What is the measure of the missing angle 25 112 100 58 x

9514 1404 393

Answer:

  516 m  or  1235 m

Step-by-step explanation:

The height of the balloon depends on the geometry of the problem. Assuming the stations are in line with each other and the balloon, there are a couple of possible configurations that satisfy the problem description. They are shown in the attachment.

If the balloon is between the stations, the height is 516 m.

If the balloon is not between the stations, the height is 1235 m.

_____

A graphing program solves the problem nicely. If you want to solve it algebraically, You can write equations for the horizontal distance from each station to the balloon.

  d1 = h/tan(54.2°)

  d2 = h/tan(73.5°)

In one of the possible geometries, ...

  d1 + d2 = 525

  h(1/tan(54.2°) +1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(54.2°) +tan(73.5°)) ≈ 516.0 . . . meters

In the other possible geometry, ...

  d1 -d2 = 525

  h(1/tan(54.2°) -1/tan(73.5°)) = 525

  h = 525tan(54.2°)tan(73.5°)/(tan(73.5°) -tan(54.2°)) ≈ 1235.3 . . . meters

The balloon could be 516 or 1235 meters high.

Answer:

C) v≤-5

Step-by-step explanation:

[tex]4v\leq -20[/tex]

Divide each side by 4,

[tex]v\leq -5[/tex]

Answer:

D obtuse *********************

Answer:

x= 142°

I hope it's helps you

Answer:

x = 142°

(x and 142° are vertically opposite angles.)

Answer:

(-0.607 ; 1.757)

Step-by-step explanation:

Student: __ 1 ___ 2 ___ 3 ___ 4

Fall _____2.6__ 3.0__ 1.5 __1.4

Spring___ 1.7__ 2.2 __1.4 __0.90

Using calculator :

Fall:

Xbar1 = 2.125

Sample size, n1 = 4

Standard deviation, s1 = 0.8

Spring :

Xbar2 = 1.55

Sample size, n2 = 4

Standard deviation, s2 = 0.54

Confidence interval :

(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2

Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]

df = n - 1

(xbar1 - xbar2) = 2.125 -1.55 = 0.575

Hence,

Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)

Sp= √2.7948 ÷ 6

Sp = √0.4658

Sp= 0.682

Tcritical at 95%, df = 4 = 2.45

Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182

Confidence Interval:

Lower boundary = 0.575 -1.182 = -0.607

Upper boundary = 0.575 + 1.182 = 1.757

(-0.607 ; 1.757)

Answer:

A.

Elena can run 3 miles per hour.

Step-by-step explanation:

Given that:

a circular running track = 1/5 mile

On this track, Elena runs completing each of the laps in 1/15 of an hour

We are to find Elena running speed.

It implies that the distance of Elena = [tex]\dfrac{1}{5}[/tex]

Time to run each lap = [tex]\dfrac{1}{15} \ of \ an \ hour[/tex]

Speed is the amount of distance covered in a specified period of time.

Recall that the formula for calculating speed is:

[tex]Speed = \dfrac{distance}{time}[/tex]

[tex]Speed = \dfrac{\dfrac{1}{5}}{\dfrac{1}{15}}[/tex]

[tex]Speed ={\dfrac{1}{5}\times \dfrac{15}{1}[/tex]

Speed =  3miles / hour

As such, Elena can run 3 miles each hour.

Answer:

B -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

hope it helps you.good day

A line that passes through the point (-3, -6) has a slope of 4/3. Which is another point on this line?

Answer:

[tex]Area = 346m^2[/tex]

Step-by-step explanation:

Given

[tex]Length = 5m\\Width = 6m\\Height = 13m[/tex]

Required

Determine the surface area

This is calculated as:

[tex]Area = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

So, we have:

[tex]Area = 2 * (5m * 6m + 5m * 13m + 6m * 13m)[/tex]

[tex]Area = 2 * (30m^2 + 65m^2 + 78m^2)[/tex]

[tex]Area = 2 * (173m^2)[/tex]

[tex]Area = 346m^2[/tex]

Answer:

The rate at which the distance from the plane to the station is increasing is 331 miles per hour.

Step-by-step explanation:

We can find the rate at which the distance from the plane to the station is increasing by imaging the formation of a right triangle with the following dimensions:

a: is one side of the triangle = altitude of the plane = 3 miles

b: is the other side of the triangle = the distance traveled by the plane when it is 4 miles away from the station and an altitude of 3 miles

h: is the hypotenuse of the triangle = distance between the plane and the station = 4 miles                    

First, we need to find b:    

[tex] a^{2} + b^{2} = h^{2} [/tex]   (1)    

[tex] b = \sqrt{h^{2} - a^{2}} = \sqrt{(4 mi)^{2} - (3 mi)^{2}} = \sqrt{7} miles [/tex]

Now, to find the rate we need to find the derivative of equation (1) with respect to time:

[tex]\frac{d}{dt}(a^{2}) + \frac{d}{dt}(b^{2}) = \frac{d}{dt}(h^{2})[/tex]

[tex] 2a\frac{da}{dt} + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

Since "da/dt" is constant (the altitude of the plane does not change with time), we have:  

[tex] 0 + 2b\frac{db}{dt} = 2h\frac{dh}{dt} [/tex]

And knowing that the plane is moving at a speed of 500 mi/h (db/dt):

[tex]\sqrt{7} mi*500 mi/h = 4 mi*\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt} = \frac{\sqrt{7} mi*500 mi/h}{4 mi} = 331 mi/h[/tex]  

Therefore, the rate at which the distance from the plane to the station is increasing is 331 miles per hour.

