Above are two different models of the same pentagon. If the length of side b is 22 cm, what is the length of side a?
A.
18.25 cm
B.
5.5 cm
C.
11 cm
D.
27.5 cm

Answer:

x = 6

y = 24

z = there is no z?

Step-by-step explanation:

All angles of a polygon add up to 360 degrees

The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side

3y + 18 = 90

3y = 72

y = 24

15x + 30 + 10x = 180

25x = 150

x = 6

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

The number of people expected to have pretzels as their favorite snack is given as follows:

264 people.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The sample size is given as follows:

28 + 21 + 62 + 64 = 175.

The probability of a person having pretzels as their favorite snack is given as follows:

p = 21/175.

Hence the expected amount out of 2200 people is given as follows:

E(X) = 2200 x 21/175

E(X) = 264 people.

The results are given by the image presented at the end of the answer.

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Answer: See explanation

Step-by-step explanation:

5x + 4y = 24 ....... equation i

x + 7y = 11 ......... equation ii

Multiply equation i by 1

Multiply equation ii by 5

5x + 4y = 24 ....... equation iii

5x + 35y = 55 ....... equation iv

Subtract equation iv from iii

-31y = -31

y = 31/31

y = 1

It has been proves that y= 1

Since y = 1

x + 7y = 11

x + 7 = 11

x = 11 - 7

x = 4

True, the eventual success of any system solely depends on how users work with it.

A system's success is determined by various factors, such as its design, functionality, and compatibility with user needs.

However, user engagement, adaptability, and willingness to work with the system notably contribute to its success.

Users who understand the system's features and can efficiently adapt and utilize them in their workflow contribute to its overall effectiveness.

In contrast, a system with poor user adoption and engagement may not achieve its intended outcomes, regardless of its inherent quality.

So, even if a system is well-designed and has all the necessary features, if users are unable to effectively use it, the system will not achieve its intended purpose.

Thus, user adoption and effective usage are crucial for the success of any system.

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(a+b+c)^3=a^3 +b^3+c^3-2(ab+ac+bc)

216=a^3+b^3+c^3-2(11)

a^3+b^3+c^3=238

but ıdk how can ı find -3abc :/

===============================================

Work Shown:

a+b+c = 6

(a+b+c)^2 = 6^2

(a+b+c)(a+b+c) = 36

a(a+b+c)+b(a+b+c)+c(a+b+c) = 36

a^2+ab+ca+ab+b^2+ca+bc+c^2 = 36

a^2+b^2+c^2+2ab+2bc+2ca = 36

a^2+b^2+c^2+2(ab+bc+ca) = 36

a^2+b^2+c^2+2*11 = 36

a^2+b^2+c^2+22 = 36

a^2+b^2+c^2 = 36-22

a^2+b^2+c^2 = 14

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

a^3+b^3+c^3-3abc = (a+b+c)*(a^2+b^2+c^2 - (ab+bc+ca) )

a^3+b^3+c^3-3abc = 6*(14 - 11)

a^3+b^3+c^3-3abc = 18

9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

Answer:

1.4, 1 1/8, 0.7

Step-by-step explanation:

1 1/8 is equal to 1.125 which it makes it less than 1.4 but more than 0.7.

Answer:

\(0.7, \frac{11}{8},1.4\)

Step-by-step explanation:

In order to understand what numbers are greater and what numbers are smaller, we need to make them have the same common denominator. So firstly, we turn all of these numbers into fractions, and we get...

\(0.7 = \frac{7}{10}\\\\1.4 = \frac{14}{10}\\\\\frac{11}{8 }= \frac{11}{8 }\)

Now we, need to find the least possible number divisible by 10 and 8, to find the least common denominator. And we get, that the least common denominator is 40, and knowing this, now we have to take each fraction and turn it into an equivalent fraction with the denominator of 40. So we do...

\(\frac{11}{8}= \frac{(11)(5)}{(8)(5)}= \frac{55}{40}\\\\\frac{7}{10} = \frac{(7)(4)}{(10)(4)} = \frac{28}{40} \\\\\frac{14}{10} = \frac{(14)(4)}{(10)(4)} = \frac{56}{40}\)

Now we can put these fractions in order from least to greatest...

\(\frac{28}{40} < \frac{55}{40}<\frac{56}{40}\)

Therefore, we know that...

\(0.7 < \frac{11}{8} < 1.4\)

Answer:

it is not defined under the set of real number because negative numbers doesn't have real square root.

Step-by-step explanation:

but you can solve it under complex number.

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

$4,750

Step-by-step explanation:

All we need to do is multiply both values.

38 * 125 = $4,750

Best of Luck!

Answer:

Step-by-step explanation:

Answer:

a is the answer

Step-by-step explanation:

y = ( x^2 +2x+ 5 )^6,

let u be equal to x^2 + 2x + 5

y = u^6 '

dy|du = 6u^5, du|dx = 2x + 2

dy|dx = dy|du × du|dx = 6u^5 ×( 2x + 2 )

= 2( x + 1) × 6u^5 = 12 ( x + 1 )( x^2 + 2x +5)^5

Answer:

A. Not

B. IS

C. IS

Step-by-step explanation:

Answer:

In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!

Step-by-step explanation:

The graph of the sin function 5sin(pi/2 x-pi) +3 is given as follows.

A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1. Figure 3-13 illustrates the vertical stretch and compression that follow from multiplying a function by constant factors 2 and 0.5. Graph of a function illustrating vertical expansion and contraction.

Given function is:

5sin(pi/2 x-pi) +3

The graph of the sin function is shifted by 3 and is compressed by 5.

Thus, the graph is as follows.

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Answer:

midpoint of PQ will be at 4 units

Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

Answer: M = 12.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.

Given

Length of the frame = 45in

Width of the frame = 37in

Required

Area of the frame

Area of the rectangular frame = Length * Breadth

Area of the rectangular frame = 45in * 37in

Given 1feet = 12in

45in = 45/12 ft=  3.75ft

37 in = 37/12 ft = 3.083 ft

Area of the frame = 3.75ft * 3.083 ft

Area of the frame = 11.56ft²

Area of the frame ≈ 12ft²

Answer:

18 ft x 18 ft = 324 ft^2

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

parallel= same gradient

y2-y1/x2-x1= gradient

M: 7-5/3.5-1

=2/2.5

=0.8

N: 10-7/7.5-4

=3/3.5

=0.86 (2DP)

no, the gradients are not the same, so therefore the lines m and n are not parallel.

Hope this helps:)

Answer:

401 MILES

Step-by-step explanation:

miles from A to B:

64 * 5.5 = 352 miles

miles from A to C:

352 + 49 = 401 miles

Answer:

C

Step-by-step explanation:

→ Immediately remove option A and B from the list as they convert to non recurring decimals

Option C or D are both recurring

Answer:

Step-by-step explanation:

I hope it helps!

Answer:

The decreasing starts from -8 and then ends at -5. Then at 4 it's starts to decrease again and stops at 8.