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2 years ago

A water faucet is turned 1/7 to the right and then 3/4 to the right again. How far is the water faucet turned?

Mathematics

1 answer:

Vanyuwa [196]2 years ago

8 0

Answer:

A water faucet is turned 1/7 to the right and then 3/4 to the right again.

=> In total, that water faucet turned 1/7 + 3/4 = 4/28 + 21/28 = 25/28 to the right.

Hope this helps!

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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.

Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

$A=\frac{bh_b}{2}$

$h_b=\sqrt{a^2-\frac{b^2}{4} }$

There are 2 solutions for $b$

$b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }$ ≈ $10cm$ $b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm$

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

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1 year ago

Find the probability that a point chosen at random in the figure will be shaded region. Write your answer as a percentage roundi

Marrrta [24]

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2 years ago

Ron works 5 hours for a total of $300. He deposits all of his money in his account. He is trying to save a $500 for a new LED TV

9966 [12]

Ron must work 9 hours. If he makes 300 every 5 hours, that means he makes 60 every hour. 60x9 = 540

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3 years ago

The largest prime factor of thirty-five is _____. 7 5 9 11

vichka [17]

Answer:

Step-by-step explanation:

Since 9 and 11 do not factor 35, they are not the answer.

5 is a factor of 35, but not the largest. So, the answer is 7.

7 0

2 years ago

Read 2 more answers

Segu

Lynna [10]

Answer:

The formula is 10 - 3n

Step-by-step explanation:

For an nth term in an arithmetic sequence

U( n ) = a + ( n - 1)d

Where n is the number of terms

a is the first term

d is the common difference

From the sequence above

a = 7

d = 4 - 7 = - 3

The formula for an nth term is

U(n) = 7 + (n - 1)-3

= 7 - 3n + 3

The final answer is

= 10 - 3n

Hope this helps you.

3 0

2 years ago