like to use the way flip the second fraction then cross cancel then multiply.

(-2/7)/(-8/21)

= (-2/7)(-21/8) (cross cancel) so 8 / 2 = 4 and 21 / 7 = 3. The 7 and 2 becomes 1.

= (-1/1)(-3/4)

= 3/4 or decimal 0.75

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

= (-2/7) * (-21/8)

=(-2*-21) / (7*8)

=42/56

= 3/4 -simplified

Answer:

45*x-10

Step-by-step explanation:

10 less than a number would give you

x - 10

and the product of a number means your multiplying and your multiplying 45 so you would get

45*x

add them together and you get

45*x-10

Answer:

−2.

Step-by-step explanation:

y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.

Answer:

Number 4

Step-by-step explanation:

Answer:

d

Step-by-step explanation: