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KIM [24]
2 years ago
8

I will give lots of points please help me

Mathematics
2 answers:
k0ka [10]2 years ago
5 0

Answer:

Part A: 6

Part B: 6√3

Step-by-step explanation:

Part A:

Since one angle measures 30°, and another angle is a right angle measuring 90°, the third angle measures 60°.

In a 30-60-90 the short leg is half of the hypotenuse.

YX = 12/2 = 6

Part B:

Method 1:

In a 30-60-90 triangle, the length of the long leg is √3 times the length of the short leg.

YZ = 6√3

Method 2:

Use the Pythagorean theorem.

a² + b² = c²

6² + (YZ)² = 12²

(YZ)² = 108

YZ = √(108)

YZ = √(36 × 3)

YZ = 6√3

strojnjashka [21]2 years ago
4 0
  • sin30=XY/XZ
  • 1/2=XY/12
  • XY=6

#B

  • Cos30=YZ/XZ
  • √3/2=YZ/12
  • YZ=6√3

Another way is using Pythagorean theorem

  • YZ²=XZ²-XY²
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Please help me with this plz
NeX [460]

Answer:

A yes

B  yes

C  No

D  No

Step-by-step explanation:

If it is a function then the first number in the ordered pair is use only one time.

5 0
2 years ago
Answer this number pattern: Last one. Really need this to be answered!<br> 1,8,27,64_,_,_
Lunna [17]
The numbers to complete the pattern are 125, 216, 343. The complete pattern is 1, 8, 27, 64, 125, 216, 343. Hope this helps.
5 0
3 years ago
x - 2y = 3 5x + 3y = 2 The lines whose equations are shown intersect at which point? (1, -1) (-1, 1) (0, 3/2)
gtnhenbr [62]
I would solve the first equation for x and then sub that value into x in the second equation.  That's the easiest way.  x - 2y = 3 solved for x is x = 2y+3.  Now sub that in for x in the second equation: 5(2y+3)+3y=2 and 10y + 15 + 3y = 2.  13y = -13, and y = -1.  Now sub that y value into either equation to solve for x: x = 2(-1) + 3 gives us an x value of x = 1.  Therefore, your solution to this system is (1, -1), first choice above.
4 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
2 years ago
Last year, a professional basketball team
jarptica [38.1K]

Answer:

15%

Step-by-step explanation:

Take 9 and divide that by 60.

8 0
2 years ago
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