What is the area of the figure . Round to the nearest tenth.

Answer:

84 ft^2

Step-by-step explanation:

[tex] \frac{7 + 24 + 25}{2} = 28[/tex]

The area is:

[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]

[tex] = 84 \: {ft}^{2} [/tex]

Answer:

(a) PT = 13 cm

(b) <PTR = [tex]39.7^{o}[/tex]

Step-by-step explanation:

(a) Applying the Pythagoras theorem to QST, we have;

[tex]QS^{2}[/tex] = [tex]ST^{2}[/tex] + [tex]QT^{2}[/tex]

      = [tex]6^{2}[/tex] + [tex]8^{2}[/tex]

[tex]QS^{2}[/tex] = 36 + 64

       100

QS = [tex]\sqrt{100}[/tex]

     = 10

QS = 10 cm

Since QS = TR, then;

WT = [tex]\frac{1}{2}[/tex] TR

      = [tex]\frac{1}{2}[/tex] x 10

WT = 5 cm

Thus, applying Pathagoras theorem to PWT;

[tex]PT^{2}[/tex] = [tex]PW^{2}[/tex] + [tex]WT^{2}[/tex]

      = [tex]12^{2}[/tex] + [tex]5^{2}[/tex]

      = 144 + 25

[tex]PT^{2}[/tex] = 169

PT = [tex]\sqrt{169}[/tex]

    = 13

PT = 13 cm

(b) To determine <PTR, TR = 10 cm. Apply the required trigonometric function;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos θ = [tex]\frac{10}{13}[/tex]

          = 0.7692

θ = [tex]Cos^{-1}[/tex] 0.7692

  = 39.7179

θ = [tex]39.7^{o}[/tex]

Therefore, <PTR = [tex]39.7^{o}[/tex]

Answer:

19

Step-by-step explanation:

Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19

Answer:

down below.

Step-by-step explanation:

straight lines are always 180.

[tex]x+34+2x+2=180\\3x+36=180\\3x+36-36=180-36\\3x=144\\3x/3=144/3\\x=48[/tex]

Answer:

Well, it depends on their heights . If both figures have same height, then the one with greater surface area will have greater volume.

Step-by-step explanation:

Answer:

8 cents

Step-by-step explanation:

i'm going to assume you mean the value the store gets from selling the apples

33 - 25 =8

Answer:

21%

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Let the number of candy Ed took be denoted as "x"

Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"

Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48

This means:

2x + x = 48

3x = 48

X = 16.

Answer:

144

Step-by-step explanation:

Surface Area is the area of every side.

Top and bottom:  6*8/2=24 (area of a triangle)

small side: 6*4=24

medium side: 4*8=32

large side: 4*10=40

So answer 24+24+24+32+40=144

Have a Great Day! (This is my first answer)

Answer:

D

Step-by-step explanation:

if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.

Answer: 10.4

Step-by-step explanation:

(10x - 4) ÷ 5 = 20

             * 5    * 5

10x - 4 = 100

     + 4    + 4

10x = 104

/ 10   / 10

x = 10.4

Answer:

$31.94

Step-by-step explanation:

29.99 x 0.065 = 1.95

29.99 + 1.95= 31.94 :)

Answer:

$31.94

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

So every 12 weeks there are 4 jars right? right.

1.) Divide 33 by 12 and you will get 2.75

2.) Then multiply 2.75 by 4 and you will get 11!

The problem is a bit hard to understand but I hope I answer your question correctly! Have a great day! :)

Answer:

x=19(rounded) or 18.7882942281

Step-by-step explanation:

a^2+b^2=C^2

8^2+17^2=C^2

64+289= C^2

353=C^2

[tex]\sqrt{353} =\sqrt{C^2}\\[/tex]

18.7882942281= C

19= C

Answer:

Step-by-step explanation:

Note the f(0) = 9

and f(1) = 15

Since, f(x) = abˣ substituting for x, we get:

9 = f(0) = a . b⁰ = a

⇒ a = 9

Now, f(1) = 15

⇒ 15 = a . b¹

⇒ 15 = 9 . b

⇒ b = 15/19

Therefore,

f (r) = 9. (5/3)

Hence, the answer.

Answer:

Line PQ = Line XY

Line QR = Line YZ

Line RP = Line ZX

Angle P = Angle X

Angle Q = Angle Y

Angle R = Angle Z

Step-by-step explanation:

They're the same shape, just rotated and with different letters.

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Answer:

X > 2

Step-by-step explanation:

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

Given:

Length of the rectangular prism = 13 units.

Width of the rectangular prism = 6 units.

Height of the rectangular prism = 4 units.

To find:

The volume of the rectangular prism.

Solution:

We know that the volume of the rectangular prism is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth or width and h is the height of the rectangular prism.

Putting [tex]l=13,b=6,h=4[/tex] in the above formula, we get

[tex]V=13\times 6\times 4[/tex]

[tex]V=312[/tex]

Therefore, the volume of the given rectangular prism is 312 cubic units.

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

Answer: a.

a. PROPOSITION ONE is true and PROPOSITION TWO is true

b. PROPOSITION ONE is true and PROPOSITION TWO is false

c. PROPOSITION ONE is false and PROPOSITION TWO is true

d. PROPOSITION ONE is false and PROPOSITION TWO is false

e. None of the above

Answer:

The answer is 4m-1

Step-by-step explanation:

Answer:

2 + m -1 + m

Step-by-step explanation:

Answer: 47.6 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4Step-by-step explanation:

Answer:

1/12

hope this helps

have a good day :)

Step-by-step explanation:

The solution is 1/12 , is the simplest form of 1/6 divided by 2.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

1/6 divided by 2

i.e. 1/6÷ 2

=1/6* 1/2

=1/12

Hence, The solution is 1/12 , is the simplest form of 1/6 divided by 2.

To learn more on division click:

brainly.com/question/21416852

#SPJ5

Answer:

90 degrees because it is a corner.... and it make a perfect right angle

Step-by-step explanation:

The value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of the function is shown in the picture.

From the graph the value of f(4) can be evaluated as follows:

y = f(x)

Plug x = 4

y = f(4)

From the graph:

Draw a vertical line from point 3 on the x-axis and when it cuts the curve draw a horizontal line when the line cuts the y-axis note the point.

y = f(4) = 3

Thus, the value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

No its not a polygon.

It has a curve where as a polygon is a plane figure with at least three straight sides and angles

Thanks for the help xoxoate!

Answer:

1/3

Step-by-step explanation: