work out the size of the reflex angle

Answer:

6

Step-by-step explanation:

Let line WY be the line of reflection

RR has the midpoint at Z.

In other words, the line:  =

SS is another line

It has a midpoint at X. In other words, line SX =

If SS =  12, then the line SX =

Because the shape is a parallelogram, it means that RZ = SX = 6

Answer:

Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.

Step-by-step explanation:

Cost for one year at University of Oklahoma = $20,000

Cost for 4 years = 4 × $20,000 = $80,000

Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000

Amount she needs to borrow = $80,000 - $57,000 = $23,000

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

A

[tex]n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)[/tex]

this is not an odd number

B

[tex]n(n-1)=(2a+1)2a[/tex]

this is not an odd number

C

[tex](n-1)^2=(2a+1-1)^2=4a^2[/tex]

this is not an odd number

D

[tex]n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1[/tex]

so this is an odd number

E

[tex]n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1[/tex]

so this is an odd number

F

[tex](n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1[/tex]

this is an odd number

hope this helps

Answer:

the last option is the correct answer

Step-by-step explanation:

the symbol ≥ means greater or equal to. so the direction of line must be heading to the right and must start at -1.

Answer:2nd, 3rd and 4th

Step-by-step explanation:

Answer : The amount of margarine needed is 1 kg.

Step-by-step explanation :

First we have to convert volume of syrup from mL to L.

Conversion used:

1 L = 1000 mL

or, 1 mL = 0.001 L

So, 225 mL = 0.225 L

Now we have to calculate the amount of margarine needed.

As, 0.225 L of syrup needed 150 g of margarine

So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine

Amount of margarine needed = 1000 g = 1 kg     (1 kg = 1000 g)

Therefore, the amount of margarine needed is 1 kg.

Answer:

x=-3+7y

Step-by-step explanation:

add 7y to both sides then divide by 6 to get x by itself,you end up with x=-3+7y

Answer:

x=7y/6-1/3

Step-by-step explanation:

You have 6x -7y = -2 add 7y on both sides

6x = 7y -2 divide by 6

x=7y/6-1/3

Answer:

C. Multiply the bottom equation by 2

Step-by-step explanation:

-2x+ 4y= 10

3x- 2y =-7

We want to multiply the second equation by 2

-2x+ 4y= 10

6x- 4y =-14

------------------

4x +0y = -4

Answer:

C. Multiply the bottom equation by 2

x = - 1

y = 2

Step-by-step explanation:

Multiplying 3x - 2y = - 7 by 2, we get:  

- 2x + 4y = 10

6x - 4y = - 14

____________

4x = - 4

x = - 1

Putting x = - 1 in 3x - 2y = - 7, we get:

3 * (- 1) - 2y = - 7

= - 3 - 2y = - 7

= - 2y = - 7 + 3

= - 2y = - 4

= y = 2

Hope this helps!

Answer: Each wheel makes 437.5 revolutions in 20 mins

Step-by-step explanation:

Circumference = 2πr

Given that the radius is 40 cm

Circumference = 2π(40) = 80π cm

Find the distance traveled in 20 mins

Speed = 66 km/h

1 hour = 66 km

Rewrite hour into min

60 min = 66 km

1 min = 66 ÷ 60 = 1.1 km

Rewrite km in cm

1.1 km = 1.1 x 10,000 cm = 110,000 cm

Find the number of revolutions in 20 mins:

1 revolution = 80π cm

Number of revolution = 110,000 ÷ 80π = 437.5

Answer:

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

Step-by-step explanation:

According to coulombs law "the force of attraction or repulsion between two charges Q1 and Q2 in a given medium is directly proportional to the product of their charges and inversely proportional to the square of the distance separating them"

[tex]F=\frac{K Q1Q2}{d^2} \\[/tex]

where

k = constant of proportionality ([tex]9.05*10^9[/tex])

Answer:

it is c

Step-by-step explanation:

Answer:

i think is (0.5,25)

Step-by-step explanation:

becuse at the time they have the same speed

Answer:

z

Step-by-step explanation:

z

Answer:A) (1 x 4) + (1 x 4) = 8

There are 8 possible combinations

B) BC:RD:RS:BH:BS:RH:BD:RC

Step-by-step explanation:

Hope it helps. Step by step in on the top. :)

Answer:

D.

