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Answer:

63.75

Step-by-step explanation:

Hundredth is the second digit after the decimal so use the third digit to round the second.

If the digit you are using to round is [tex]\leq[/tex]4 then round down.

If the digit you are using to round is [tex]\geq[/tex]5 then round up.

The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

Related Link : https://brainly.com/question/14988219?

Answer: 18.4 ft

Step-by-step explanation:

Area= L x W

230= 12.5 x L (Divide both sides by 12.5 to get L)

L= 18.4 ft

Answer:

The length of the room is 18 2/5 feet.

Step-by-step explanation:

The formula for finding the area of rectangles is A = l · w

Since the area and width is given to you, we can substitute that in the formula:

230 = l · 12 1/2

Now we convert the 12 1/2 to an improper fraction so it is easier to solve.

Here's how you convert a mixed number to an improper fraction:

12 · 2 = 24

24 + 1 = 25

and put 25 over the original denominator

     = 25/2

Now you can add that to the equation...

l · 25/2 = 230 (I put 230 on the right side because that is how I am used to solving equations, but you can leave it on the right side as well. It is up to you)

To get rid of fractions, multiply by the reciprocal (Basically you flip the fraction so that the numerator becomes the denominator and the denominator becomes the numerator) on both sides

25/2 · 2/25 cancels itself out

   and

230/1 · 2/25...

   230 · 2 = 460

   1  · 25 = 25

So you would get 460/25

Thus, we end up with:

l = 460/25

Divide 460 by 25 and you get 18.4...

Technically 18.4 is the answer but in decimal form.

If you want it in fraction form, just take 0.4 and put it over 10 because 0.4 is in the tenths place. 4/10 simplifies down to 2/5...

Therefore, the answer is 18 2/5 feet.

I hope this is helpful! Let me know if you have any further questions :D

Answer:

Step-by-step explanation:

6 · 6 · 6 = 216

Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)

Answer:

2 √ 3 or 3.46410161

Step-by-step explanation:

I don't know math I just look it up tbh. Hope it helps ya though.

Answer:

eef the points thanks man

thanks

Step-by-step explanation:

Answer:

Answer:

eef the points thanks man

thanks

Step-by-step explanation:

Step-by-step explanation:

The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool

Change in volume of water in the pool after 112 minutes is [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Reason:

The given parameters are;

The volume volume of entering the pool = 10 3/4 gallons per minute

The volume of water leaving the pool = 12 1/3 gallons per minute

Required:

The change in the amount of water in the pool after 112 minute

Solution:

The volume of water, V₁, that enters the pool in 112 minute is given as follows;

The volume of water, that enters the pool, V₁ = 1,204 gallons

The volume of water, V₂, that  leaves the pool in 112 minute is given as follows;

The volume of water, that that leaves the pool, V₂ = 1,381[tex].\overline 3[/tex] gallons

The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;

ΔV = V₁ - V₂

Change in volume of water in the pool after 112 minutes, ΔV = [tex]\underline{-117\frac{1}{3}}[/tex] gallons

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Answer:

6x+3

Step-by-step explanation:

If you like my answer than please mark me brainliest

Answer:

(0, - 4 )

Step-by-step explanation:

3x - 2y = 8 → (1)

2x + 2y = - 8 → (2)

Adding (1) and (2) term by term will eliminate the y- term

5x + 0 = 0

5x = 0 , then

x = 0

Substitute x = 0 into either of the 2 equations and solve for y

Substituting into (2)

2(0) + 2y = - 8

0 + 2y = - 8

2y = - 8 ( divide both sides by 2 )

y = - 4

solution is (0, - 4 )

Answer:A decrease of 28%

Step-by-step explanation: the question says decreased so you can mark out A and B then 250-180 is 70, 70% of 250 is 28%

The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given question,

Initial price of Airfare = $250

Final price of Airfare = $180

The percentage = change/initial  ×  100

Percentage decrease = (250 - 180)/250  × 100

⇒ 0.28 × 100 = 28%

Hence "The percentage is the indicating hundredth thus the percentage change from $250 to $180 is 28%".

For more about the percentage,

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#SPJ2

Answer:

x=2

Step-by-step explanation:

Answer:

X =2

Step-by-step explanation:

4X=8

X=8/4

X=2

Answer:  150 miles

Step-by-step explanation:

Let A stand for Company A's Total Price, and B for Company B.  Let x be the number of miles driven.

