what is the area of this trapezoid

Answer:

h(x) = (-2x + 4)(3x − 3 )

Step-by-step explanation:

Answer:

25 MPG

Step-by-step explanation:

400/16 = 25

The miles per gallon of 16 gallons of fuel to drive 400 miles will be 25. The correct option is B.

Average refers to the distance a vehicle travels per unit of gasoline when no other conditions are present. Additionally, it is expressed as kmpl or mpg (miles per gallon) (kilometer per litter).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that a vehicle is running 400 miles by using 16 gallons of fuel. The average of the vehicle will be calculated as below:-

Average = Distance / Quantity of fuel

Average = 400 / 16

Average = 25 mpg

Therefore, the miles per gallon of 16 gallons of fuel to drive 400 miles will be 25. The correct option is B.

To know more about miles per gallon follow

https://brainly.com/question/5121239

#SPJ2

Step-by-step explanation:

Answer:

[tex]sum \: = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\ = 7x + 13 \\ median = ( \frac{sum}{2} + 1) \\ 16 = ( \frac{7x + 13}{2} + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x = \frac{1}{7} [/tex]

Answer:

A:48 B:45

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

Since there are 4 suits (Clubs, Spades, Diamonds, Hearts) in total, with 2 of them being black and 2 being white, that means that each subset has 26 cards. Of these, 2 of them are either kings or jacks, depending on which subset you look at. There are 2 black kings and 2 red jacks in a regular deck of cards. The probability starts as 4/52, which is simplified to 2/26 and is finalized as 1/13. Convert to a percentage if necessary.

Answer:

Meters

Step-by-step explanation:

Meter is the standard unit of length in SI system and is normally used to measure houses and fields, therefore it is appropriate unit of measure for the dimensions of the playground.

A meter has 100 centimeters which is fairly small unit and cannot be used for dimensions of playground.

Similarly a Kilometer has 1000 meters and is used to measure long distances from one place to other which also makes it inappropriate unit for dimension of playground.

Hope that clarifies the answer.

Answer: A

Step-by-step explanation: sorry if it is wrong.

Answer:

A or 15

Step-by-step explanation:

Answer:

c. 15 units

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 0)² + (-6 - 6)²

√(9)² + (-12)²

√81 + 144

√225

= 15

Answer:

20 units

Step-by-step explanation:

4 + 4 + 5 + 7

8 + 5 + 7

13 + 7

20

Answer:

Radius: 5.75

circumference:36.13

area:103.87

There you go!!

Answer:

radius : 5.75

circumference: 36.14

area: 103.91

Answer:

54° and 110°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

(9)

19x - 26 + 7x - 2 = 180

26x - 28 = 180 ( add 28 to both sides )

26x = 208 ( divide both sides by 26 )

x = 8

Then

∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°

(10)

21x - 33 + 14x + 3 = 180

35x - 30 = 180 ( add 30 to both sides )

35x = 210 ( divide both sides by 35 )

x = 6

Then

∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°

The inscribed angle YVW is half the measure of its intercepted arc YW, so

arc YW = 2 × 87° = 174°, then

arc XW = 174° - 64° = 110°

Cyclic quadrilateral is drawn inside a circle. The measure of the ∠EFG is 54°. The measure of the angle made by the arc XW is 110°.

A cyclic quadrilateral is a quadrilateral that is drawn inside a circle. The sum of the opposite angle of the cyclic quadrilateral is always equal to  180°.

9.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for

[tex]\angle GDE + \angle EFG = 180^o\\\\19x - 26 + 7x - 2 = 180\\\\26x - 28 = 180\\\\26x = 208\\\\x = 8[/tex]

Now, substitute the value of x, in order to get the measure of the ∠EFG,

[tex]\angle EFG = 7x - 2\\\\\angle EFG = 7(8) - 2\\\\\angle EFG = 56 - 2\\\\\angle EFG = 54^o[/tex]

The measure of the ∠EFG is 54°.

10.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for

[tex]\angle YXW + \angle YVW = 180^o\\\\21x - 33 + 14x + 3 = 180\\\\35x - 30 = 180\\\\35x = 210\\\\x = 6[/tex]

Now, substitute the value of x, in order to get the measure of the ∠YVW,

[tex]\angle YVW = 14x + 3\\\\\angle YVW = 14(6) + 3 \\\\\angle YVW= 84 + 3 \\\\\angle YVW = 87^o[/tex]

As we know that in the inscribed∠YVW, the ∠YVW is half the measure of its intercepted arc YW, therefore, We can write it as,

arc YW = 2 × 87° = 174°, and

arc XW = 174° - 64° = 110°

The measure of the angle made by the arc XW is 110°.

