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3 years ago

Find the value of x and y please

Mathematics

1 answer:

valentinak56 [21]3 years ago

8 0

Answer:

x = 20 and y = 14.14213562 ( you can simplify it)

Step-by-step explanation

x = the opposite side divided by sin 45 ( the angle)

$10\sqrt 2$ / sin(45)

y = the opposite side divided by the adjacent side

$10\sqrt2$ / tan(45)

14.14213562

14.14

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550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,

EastWind [94]

9514 1404 393

Answer:

adult: 325
children's: 225

Step-by-step explanation:

It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...

1.50a +1.00(550 -a) = 712.50

0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms

a = 325

c = 550 -325 = 225

325 adult and 225 children's tickets were sold.

4 0

3 years ago

Which property is demonstrated by following statement 16+(22+a)=16+(a+22)

beks73 [17]

commutative property

3 0

4 years ago

Find the 11th term of the following geometric sequence.<br><br> 1,5, 25, 125, ...

salantis [7]

Answer:

9,765,625

Step-by-step explanation:

7 0

3 years ago

15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

7 0

3 years ago

Multiply 4 and 7. Then, divide by q.

Makovka662 [10]

Answer:

28/q

Step-by-step explanation:

4 times 7 equals 28 and then divide 28 by q

5 0

3 years ago