A board 30 metres long is to be divided into 2pieces so that the larger piece is 3 metres longer than twice the shorter piece. How long will the pieces be?

Step-by-step explanation:

median:3

25th Percentile: 2.5

50th Percentile: 3

75th Percentile: 4

Interquartile Range: 1.5

Answer:

7

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

for X its 90 degrees

Step-by-step explanation:

If its a right angle it is 90 degrees

Answer:

x=16

y=27.7

Step-by-step explanation:

In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

x is the side opposite the 30 degree

so x=32/2=16

let's use pythagorean theorem to find y

x^2+y^2=32^2

y^2=32^2-x^2

y^2=1024-16^2

y^2=1024-256

y^2=768

y=√768

y=27.7

Answer:

6 3/4

Step-by-step explanation:

its on the 3 tic out of 4 .

Answer:

1/2 or 50%

Step-by-step explanation:

There is 2 sides of a coin, heads and tails, therefore, they have equal probability.

Answer:

3y-(-12) = 5(x-(-6)

3y+12= 5(x+6)

3y +12 = 5x + 30

3y = 5x +30 - 12

3y = 5x + 18

y = 5x + 6

Answer:

x = 4

Step-by-step explanation:

x^2 - 8x = -16

Add 16 to both sides.

x^2  8x + 16 = 0

This may be the square of a binomial.

x^2 is the square of x

16 is the square of 4 and -4.

Let's check the middle term:

2ab = 2(x)(-4) = -8x

Yes, it is the square of a binomial.

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x - 4 = 0 or x - 4 = 0

x = 4 or x = 4

Answer: x = 4

Answer:

61 ft

Step-by-step explanation:

I'm assuming that the diver simply walked off the cliff since we were not given any information about the jump itself.

If the distance between the cliff and the surface of the water is 48.5 feet, and if the distance between the surface of the water and the place where the diver stopped descending is 12.5 feet, you would add those two distances up.

48.5 ft + 12.5 ft = 61 ft

The total distance of her jump from her was 61 feet.

Given that a diver jumps from a cliff that is 48.5 feet above the surface of the water, and she stops descending 12.5 feet under the water, to determine what was the total distance of her jump, the following calculation must be performed:

The height of the cliff and the depth at which it reached under the water must be added.

Therefore, the total distance of her jump from her was 61 feet.

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Answer: -11 + (-13)

Step-by-step explanation: This shows that the stock has decreased by 24.

Answer:

no rest for meeeee U_U

Step-by-step explanation:

the nearest hundred would be 37, 400

Answer:

26 years.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

-2 3/4

Step-by-step explanation:

the sign is negative

Answer:

The interior angles of any triangle equal 180. Triangle CDF is an equilateral triangle meaning all of its angles are the same. 180/3=60

Each angle of triangle CDF is 60

1.m<CDF=60

____________________________________________________________

Isosceles triangles have the 2 base angles the same value while the other angle is another value. IN that instance, the m<a = m<f and the m<a + m<f +  m<b=180°

If we find one of the angles of ABF then we can find all of them.

the m<AFB + 35° + m<CFD + m<DFE=180°

we know that the m<CFD is 60

35+60+m<AFB + m<DFE=180

95+m<AFB + m<DFE=180

LEts look at the angle AFD

AFD is 150° and since m<AFD and the m<DFE are supplementary, the angle of DFE is 30

lets test it:

if m<DFE is 30 then

95+m<AFB + 30=180

125+m<AFB=180

m<AFB=55

therefore the m<BAF would also be 55 and the m<ABF would be 70

m<ABF=70

This is because the interior angles of any triangle add up to 180°

I hope this helps and please let me know if i was incorrect

Step-by-step explanation:

Answer:

f(x) = (x+10)^2 - 4

Step-by-step explanation:

vertex form is y = a(x-h)^2+k

to complete the square, we want to add a number on both sides so x^2+20x+whatver the number is, is the square of something

to find that number take 20, divide by 2, and then square it to get 100.

so, you would get f(x)+100 = x^2+20x+100+96

subtract 96 on both sides: x^2+20x+100 = f(x) + 4

factor: f(x) = (x+10)^2 - 4

Answer:

srry need points

Step-by-step explanation:

r u sure thats college work

Answer:

True

Step-by-step explanation:

You would distribute the 3 across to each term( being x and -5) by multiplying 3 by x and 3 by -5 which would get you 3x-15

Answer:

true

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

Your Welcome

Answer:

-3x + 40

Step-by-step explanation:

The constant given is 40 gallons and the rate at which the water in the bathtub decreases is 3 gallons per minute.

