In one game there are 85 spins.

LM is the diameter of OP. N L *not drawn to scale IfmXLMN = 48° what is mZNLM? A. 24° B. 42° C. 48° D. 66° E. 84

Sindrei [870]

Answer:

c

Step-by-step explanation:

3 0

3 years ago

Given that u =< 2,12 >, and z =< -7,5 >

swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩ ⇒ ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩ ⇒ ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0

2 years ago

Please help i have 2 questions thank you very much.

Rudik [331]

Hello!

Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards

15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333

Multiply these to find the volume

5 * 5 * 0.08333 = 2.08325

Multiply this by the cost

2.08325 * 46 = 95.83

The answer is C) $95.83
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Question 2

You have to find the volume of the first pyramid

The equation we use is $V = \frac{lwh}{3}$

V is volume
l is length
w is width
h is height

Put in the values we know

$V = \frac{16 * 16 * 28}{3}$

Multiply

$V = \frac{7168}{3}$

Divide

V = 2389.3333

Now we use this to find the side length of the second pyramid

$2389.333 = \frac{lw * 112}{3}$

Multiply both sides by 3

7167.999 = lw * 112

Divide both sides by 112

63.9999 = lw

Since it is a square pyramid we know that sides are equal

63.999 = l^2

Take the square root of both sides

8 = l

The answer is B) 8in

Hope this helps!

8 0

3 years ago

molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile

Tom [10]

It would take her 12 minutes because if you mutipy 2/3 by 3/2 then you get 1 (as in one mile) and then you have to do that to the other side too so then you multiply 8 by 2/3 and get 12

4 0

2 years ago

Read 2 more answers

If x = 10, y = 5, and z = 11, what is the sine ratio for g°?

salantis [7]

Answer:

$\frac{10}{11}$