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Answer:

Length = 8 feet

Step-by-step explanation:

Perimeter = 2 x ( length + width )

20 = 2 x (length + 2)

10 = Length + 2

10 - 2 = Length

Therefore, Length = 8 feet

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

mark me as a brainleast

Step-by-step explanation:

iam not undeerstand on your qiestion write it beautiful words

Answer:

(Altitude)^2+(Base)^2=(Hypotenuse)^2

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

[tex]a=\pi r^2/2[/tex]

3.14 will be used for pi!

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

[tex]a=lw[/tex]

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

[tex]32/2=16[/tex]

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

[tex]\pi 16^2/2=401.92[/tex]

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

[tex]14*32=448.[/tex]

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

[tex]401.92+448[/tex]

[tex]=849.92[/tex]

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

Diagram attached

Answer:

72 degrees

Explanation:

From the diagram, angle on a straight line add up to 180 degrees.

180 degrees - 144 degrees = 36 degrees.

Sum of the angles in a triangle= 180 degrees

Angles x and the other are congruent(the marks from the diagram indicate).

Therefore sum of the congruent angles= 180 degrees - 36 degrees = 144 degrees

Angle x= 144/2= 72 degrees

Answer:

C)  1

F)  29

Step-by-step explanation:

all numbers less than 30 are solutions

Answer:

C. 1

F 29

Step-by-step explanation:

X+ 30 < 60

Subtract 30 from each side

X+ 30-30 < 60-30

x < 30

A. 30  no not less than 30

B. 45 no not less than 30

C. 1 yes  

D. 50 no not less than 30

E 300 no not less than 30

F 29  yes

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]

[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]

[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]

[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]

[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]

[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]

[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

25√2

Step-by-step explanation:

Since angle BAC and angle ABC are equal, AB = BC.

Let x = AB = BC

By the Pythagorean theorem,

AB² + BC² = AC²

x² + x² = 50²

2x² = 2500

x²= 1250

x = √1250

x = √(2 • 625)

x = √2 • √625

x = √2 • 25

x = 25√2

x = AB = 25√2

Answer:

∠RST = ∠SRU because they are alternate angles.

Step-by-step explanation:

Hope it helps .

Answer:

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

so a2 = a3 = 39

a1=102, a2=39, a3=39

Step-by-step explanation:

a1=102

a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

Answer:

second option

Step-by-step explanation:

y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)

2y = 180 - 38

y = 142/2

y = 71 degree

Answer:

71 degrees

Step-by-step explanation:

Hi there!

All the interior angles of a triangle add up to 180 degrees.

Knowing this, we can construct the following equation:

[tex]180=y+y+38\\180=2y+38[/tex]

Subtract 38 from both sides

[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]

I hope this helps!

Answer:

B ; A

Step-by-step explanation:

1) The first operation that we have to do is the division

2) we have to added up the the fishes

Answer:

A

Step-by-step explanation:

because linear modelling can include population change

Answer:

0.62

Step-by-step explanation:

it is because the number of girls in the class is larger than the number of boys in the class which means the probability is high

The probability of picking a girl is 0.55.

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Number of boys = 13

Number of girls = 16

Total number of students = 13 + 16

                                          = 29

Probability = [tex]\frac{Favorable events}{Total number of events}[/tex]

                  = [tex]\frac{16}{29}[/tex]

                  = 0.55

Hence, we can conclude, the probability of picking a girl is 0.55.

Learn more about probability here: https://brainly.com/question/9793303

#SPJ2

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Answer:

1 [tex]\frac{1}{3}[/tex] miles.

Step-by-step explanation:

2/4 + 5/6 = ?

We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.

2/4 = 6/12

5/6 = 10/12

6/12 + 10/12 = 16/12

16/12 = 4/3

4/3 = 1 [tex]\frac{1}{3}[/tex]

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

Answer:

i. y = 4

ii. p = 45

iii. m = 5

Step-by-step explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

    = 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y = [tex]\frac{36}{9}[/tex]

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

                           = RM 5.90m

Amount paid = RM 50 - RM 20.50

                      = RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m = [tex]\frac{29.50}{5.90}[/tex]

   = 5

m = 5

The number of units of chairs bought is 5.

Answer:

Here,

CD + DE = CD

x+10 + x+4 = 8

2x + 14 = 8

2x= -6

x= -3

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

Answer:

The answer is 3

Step-by-step explanation:

Answer:

m anglw ABD answers is 50 degree

Answer:

[tex]{ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}[/tex]