A balloon rises vertically at the rate
of 10 ft. per second. If it encounters
a wind that gives a horizontal displace-
ment of 5 feet per second,
find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
a.
b.
find (to the nearest 10 feet) its
distance from the starting point
after one minute.​

Answer:

The answer should be A)3

why:because angles 1 and 4 are much smaller and angle 2 is a 90 degree angle

Answer:

16 units

Step-by-step explanation:

the formula of a triangle is hbb/2

Answer:

g(4) = 157

Step-by-step explanation:

g(x) = 8x^2 + 9x - 7

Let x  =4

g(4) = 8 * 4^2 +9*4 -7

       =8*16 +36 - 7

        =128+36-7

        =157

Answer:

157

Step-by-step explanation:

g(x)=

[tex]{8x}^{2} + 9x - 7[/tex]

g(4) =

[tex]8( {4})^{2} + 9(4) - 7 \\g(4) = 8 \times 16 + 36 - 7 \\ g(4) = 128 + 29 \\ g(4) = 157[/tex]

Answer:

2/7

Step-by-step explanation:

There are 14 things to choose from

4 of them are ice cream cone

P ( ice cream) = number of ice cream/ total

                       =4/14

                       =2/7

Answer:

Image linked*

Step-by-step explanation:

Reflectional symmetry states  basically that if an object is bisected or cut in half into two equal part the sides will be proportional In This case T will be cut vertically down the center as shown with the blue arrow

Answer:

c

Step-by-step explanation:

Answer:

55 39

Step-by-step explanation:

Answer:

6 25/100

reduces is 6 1/4

Step-by-step explanation:

Answer:

y + 1 = -2/1 (x - 6)

Step-by-step explanation:

The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.

Answer:

Step-by-step explanation:

First, since the line is perpendicular to the given one, the slopes are negative reciprocals. The slope of the equation we must write is -2.

Now, we can set up point slope form:

y-y1 = m(x-x1)

y + 1 = -2(x - 6)

Now, we can change that to slope intercept form:

y + 1 = -2(x - 6)

y + 1 = -2x + 12

y = -2x -11

Hope this helped :)

Answer:

option A

Step-by-step explanation:

From the picture, we can see that:

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

[tex]a^x + a^y = a ^{x+y}[/tex]

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

Answer:

3^12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

n ≥ - 5

The symbol means that n can equal - 5 and values greater than - 5

Values greater than - 5 are to the right of - 5 on the number line.

- 4.5 and - 3 are to the right of - 5, thus greater than - 5

The set of values which make the inequality true are

{ - 5, - 4. 5, - 3 } → B

Answer: Q

Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.

Number lines are used to represent numbers at regular interval.

[tex]\sqrt{23}[/tex] is represented by point Q

The number is given as:

[tex]\mathbf{Number = \sqrt{23}}[/tex]

Take square root of 23

[tex]\mathbf{Number = 4.79583152331}[/tex]

The above equation means that: the square root of 23 is between 4 and 5, and it is closer to 4.5 than 5.

The point on the number line that represents the above highlight is point Q.

Hence, [tex]\sqrt{23}[/tex] is represented by point Q

Read more about number lines at:

https://brainly.com/question/19943246

Answer:

A. Securing venture capital

Answer: getting debt financing

Step-by-step explanation:

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

[tex]h(x)=\log_2x[/tex]

[tex]m(x)=\log_2(x+3)[/tex]

The function m(x) can be written as

[tex]m(x)=h(x+3)[/tex]           ...(1)

The translation is defined as

[tex]m(x)=h(x+a)+b[/tex]           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=3,b=0[/tex]

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

Answer:

D

Step-by-step explanation:

you can just find the value of y and try some number of x

i.e. if x = 0, both of them will be 0

x = 1

G(x) result is -2

F(x) result is 1

x= -1

G(x) result will be 2

F(x) result is -1

so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis

Answer: 28.27

Step-by-step explanation:

Area of circle = pi * r^2

Subtract either the x coordinates or y coordinates by each other to find the length of the radius. In this case, the x coordinates have a distance when you subtract.

