Determine whether quadrilateral ABCD with vertices
A(-4, -5), B(-3, 0), C(0, 2), and D(5, 1) is a trapezoid.
Step 1: Find the slope of AB. The slope of AB is
Step 2: Find the slope of DC. The slope of DC is
Step 3: Find the slope of BC. The slope of BC is
Step 4: Find the slope of AD. The slope AD is
The quadrilateral is a trapezoid because

Step-by-step explanation:

Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.

Answer:

the amount of space that a substance or object occupies.

basically the volume of a container, like space in a container.

Answer:

11

Step-by-step explanation:

sqrt(121)

What number times itself gives 121

11*11 = 121

-11 * -11 = 121

Answer:

the square root of 121 is 11

which is the second option

Answer:

4

Because the second number (y) is 4 on the grid. It rises to 4.

Answer:

7x + 8

Step-by-step explanation:

15x + 10 - 8x + 8

combine like terms

7x + 8

Answer:

[tex] \cos(71) = \frac{15}{x} [/tex]

[tex]x = \frac{5}{ \cos(71) } [/tex]

[tex]x = 46.07[/tex]

[tex]x = 46.1[/tex]

OPTION B

Answer:

[tex]\frac{15+6}{10-3}[/tex]

Step-by-step explanation:

Sum of 15 and 6 = 15 + 6

Difference of 10 and 3 = 10 - 3

So, the expression is

[tex]\frac {15 + 6}{10-3}[/tex]

This is the required expression.

Answer:

A square

Step-by-step explanation:

the coordinates make a square.

Hi there!

[tex]\large\boxed{\text{gradient = -2}}[/tex]

Recall the equation:

y = mx + b, where:

m = slope, or gradient of a line

Rewrite this expression into the above format:

3y + 6x = 12

Isolate y by subtracting 6x from both sides of the equal sign:

3y + 6x - 6x = 0x -6x + 12

3y = -6x + 12

Divide all terms by 3:

y = -2x + 4

Thus, the gradient is -2.

[tex] \huge \mathrm {➢ \: \: \: \: Answer }[/tex]

The above figure consists of three different shapes, that is :

Let's solve for surface area of whole figure :

1. Curved surface area of hemisphere : -

[tex] \large \boxed{ \boxed{2\pi {r }^{2} }}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 4[/tex]

[tex]➢ \: \: 100.48 \: m {}^{2} [/tex]

2. lateral surface area of Cylinder : -

[tex] \large \boxed {\boxed{2\pi rh}}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 10[/tex]

[tex]➢ \: \: 251.2 \: { m}^{2} [/tex]

3. curved surface area of cone :

[tex]slant \: height = \sqrt{4 {}^{2} + 3 {}^{2} } [/tex]

(by Pythagoras theorem)

[tex] \large \boxed { \boxed{c.s.a = \pi rl}}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 5[/tex]

[tex]62.8 \: m {}^{2} [/tex]

Surface area of the figure :

[tex]➢ \: \: 100.48 + 251.2 + 62.8[/tex]

[tex]➢ \: \: 414.48 \: \: m {}^{2} [/tex]

[tex]➢ \: \: 414.5 \: m {}^{2} \: \: \: (approx)[/tex]

Now, let's solve for volume :

Volume of given figure will be combined volume of the all three shapes,

1. Volume of hemisphere :

[tex] \boxed{ \boxed{\dfrac{2}{3} \pi {r}^{3} }}[/tex]

[tex]➢ \: \: \dfrac{2}{3} \times 3.14 \times 4 \times 4 \times 4[/tex]

[tex]➢ \: \: 133.97 \: \: { m}^{3} [/tex]

2. Volume of Cylinder :

[tex] \large\boxed{ \boxed{ \pi{r}^{2}h }}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 4 \times 10[/tex]

[tex]➢ \: \: 502.4 \: m {}^{3} [/tex]

3. Volume of cone :

[tex] \large \boxed {\boxed{ \frac{1}{3} \pi {r}^{2}h' }}[/tex]

[tex]➢ \: \: \dfrac{1}{ 3} \times 3.14 \times 4 \times 4 \times 3[/tex]

[tex]➢ \: \: 50.24 \: {m}^{3} [/tex]

The total volume of the given figure :

[tex]➢ \: \: 133.97 + 502.4 + 50.24[/tex]

[tex]➢ \: \: 686.61 \: {m}^{3} [/tex]

or

[tex]➢ \: \: 686.6 \: \: m {}^{3} \: \: \: (approx)[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Nadia has 22 fish

Step-by-step explanation:

476,092-476,070= 22

Answer:

The answer is 952,152 fishes

Step-by-step explanation:

No. of fish in the city aquarium      476,092

No. of fish Nadia's aquarium has= 476,070 more than

More than= +

476,092+476,070=952,152

Each of the five lines of symmetry can be used to map the pentagon to itself in reflection.

A polygon can change without changing its shape when it undergoes a transformation. Examples include rotation, reflection, and translation. A figure's translation is a change in position that necessitates knowledge of both the direction and the distance. The picture is the final shape that emerges from a transformation.

Five lines of symmetry make up a regular pentagon. Each of the five lines of symmetry can be used to map the pentagon to itself in reflection. Rotate the point 144 degrees in order to convert (0, -2). As a result, the 144° transformation translates the standard pentagon with the coordinates (0, -2) onto itself.

Putting a point, line, or other shape on top of a line. A regular polygon needs to be reflected over a symmetry line in order to map onto itself.

Therefore, the correct answer is option c) Reflection across L.

To learn more about transformation refer to:

https://brainly.com/question/29788009

#SPJ1

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

Monthly deposit= $684.23

Step-by-step explanation:

Giving the following information:

Number of periods= 5*12= 60 months

Interest rate= (0.09/12)= 0.0075

Future value= $51,607.5

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (51,607.5*0.0075) / [(1.0075^60) - 1]

A= $684.23

Answer:

Step-by-step explanation:

True

Answer:

Step-by-step explanation:

-3x - 5 = 16

add 5 to both sides of the equation

-3x = 21

divide both sides by -3

x = -7

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

-4(y - 2) = 12

distribute the -4 to everything in the parentheses

-4y + 8 = 12

subtract 8 from both sides of the equation

-4y = 4

divide both sides of the equation by -4

y = -1

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

Answer:

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Step-by-step explanation:

3logy−2logx−4logz

log[tex]y^{3}[/tex]− log[tex]x^{2}[/tex]− log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} }[/tex] − log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Answer:

cos I= 3/5

Step-by-step explanation:

Answer:

The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.

Answer:

A

Step-by-step explanation:

hope this helps

Answer:

42°C

Step-by-step explanation:

32-(-10) =

32 + 10 = 42

Minus a negative makes a positive

Answer: The answer is 96 minutes (or 1 hr 36 minutes)

Step-by-step explanation:

Since it takes George 16 minutes to sew one pillowcase, it would take him 96 minutes/1 hr 36 minutes to sew 6 pillowcases (16x6 or 16+16+16+16+16+16/6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6)

Answer:

x = 15.7945

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 33°

Opposite Leg = x

Hypotenuse = 29

Step 2: Find Angle

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

12 divided by 18 equals 0.666666666666

110ft²

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

Answer:

Salvo en cada library 4.33