Find the area of the pentagon. Round to the nearest square inch. The figure is not drawn to scale.
A) 54 in2
B) 67 in2
C) 72 in2
D) 87 in2

Answer:

Step-by-step explanation:

Answer:

45 cm

Step-by-step explanation:

Area of a triangle:

A = 1/2bh

b = 3 + 2 = 5

A = 1/2(5)(6)

A = 15

Area of a rectangle:

A = bh

A = 12*2.5

A = 30

Combined:

30 + 15 = 45

The sailboat has 2 right angle triangles and a rectangle

First lets find the area of the rectangle then each one of the triangles

Area of rectangle = Length × Height

Area of rectangle = 12 × 2.5

Area of rectangle = 30 cm²

Now lets find the area of triangle on the right,

Area of triangle = Height × base × [tex]\frac{1}{2}[/tex]

Area of triangle = 6 × 3 × [tex]\frac{1}{2}[/tex]

Area of triangle = 18 × [tex]\frac{1}{2}[/tex]

Area of triangle = [tex]\frac{18}{2}[/tex]

Area of triangle = 9 cm²

Now lets find the area of the triangle on the left,

Area of triangle = Height × base × [tex]\frac{1}{2}[/tex]

Area of triangle = 6 × 2 × [tex]\frac{1}{2}[/tex]

Area of triangle = 12 × [tex]\frac{1}{2}[/tex]

Area of triangle = [tex]\frac{12}{2}[/tex]

Area of triangle = 6 cm²

Now lets find the total area of the sailboat,

Total area = Area of rectangle + Area of triangle on the right + Area of triangle on the right

Total area = 30 + 9 + 6

Total area = 39 + 6

Total area = 65 cm²

Therefore the total area of the sailboat is 65 cm²

Happy to help :)

If you need anymore help, feel free to ask

Answer:

D, or (-3,2)

Step-by-step explanation:

Because the point (-3,2) is on the line of the equation shown, it is a solution. You can also notice that none of the other options are on the line and use the process of elimination.

E

Step-by-step explanation:

lolkyuhgt5jjnnnnnnneeeee

Answer:

Cause if u multiply 24/25 x 4 u get 96 and 100 not 99 and 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

x : 100 = 24: 25

x = (24 x 100)/25 = 96%

9514 1404 393

Answer:

  [tex]\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x<-4\end{cases}[/tex]

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

  3x +12 < 0

  x +4 < 0

  x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.

Answer:

—1 ...........................

Answer:

51 degrees

Step-by-step explanation:

Complementary angles are two angles whose sum is (90degrees). If one is given an angle measure and needs to find its complementary angle, then all one has to do is subtract the given angle measure from (90degrees).

90 - 39 = 51

Answer:

Step-by-step explanation:

If one of them is 39°, then the other is:

Answer:

1/12

Step-by-step explanation:

The total number is 12 (assuming the dice would be rolled 12 times) 7 is a number in the range and it will appear once in the 12 rolls because each number shows each time. 1 (how many times 7 will show)/ 12(total number of rolls)

Probability of [tex]7[/tex] when a dice (showing numbers 1 throught 7) is thrown is equal to [tex]\boldsymbol{\frac{7}{12}}[/tex] as a dice is rolled.

Probability refers to chances of occurrence of any event.

Value of probability lies in the interval [tex]\boldsymbol{\left [ 0,1 \right ]}[/tex]

Total number of numbers on a dice [tex]=12[/tex]

Probability is equal to number of favorable outcomes divided by the total number of outcomes.

Probability of [tex]7=\frac{7}{12}[/tex]

Find out more information about probability here:

https://brainly.com/question/11234923?referrer=searchResults

Step-by-step explanation:

[tex] \tan(45) = \frac{x}{13} \\ 1 = \frac{x}{13} \\ x = 13[/tex]

[tex] \cos(45) = \frac{13}{y} \\ 2 \sqrt{2} = \frac{13}{y} \\ 2y \sqrt{2} = 13 \\ y = \frac{13}{2 \sqrt{2} } [/tex]

Answer:

Radius = 21 ft

Diameter = 42 ft

Step-by-step explanation:

Answer:

radius is 10.5 ft.

