Find the number of sides of a regular polygon if exterior angle of the polygon is:- (a) 90 (b) 45 (c) 12 (d) 4

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example [tex]y=\frac{1}{x}[/tex]:

See the graph for a visual.

Answer:

Step-by-step explanation:

take 74 degree as reference angle

using cos rule

cos 74 =adjacent/hypotenuse

0.275=x/12

12*0.275=x

3.3=x

take 36 degree as reference angle

using sin rule

sin 36=opposite/hypotenuse

0.587=x/11

0.587*11=x

6.457=x

6.5=x

take 39 degree as reference angle

using tan rule

tan 39=opposite/adjacent

0.809=13/x

x=13/0.809

x=16.06

x=16.1

take 16 degree as reference angle

using tan rule

tan 16=opposite /adjacent

0.286=x/14

0.286*14=x

4.00=x

4.0=x

x=

Answer:

b = 9.2

Step-by-step explanation:

Using the Pythagorean theorem (in your case): [tex]a^{2} +c^{2} = b^{2}[/tex]

Plug in your values and solve for x:

[tex]6^{2}+7^{2} =b^{2}\\36+49 =b^{2} \\85 = b^{2} \\b = \sqrt{85} \\b = 9.2[/tex]

Answer:

subtract 4 from both sides

Step-by-step explanation:

Given

x² + 2x - 11 = 4

First step : subtract 4 from both sides

x² + 2x - 15 = 0 ← in standard form

Second step : factorise the quadratic

(x + 5)(x - 3) = 0 ← in factored form

Third step : equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

Fourth step : state the solutions

solutions are x = - 5, x = 3

Answer:

b.

Step-by-step explanation:

|-2.5|<|-3|

l -2.5 l = 2.5

l -3 l = 3

2.5 < 3

Answer:

y = -1/3x + 7/3

Step-by-step explanation:

A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.

Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.

3 = -1/3 (-2) + b

9/3 = 2/3 + b

7/3 = b

Now we can create a line in slope intercept form: y = -1/3x + 7/3

Here is Standard Form if needed: x + 3y = 7

Answer:

the added degree of m1 and m2 equal m4

Answer:

you can use desmos

Step-by-step explanation:

for example put x=88

and do the same with the rest

then put x+y+z and you will get your answer

Answer:

Step-by-step explanation:

I'm going to  assume you meant y = ab^x. If this is not correct, leave a comment.

x = 0

y = 7

7 = a * b^0

anything to the zero power is 1

y = a*b^0

y = a*1

7 = a

So far what you have is

y = 7 * b^x

Now let

x = 9

y = 3584  

3584 = 7 * b^9         Divide by 7

3584/7 = b^9

512 = b^9

If you knew how to use logs, that would be the surest way to do this question. However I'm going to make an assumption again and assume that you have not taken those yet.

So the easiest way is to find out what raised to the 9th power will equal 512

Could b = 5?

5^9 = 1 million 9 hundred thousand something. 5 is far too big. Make sure you understand why. 1 million is far greater than 512

So let's try b = 3

3^9 = 19 thousand which is still far too big. 19 thousand something is far larger than 512.

We have just one more number that we can try.

2^9 = 512 and we have it

Answer y = 7*2^x

Answer:

< ABE  = 109

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)

< ABE = 1/2 ( 38+ 180)

< ABE = 1/2( 218)

< ABE  = 109

Answer:

132/100, or 1.32

Step-by-step explanation:

Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)

Answer:

8/5

Step-by-step explanation:

7 3/10-5 7/10=8/5

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Answer:

it is 2mm long

Step-by-step explanation:

16x0.125=2 so it is 2mm long

Answer:

is equls to 100 Brainliest 6

Step-by-step explanation:

the answer is in the above image

Answer:

B. Table B

Step-by-step explanation:

It is

Answer:

14 oranges

Step-by-step explanation:

8+6

Answer:

wachiwachiwachiwawawa

Answer:

18

√18

=3√2(Decimal: 4.242641)

Answer:

6/5

Step-by-step explanation:

1/5 + (2/5 + 3/5)

solve for the bracket first

1/5 +(2+3/5)

1/5 + (5/5)

1/5 + 1

1+1*5/5

6/5

another method

1/5 + (2/5 +3/5)

open brackets)

1/5 + 2/5 + 3/5

since their denominator are same u can add their numerator

1+2+3/5

6/5

Answer:

1/2

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

9-6=3

8-2=6

3/6=1/2