2 - 2 = 0

3 - 0 = 3

The radius is 3

3^2 = 9

So, the area of the circle is 9 * pi

(9)pi = 28.27433388230814

To the nearest hundredth, the area of the circle is 28.27

Answer:

The average temperatures were:

Step-by-step explanation:

Remember that, the average is obtained in the form below:

In this case, the number of values is 12 because are the number of months in the year. The sum of values is shown below for each case:

I don't add units because the table doesn't specify if they are Celsius, Fahrenheit, or others.

Answer:

On the second step there is a mistake. You have to multiply 2 times 2 before you add the five

Answer:

See below;

Step-by-step explanation:

We are given the following;

5 + [ 2 * 2 + 5 ], ⇒ add 2 and 5

5 + [ 2 *  7 ], ⇒ multiply 2 by 7

5 + 14, ⇒ combine like terms

Solution; 19

Now as we can see from the first ⇒ second step the process as to simplify the expression 5 + [ 2 * 2 + 5 ] further, was by adding 2 and 5. Of course by PEDMAS, it would be that multiplication takes place before that of addition, so that it should have been that 2 was multiplied by 2 first!

Solution below;

Steps |                            |

          |  5 + [ 2 * 2 + 5 ]  |

  X     |    5 + [ 2 *  7 ]     |

          |         5 + 14         |

          |            19            |

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

Answer:

3/4

Step-by-step explanation:

The given equation is in the form of y=mx+b

This is where m is the slope, and b is the y intercept.

This said, the slope of the equation is 3/4.

I will attach an image of the graph. I put the equation in a graphing calculator.

If you need to graph by hand, first plot the y intercept, (0,2) and then use the slope to find more points. Then, connenct the points with a ruler.

The image you attached is not the graph of y=3/4x+2, it is the graph of y=5.

It's slope is equal to 0.

Answer:

8

Step-by-step explanation:

because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42

then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!

(sorry if the explanation doesnt make sense )

Answer:

y-7= -4(x-2)

Step-by-step explanation:

Y-Y1=M(X-X1) - point slope form equation.

Plug in each coordinate into their coresponding places, X1, Y1 and M (the slope).

Answer:

Step-by-step explanation:

4(x+5)=9x+4x-34

4x + 4*5 = 9x + 4x - 34    {distributive property}

4x + 20 - 4x = 9x + 4x - 34 - 4x  {subtraction property of equality}

20 = 9x - 34  

20 + 34 = 9x - 34 + 34  {Addition property of equality}

54 = 9x

54/9 = 9x/9  {division property of equality}

6 = x

x = 6

Answer:

sin(theta)=3/5

Step-by-step explanation:

tan(theta)=3/4

sec^2(theta)=1+tan^2(theta)=1+(3/4)^2=1+9/16=(16+9)/16=25/16

sec(theta)=square root of(25/16)=5/4

sec(theta)=1/cos(theta)=5/4

cos(theta)=4/5

sin^2(theta)=1-cos^2(theta)=1–16/25=(25–16)/25=9/25

sin(theta)=3/5

So

sec(theta)=5/4

sin(theta)=3/5

Answer:

Yes, time play a factor in his decision, because after 3 years, option a is better, but after 9 years, option b is better.

Step-by-step explanation:

The following information is missing:

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual  raise of $3,500 or b) an annual raise of 5% of his current salary.

The function that describes each situation is:

a) f(x) = 60,000 + 3,500*(x-1)

b) f(x) = 60,000*1.05^(x-1)

where x represents years and f(x) his salary.

Mr. Nicholson’s potential income for three years and nine years for each situation are:

a) f(3) = 60,000 + 3,500*(3-1) = $67,000

f(9) = 60,000 + 3,500*(9-1) = $88,000

b) f(3) = 60,000*1.05^(3-1) = $66,150

f(9) = 60,000*1.05^(9-1) = $88,647

Answer: 36 square feet

Step-by-step explanation:

Answer:

volume of cone is 285

volume of cylinder is 95

Step-by-step explanation: