Explain the meaning of “net” drawing. Provide an example.

Answer:

Question 1:

The sum of interior angles of a polygon can be found by the following formula:

(n-2) × 180

Where n is the no. of sides

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

Question 2:

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]

Measure of interior angle = 135 degrees

Question 3:

Since, one interior angle in a hexagon measures 120 degrees.

So,

The interior angle should be subtracted by 180 to get the exterior angle.

Exterior angle = 180-120

Exterior Angle = 60 degrees

Answer:

D

Step-by-step explanation:

[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]

Answer:

C.) 6y-8

Step-by-step explanation:

8y-2(y+4)

8y-2y-8

6y-8

So answer is C

Answer:

Option C

Step-by-step explanation:

[tex]8y-2(y+4)\\\\\text{Distribute:}\left \{ {{-2*y=-2y} \atop {-2*4=-8}} \right. \\8y-2y-8\\\text {Combine like terms:}\\8y-2y=6y\\\text {We are left with:}\\\boxed {6y-8}\\\text {This is the simplest form of the equation. Option C should be the correct answer.}[/tex]

Answer:

a = -9/20

Step-by-step explanation:

We can evaluate what’s on the left hand side of the equation to get what a is.

The numerator can be expressed as x^(4/5)

The denominator is x^5/4

we use the law of indices to finish this off

That would be;

x^(4/5) ÷ x^(5/4)

Using the second law of indices;

x^(4/5-5/4) = x^-9/20

Since the bases are now equal, then we equate the powers

Thus a = -9/20

Answer:

The answer is B

Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.

Answer:

78

Step-by-step explanation:

400-244=156

156/2=78

Answer:

78 years old

Step-by-step explanation:

400 − 2 x = 244

400 − 244 = 2 x

156 = 2 x

so the answer would be 78 years old...

Hope that was helpful.Thank you!!!

Answer:

x = -2,-3

Step-by-step explanation:

Solve the equation by factorizing.

To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.

This one is obvious, but for others you may use trial and error.

After finding the 2 numbers: 2 and 3.

Present them in this format:

(x+3) ( x+2) = 0

You may check if this is correct using the distribution method.

After this,

you have to solve it individually.

for example:

x+3 = 0

x = -3

x+2 = 0

x = -2.

Thus, x has 2 different values: -3, -2.

You may check this by substituting x with either of these values.

Please mark brainiest

Answer:

A ratio is when 2 values that come from related things are compared in the form of x:y

Answer:

comparison between things

Step-by-step explanation:

for example:

16 girls and 8 boys in a class room

the ratio would be 2:1 (girls:boys)

Answer: 9/10

Step-by-step explanation:

Total cards are 20

Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10

Answer:

Brainliest here! >:D

Step-by-step explanation:

the is a total of 20 cards

2 of them of red

so 18 of the 20 (18/20) is not red

so the probability theroticatily is 9/10 or 90%

[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

The following steps can be used in order to determine the measure of angle b:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

[tex]\angle Q + \angle P + \angle R = 180[/tex]

[tex]\angle Q + 2\angle R = 180[/tex]

[tex]2\angle R = 180-60[/tex]

[tex]\angle R = 60^\circ[/tex]

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

[tex]\angle P + \angle S + \angle R = 180[/tex]

[tex]\angle S + 2\angle R = 180[/tex]

[tex]2\angle R = 180-90[/tex]

[tex]\angle R = 45^\circ[/tex]

Step 4 - Now, the measure of angle b is calculated as:

[tex]\angle b = 60-45[/tex]

[tex]\angle b = 15^\circ[/tex]

The measure of angle b is 15 degrees.

For more information, refer to the link given below:

https://brainly.com/question/7915845

Answer:

-60% decrease

Step-by-step explanation:

60 is the old value and 24 is the new value.

percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%

so for this problem, you can substitute the values given in the formula:

percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =

-60% (decrease)  

Answer:

see below

Step-by-step explanation:

Assuming the comma means and

a) P(A , E) = P(A) * P(E) = .1 * .5 = .05

b) P( A, L, E) =  P(A) * P(L) *P(E) = .1 *.4* .5 = .002

C This means that it snows in Abbostford, Lehtbridge and Estevan today  is .002 or .2%

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

4) (4x^2)(3x+1)

I have factorised all of them by taking the common factor out of each

Answer: x=-46

Step-by-step explanation:

Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):

4(-8x+5)-(-33x-26)=0

-32x+20+33x+26=0

1x+46=0

x=-46

Hope that helps!

Answer:

x+46

Step-by-step explanation:

I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.

Hope this helped!

Answer:

730864

Step-by-step explanation:

654321 +76543=730864

Answer:

The value of AB is 9/2 or 4.5

Answer:

4.5 cm

Step-by-step explanation:

The total area is the sum of areas of two rectangles:

Answer:

32•z^4•s^7

20w^9

Step-by-step explanation:

We simply use the multiplication law of indices to work these out.

1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7

2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9

Answer:

Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

n = 1 2/5

Step-by-step explanation:

-21 + 70n = 77

Add 21 to each side

-21+21 + 70n = 77 +21

70n = 98

Divide each side by 70

70n/70 = 98/70

n =98/70

n = 70/70 +28/70

n = 1 + 2/5

n = 1 2/5

Answer:

This would also be known as 7/5

Step-by-step explanation:

The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!

Answer:

Step-by-step explanation:

We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]

Proof:

From trigonometry identity;

[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]

[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]

From trigonometry, 2sinAcosA = Sin2A

[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

[tex]\frac{4(sin(420-140)) }{sin280}[/tex]

= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]

Answer:

40.6 degrees

Step-by-step explanation:

We know:

KL = 6

JK = 7

Angle L = 90 degrees

So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :

[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]

We can find angle K with the following equation:

[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]

Answer:

31

Step-by-step explanation:

\cos K = Adj/Hyp = 6/7

cosK=  7/ 6

K=\cos^{-1}(6/7)

K=cos  −1  (  6/7  )

K=31.0027≈31  

Answer:

15

17

Step-by-step explanation:

x/5=3 ⇒ x=5*3=15

x/2=8.5 ⇒ x= 2*8.5=17

Answer:

Figure A and B are still congruent to each other. the only change is the size of the shape.

Step-by-step explanation:

Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Suppose figure A underwent a dilation to produce figure B.

Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

Answer:

B. x + 0.2x

Step-by-step explanation:

0.2 is equal to 20%

x represents the amount of dollars, and 20% of x would be written as 0.2x.

The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.

Answer:

There are 54 total sweets  

Step-by-step explanation:

Alex: Stephen : Bridget : total

4:          1          :      1       : 4+1+1 = 6

Alex gets 36

36/4 = 9

Multiply each number by 9

Alex: Stephen : Bridget : total

4*9:          1*9   :      1*9    :    6*9

36:               9 :         9     :   54

There are 54 total sweets  

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]

[tex]\frac{5^{8+-2}}{5^4}[/tex]

[tex]\frac{5^{6}}{5^4}[/tex]

[tex]5^{6-4}[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Step-by-step explanation:

milk container

a room spray

coke can

Answer:

Pipes

Cold drink cans

Water tanks

Battery

Gas cylinder

Candle

Test tube

Beaker

Fire extinguisher