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xeze [42]
3 years ago
11

P and a are both prime numbers. Find the values of p and q so that 6*54*p/q is a perfect cube.

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

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One angle of a triangle measures <img src="https://tex.z-dn.net/?f=10degrees" id="TexFormula1" title="10degrees" alt="10degrees"
iVinArrow [24]

Answer:

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

Step-by-step explanation:

Let

x ----> the measure of one angle of the triangle

y ---> the measure of the second angle

z ----> the measure of the third angle

we know that

The sum of the measure of the interior angles in any triangle must be equal to 180 degrees

x+y+z=180^o -----> equation A

One angle of a triangle measures  10 degrees more than the second

x=y+10 ----> equation B

The measure of the third angle is twice the sum of the first two angles

z=2(x+y) ---> equation C

substitute equation B in equation C

z=2(y+10+y)

z=4y+20 ----> equation D

substitute equation D and equation B in equation A

(y+10)+y+(4y+20)=180^o

solve for y

6y=180-30\\6y=150\\y=25^o

Find the value of x

x=25+10=35^o

Find the value of z

z=4(25)+20=120^o

therefore

One\ angle: 35^o\\Second\ angle: 25^o\\Third\ angle: 120^o

5 0
3 years ago
A pair of shoes that costs $40 was marked up by 25%
Anna35 [415]
50 dollars is the final price
7 0
3 years ago
Read 2 more answers
Jimmy's costume requires ⅞ + ½ + 1 3/4 yards of fabric. His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric tha
liq [111]

Answer:

The correct answer is fabric Jimmy's sister needs = \frac{73}{8} × fabric Jimmy needs = \frac{73}{8} × \frac{25}{8} yards of fabric.

Step-by-step explanation:

Jimmy's costume requires ⅞ + ½ + 1 \frac{3}{4} yards of fabric = \frac{7}{8} +\frac{4}{8} + \frac{14}{8} = \frac{25}{8} yards.

His sister's costume requires 3 x (⅞ + ½ + 1 ⅔) the amount of fabric that Jimmy needs = 3× (\frac{21}{24} + \frac{12}{24} + \frac{40}{24} ) yards of what Jimmy needs = \frac{73}{8} yards of what Jimmy needs.

The relationship between how much fabric Jimmy needs and how much fabric his sister needs is given by

Fabric Jimmy's sister needs = \frac{73}{8} × fabric Jimmy needs = \frac{73}{8} × \frac{25}{8} yards of fabric.

7 0
3 years ago
Whats the greatest ten you can multiply by 19 to get close to but not go over 684
USPshnik [31]

Answer:

The desired expression is  19 x (3 tens) = 19  x 30 = 570

So, the greatest ten   = 3 (tens)

Step-by-step explanation:

Let us check each tens.

19 x (1 ten)   = 19 x 10  = 190

19 x (2 tens) = 19 x 20  = 380

19 x (3 tens) = 19  x 30 = 570

19 x (4 tens)  = 19 x 40  =  760

But, here 760 is OVER the given term 684.

and 570 is the nearest value to the value 684.

So, the desired expression is  19 x (3 tens) = 19  x 30 = 570

4 0
3 years ago
If the lengths of the legs of a right triangle are 3 and 10−−√, what is the length of the hypotenuse?
Ganezh [65]

The required length of the hypotenuse of the triangle is √19.

<h3>What is a right triangle?</h3>
  • A right triangle, sometimes known as a right-angled triangle, or more formally an orthogonal triangle, formerly known as a rectangle triangle, is a triangle with one right angle or two perpendicular sides.

To find the required length of the hypotenuse of the triangle:

Legs in the right triangle refer to the perpendicular and base.

Hypotenuse:

= \sqrt{perpendicular^{2}+base^{2}  } \\= \sqrt{3^{2}+\sqrt{10^{2} }  } \\=\sqrt{19}

Therefore, the required length of the hypotenuse of the triangle is √19.

Know more about right triangles here:

brainly.com/question/2437195

#SPJ4

3 0
1 year ago
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