A = $90 + ($0.20/mile)*x

B = $30 + ($0.60/mile)*x

We want to know for what x does A = B

$90 + ($0.20/mile)*x = $30 + ($0.60/mile)*x

$60 + ($0.20/mile)*x - ($0.60/mile)*x = 0

$60 + x*($0.20/mile) - ($0.60/mile)) = 0

$60 + x*(- ($0.40/mile)) = 0

x*(- ($0.40/mile)) = -$60

x = -$60/(-$0.40/mile)

x = 150 miles

Company A, 1 day, 150 miles = $120

Company B, 1 day, 150 miles = $120

At 150 miles, and just 1 day, both companies will charge a total of $120 for the rental.

Answer:

516,154 here you goooooooooooi

Answer:

c) 516154

Step-by-step explanation:

Q) 893 × 578 = ?

→ 893 × 578

→ 516154 is the answer.

Answer:

y=-[tex]\frac{5}{8}[/tex]x-5

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{-10-(-5)}{8-0}=\frac{-5}{8}[/tex]

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-[tex]\frac{5}{8}[/tex](8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-[tex]\frac{5}{8}[/tex]x-5

Answer:

$2.45

Step-by-step explanation:

First divide the cost by number of items. you shall get $0.49

Now multiply the cost of 1 candy bar into 5 and you shall get $2.45.

Two triangles are congruent if they meet they both meet the rules for congruency

The rules that makes the given triangles congruency are;

a) SSS

(b) SAS

(c) ASA

(d) Not congruent

(e) AAS

(f) HL

Reasons:

(a) Segment QS ≅ Segment QR; Same number of tic marks indicating congruency

Segment SP ≅ Segment PR; Same number of tic marks indicating congruency

Segment QP ≅ Segment QP; Reflexive property

Therefore;

(b) Segments AC, BC, on ΔABC ≅  Segments CD, CE, on ΔCDE Given

m∠DCE ≅ m∠ACB; Vertically opposite angles postulate

Therefore;

(c) Segment ST ≅ Segment TU; Given

m∠RST = m∠VUT = 90°; Given

∠VTU = ∠RTS; By vertical angle theorem

Therefore;

(d) Not congruent because given parameter Side Side Angle not a condition for congruency

Not congruent

(e) ∠GHJ ≅ ∠GFJ; Given

∠HJG ≅ ∠JGF; Given

Segment GJ ≅ Segment GJ; By reflexive property

Therefore;

(f) Hypotenuse AB ≅ Hypotenuse DE; Given

Leg AC ≅ Leg DF; Given

Therefore;

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Answer:

4

Step-by-step explanation:

4

Answer:

2-15-21

Step-by-step explanation:

that

3x° + 36° = 156°        (since alternate interior angles are equal)

        3x°  = 120 °

           x  = 40

I know this is a joke but agh at least I get some points ANSWER: 11

Answer:

-19x (x+11) = -19[tex]x^{2}[/tex] - 209

Answer:

Simplified to lowest possible would be [tex]\frac{x +2}{x^{2} + 2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]v - 5v - 5v + 9v \\ - 4v - 5v + 9v \\ - 9v + 9v \\ 0[/tex]

Answer:

129

Step-by-step explanation:

278 - 149 = 129

Answer:

the answer is 129

Step-by-step explanation:

278-149=129

Answer:

Emilio compra kg De manzanas a euros el kilo cuanto pagara por Las manzanas

Answer:

emilio compra de manzanas a euros el kilo cuanta pagara por las manzanas

Answer:

X=3

Step-by-step explanation:

First you subtract 3x from both sides to keep x on one side.

5x minus 3x is 2x.

Then you subtract 1 from both sides to keep the variable alone.

7 minus 1 is 6.

Then you divided both sides by 2.

2x divided by 2 is x and 6 divided by 2 is three.

Then all you have left is x=3

I HOPE IT WILL HELP YOU.

Thank you.

Answer:

additive identity property (a)

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Divide 1 by 0.1, which equals 10

10 becomes your denominator, and 1 is the numerator

Since 1/10 = 0.1*10 = 1

Answer:

It lets me add one now! The answer is 3.75

Step-by-step explanation:

1/4 of a unit is 25%

When converted to a decimal, 25% = .25

4 - .25 = 3.75

We can check this by using reversive property:

4 - .25 = 3.75

3.75 + .25 = 4