MATHEMATICS HIGH SCHOOL

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload

Answers

Answer 1

Answer:

Answer:

The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees

Step-by-step explanation:

We need to convert the vectors given to x,y coordinate form.

We use the formula below:

$x=ACos\theta$

$y=ASin\theta$

Where A is the magnitude and $\theta$ is the angle.

Vector A:

$x=ACos\theta\nx=(11.3)Cos(21)\nx=10.55$

and

$y=(11.3)Sin(21)\ny=4.05$

Vector B:

$x=(4.78)Cos(67)\nx=1.87$

and

$y=(4.78)Sin(67)\ny=4.40$

Now we can write the vectors as:

A = <10.55,4.05>

B = <1.87,4.40>

To add, A+B, we have:

A + B = <10.55+1.87, 4.05+4.40>

A + B = < 12.42, 8.45 >

To convert this into magnitude/degree format:

Magnitude = $√((12.42)^2 + (8.45)^2) =15.02$

Angle = $Tan^(-1)((8.45)/(12.42))=34.23$

-6

Step-by-step explanation:

The given translation is

$T_(-3,-8) (x,y)$

Which means that the original figure will be moved 3 units to the right and 8 units downwards.

Remember, when it comes to translations, when we subtract units to $x$ that means the figure will be moved rightwards. And if we subtract units from $y$ , that means the figure will be moved downwards.

So, the original figure has as vertex B(1,2). If we apply the transformation to its vertical cordinate $y=2$ , we would have

$y'=2-8=-6$

Therefore, the right answer is the third choice -6.

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and (–12, –9). He writes the equation 7x – 10y = 3. Is this a good model? Explain your reasoning.

Answers

For this case we have the following equation:
$7x - 10y = 3$
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:

For (8, 5):
We substitute the following values:
$x = 8 y = 5 7 (8) - 10 (5) = 3 56 - 50 = 3 6 = 3$
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.

Answer:
It is not a good model. One of the points does not belong to the line.

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the function represent growth or decay?

Answers

The function for the value of the car is $v(t)=28900(0.85)^t$ , where $t$ is the time in years. It is a decay function.

It is given that,

The initial value of the car is $28900
Decreasing rate is 15% per year.

Explanation:

The value of car after $t$ years is:

$v(t)=a(1-r)^t$

Where, $a$ is the initial value and $r$ is the decay rate.

The value of car is:

$v(t)=28900(1-0.15)^t$

$v(t)=28900(0.85)^t$

Thus, the required function is $v(t)=28900(0.85)^t$ and it is a decay function because growth factor 0.85 is less than 1.

Learn more:

brainly.com/question/11795335

Which term describes when governments do not interfere with trade between countries? 1) A. Trade balance 2) B. Exchange trade 3) C. Tariff trade 4) D. Free trade

Answers

Answer:

D. Free trade

Step-by-step explanation:

"Do not interfere" = Free of government intervention.

What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))?

Answers

$\text{Solve:}\n\n-(5-(a+1))=9-(5-(2a-3))\n\n-(5-a-1))=9-(5-2a+3))\n\n-(4-a)=9-(8-2a)\n\n-4+a=9-8+2a\n\n-4+a=1+2a\n\n\text{Subtract a from both sides}\n\n-4=1+a\n\n\text{Subtract 1 from both sides}\n\n\boxed{-5=a}$

Answer:

The answer is A: a=-5

Step-by-step explanation:

took the test

How can you use addition and subtract to put together and separate measures of an angle and its parts

Answers

How can you use addition and subtract to put together and separate measures of an angle and its parts

Adding and Subtracting angles can be put this way.
Complementary angles can be formed by two angles with total of 90 degrees.
Supplementary angles can be formed by two angles with total of 180 degrees.

X + Y = 90 degrees
Y = 90 - X
X = 90 - Y

X + Y = 180 degrees
Y = 180 - X
X = 180 - Y

Other Questions

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?A) −5x − 7 < −22 and −5x − 7 ≥ −3 B) −5x − 7 > −22 and −5x − 7 ≥ −3 C) −5x > −22 and −7 ≥ −3 D) −5x − 7 < −22 and −5x − 7 ≤ −3

Question number 4 please help

A company offered 200 cameras at a 15% discount during a 5-day saleThe bar graph shows the number of cameras sold at the end of each day.Day 1 - 30Day 2 - 40Day 3 - 50Day 4 - 25Day 5 - 40(a) Find the percentage increase in the number of cameras sold on Day 5 as compared to Day 4.

Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload

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