Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

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.

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Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

Answer: x > - 18

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the answer is 16 Because 2 gallons is 16

Answer:

16 pts in 2 gallons

Step-by-step explanation:

There a 8 pints in 1 gallon, so in two gallons there would be 16 pts.

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

Answer:

84

Step-by-step explanation:

52%of math problem are pointless

52%of math problem = pointless

52% of 175

(52/100)×175

91 =pointless

math problem - pointless =not pointless

175 - 91 = 84

Answer:

8

Step-by-step explanation:

72/9 = 8

like wise

8 times 9 is 72

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

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Answer:

x≤24

Step-by-step explanation:

4(x+5)≤116

x+5≤29

x≤29-5

x≤24

Answer:

use a ruler to answer the question

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:

x=143

Step-by-step explanation:

scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143

Answer:

24356475869708-9

Step-by-step explanation:

i-3= 47

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Answer:

a. Probability is 50%

b. Picking either a heart or spade is mutually exclusive

Step-by-step explanation:

There are 52 cards in a deck of cards.

Of those 52, 13 are hearts and 13 are spades.

The probability of picking wither of them is therefore:

= (13 + 13) / 52

= 26/52

= 50%

Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.

[tex]\huge\underbrace\red{Answer}[/tex]

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

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:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

b

Step-by-step explanation:

n+6

Step-by-step explanation:

it is because you're increasing the servings

Answer:

Step-by-step explanation:

the word inverse refers to the opposite of another operation.

The inverse of the function f is denoted by f -1.

If you found my answer useful then mark me brainliest.

Answer:

Step-by-step explanation:

1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.

2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.

3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.

4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.

5) He CAN order 2 sandwhiches. he has enough money for that

6) he CANNOT order negative amount of sandwhiches.

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

Answer:

B is the answer

Step-by-step explanation:

0.40 is the correct answer

Answer:

y > 1/3 x -3

Step-by-step explanation:

slope = 1/3

y intercept = -3

equation: y > 1/3 x -3

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Answer: C) 18

Step-by-step explanation:

Your problem → Simplify square root of 324

First find factors of 324

2 324

2 162

3 81

3 27

3 9

3 3

1

324=2×2×3×3×3×3

324 = 2^2 × 3^4

Taking squareroot

∴√324=√2^2 × 3^4

=2 × 3^2

=18

∴ 324 is a perfect square

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.