Your hot air balloon is rising at the rate of 4 feet per second. Another aircraft nearby is at 7452 feet and is losing altitude at the rate of 30 feet per second. In how many seconds will your hot air balloon be at the same altitude as the other aircraft?​

Answers

Answer 1
Answer:

Answer:

219.2\ sec

Step-by-step explanation:

Let

y ----> the altitude in feet

x ----> the time in seconds

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope ot unit rate

b is the y-intercept or initial value

In this problem we have

Your hot air balloon

The slope is equal to m=4\ (ft)/(sec)

The y-intercept is b=0 ---> represent a proportional relationship

The linear equation is

y=4x ----> equation B

Another aircraft

The slope is equal to m=-30\ (ft)/(sec) ---> is negative because is a decreasing function

The y-intercept is b=7,452\ ft

The linear equation is

y=-30x+7,452 ----> equation B

Equate equation A and equation B

4x=-30x+7,452

solve for x

Adds 30x both sides

4x+30x=7,452

34x=7,452

Divide by 34 both sides

x=219.2\ sec


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Please help...If g(x) = x2 + 2, find g(3).

A: 9

B: 8

C: 11

D: 6

Answers

As the g(x)=x^(2)+2

To find the value of g(3) we have to put the value of x equal to 3 everywhere in g(x)

Therefore g(3)=(3)^2+2

on solving the equation

g(3) = 9+2

g(3) = 11

Hence g(3) =11 is the answer


Hope this will help


A square has a side length of 4\19x - 9 units. what is its perimeter in terms of x?a) 4\19x - 36

b) 16\19x-9

c) 16\19x-36

d) 16\19x +36

Answers

16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

What is Square?

square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram

We need to find the perimeter of square whose side length is 4\19x - 9 units.

Perimeter of square=4a

Where a is length of side

a=4\19x - 9

Perimeter of square=4(4\19x - 9)

Apply distributive property

=16/19 x-36

Hence 16/19 x-36 is the perimeter of square whose side length is 4\19x - 9 units

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The answer is c because you add 4/19x four time because it is a square. That will be 16/19x. Then you add -9 four time for the same reason and end up with -36.

How do I solve this?

Answers

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

What is the correct sums 7 hundredths + 7 tenths ,7 tenths + 70 hundredths
,1 tenth + 17 hundredths
,10 tenths + 4 hundredths
,11 hundredths + 8 tenths

,Options 177\100 91\100 140\100 77\100 27\100 104\100

Answers

a) (7)/(100) + (7)/(10) = (7)/(100) + (7*10)/(10*10) = (7+70)/(100) = (77)/(100)  \n  \n b) (7)/(10) + (70)/(100) = (7*10)/(10*10)+ (70)/(100)= (70+70)/(100)= (140)/(100)   \n  \n  c)(1)/(10) + (17)/(100) = (1*10)/(10*10) + (17)/(100)= (10+17)/(100)  = (27)/(100)  \n  \n d) (1)/(1) + (4)/(00) =(1*100)/(1*100) + (4)/(100) = (100)/(100) + (4)/(100) = (104)/(100)  \n  \n

e) (11)/(100)+ (8)/(10)  = (11)/(100)+(8*10)/(10*10) =(11+80)/(100) = (91)/(100)

Whats 3x9 + 10 x 36/6?

Answers

The solution to the expression 3 * 9 + 10 * 36/6 is 87

How to evaluate the expression

From the question, we have the following parameters that can be used in our computation:

3 * 9 + 10 * 36/6

Evaluate all the products in the expression

so, we have the following representation

3 * 9 + 10 * 36/6 = 27 + 360/6

Evaluate all the quotients in the expression

so, we have the following representation

3 * 9 + 10 * 36/6 = 27 + 60

Lastly, we have

3 * 9 + 10 * 36/6 = 87

Hence, the solution is 87

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Answer:

87

Step-by-step explanation:

3x9+10x36/6

multiply 3x9 and divided 36/6

27+10x6

27+60

87

How are equivalent fractions used when subtracting unlike fractions?

Answers

When you subtract unlike fractions so you need a common denoimeter

Example:

1/2-3/4

1/2= to 2/4

3/4 - 2/4=1/4

Answer: 1/4
they are used because u need a common denominator