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Andrew [12]
3 years ago
6

Given vectors u = (-3, 2) and v = (2, 1), what is the measure of the angle between the vectors?21 points

Mathematics
2 answers:
Svetach [21]3 years ago
8 0

Answer: C. 119.7°

Step-by-step explanation:

edge2020

swat323 years ago
3 0

Answer:

C

Step-by-step explanation:

Edge 2021

You might be interested in
In triangle LMN, the measure of m_L =75°and m_M is one-half m_N. what is m_M?
Svetach [21]
Let m(<N) be x;
We have m(<M) = 1.5x;
We solve the equation: 75 + x + 1.5x = 180;
75 + 2.5x = 180;
2.5x = 105;
x = 105 ÷ 2.5;
x = 42;
Finally, m(<M) = 63 degrees;
4 0
3 years ago
$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the accoun
IRISSAK [1]

Answer:

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

The annual growth rate is of 0.72%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$650 is invested in an account earning 8.6% interest (APR), compounded monthly.

This means that P = 650, r = 0.086, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 650(1 + \frac{0.086}{12})^{12t}

A(t) = 650(1.0072)^{12t}

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is of 0.72%.

5 0
3 years ago
Find the measure of angle BCD in the following parallelogram. what's does BCD equal
DiKsa [7]

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

<BCD = 2x = 2 * 60 = 120

Thus, the answer is 120 degrees.

Hope this helps!

4 0
3 years ago
Which phrase best describes the translation from the group y=2x^2 to the graph of y= 2x^2 +5
dsp73

Answer:

The graph move up 5.

Step-by-step explanation:

When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)

7 0
2 years ago
5. If z=10 find the value of Z3-3(2-10)​
avanturin [10]

Answer:

54

Step-by-step explanation:

BEDMAS

z=10

(10)3-3(2-10)

=(10)3-3(-8)

=30-(-24) *2 negatives = a positive

=30+24

=54

3 0
2 years ago
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