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polet [3.4K]
3 years ago
14

I need help on these questions please?

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Answer:

a)

x/25 = 7/2 --> x = 25 * 7/2 = 87.5 miles

b)

x = 45/75 = 0.6 = 60%

c)

x = 1/(1/24 + 1/30) = 13 1/3 minutes

d)

x/2 + x/6 = 12 --> x = 18

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-a(n)=-5+6(n-1) find the 12th term
mamaluj [8]

Answer:

  61

Step-by-step explanation:

Put 12 where n is, then do the arithmetic.

  a(12) = -5 +6(12-1) = 61

_____

We assume you didn't really mean to show an equation for -a(n). If you did, then the term you want is -61.

8 0
3 years ago
Jen and Maria have dance class at 3:45 . Write the time two different ways. Is it am or pm ? Explain
jonny [76]
Dance class is at 3:45pm, because the dance studio would not be open that early.
6 0
3 years ago
Read 2 more answers
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

sin(\frac{x}{2} + 2x) = cos(2x +\frac{3x}{2})

Or, cos(90° - (\frac{x}{2}+2x)) =  cos(2x +\frac{3x}{2})

SO, (90° - (\frac{x}{2}+2x)) = 2x+\frac{3x}{2}

Or, 90° =  2x+\frac{3x}{2} + \frac{x}{2}+2x

or, 90° = \frac{4x}{2} + 4x

Or,  90° =  \frac{12x}{2}

So, x =  \frac{90}{6} = 15°

∴ sin(\frac{x}{2} + 2x) = sin(\frac{15}{2} + 30)

So, sin(\frac{x}{2} + 2x) = sin\frac{75}{2}

∴  The value of Ф_1 = \frac{75}{2} = 37.5°

Similarly  cos(2x +\frac{3x}{2}) =  cos(30 +\frac{45}{2})

So ,The value of Ф_2 = \frac{105}{2} = 52.5°

∵ β   α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5°  Answer

7 0
3 years ago
The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri
son4ous [18]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Elmer has a collection of 300 fossils. Of those, 21% are fossilized snail shells. How many fossilized snail shells does Elmer ha
kakasveta [241]
Use the percent proportion

 21          x
——  = —— 
100        300

to solve :
21 x 300 = 6300
6300 ÷ 100 = 63

Answer = 63 of Elmer’s shells are fossilized snail shells :)
4 0
3 years ago
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