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lozanna [386]
3 years ago
14

Please help me find the answer !

Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

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Of 480 students in a high school, 180 were in ninth year. What percent of the students in the school were in the ninth year
sashaice [31]

180/480 =0.375

0.375 = 37.5%

so 37.5% of kids are in 9th grade

7 0
3 years ago
Someone tell me the answer of an expression equivalent to 4-2(x+5). Please and Thank you.
igomit [66]

Answer:

-2x - 6

Step-by-step explanation:

Multiplication must be done before addition or subtraction.  Thus, we leave '4' as is and multiply out -2(x + 5), obtaining:

4 - 2x - 10, or -2x - 6

5 0
3 years ago
Barney is eight years older than Nemo. In seven years the sum of their ages will be 46. How old is Barney now?.
olga55 [171]
Let's represent Nemo's age with an n.

Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8

In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.

n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12

That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.

To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
6 0
4 years ago
A net force of 24 N is acting on a 4.0-kg object. Find the acceleration in m/s 6m/s^2
givi [52]

Step-by-step explanation:

mass of the object=m=4 kg

the net force exerted on it=F=24N=kgm/s²

the acceleration of the object=a=?

formula for calculating the acceleration=

F=ma

plug in the values

24kgm/s²=4kga

divide each side by 4

24kgm/s²/4 kg=4kga/4kg

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8 0
3 years ago
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Answer: y = x-2

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x = 7/4

y = x-2

y = 7/4 - 2

y = 7-8/4

y = -1/4

3 0
3 years ago
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