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3 years ago

Can someone please help me

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

Step-by-step explanation:

If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

$\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{x}{12}$

Let's use the second ratio:

$\dfrac{25}{15}=\dfrac{x}{12}$

Multiply both sides by 12:

$\dfrac{25\cdot 12}{15}=x \\\\x=20$

Hope this helps!

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a bookstore has 780,000 and sales revenue in 2005 $190,000 2011 assuming a constant annual rate of decrease what is the predicte

AysviL [449]

Answer5,90,000

Step-by-step explanation:

780,000 subtract 190,000 = 590,000

after every 6 years

i'm not sure if its correct. please let me know

7 0

3 years ago

I need help on 11-16

alisha [4.7K]

I cant see all of 11 and 14
12:
$3f = 18 \\ \frac{3f}{3} = \frac{18}{3} \\ f = 6$
13:
$3f = {3}^{2} \\ 3f = 9 \\ \frac{3f}{3} = \frac{9}{3} \\ f = 3$
15:
$3h = 9 + 10 \\ 3h = 19 \\ \frac{3h}{3} = \frac{19}{3} \\ h = 6.3$
16:
$3f = 27 - 21 \\ 3f = 6 \\ \frac{3f}{3} = \frac{6}{3} \\ f = 2$

6 0

4 years ago

Solving Linear Equat Solve the linear equation: 3.4 + 2(9.7 – 4.8x) = 61.2

JulijaS [17]

Answer:

Step-by-step explanation:

Simplifying

3.4 + 2(9.7 + -4.8x) = 61.2

3.4 + (9.7 * 2 + -4.8x * 2) = 61.2

3.4 + (19.4 + -9.6x) = 61.2

Combine like terms: 3.4 + 19.4 = 22.8

22.8 + -9.6x = 61.2

Solving

22.8 + -9.6x = 61.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22.8' to each side of the equation.

22.8 + -22.8 + -9.6x = 61.2 + -22.8

Combine like terms: 22.8 + -22.8 = 0.0

0.0 + -9.6x = 61.2 + -22.8

-9.6x = 61.2 + -22.8

Combine like terms: 61.2 + -22.8 = 38.4

-9.6x = 38.4

Divide each side by '-9.6'.

x = -4

Simplifying

x = -4

8 0

4 years ago

Read 2 more answers

Could someplease explain the whole problem? For the first part my the answer I got was x= .618, -.618, and <img src="https://tex

algol13

9514 1404 393

Answer:

a) x = (√5 -1)/2 ≈ 0.618034

b) 1/x = (√5 +1)/2 ≈ 1.618034

Step-by-step explanation:

Given:

x/(1 -x) = 1/x

Find:

Exactly, and as a decimal approximation, ...

a) x, using the quadratic formula

b) 1/x

Solution:

a) We can multiply the given equation by x(1 -x) to obtain ...

x² = 1 -x

x² +x -1 = 0 . . . . . . add x-1

The coefficients for use in the quadratic formula are a=1, b=1, c=-1. The solution using the quadratic formula is ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-1)}}{2\cdot1}=\dfrac{-1\pm\sqrt{5}}{2}$

We are only interested in the positive solution, which is ...

$\boxed{x=\dfrac{\sqrt{5}-1}{2}\approx0.618034}$

b) The quadratic we developed in the first part can be rearranged like this:

x² +x = 1 . . . . . . add 1 to both sides

x(x +1) = 1 . . . . . factor out x

x +1 = 1/x . . . . . .divide by x

Then to find the value of 1/x, we simply need to add 1 to the value of x we have:

$\dfrac{1}{x}=\dfrac{\sqrt{5}-1}{2}+1=\dfrac{\sqrt{5}-1}{2}+\dfrac{2}{2}=\dfrac{\sqrt{5}-1+2}{2}\\\\\boxed{\dfrac{1}{x}=\dfrac{\sqrt{5}+1}{2}\approx1.618034}$

5 0

3 years ago

Simplify (2x + 1) (3.1 – 6)using the Distributive Property or the Area Method.

Tju [1.3M]

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago