In trapezoid ABCD, Line AB is parallel to CD. If AE=5.2, AC=11.7 and CD=10.5, what is the length of AB to the nearest tenth?

The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.

A triangle is a shape that has three sides. The sides can be measured using a ruler.

The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.

Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.

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Answer:

4 pt = 8 cups

28 qt = 7 gallons

Step-by-step explanation:

We know, from your chart, that 1 p = 2 c

4 p is four times 1 p

so, to scale up 1 pint to 4 pints, we multiply by 4

to figure out what the corresponding number of cups would be, we also have to multiply that value by 4

if                1 p    =    2 c

then          4 p    =    8 c

               (1 x 4)      (2 x 4)

8 cups

--------

If we have 28 quarts, and we know that 4 quarts is 1 gallon, we can divide 28 / 4 to find how many gallons are in 28 quarts (or, how many gallons can be made of 28 quarts)

28 / 4 = 7

7 gallons

Answer:

not equivalent

Step-by-step explanation:

solve for x to see if they are equivalent

1/2x-8=9 and x-8=18

1/2x=17

x=34

x-8=18

x = 36

no they are not equivalent

The y-intercept of linear function (f- g)(x) is (0,9)

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

[tex]y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1[/tex]

So, we have:

[tex]f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15[/tex]

Evaluate

f(x) = -2x + 3

Also, we have:

[tex]g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36[/tex]

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

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Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

The trigonometric function requires a domain restriction of [0, π/2) ∪ (π/2, pi] is tan x, sec x.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

tan x = (sin x)/(cos x)    

sec x = 1/(cos x)

cos x becomes zero at {-π/2,π/2}

Therefore, the both of the function are undefined at {-π/2,π/2}

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Answer: 0.000000009085

Step-by-step explanation: This expression is rewritten like this because it is multiplied by a negative power of ten. Therefore, applying this principle to scientific notation, the answer would have to be less than 0. That would be your answer. Hope this helps!

Answer: rectangle

Step-by-step explanation:

The options imply the figure is a parallelogram. Furthermore, we can tell that not all the sides are congruent, so we can rule out the possibility that it is a rhombus or a square.

To determine if it is a rectangle, we can use the slope formula to determine if there is a pair of perpendicular sides. If this is the case, then this will be a parallelogram with a right angle, making it a rectangle.

[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC}[/tex]

So, the most specific classification is a rectangle

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast.

This is known to be when there is no electrical power due to unforeseen reasons.

Based on the fact that there is power outage, it  is important to leave the freezer and refrigerator doors closed as when it is open, it may lead to heating off fast and thus things on it may get bad easily. The right thing to do is to leave it closed.

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Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Answer:

$122.88

Step-by-step explanation:

the phone decreases by 20% each year , that is

(100 - 20)% = 80% = [tex]\frac{80}{100}[/tex] = 0.8

the phone reduces by a factor of 0.8 each year , then after 4 years

value = $300 × [tex](0.8)^{4}[/tex] = $122.88

Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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The probability you spin something larger than 10 will be 1  /  2.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The given data is:-

The probability will be calculated as:-

Total numbers = 8

Numbers greater then 10 are = 13 , 16 , 22 , 42 = 4

Probability  =  4  /  8  =  1  /  2

Therefore the probability you spin something larger than 10 will be 1  /  2.

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The value of n in the mathematical statement is 0.64

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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Answer:

11.94 %

Step-by-step explanation:

Compound interest formula     FV = PV e^(it)    i = decimal interest per year  

                                                                             t = time   FV = future value

2600 = 1000e^(i * 8)

  solve for i = 11.94 %

Answer:

27,032 Rupees

Step-by-step explanation:

$1.09 x 400 = $436

$436 x 62 = 27,032

(Hope this helps and that it's not wrong ^-^)

uhm i dont know sorry but i can't help you

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

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What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

eden must run 2 3/8 laps to complete the race.

To calculate the laps that Eden is missing, we must perform the following operation:

We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.

On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.

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Answer: 20x  + 20

Step-by-step explanation:

    We will distribute the four into the expressions to expand, then we will simplify.

   Given:

4(2x + 3) + 4(3x + 2)

   Distribute:

8x + 12 + 12x + 8

   Combine like terms with addition:

20x + 20

                   20x  + 20

Answer:

D.

Step-by-step explanation:

0.45*5=2.25

0.25*9=2.25

2.25*2=4.50

Hope this helps!

If not, I am sorry.

The area of a 2D form is the amount of space within its perimeter. The correct option is D.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the L block will be the sum of the area of A and B. Therefore, the area can be written as,

Area of L block = Area of A + Area of B

                          = (7×2) units² + (1 × 5) units²

                          = 14units² + 5units²

                          = 19units²

Hence, the correct option is D.

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In this situation, attendee number thirty will be the first one o receive both the bobblehead and the ticket.

Bobblehead:

Ticket:

It can be concluded the attendee number 30 will be the first one to receive both the ticket and the bobblehead.

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Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Given that;

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

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Answer:

A=108

B=22

C=51

D=28

Step-by-step explanation:

A= AFB is a vertical angle opposite 108

B= congruent angles congruent sides, 11 x 2 sides

C= using angle rules, alternate interior angles of 21 puts 21 in the

triangle with 108, all triangles sum total 180, so (180-21=51)

for the 3rd angle ACD

D=last answer

The two limiting factors that affect both deciduous forests and grasslands very low rainfall throughout the year ,  a wide range of temperatures throughout the year , Option 1 and 3 are the correct answer.

The places where there is not enough rainfall for the forest to sustain and grow , a layer of grass is spread out , these are called as grasslands.

The two limiting factors that affect both deciduous forests and grasslands is that they both receive very low rainfall throughout the year.

and a wide range of temperatures throughout the year , It can get very warm and simultaneously very cold .

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Answer:

[tex]r \: = \: \boxed{ \bold{\frac{2}{3} }}[/tex]

Step-by-step explanation:

[tex]r \: = \: \frac{36}{54} \\ \\ r \: = \: \frac{24}{36} \\ \\ r \: = \: \frac{16}{24} [/tex]

[tex]r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} \\ \\ r \: = \: \frac{2}{3} [/tex]

Since the ratio is the same, that is the common ratio.