I hope it helps you!

Answer:

Step-by-step explanation:

x²-2x=-26

add both sides (-2/2)² or 1

x²-2x+1=-26+1

x²-2x+1=-25

(x-1)²=25×-1

(x-1)²=5²×i²=(5i)²

x-1=±5i

x=1±5i

Answer:

146 whistles

Step-by-step explanation:

First, convert 122 feet to inches, by multiplying it by 12

122(12)

= 1464

Divide this by 10 to find how many whistles he can make

1464/10

= 146.4

Since we can only have a whole number of whistles, we have to round down to 146.

So, he can make 146 whistles

Answer:

512

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length × width × height

= 8 × 8 ×8

= 512

Answer:

25%

Step-by-step explanation:

If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.

5600-4200=1400

Then you can set up the number of people who didnt vote as equal to a percentage over 100

1400/5600=x/100

140000/5600=x

25=x

Answer:

11.4 units is your answer :)

Answer:

maybe option 1st

Step-by-step explanation:

Hope this will help you dear.

Answer:

3

Step-by-step explanation:

the triangle is a right triangle, meaning that we can use the pythagorean theorem to find a hypotenuse that will satisfy both Rs. if we use 3 as the radius, we get the hypotenuse as 2 + 3 = 5, where one leg is 3 and one is 4.

[tex] \sqrt{} 3 {}^{2} + 4 { }^{2} = 5 [/tex]

so we know that a radius of 3 is right

The expression that represents the total cost of the donuts is: c + d

To determine the expression that represents the total cost, the following parameters are needed

Let c represents the cost of the donut box, and d represents the cost of the donut, itself

Hence, the expression that represents the total cost is:

c + d

Read more about algebraic expressions at:

https://brainly.com/question/4344214

Answer:

It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.

Answer:

119

Step-by-step explanation:

14x17 = 238)/2

Answer:

that anzwer will be (9) ok

Answer:

D.

Step-by-step explanation:

Answer:

x < 19

Step-by-step explanation:

Given that,

An inequality 2x - 5 < 33.

LHS of the inequality is 2x - 5

RHS of the inequality is 33

LHS < RHS

i.e.

2x - 5 < 33

Add 5 to both sides of the inequality

2x - 5 +5 < 33+5

2x < 38

Divide both sides by 2.

x < 19

So, the value of x is less than 19.

A root emerges from a seed because of the Force of Hydrotropism.

Here a root emerges from a seed.

What is Hydrotropism?

The growth or movement of a fixed organism, especially a plant, or a part of an organism towards or away from water, is called Hydrotropism.

A root emerges from a seed because of the Force of Hydrotropism.

Learn more about the Hydrotropism visit:

https://brainly.in/question/710216

#SPJ6

Step-by-step explanation:

when you look at the graphic and the right-angled triangle :

sine is the length of the vertical leg (opposite of the associated angle) divided by the length of the Hypotenuse (the baseline opposite of the 90° angle), because the sine function values are defined for the norm circle with radius 1. for any larger circle (or triangle inscribed in such a larger circle), we get the basic trigonometric function values by measuring the sides and norming to a radius of 1 (dividing them by the length of the actual radius).

cosine is the horizontal leg (at the "bottom").

the same principle applies. the cosine value is the length of that leg divided by the length of the Hypotenuse.

we know from the given ratio for sine, that the length of the Hypotenuse is 6.

so, we know 2 sides of the right-angled triangle :

the vertical leg is 5, the Hypotenuse is 6.

now, we use Pythagoras to get the horizontal leg :

6² = 5² + leg²

36 = 25 + leg²

11 = leg²

leg = sqrt(11)

and so cosine of the angle is

sqrt(11)/6

Answer:

Opposite sides are congruent (AB = DC).

Opposite angels are congruent (D = B).

Consecutive angles are supplementary (A + D = 180°).

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

Each diagonal of a parallelogram separates it into two congruent triangles.

Number of sides = 4

Number of vertices = 4

Mutually Parallel sides = 2 (in pair)

Area = Base x Height

Perimeter = 2 (Sum of adjacent sides length)

Type of polygon = Quadrilateral

The opposite sides are parallel and congruent

The opposite angles are congruent

The consecutive angles are supplementary

Each diagonal bisects the parallelogram into two congruent triangles

Sum of square of all the sides of parallelogram is equal to the sum of square of its diagonals. It is also called parallelogram law

Please brianliest! Also, I gave you 2 extra facts   :)

Answer:

5.5

Step-by-step explanation:

Answer:

sin 47° = 0.731

Step-by-step explanation:

the complementary angle to 43° is 47°

sin 47° = 0.731

Answer:

0.731

Step-by-step explanation:

Because of the identity

cos x = sin(90-x).

Answer:

Step-by-step explanation:

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

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