(c) The perimeter of a rectangle with length 2r cm and width 5 m is 14 m.

Answer:

7.07143

Step-by-step explanation:

Diameter: 18

Angle: 45

Radius: 9

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

⇛ ∠E + ∠F + ∠G + ∠H = 360°

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

Answer:

5 cm

Step-by-step explanation:

We can use a ratio to solve

1 cm      x cm

-------  = ---------

18 m         90 m

Using cross products

1 * 90 = 18x

Divide each side by 18

90/18 = 18x/18

5 =x

5 cm

[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]

[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]

Hence , the length of map is 5 cm.

Answers:

Center = (1, 5)

Radius = 3

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

Work Shown:

[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]

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

Explanation:

The idea is to complete the square for the x and y terms separately.

Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.

The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2

Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]

Center = (h,k) = (1,5)

Radius = r = 3

Answer:

-41

Step-by-step explanation:

f(x) = 4x + 3 and g(x) = -2x + 5

g(f(5) ) =

First find f(5) = 4(5)+3 = 20+3 = 23

Then find g(23) = -2(23) +5 = -46+5 = -41

Given:

Total number of people = 10

To find:

The number of ways in which 10 people can be divided into three groups of 2, 3, and 5 people respectively.

Solution:

We know that the number of ways to select r items form n times is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

The number of ways to select 2 people from 10 is [tex]^{10}C_2[/tex].

The number of remaining people is [tex]10-2=8[/tex].

The number of ways to select 3 people from 8 is [tex]^{8}C_3[/tex].

The number of remaining people is [tex]8-3=5[/tex].

The number of ways to select 5 people from 5 is [tex]^{5}C_5[/tex].

Now, the total number of ways is:

[tex]Total=^{10}C_2\cdot ^{8}C_3\cdot ^{5}C_5[/tex]

[tex]Total=\dfrac{10!}{2!(10-2)!}\cdot \dfrac{8!}{3!(8-3)!}\cdot \dfrac{5!}{5!(5-5)!}[/tex]

[tex]Total=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}\cdot \dfrac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\cdot 1[/tex]

[tex]Total=45\cdot 56\cdot 1[/tex]

[tex]Total=2520[/tex]

Therefore, the total number of ways is 2520 to divide 10 people into three groups of 2, 3, and 5 people respectively.

Answer:

39°

Step-by-step explanation:

The angle adjacent to 115° in the lower triangle = 180° - 115° = 65°

angle on circle in lower triangle

= 180° - (65 + 76)°  ← angle sum in triangle

= 180° - 141° = 39°

Angles on the circle subtended from the same arc are congruent, then

shaded angle = 39°

Answer:

The stock in last three days has a net gain of 3.

Step-by-step explanation:

The net change of the stock is the sum of daily changes in last three days. Please notice that positive sign means means for gain, whereas negative one is for loss. Based on information given on statement, we determine the net change in the stock:

[tex]x = -\left(8 + \frac{3}{8} \right)-\left(1+\frac{5}{8} \right) + 13[/tex]

[tex]x = 3[/tex]

The stock in last three days has a net gain of 3.

Answer:

9.26

Step-by-step explanation:

Using the table, we can deduce that:

6+2 = 8

8+3=11

7+9=16

Using addition rules:

The '1' in the 11 moves and is added to the 'ones' place.

The '1' in the 16 moves and is added to the 'hundredths' place.

Thus,

8+1 . (1+1) (6)

9.26

It is also most certainly possible to use a calculator, which is much, much easier.

Find the sum... 6.87 + 2.39

6.87 + 2.39=9.26                                                                                                

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

Answer:

65

Step-by-step explanation:

Exterior angle = Sum of 2 interior angles

x + 31 = x + x - 34

x + 31 = 2x - 34

x - 2x = - 34 - 31

- x = - 65

x = 65

Step-by-step explanation:

A triangle's angles add up to 180°, and a straight line is 180 degrees, so 180 - x + 31 is the interior angle that isn't labeled.

[tex]x+x-34+180-x-31=180[/tex]

[tex]x=180-115[/tex]

[tex]x=65[/tex]

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

the Answer is irrational number

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

Answer:

The y intercept is (0,5)

Step-by-step explanation:

f(x) = 5 * (1/6)^x

What is the y intercept?  Let x = 0

f(0) = 5 * (1/6)^0

f(0) = 5*1 = 0

The y intercept is (0,5)

9966004321 is larger than 1 billion by 9,866,004,321.

Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.

In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.

According to the given question

We have number 9966004321

1 billion = 1,000,000,000

So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.

Therefore,

9966004321 - 1,000,000,000 = 9,866,004,321

Hence, 9966004321 is larger than 1 billion by 9,866,004,321.

Learn more about comparison of two numbers here:

https://brainly.com/question/17329628

#SPJ2

si cinco son blancas como va a ver una negra ?

Answer:

2y=2y-4=x

Step-by-step explanation:

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.

Given

4x² + 5x - 8

x = 3

Substitute the value of x

4(3)² + 5(3) - 8

Simplify exponents

4(9) + 5(3) - 8

Simplify multiplication

36 + 15 - 8

Final subtraction and addition

43

Hope this helps!! :)

Please let me know if you have any questions

Answer:

u47464 is not working properly a lot and a new message was delivered at a loss or so to do a little better for your help you

Answer: C. 4 months

Step-by-step explanation:

Someone in the comments said 4 months, tried it, and I got it correct so just passing it on.

Bisect means it is in the middle so that the length of each side would be the same.

The bisector is point W

Answer:

9.) y=-2x-4

10.)y=2/3x

Step-by-step explanation:

Parallel lines have the same slope, different intercepts

9.) The slope is -2x

To find the parallel line

y-(-4)=-2(x-0)

y+4=-2x

y-4=-2x-4

y=-2x-4

10.) You must first put the equation in slope-intercept form.

-2x+2x+3y=2x+12

3y=2x+12

Divide by 3

3y/3=2x/3+12/3

Simplify

y=2/3x+4

Slope = 2/3x

y-2=2/3(x-3)

y-2=2/3x-6/3

y-2=2/3x-2

y-2+2=2/3x-2+2

y=2/3x

Answer:

D 111.4 cm²

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

A function's input is assigned to exactly one output. Any input must not repeat.

Option A's not a function because the input of 3 repeats.

Option B's not a function because the input of -4 repeats.

Option C's a function because no inputs repeat.

Option D's not a function because the input of 5 repeats.

Hope this helps.

Answer:

532

A

Step-by-step explanation:

A=86

B=180

C=94

D=266

now,

a+b+c+d_94

=86+180+94+266_94

=532