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Zinaida [17]
2 years ago
15

A windowpane is 12 inches by 5 inches. What is the distance between opposite corners

Mathematics
1 answer:
Finger [1]2 years ago
7 0
12^2+5^2=144+25=169
x=13
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What is the answer to -6n^2 - 5n - 7 = -8
soldi70 [24.7K]

Answer:

n = \frac{1}{3} , n = \frac{1}{2}

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = \frac{1}{2}

7 0
3 years ago
Round to the given place value hundreds and tens 547 , 609 and 990
myrzilka [38]
The first number will be 500
the second number will be 600
and the last number will be 990

8 0
4 years ago
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A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a ki
leva [86]
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
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Since we are given with the radius of 70 feet, the volume is
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3 0
4 years ago
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antiseptic1488 [7]

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

6 0
3 years ago
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Three teams, A, B and C, play in a competition.
VladimirAG [237]

Answer:

A = 24

B = 8

C = 6

Step-by-step explanation:

4:3 from B:C

8:6

8 games won by B and 6 games won by C.

3:1 from A:B

24:8

24 by A and 8 by B

8 0
3 years ago
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