A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

If two parallel lines are intersected by a transversal, then internal opposite angles are equal.

So, x° = 61°

=> x = 60

Because they are internal opposite angles.

Answer:

0 =-4.5X +49.5

x = 11

Step-by-step explanation:

x1 y1  x2 y2

1 45  3 36

(Y2-Y1) (36)-(45)=   -9  ΔY -9

(X2-X1) (3)-(1)=    2  ΔX 2

slope= -4  1/2    

B= 49  1/2    

Y =-4.5X +49.5    

Answer:

1. a) x^2 + 6x + 27

b) 4x^2 - 4x + 1

c) x^2 - 4y^2

d) x^3 + 6x^2 + 12x + 8

e) x^3 - 9x^2 + 27x - 27

Answer:

C

Step-by-step explanation:

f is neither even nor odd

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

Cost= 0.24 * 0.0175 = GHc 0.0042

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The cost of weeding the rectangular plot is 0.0042 GHc.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

A.) The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,

Perimeter of the rectangel = 2(L+W)

80 = 2[(2x+5)+(x-10)]

80/2 = 2x+5+x-10

40 = 3x -5

40+5 = 3x

x = 15

Hence, the value of x is 15.

B.) The length of the rectangle = (2x+5) = 2(15)+5 = 35 cm = 0.35 m

The width of the rectangle = (x-10) = 15-10 = 5 cm = 0.05 m

Now, the area of the rectangle = L×B = 0.35m × 0.05m  = 0.0175m²

C.) Given the cost of weeding 1m² is 0.24, therefore, the cost of weeding the rectangular plot is

Cost = 0.0175 × 0.24 = 0.0042 GHc

Hence, the cost of weeding the rectangular plot is 0.0042 GHc.

Learn more about Rectangle:

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Answer:

Step-by-step explanation:

Let

x = cost per mile

y = Total cost

Plan 1:

y = 59 + 0.15x

Plan 2:

y = 50 + 0.20x

Equate the total cost of the two plans

59 + 0.15x = 50 + 0.20x

59 - 50 = 0.20x - 0.15x

9 = 0.05x

x = 9/0.05

= 180

x = 180 miles

y = 50 + 0.20x

= 50 + 0.20(180)

= 50 + 36

= 86

y = 86

Answer:

12

Step-by-step explanation:

Add 10l to 12l to13l to11l to 14l=60l the divide 60l by the number of houses which will be 12 and there is your correct answer

Answer:

1) X = 0

2) X = 0 or X = 1

Step-by-step explanation:

1)

[tex] \sqrt{6x} + 9 + 2 = 11 [/tex]

6x = 0 since root can only be = 0 if radicand is 0

X = 0

2)

[tex] \sqrt{x} - 3 + 3 = x[/tex]

[tex] \sqrt{x} = x[/tex]

X = x^2 ( We are squaring both sides to simplify)

x-x^2 = 0

x (1-x) = 0 (Factor the expression)

X = 0 or

1 -x = 0

X = 1

Answered by Gauthmath

Answer:

either 5 or 6

Step-by-step explanation:

I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.

Answer:

The length of each hot dog is 0.5000 inches.

Step-by-step explanation:

Total number of hot dogs eaten = 7 000 000 000

Circumference of the earth = 24 860 miles

21.5 times the circumference of the Earth = 21.5 x 24 860 miles

                                                = 534490 miles

But,

1 mile = 5280 feet

So that,

534490 miles = X

X = 5280 x 534490

   = 287707200 feet

Also,

1 feet = 12 inches

Then,

287707200 feet = Y

Y = 12 x 287707200

   = 3452486400 inches

Thus,

the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]

                     = 0.4932

The length of each hot dog is 0.5000 inches.

Answer:

50m

Step-by-step explanation:

speed (m/s2) = distance (m) ÷ time (s)

distance = speed (m/s2) x time (s)

1x20 =20m.

30s = 30m because they do 1 meter per second (every second)

50m in total if not counting the constant for half a hour.

Answer:

[tex]y = \frac{1}{4}x -2[/tex]

Step-by-step explanation:

Step 1:  Find the standard form of the equation

The equation that was given made no sense so I will recreate the entire equation using the point slope formula.

