if 1,a,5 and 15 are in proportion ,find the value of a​

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer:

87.9°

Step-by-step explanation:

arctan(50/40)=87.9°

Step-by-step explanation:

eso es cierto y correcto por supuesto, es tan obvio

Answer:

A) 1x 9^6

B) 1 x (2/3)^4

C) 1 x 4.5^6

hope that helps!

add me as a friend if you can:)

Answer:

A.  [tex]9^{6}[/tex]

B. [tex](\frac{2}{3} )^{4}[/tex]

C. [tex]4.5^{6}[/tex]

Step-by-step explanation:

- the 1 in the front dosn't matter since 1 times "number" is going to be that number

A. There are six 9's multiplying by each eachother

B. There are four (2/3)'s multiplying by each eachother

C. There are six 4.5's multiplying by each eachother

Answer:

6

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(KL) * (KM) = KJ^2

(KM+ ML) * KM = KJ^2

(2+ ML) * 2 = 4^2

(2+ ML) * 2 =16

Divide each side by 2

(2+ ML)  = 8

Subtract 2 from each side

ML = 6

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

Answer:

1. 6.96500 kilogramos

2. 3.95 kilogramos

Answer:

A

Step-by-step explanation:

Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.

Answer:

statement 1 and 2 are true

Answer: same distance but different side

Step-by-step explanation:

Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

Answer:

The answer is D because when you plug in 0 for the x value, you get positive 2

Answer:

x = 50

Step-by-step explanation:

0.2x = 10

Divide each side by .2

0.2x/.2 = 10/.2

x =50

Answer:

Step-by-step explanation:

x=50

0.2 x 50 = 10

Answer:

Quadratic

Step-by-step explanation:

The format for a quadratic function is: y= ax^2+bx+c.

This matches your equation.

Answer:

12.3693169

Step-by-step explanation:

x^2+y^2=r^2

(12)^2=(3)^2=sqroot(153)

=12.3693169

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]

[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]

[tex]62.28=0.75x-0.069375x[/tex]

[tex]62.28=0.680625x[/tex]

[tex]x=\frac{62.28}{0.680625}[/tex]

[tex]x=91.50[/tex]

Hence, the original price was  $ 91.50.

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.

Answer:

I can't see it clearly, it's blurry, but the answer should be where the parabola touches the line. From what I can see, I can tell you that one solution is in the 3rd quadrant and the other solution is in the 4th quadrant.

Step-by-step explanation:

Hope this helps

Answer:

$281.88

Step-by-step explanation:

Solve for 50% of $522:

522 × 0.50

261

Solve for sales tax:

261 × 0.08

20.88

Solve for total:

261 + 20.88

281.88

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

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

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

Read more about leading coefficient at:

https://brainly.com/question/19624646

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Answer:

8p+102+4p+60 =90

12p+162-162 =90-162

12p. =-72

p =(-6)

CHT=8p+102

={8×(-6) }+102

=(-48)+102

=54