Step-by-step explanation:

bc I said so

Answer:

7 1/2 quart of paint

Step-by-step explanation:

To get the correct color, Johan mixed 3 1/4 quart of white paint, 1 2/4 quart of blue paint, and 2 3/4 quart of green paint. How much paint did Johan make? *

The above question is solved as:

3 1/4 quart + 1 2/4 quart + 2 3/4 quart

Lowest common denominator = 4

3 + 1 + 2 + ( 1/4 + 2/4 + 3/4)

= 6 + ( 1 + 2 + 3/4)

=( 6 + 6/4) quart

= 6 + 1 2/4 quart

= 7 2/4 quart of paint

= 7 1/2 quart of paint

Therefore, Johan made 7 1/2 quart of paint

What is the payment you start with?

Answer:

50

Step-by-step explanation:

hhh

Answer:

3.99%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] 11.25\: {in}^{3} [/tex]

Step-by-step explanation:

Since, box contains two layers of cubes and each layer has 15 cubes.

So, length = 15*1/2 in = 7.5 in,

width = 3*1/2 in = 1.5 in

height = (1/2 + 1/2) = 1 inch

Volume of box = lbh

= 7.5* 1.5 *1

= 11.25 cubic inches

Answer:

A square has all sides congruent. SIDE A, B, C and D would be congruent in size to one another, and the angles would also be equal to one another. However, most any polygon can be drawn with all sides and angles equal. For instance, an equilateral triangle has all sides and all angles equal, and that is the definition of a polygon. Polygons with more sides are described as "regular" e.g., a stop sign or an equilateral octagon is also a shape that has all sides congruent. A rectangle, however, would not, since only two sides would be congruent to one another.

( I hope this was helpful) >;D

Answer:

36

Step-by-step explanation:

The first step to solving this equation is multiplying. Multiply the numbers on the inside of the square root.

18 × 18 × 4 = 1296

Now, you are going to find the square root of 1296.

[tex]\sqrt{1296}[/tex] = 36

You now have your final answer.

I hope this makes sense and is easy to understand. Please let me know if you need any more help. Have a great day! :]

Answer:

Step-by-step explanation:

[tex]\sqrt{18(18)(4)}\\ \\ \sqrt{2(3^2)2(3^2)2^2}\\ \\ \sqrt{2^4(3^4)}\\ \\ 2^2(3^2)\\ \\ 4(9)\\ \\ 36[/tex]

Answer: 8 regular and 15 mini bouquets

Step-by-step explanation: yw <3

Answer: C- 17

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Given the expression solved by Larry as;

3(2-3) = x

We are to find the equivalent expression x

Using the distributive law;

3(2) - 3(3) = x

6 - 9 = x

-3 = x

Swap

x = -3

Hence Larry could use the distributive law to solve the expression

Answer:

Not congruent.

The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.

Step-by-step explanation:

da - x+5

Explicación

cualquier expresión multiplicada por 1 es igual a si mismo

x-2x+s

agrupe los términos semejantes

-x+5

Answer:

Step-by-step explanation:

2t−3=9−4

2−3=−4+9

=2

Answer:

The correct answer is 25.

Step-by-step explanation:

deposit- 400

interest- 16

Rate= deposit divided by interest

400 divided by 16 = 25

Answer:

65%

Step-by-step explanation:

65% + 35%=100%

Answer:

∡x = 30°

∡y = 70°

∡z = 80°

Step-by-step explanation:

Answer:

1)

The product of seven and a number x:   7·x = 7x

Five less than the product of seven and a number x:

2)

nine times a number y:  9·y = 9y

The difference of nine times a number y and eighteen:

3)

half a number n:   0.5n

four times the number:   4·n = 4n

Half a number n increased by four times the number:

4)

a number w cubed:  w³

the sum of a number w cubed and twenty-three:  w³+23

Twice the sum of a number w cubed and twenty-three:

Answer:

Step-by-step explanation:

by pythagoras theorm