Find the volume of the right triangular prism shown:

Answer:

Area = 314 in.²

Step-by-step explanation:

Radius of the circle = 10 in.

Formula for area of a circle = πr²

Radius (r) = 10 in.

Plug in the value of r into the formula

Area = π*10²

Area = π*100

Area = 314.159

Area = 314 in.² (nearest whole number)

Answer:

The area of circle is 314 in².

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]

Solution :

Finding the area of circle by substituting the values in the formula :

[tex] \begin{gathered} \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10)}^{2}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(10 \times 10)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times {(100)}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 3.14 \times 100}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 100}}} \\ \\\qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = \dfrac{314}{\cancel{100}} \times \cancel{100}}}} \\ \\ \qquad\dashrightarrow{\small{\sf{Area_{(Circle)} = 314 \: {in}^{2}}}} \\ \\ \qquad\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = 314 \: {in}^{2}}}}}}}\end{gathered}[/tex]

Hence, the area of circle is 314 cm².

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Answer:

31

Step-by-step explanation:

Let the missing angle be x.

Sum of angles in a triangle is supplementary,

x + 20 + 129 = 180

x + 149 = 180

x = 180 - 149

x = 31

Answer:

31

Step-by-step explanation:

A triangle is 180 degrees.

129 + 20 = 149

180 - 49 = 33

Whats the total package cost of the pond and he said he would have to be full of Candy :')

Answer:

242 or 15.6

Step-by-step explanation:

Answer:

¡Hola! Estoy bien y ese es un lindo cachorro

Step-by-step explanation:

Answer:

77,000

Step-by-step explanation:

If 72,000 is 150% of direct labor, then direct labor is 48,000 (72000/1.5)

direct labor 48000

overhead.    72000

total.           120,000

total costs:           197,000

less total above:  120,000

=material costs.     77,000

Answer:

180

Step-by-step explanation:

If you add 60 +60 + 60, or 60 + 50 + 70, both would add up to 180, since x = 60. This is why both triangles, have a complete of 180.

Answer:

A triangle has 3 sides in every triangle all the three sides should sum up to 180°.

In the 1st figure,

70+50+x=180 (being sum of triangle)

now 120+x=180

x=180-120

=60

Step-by-step explanation:

In the 2nd figure

x is 60

60+60+60=180,

Thus explained

Answer:

x = 117

Step-by-step explanation:

Given

11 - [tex]\sqrt{x+4}[/tex] = 0 ( subtract 11 from both sides )

- [tex]\sqrt{x+4}[/tex] = - 11 ( square both sides )

(- [tex]\sqrt{x+4}[/tex] )² = (- 11)²

x + 4 = 121 ( subtract 4 from both sides )

x = 117

Answer:

5.39

Step-by-step explanation3.14

Answer:

5 ( x + 7 )

Step-by-step explanation:

= 5x + 35

= 5 ( x + 7 )

Therefore, after factorizing you will get 5 ( x + 7 )

Answer:

hey , it can be factored:

this is the factored expression:

5(x+7)

Answer:

0.109

Step-by-step explanation:

Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:

8! / (6! x 2!) - 28

So, the probability is:

28 / 2^8 or 28/256

As a decimal, this is: 0.109375

And rounded to the nearest thousandth it's 0.109

Answer:

Full problem or picture?

Answer:

D

Step-by-step explanation:

Area =  l × w

=  30 × 20

=  600 feet2

Answer:

(2 , 1)

Step-by-step explanation:

point Z (x, y)

x = 3/5 × (6+4) + (-4)

= 3/5×10 -4

= 6-4

= 2

y = 3/5 ×(3+2) + (-2)

= 3/5 ×5 -2

= 3-2

= 1

so, point Z => (2 , 1)

Answer:

c. /pi/2

Step-by-step explanation:

[tex]y = \sin(4x) \\ y = 2\pi \omega[/tex]

Option C ,  pi/2 is the period of the sine function y = sin (4x)

The amplitude of a periodic variable is a measure of its change in a single period.

