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The sum of magnitude of two vectors is 2√5.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

the magnitude of two vectors are 4 and 2.

and, The direction of two vectors are 45° and 135°.

According to vector addition,

The angle between both the vectors = 135 - 45 = 90

and, Sum of Vector

= √4² + 2²

= √16 + 4

= √20

Thus, the sum of magnitude of two vectors is 2√5.

Learn more about Vector here:

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Answer:

[tex]\displaystyle 23[/tex]

Step-by-step explanation:

[tex]\displaystyle 4p = p + 69 → -69 = -3p; 23 = p[/tex]

I am joyous to assist you at any time.

Answer:

24356475869708-9

Step-by-step explanation:

i-3= 47

Answer:

Expand on the name.......

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4

Answer: x > - 18

Step-by-step explanation:

Answer:

2x+5y=103

Step-by-step explanation:

x=price per box of grapefruit

y=price per box of oranges

Answer:

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Three one pound bags:

3 one pound mags, which have mean 1.18 and standard deviation of 0.07. The mean is 1.18 multiplied by 3, and the standard deviation will be 0.07 multiplied by the square root of 3. So

[tex]\mu_{1} = 3*1.18 = 3.54[/tex]

[tex]\sigma_{1} = 0.07\sqrt{3} = 0.1212[/tex]

Three pound bags:

Mean 3.22, standard deviation 0.09. So

[tex]\mu_{2} = 3.22, \sigma_{2} = 0.09[/tex]

What is the probability that the sum of three one-pound bags exceeds the weight of one three-pound bag?

Here, we work with the subtraction of the normal variables. The mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_{1} - \mu_{2} = 3.54 - 3.22 = 0.32[/tex]

[tex]\sigma = \sqrt{\sigma_{1}^2 + \sigma_{2}^2} = \sqrt{0.1212^2+0.09^2} = 0.151[/tex]

This is the probability of the subtraction being positive, that is, 1 subtracted by the pvalue of Z when X = 0. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - 0.32}{0.151}[/tex]

[tex]Z = -2.12[/tex]

[tex]Z = -2.12[/tex] has a pvalue of 0.0170

1 - 0.0170 = 0.9830

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

Answer:

b

Step-by-step explanation:

n+6

Step-by-step explanation:

it is because you're increasing the servings

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

Answer: 96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:

ans will option 130 degree

The value of x in the given figure is 130 degrees.

The first step is to determine the value of all of the angles in the quadrilateral.

Angle x = 180 - 50 = 130

To learn more about quadrilaterals, please check: https://brainly.com/question/16595449

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

Answer:

8

Step-by-step explanation:

72/9 = 8

like wise

8 times 9 is 72

Answer:

Baking c cookies and dividing them evenly among 4 friends.

Brainiest???

Hope this helps

Answer:

yes 1:2

Step-by-step explanation:

Set up the ratio

Cylinder(1) = 6.4:3.2

Cylinder(2) = 4:2

Is 6.4/3.2 = 4/2?

12.8 = 12.8!

So yes.

Answer:

The equivalent equation would be 6-2+4x, which could be simplified down to 4+4x

Sophia´s expression is wrong because she did not distribute correctly.

Ursula´s expression is incorrect because she tried adding -4x with 2. This is incorrect because the 2 does not a variable or 2 does not have an x beside it, so you can not add them both together to try to get to the answer.

Step-by-step explanation:

6⁻(2-4x) Given

6(-2+4x) Distributive Property, this is when you multiply everything in the parenthesis that is outside which would be -1 multiplied by -2 and -1 multiplied by -4x.

Step-by-step explanation:

2.5 + 0.15p = 0.4p

0.25p = 2.5 (subtract 0.15p on both sides)

p = 10 (multiply 4 on both sides)

Answer:

[tex]2.5 + 0.15p = 0.4p \\ 2.5 = 0.25p \\ p = \frac{2.5}{0.25} \\ \boxed{p = 10}[/tex]

10 is the right answer.

15

9 - (-6)

I hope you get a good night rest btw!

Answer:

The temperature rose by 15 °C.

Step-by-step explanation:

At midnight:

Temperature = -6 °C

At Midday:

Temperature = 9 °C

Temperature Rise:

= -6 - 9

= -15 (Ignore the negative sign)

So, The temperature rose by 15 °C.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Step-by-step explanation:

Given functions are:

[tex]s(x)= x+6\\t(x)= 4x^2[/tex]

We have to find:

(s.t)(x) => this means we have to multiply the two functions to get the result.

So,

[tex](s.t)(x) = s(x)*t(x)\\= (x+6)(4x^2)\\=4x^2.x+4x^2.6\\=4x^3+24x^2[/tex]

Also we have to find

(s-t)(x) => we have to subtract function t from function s

[tex](s-t)(x) = s(x) - t(x)\\= (x+6) - (4x^2)\\=x+6-4x^2[/tex]

Also we have to find,

(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x

[tex](s+t)(x) = s(x)+t(x)\\= x+6+4x^2[/tex]

Putting x = -3

[tex]= -3+6+4(-3)^2\\=-3+6+4(9)\\=3+36\\=39[/tex]

Hence,

[tex](s.t)(x) = 4x^2+24x^2\\(s-t)(x) = x+6-4x^2\\(s+t)(-3) = 39[/tex]

Answer:

2: a2-x2

4: b2-2bx+x2

6: -2bx

Step-by-step explanation:

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The following procedure will be

1.  a²=h²+x²

2.  h²= a²-x²

3.  c² = h² + (x-b)²

4.  c² = h² + x² + b² -2xb

5.  c² = a²-x² + x² + b² -2xb

6.  c² = a² +b² -2xb

7.  x = a CosC

8.  c² = a² +b² -2ab CosC

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

8 students in a van and 22 in a bus

Step-by-step explanation:

lets use V as the number of students in each van and B as the number in each bus. hs A has filled 8 vans and 8 buses with 240 students in total so 8*V+8*B=240. We can divide by 8 and we will get that V+B=30 so B=30-V. hs B rented 4vans and 1 bus for 54 students so 4*V+1*B=54. we alredy know that B=30-V so we can substitute that in the 2nd equation so 4*V+30-V=54. simplify and we'll get that 3V=24, V=8 and B=30-V=30-8=22

Answer:

VX = 37

Step-by-step explanation:

Since VX is the midsegment, based on the midsegment theorem we would have:

VX = ½(UY)

VX = s - 37

UY = s

Plug in the values

s - 37 = ½(s)

Multiply both sides by 2

2(s - 37) = s

2s - 74 = s

Collect like terms

2s - s = 74

s = 74

VX = s - 37

Plug in the value of s

VX = 74 - 37 = 37

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

Answer:

x≤24

Step-by-step explanation:

4(x+5)≤116

x+5≤29

x≤29-5

x≤24