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MAXImum [283]
3 years ago
8

Find the angle 0 between the vectors. u=(1, 1, 1, 0), v = (4, 4, 4, 4).

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

30 degrees

Step-by-step explanation:

u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12

|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)

|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8

cos(theta)=u dot v/(|u||v|)

cos(theta)=12/(sqrt(3)*8)

cos(theta)=3/(sqrt(3)*2)

cos(theta)=sqrt(3)/2

theta=30 degrees

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24h + 3d - 10h + 8d simplified <br> A. 14h + 11d<br> B. 14h + 5h <br> C. 25hd
Tema [17]
The answer is A. 14h + 11d

because if you 3d and 8d it will give you 11d

the take 24h and subtract to 10h it will give you 14h

so when you write it you answer is 14h + 11d

Hope this helps! :)

~Shadow
6 0
3 years ago
Read 2 more answers
On a 20 sided dice what is the probability that a 11 was rolled?
Sedbober [7]

Given:

A 20 sided dice is rolled.

To find:

The probability of getting 11.

Solution:

A 20 sided dice is rolled.

On a 20 sided dice, the possible outputs are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

Total number of outcomes = 20

Favorable outcomes or number of 11 = 1

Now,

\text{Probability of getting 11}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}

\text{Probability of getting 11}=\dfrac{1}{20}

\text{Probability of getting 11}=0.05

Therefore, the probability of getting 11 is 0.05.

3 0
2 years ago
Combine like terms to create an equivalent expression<br> 3x²+5y²-x^2+2y^2-4
Alja [10]

Answer

3x²+5y²-x^2+2y^2-4

2x^2+7y^2-4

7 0
2 years ago
Need help dont know how to round <br><br>round this number to the nearest thousand? 0.7966347977​
tatyana61 [14]

Answer:

.797

Step-by-step explanation:

If your talking about a decimal number, you would say the <u>thousandth</u>. I know, weird, but don't blame me.

To round up, any number above 5 rounds up to the next value place, and any number below 5 rounds down to the last value place.

Ex:   1.3483838383

Since 8 is greater than 5, we could get rid of all the 83s and just round up to 1.35.

So the thousandths place in a decimal would be 0.79<u>6</u>66357977, so we just ask if the next number after the thousandths place is greater than 5. The place number after .796 is 6, so since it is greater than 5, we would round up to .797.

Our answer is .797.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
3 years ago
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