To write this as an equation we model 40 as the starting constant that is positive and, because the water is decreasing, we use a negative slope.

-3x represents the decrease in water over x intervals (Which in this case is minutes) and 40 gallons represent the initial value (water in the bathtub).

Therefore the water in the bathtub can be modeled with the equation

-3x + 40

Answer:

k = 4

Step-by-step explanation:

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement.

So WX = XY or WX = 1/2 WY

using WX = 7k + 5 and WY = 66

7k + 5 = 66/2

7k = 33 - 5

7k = 28

k = 4

Answer:

Step-by-step explanation:

The slope of the line that goes through points (−3,−4) and (−7,16) is (-5)

What is slope?

If a line passes through [tex](x_1,y_1) \: and \: (x_2,y_2)[/tex] then slope of line will be [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Know more about line:

A line has length but not width. A line is a type of geometric shape that can move in either direction. A line consists of an infinite number of points. It is infinite and has no end on either side. The row is one-dimensional.

In geometry, the term line or straight line was introduced by ancient mathematicians to denote straight objects of negligible width and depth. It is often described as two points.

A line in a plane is often defined as a set of points whose coordinates correspond to a given linear equation in the sense of analytic geometry, while a line can be an independent object distinct from the points on it. drop geometry.

Here given two points are (−3,−4) and (−7,16).

According to rule,slope of the line that goes through points (−3,−4) and (−7,16)

[tex] = \frac{16 - ( - 4)}{ - 7 - ( - 3)} \\ = \frac{16 + 4}{ - 7 + 3} \\ = \frac{20}{ - 4} \\ = - 5[/tex]

Therefore, required slope of the equation is (-5).

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Answer:

x = 3.6

Step-by-step explanation:

8 + x = 3.5x - 1

x - 3.5x = -1 - 8

-2.5x = -9

x = 3.6

Answer:

x = 3.6

Step-by-step explanation:

8 + x = 3.5x - 1

subtract 8 from both sides

x = 3.5x - 9

subtract 3.5x from both sides

-2.5x = -9

divide by -2.5 from both sides

x = 3.6

Answer:

I can't see that

Step-by-step explanation:

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Anna want to pick 40 pounds of apples,

Now, At David's apple orchard cost of first 10 pounds = $2 per pound

And, Each additional pounds $1 per pound.

So, Cost of 40 pounds of apples at David's apple is calculated as;

Cost of first 10 pounds = 10 * 2 = $20

And, Cost of 30 pounds of additional apples = 30 * 1 = $30

Hence, Cost of 40 pounds of apples at David's apple = $20 + $30

                                                                                  = $50

At Pam's orchards first cost of first 10 pounds = $1.50

And, Each additional pounds $0.75 per pound.

So, Cost of 40 pounds of apples at Pam's orchards is calculated as;

Cost of first 10 pounds = 10 * 1.50 = $15

And, Cost of 30 pounds of additional apples = 30 * 0.75 = $22.5

Hence,  Cost of 40 pounds of apples at Pam's orchards = $15 + $22.5

                                                                                      = $37.5

Therefore,

Cost of 40 pounds of apples at David's apple is $50.

Cost of 40 pounds of apples at Pam's orchards is $37.5.

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Answer:

60%

Step-by-step explanation:

15/25 = x/100

0.60 = x/100

0.60 * 100 = x

60 = x

25 * 60% = 15

Answer:

380 pages

Step-by-step explanation:

because if 30% equals 300 means 38% equals 380

Answer:

118

Step-by-step explanation:

you can look at the 62° it is straight line to (2y).

And the left angle of 62°, let it be 'x' . Can be measured by [ x + 62° = 180°]

[x = 180° - 62° ]

( x = 118° )

Then, A is the alternate angle of x . so, the value of A is 118.. The reason is being alternate angle.