An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.

A: x+y=100
y=3x

B: x^2 + y^2 = 100^2
y= 3x

C: x+y=100
x=3y

D: x^2 + y^2 = 100^2
x=3y

that all i know hope it helped to your modules

Answer:

A 6 km per hour

B 10 min.

Step-by-step explanation:

I just need to fill the 20 character limit

The distance between K and M = 35 (from the question)

[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).

Collecting like terms:

[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).

Dividing by the variable's coefficient:

[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).

Step-by-step explanation:

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2

If the dog could fly, it would need to fly 147 meters to catch the helicopter

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = [tex]\sqrt{21625}[/tex]

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here https://brainly.com/question/15138986

Answer:(5x+8)/[(x+4)(x-1)(x+3)]

Step-by-step explanation:

1. First factorize the quad expressions in the denomeneter of both fractions.

2. Then choose you arithmetic common denomeneter .

3. And the rest is child's play.

- BRAINLIEST answerer

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

Answer: 20:12 for the first one

Step-by-step explanation:

5:3, 20:12,

Step-by-step explanation:

I I think you have your answer now

Answer:   [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

===================================================

Work Shown:

[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

Answer:

24 is 40% of 60

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Answer: buddy if you put it in English i can do it I’m a teacher

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Interest is earn at a rate of 4.46%/ year, while this is after 3 years

=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46

How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46

Aight, I'm heading to bed now. It's 0:10 here

Anneyonghaseyo!!

Radius = 10.5 m

Diameter = 10.5 × 2 = 21 m

Circumference = πd

= 22/7 × 21

= 66 m.

Cost of fencing 1 metre = ₹ 4

Cost of fencing 2 rounds = ?

2 rounds = 2 × circumference

= 2 × 66

= 132 m

Cost of fencing 2 rounds = 132 × 4

= ₹ 528.

________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

Answer:

47.5 minutes

Step-by-step explanation:

40 min = 80

x min = 95

40/80 = x/95

3800 = 80x

x = 47.5

-Chetan K

Answer:

7 x 10^-7

Step-by-step explanation:

Answer:

18/42

Step-by-step explanation:

Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42

Hope you understand

Answer:

8%

Step-by-step explanation:

1 dollar is 100 cents. 1 nickel and 3 pennies is 5+3 = 8 cents. 8 cents would be 8/100 = 8% of 100.

1 nickel and 3 pennies is  5.000000681 percent of a dollar.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know 1 nickels which is equal to 5 cents = 0.05 dollars.

1 penny = 0.00000000227 dollars

∴ 3 pennies is = 0.00000000681.

∴ 1 nickel and 3 pennies = 0.05000000681.

∴ 1 nickel and 3 pennies is (0.05000000681/1)×100% of a dollar.

= 5.000000681% of a dollar.

learn more about percentages here :

https://brainly.com/question/24159063

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Answer:

6z-30 :D

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

Answer:

Step-by-step explanation:

Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10

= 6z - 30...ans

One apple cost $1.8 while the money that Philip has is $24.90

Let x represent the cost of each apple and y represent the money he has presently.

He can buy 15 apples if he had $2.10 more money than he has now, hence:

15x = y + 2.1

15x - y = 2.1     (1)

Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:

12x + 3.3 = y

12x - y = -3.3   (2)

Solving equations 1 and 2 gives:

x = 1.8, y = 24.9

Hence one apple cost $1.8 while the money that Philip has is $24.90

Find out more at: https://brainly.com/question/16763389

Answer:

(x+2)(x+1)(4x+1)(4x-3)

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))

= (x+2)(4x-3)(x+1)(4x+1)

Answer:

Step-by-step explanation:

it goes straight across 4 ( up and down)

Answer:

Step-by-step explanation:

Start with the standard form of an equation for a straight line:

y=mx+b,

where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope (4), so we have:

y = 4x + b

We can calculate b from the given point, (0,4).  Just enter the values for x and y and solve for b.  But in this case the given point already tells us the value of b since at x = 0, y = 4.  So we can enter it directly.

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For reference, if we went ahead and solved for b, this is what we'd get:

y = 4x + b

4 = 4*(0) + b

b = 4

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So the final equation of this line is y = 4x + 4

The graph is attached.