A, B and C are points on the line 2x+y=8

DCE is a straight line.
AB:BC=2:1
EC:DC=1:2

Work out the ratio Area of triangle AEC : Area of triangle BCD

Give your answer in its simplest form.

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

I hope this helps and please mark me as brainliest!

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]

To find the value of x,

[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]

d = 8.6 ft

Answer:

complete your question please

Answer:

whatever number is repeating the most is the answer.

Answer:

Step-by-step explanation:

I'm assuming the 7 is the question number.

The cube root is -2. There is only 1 real root.

You could find it this way. ∛(-8) = ∛-2 * - 2 * - 2

The rule for cube roots when the number has 3 roots that are the same is to take one outside the ∛ sign and discard the other 2.

-2 ∛1 The cube root of one is one.

Answer:

Step-by-step explanation:

60 - 3y - 9

= 60 - 9 - 3y

= 51 - 3y.

Answer:

35 feet

Step-by-step explanation:

when the flare is fired , time t = 0

substitute t = 0 into the equation

f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35

Answer:

the correct answer would be 35  feet

Step-by-step explanation:

hope this helps

The explicit rule for the sequence in simplified form is y = 30000(2)^n

The standard exponential equation is expressed as:

y = ab^n

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Substitute the parameters

y = 30000(2)^n

Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n

Learn more on explicit rule here: https://brainly.com/question/2059043

Answer: Explicit Rule: a_n=30,000 • 2^n-1 Recursive Rule: a_n = 2a_n-1; a_1 =30,000

Step-by-step explanation: the Explicit Rule for a geometric sequence is a_n = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1

a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!

Answer:

x=15
y=2

Step-by-step explanation:

the scale factor is 6:1

if you divide 12 by 6 you get 2
so y=2

if you multiply 6 by 2.5 you get 15
so x=15

Answer:

I'm a little confused by this question:

Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.

What is an approximate value of g'(1.1)?

So I know L(x)=f(a)+f′(a)(x−a)

If I substitute items in, I get g′(x)+g′′(x)(x−x).

Since x−x=0 I always am going to end up with L(x)=g′(x)

I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?

I'm completely lost here because these are the followup question after the one above:

Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.

Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.

Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.

What did using the second derivative do to the approximation?

Do you believe the approximation is better or worse than our original?

Step-by-step explanation:

Answer:

12 inchis

Step-by-step explanation:

The area of the flower bed has a radius of 4 feet is 16π or 50.24 square feet.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circular flower bed in a botanical garden has a radius of 4 feet.

Then the area of the flower bed will be

Area = π r²

Area = π × 4²

Area = 16π

Area = 16 × 3.14

Area = 50.24 square feet.

More about the circle link is given below.

https://brainly.com/question/11833983

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

Step-by-step explanation:

radius = 10 cm

volume = v

height h cm

[tex] {10 }^{2} = h - 10 + r { }^{2} \\ {10 = }^{2} h - 20 + r { }^{2} \\ r {}^{2} = 20h - h {}^{2} [/tex]

hope it's helpful thanks

Answer:

1) 40 m; 2) 18 cm

Step-by-step explanation:

1) Length = 10 m

Breadth = 4 m

Perimeter of a rectangle

= length (l) × breadth (b)

= 10 × 4

= 40 m

2) Side 1 = 6 cm

Side 2 = 8 cm

Side 3 = 4 cm

Perimeter of a triangle

= Side 1 + Side 2 + Side 3

= 6 + 8 + 4

= 18 cm

_______

Hope it helps ⚜

Answer:

1. 28m

2. 18 cm

Step-by-step explanation:

Perimeter of rectangle = 2× (length + breadth )

=> 2 ( 10 + 4 )

=> 2 ( 14 )

=> 28 m

Perimeter of triangle = side a + side b + side c

=> 6cm + 8cm + 4cm

=> 18 cm

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

Answer:

4pi

Step-by-step explanation:

Divide through by two to get

x^2 + y^2 = 4       4 = radius squared     radius = 2

area = pi r^2 = 4 pi

Answer: 4π

Step-by-step explanation:

Under the assumption that those are exponents, and your equation is:

[tex]2x^2+2y^2=8[/tex]

You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:

[tex]x^2+y^2=4[/tex]

If you'd like, we can write this in the following way:

[tex](x-0)^2+(y-0)^2=2^2[/tex]

So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (2^2)=4\pi[/tex]

$37.52

I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

50 m

Step-by-step explanation:

We find the perimeter by adding all the sides of our figure.

The initial figure has perimeter :

P = 2 + 5 + 1 + 3 + 3 + 1 + 5

P = 20 m

The dilated figure with the scale factor of 2.5 has perimeter:

P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5

P = 20 * 2.5 = 50 m

Charlie is correct.

Answer:

B

Step-by-step explanation:

The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)

Answer B contains this information

Hope this helps!