Step-by-step explanation:

The exponential function is represented by the table is,

f(x)=0.8(2^x).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.

The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.

The exponential function is represented by the table is,

f(x)=0.8(2^x).

To learn more on function click:

brainly.com/question/21145944

#SPJ5

Answer:

2)85

3)95

4)85

Step-by-step explanation:

all of the insides has to equal 360

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

The product is 4n, then the added +3.

4n + 3

4 × n + 3

So the verbal expression can be said as:

''The product of four times a number 'n' added with 3.''

Answer: x≥-1 or x≤-5

Step-by-step explanation:

First, divide both sides by 4 to get rid of the 4:

4|x+3|≥8

|x+3|≥2

Next, we know that for |a|≥b, a≥b or a≤-b. Therefore:

|x+3|≥2

x+3≥2     or      x+3≤-2

x≥-1                  x≤-5

Answer:

1) B

2) D

3) A

4) B

Step-by-step explanation:

We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.

After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question

Answer:

450 miles

Step-by-step explanation:

5 miles = 450 miles

8 km = 720 km

Answer:

450 mi

Step-by-step explanation:

8km=5mi

720km/8km=90

8km (90)=5mi(90)

5mi(90)

Answer:

[tex] - x {}^{2} - 10 = 34[/tex]

Answer:

True

Step-by-step explanation:

We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,

First rule → The difference between the 2 numbers is 5

20 - 15 = 5 ⇒ Correct

Second rule → The numbers are in the ratio 3 : 4

15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct

Answer:

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

Answer:

Line Graph

Step-by-step explanation:

A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.

Answer:

10

Step-by-step explanation:

The hypotenuse of a triangle is the side that is opposite to the right angle, meaning that none of its endpoints form the right angle. In this case, the hypotenuse is LN which is 10.

Answer:

sinP = 7/25

cosQ = 7/25

tanP = 7/24

cotQ = 7/24

secP = 25/7

cscQ = 25/24

Step-by-step explanation:

sin∅ is opposite over hypotenuse

cos∅ is adjacent over hypotenuse

tan∅ is opposite over adjacent or sin∅/cos∅

csc∅ is hypotenuse over opposite or 1/sin∅

sec∅ is hypotenuse over adjacent or 1/cos∅

cot∅ is adjacent over opposite or cos∅/sin∅

Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²

The missing side length RQ after we use Pythagorean Theorem would be 7.

From there, we can find the trigonometric values.

Answer:

Step-by-step explanation:

Answer:

The least value of n is 17.

Step-by-step explanation:

First term (a) = 46

Second term (a + d) = 43

Third term (a + 2d) = 40

Common difference (d) = second term - first term = 43 - 46 = -3

Tn (nth term) = a + (n - 1)d

a = 46, d = -3

Tn = 46 + (n - 1)-3 = 46 + (-3n + 3) = 46 - 3n + 3 = 49 - 3n

For Tn to be negative, the product of 3 and n must be greater than 49.

Therefore, the least value of n is 17

Answer:

17

Step-by-step explanation:

AP 46, 43, 40

a₁= 46, a₂= 43, a₃=40

d= a₃-a₂= a₂-a₁= -3

aₙ= 46+(n-1)*(-3)= 46-3n+3= 49- 3n

nth term is negative, so:

So the least n=17

Answer:

b

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

Answer: (0.28/365 •30)(620)

Step-by-step explanation:

Answer:

56.2

Step-by-step explanation:

If that is 674/12 then that's your answer

Answer:

64.5833333333333333333 = 775/12

Step-by-step explanation:

7/12 = 5.83333333333333333.

First you have to calculate 70% of $2240...

[tex] = \frac{70}{100} \times 2240[/tex]

[tex] = 7 \times 224[/tex]

[tex] = 1568[/tex]

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Answer:

The correct option are;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C

Step-by-step explanation:

The parameters given are;

Domain: [tex]\{x|-4<x\leq 4, x \in R \}[/tex]

Range: [tex]\{y|-4\leq y< 4, y \in R \}[/tex]

Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;

Given that x > -4, and ≤ 4, the points B and C satisfies the conditions

Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions

Where:

Point B = (4, 4) satisfies x only

Point C = (4, -4) satisfies x and y

Point D = (-4, -4) satisfies y only

Therefore, in order to draw a line segment between two points;

i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.

ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.