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2 years ago

Thank for answer my question

Mathematics

1 answer:

Rasek [7]2 years ago

8 0

Answer:

67.5?

Step-by-step explanation:

the top two looked like the same degree so solve 2x+10=145 ig

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Find the angle θ between u = <7, –2> and v = <–1, 2>.

Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11

cosФ = -11 / sqrt(53) x sqrt(5)

cosФ = -11sqrt265) / 265

Ф =cos^-1(-11sqrt265) / 265)

Ф=132.51 degrees.

7 0

3 years ago

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frosja888 [35]

Answer:

Step-by-step explanation:

B, because -9.2 = -4.5, which is less than -4.12. Also, 17/4 = 4.25 is less than sqrt(20), which is 4.4721

6 0

2 years ago

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Nico had 3 1/2 yards of fabric. He used 2/3 yard to make a pillow cover and 1/3 yard to make a scarf. How much fabric does Nico

7nadin3 [17]

2 1/2 yards of fabric are left

3 0

3 years ago

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A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving

sergey [27]

Answer:

The continuous yearly interest is 22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

$A=Pe^{rt}$

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

$\therefore 110,000= 4,700e^{r\times 14}$

$\Rightarrow e^{14r}= \frac{110,000}{4,700}$

Taking ln both sides

$\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})$

$\Rightarrow {14r}= ln(\frac{1100}{47})$

$\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}$

$\Rightarrow r = 0.225$ (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0

2 years ago

Liam mixed 3 parts of lemon juice and 4 parts of water to make a drink. How many parts of lemon juice did Liam mix with each par

Maru [420]

3 parts lemon juice and 4 parts water
3 : 4 = 0.75
<span>He mixed 0.75 parts of lemon juice with each part of water.

Hope this helps :)</span>

6 0

2 years ago