Learn more about Cyclic Quadrilateral:

https://brainly.com/question/9992339

Answer:

32cd-11cd=-42

21cd=-42

cd=-42/21

cd=(-2)

the answer is d

Answer: c = 13.96 or [tex]\sqrt{194.6}[/tex]

Step-by-step explanation:

[tex]a^{2}+b^{2}=c^{2}[/tex]

a and b = side lengths

c = hypotenuse

[tex]8.6^{2}+11^{2}=c^{2}[/tex]

[tex]73.96 + 121=c^{2}[/tex]

[tex]194.96=c^{2}[/tex]

[tex]\sqrt{194.6} =c[/tex]

[tex]c = 13.9628 = 13.96[/tex]

Answer:

YZ = 13.96

m∡Z = 52°

m∡Y = 38°

Step-by-step explanation:

found YZ first by using Pythagorean Theorem:

11² + 8.6² = YZ²

YZ² = 194.56

YZ = √194.56

YZ = 13.96

Used Law of Sines to find m∡Z:

sin 90°/13.96 = sin Z/11

sin Z = 11/13.96

arcsin Z = 52°

180 - (90 + 52) = m∡Y

m∡Y = 38°

Answer:

CAN YOU HEAR THE SILIECE

Step-by-step explanation:

Answer:

I'm not sure if you're asking for this answer...

Step-by-step explanation:

In-plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length

Answer:

1 - 2sin²5A

Step-by-step explanation:

cos10A = cos2(5A) = cos²5A - sin²5A = 1 - sin²5A - sin²5A = 1 - 2sin²5A

Answer:

Hello! answer: 39

Step-by-step explanation:

Formula for triangles area: base × height ÷ 2

Formula for squares area: base × height

5 × 3 = 15 15 ÷ 2 = 7.5 since there are 4 triangles that are the exact same I will just multiply by 4 so I have all the triangles so 7.5 × 4 = 30 now the square is just 3 × 3 so... 3× 3 = 9 now we add these up 30 + 9 = 39 therefore the surface area is 39

Answer:

39

Step-by-step explanation:

5x3=15

15/2=7.5

7.5x4=30

3x3=9

30+9=39

Answer:

D.

Step-by-step explanation:

The volume can be found by adding the volumes of a cylinder (the upper part of the figure) and a cone (the lower part of the figure).

Volume of Cylinder:  [tex]V=\pi r^2 h=\pi(3^2)(3)=27\pi\approx 84.823 \text{ cubic feet}[/tex]

Volume of Cone:  The height of the cone is 3 feet (the whole figure is 6 feet tall and the cylinder uses up 3 feet of that -- 6 - 3 = 3).

[tex]V=\frac{1}{3}\pi r^2 h=\frac{1}{3}\pi(3^2)(3)=9\pi\approx 28.274[/tex]

The total volume is 84.823 + 28.274, about 113.1 cubic feet

Answer:

b

Step-by-step explanation:

1 1/2 minus 2 is 1/2 which is 5/10 add that with 1/10 and get 6/10 and simplify and get 3/5

Answer:

Measure of N = 75°

Hope it helps

Answer: 56 seats

Step-by-step explanation:

Question should say 856 students not 156 students.

If there are 856 students and 700 guests, the total number of people coming for the event is:

= 856 + 700

= 1,556 people

There are 1,500 seats so the extra seats needed are:

=Number of people coming - Seats available

= 1,556 - 1,500

= 56 seats

If the question is indeed 156 students then there is no need for extra seats as the total number of people coming would be: 156 + 700 = 856. Seats would be surplus.

Answer:

The base area is 3.24 dm^3

Step-by-step explanation:

Let the total volume of the cube be x l

3/4 of this is 4.374 l

Thus, we have it that;

3/4 * x = 4.374

3x = 4 * 4.374

x = (4 * 4.374)/3

x = 5.832 L

The volume of a cube is the length of its side raised to the power of 3

Let us have the length as y

so;

y^3 = 5.832

y = cube root of 5.832

y = 1.8 dm

The area of the base is simply the side length raised to the power of 2

we have this as:

1.8 * 1.8 = 3.24 dm^2

Step-by-step explanation:

STEP 1

Equation at the end of step 1

(((x3) - 22x2) + x) - 4 = 0

STEP 2

Checking for a perfect cube

2.1 x3-4x2+x-4 is not a perfect cube

Answer:

Use this image for help and reference

Hopefully this helps:)

THE FORMULAE OF HEMISPHERE : V = 2/3 * π * r³

Step-by-step explanation:

Put the formulae of hemisphere,

V = 2/3 * π * r³

Put the values in the formulae,

= 2/3 × 3.14 × 9³

= 0.6666 × 3.14 × 729

= 2.09312× 729

= 1525.8m³ ans

→ value of π (pie) is 3.14

→ formulae of radius is d/2 = 18/2 = 9 in

Answer:

U just need to guess it does not have to be exact just say like 200 bricks and u will get it right.

Answer: A, C, and E! I just took this on Khan Academy! Please mark me brainliest because it it correct!