The amplitude of a non-periodic signal is its magnitude compared with a reference value.

sin4x=sin(4x+4h)

sin(θ+2π)=sinθ , we have  4h=2π ,  h=π/2

or it can be also understood as

The amplitude and period of y = a sin (bx + c ) are a and 2π/b

Here, a = 1 and b = 4.

This sine wave oscillates between the crests at y = 1 and the lowest points at y= -1 periodically, with period π/2 for one full wave.

period of sin(4x) is (1/4)x(period of sin(x))

= (1/4)x(2pi)

= (pi/2) .

To know more about Amplitude

https://brainly.com/question/8662436

#SPJ2

we know that

if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar

then

the scale factor is equal to

so

substitute the value of the scale factor

therefore

the answer is the option

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller prism.

Step-by-step explanation:

[tex] \binom{ \lim}{x→0} ( \frac{1}{x} - \frac{1}{ \ \: sinx} ) = \binom{ \lim}{x→0}( \frac{ \ sinx - x }{x \ sinx } ) = \binom{ \lim}{x→0}( \frac{ \ cosx - 1 }{x \ cosx + \ sinx } ) = \frac{0}{0} = 0[/tex]

Answer:

c: 120

Step-by-step explanation:

9514 1404 393

Answer:

  7 minutes

Step-by-step explanation:

The total of stacks per minute is ...

  1/10 +1/35 +1/70 = (7+2+1)/70 = 1/7 . . . . stacks per minute

The rate in minutes per stack is the reciprocal of this.

Working together, the workers can sort a stack of mail in 7 minutes.

Answer:

is it 120

Step-by-step explanation:

it is 120 I can't really explain how I got it though

Answer:

what figure there is no picture

to know the area of

Answer:I put c I have the same question I'm doing a test

Step-by-step explanation:

Answer:

answer=c

Step-by-step explanation:

is the right answer

Step-by-step explanation:

To get through school nd have something to do w your life!

Answer:

3. B

4. B

5. C

Step-by-step explanation:

The correct answer is Option (4).

Answer:

The area of the parallelogram is of 46.3 square feet.

Step-by-step explanation:

Area of a parallelogram:

The area of a parallelogram, given two sides a and b and the angle C between them, is given by:

[tex]A = ab\sin{C}[/tex]

In this question:

[tex]a = 9.5, b = 4.9, C = 96º[/tex]

Sides in feet, so area in square feet.

Area

[tex]A = ab\sin{C} = 9.5*4.9\sin{96º} = 46.3[/tex]

The area of the parallelogram is of 46.3 square feet.

Answer:

Option (4)

Step-by-step explanation:

By the property of congruence of the triangles given in the figure,

ΔCDE ≅ ΔHFG

By applying triangle sum theorem in ΔCDE,

m∠C + m∠D + m∠E = 180°

32° + 112° + m∠E = 180°

m∠E = 180° - 144°

m∠E = 36°

Corresponding side and angles of two congruent triangles are equal in measure.

Therefore, m∠E = m∠G

36° = (4y + 8)°

4y = 36 - 8

4y = 28

y = 7

Similarly, FG = DE

41 = 3x + 2

3x = 41 - 2

3x = 39

x = 13

Therefore, Option (4) will be the correct option.

Answer:

x=13

y=32

Step-by-step explanation:

x+y=45

x+19=y

45-y+19=y

2y=64

y=32

x=13

Answer: The other number is 19 more than that number represented by x + 19

Equation: x + (x + 19) = 45

The numbers are 13 and 32

Step-by-step explanation:

So we know that the sum is 45, and that one of the numbers in the equation is 19 more than the other. We can call one of the numbers "x". The instructions tell us that the second number is 19 more than x, so the second number can be written as this equation: x+19

Equation: x + (x + 19) = 45

2x + 19 = 45

2x = 26

x = 13

Plug x back into the equation to find the second number (x + 19)

x + 19

13 + 19 = 32