Use the point slope formula

[tex]y - y_{1} = m(x - x_{1})[/tex]

[tex]y - (-3) = m(x - (-4))[/tex]

[tex]y +3 = m(x + 4)[/tex]

Find the slope

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

[tex]m = \frac{1-(-3)}{12-(-4)}[/tex]

[tex]m = \frac{1+3}{12+4}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m=\frac{1}{4}[/tex]

Combine them together

[tex]y +3 = \frac{1}{4}(x + 4)[/tex]

Convert to standard form

[tex]y +3 = \frac{1}{4}x + 1[/tex]

[tex]y +3 - 3 = \frac{1}{4}x + 1 - 3[/tex]

[tex]y = \frac{1}{4}x -2[/tex]

Answer:  [tex]y = \frac{1}{4}x -2[/tex]

Answer:

134.1

Step-by-step explanation:

Area of the circle = 49π = 153.9 (rounded to the nearest tenth)

Segment area,

49/2(150π/360-sin(150))

= 19.8 (rounded to the nearest tenth)

Subtracting them,

153.9-19.8

= 134.1 cm²

Answered by GAUTHMATH

The area of the shaded region is 134.1 cm²

'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'

According to the given problem,

Area of the circle = πr²

                              = π × 7 × 7 cm²

                              = 153.9 (rounded to the nearest tenth)

Area of the Shaded region,

= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]

=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]

= 19.8 (rounded to the nearest tenth)

Subtracting them,

= 153.9 - 19.8

= 134.1 cm²

Hence, we can conclude that the area of the shaded region is 134.1cm²

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The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.

First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.

Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).

So at this point, we know one angle and the adjacent cathetus to that angle.

And we want to find the height of the tower, which is the opposite cathetus to the known angle.

Then we can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing these by the things we know:

tan(θ) = H/S

tan(θ)*S = H

Then, by measuring θ and S, we can find the height.

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Answer:

yes

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Given

3x + 5 + 7x + 2 ← collect like terms

= (3x + 7x) + (5 + 2)

= 10x + 7 → option 3

According to the question

=3x + 5+7x + 2

Combining Like terms

= (3x + 7x) +(5+2)

= 12x + 7

Therefore the correct option is third

10x + 7

Answered by Gauthmath must click thanks and mark brainliest

Answer:

10/3

Step-by-step explanation:

rate of change = gradient

(17-7)/(6-3) = 10/3

basically difference of y values / difference of x values

Answer:

Out of those choices, the answer in the first image makes the most sense

Answer:

La altura de la antena es 4.054 metros.

Step-by-step explanation:

La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:

[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)

Where:

[tex]h[/tex] - Altura de Marta, en metros.

[tex]l[/tex] - Longitud de la sombra de Marta, en metros.

[tex]L[/tex] - Longitud de la sombra de la antena, en metros.

[tex]H[/tex] - Altura de la antena, en metros.

Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:

[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]

[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]

[tex]H = 4.054\,m[/tex]

La altura de la antena es 4.054 metros.

Answer:

SOH-CAH-TOA

[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°

SOH = SIN = OPP/HYP

SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]

Step-by-step explanation:

Answer:

? = 32.20422

Step-by-step explanation:

We know the adjacent side and the hypotenuse

cos ? = adj / hyp

cos ? = 33/39

cos ? = 11/13

Taking the inverse cos of each side

cos ^ -1( cos ?) =  cos^-1(11/13)

? = 32.20422

Answer:

I think the answer is B

Answer:

9

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

9^8 / 9^7

9^(8-7)

9^1

9

Answer:

Total number in favour:

Probability:

Total number in against:

Probability:

you can go for option g cause ans is 14:5

Step-by-step explanation:

9 a = soln

3:9 = 6:n

or, 3/9 = 6/n

or, 3n = 54

or, n = 54/3

so, n = 18

b = soln

n/10 = 6/15

or, 15n = 60

or, n = 60/15

so, n= 4

10) a = 15% of 450

= 15/100 * 450

= 15/10 * 45

or, 15/2 * 9

or,  135/2

= 67.5 g

b= 125% of 60

= 125/100 * 60

= 5/4 * 60

= 5*15

= $75

Answer:

x^2 +2x+xy +2y

Step-by-step explanation:

(x + y) (x + 2)

FOIL

first x*x = x^2

outer  x*2 =2x

inner y*x= xy

last = y*2 =2y

Add together

x^2 +2x+xy +2y

Answer:

Step-by-step explanation:

F - First ; O - Outside ;  I - inside  ; L -last

(x + y)(x + 2) = x*x + x*2 +y*x +y*2

                    = x² + 2x + xy +2y

Answer:

Step-by-step explanation:

We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:

S(t)=-0.2t+4

we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

Answer:

y = 3.8 - 0.2x

Step-by-step explanation:

Khan Academy

Answer:

4√3

Step-by-step explanation:

5√27-2√48-5√3-(√3-2√3)2

= 5√(3x9)-2√(3x16)-5√3-2√3+4√3

= 5(3)√3-2(4)√3-5√3-2√3+4√3

= 15√3-8√3-5√3-2√3+4√3

= 4√3