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Crank
4 years ago
6

What is the value of x?

Mathematics
1 answer:
vitfil [10]4 years ago
3 0

Answer:

5 cm

Step-by-step explanation:

We know these are similar triangles, so we can use ratios of side lengths

x/40 = 4/32

Using cross products

32x = 4*40

32x = 160

Divide each side by 32

32x/32 = 160/32

x =5

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Find the next three terms in the sequence below.
fomenos

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

4 0
3 years ago
Read 2 more answers
you want to put $8000 in a simple interest account. it has 2% annual interest rate. how long less you have invest that money to
Lisa [10]

Answer:

3 years

Step-by-step explanation:

160 per year, 160*2=320, 160*3=480

5 0
3 years ago
PLEASE HELP ASAP, I WILL GIVE 40 POINTS IF THE RIGHT ANSWER, AND BRAINLEST, ASAP
Sati [7]

Answer:

8 types of sandwiches.

Step-by-step explanation:

she has choices of :

1 turkey sandwich

1 roast beef sandwich

1 ham sandwich

1 white sandwich

1 white bread sandwich

1 American sandwich

1 swiss sandwich

1 colby cheese sandwich.

6 0
1 year ago
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There are 1,000 fish in a lake. Each year the population declines by 15%, but afterward, the lake is restocked with 500 addition
Makovka662 [10]
We begin with 1,000 fish in a lake.
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3 years ago
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Problem
Aleksandr-060686 [28]

Answer:

-\dfrac{463}{7}

Explanation:

Given equation: 2x² - 6x - 7 = 0

In quadratic equation: ax² + bx + c

Sum \ of \ roots : \alpha  + \beta  = \dfrac{-b}{a}

product \ of \ roots : \alpha \beta  = \dfrac{c}{a}

So, here given:

Sum : \alpha  + \beta  = \dfrac{-(-6)}{2}  = 3

Product : \alpha \beta  = \dfrac{-7}{2}  = - 3.5

For finding value:

\dfrac{\alpha^3}{\beta }  + \dfrac{\beta^3 }{\alpha }

join fractions

\dfrac{\alpha^4+ \beta^4}{\alpha \beta }

factor out

\dfrac{(\alpha^2 + \beta ^2)^2 -2\alpha ^2 \beta  ^2  }{\alpha \beta }

when factored more

\dfrac{((\alpha + \beta)^2 -2\alpha \beta )^2 -2(\alpha \beta)^2 }{\alpha \beta }

insert values inside

\dfrac{((3)^2 -2(-3.5) )^2 -2(-3.5)^2 }{-3.5 }

calculate for value

-\dfrac{463}{7}

4 0
2 years ago
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